0.00/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SCj1RWKKQQ true 0.14/0.35 % Computer : n010.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 1200 0.14/0.35 % WCLimit : 120 0.14/0.35 % DateTime : Tue Jul 13 10:18:23 EDT 2021 0.14/0.35 % CPUTime : 0.14/0.35 % Running portfolio for 120 s 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.14/0.35 % Number of cores: 8 0.14/0.36 % Python version: Python 3.6.8 0.14/0.36 % Running in HO mode 0.21/0.60 % Total configuration time : 828 0.21/0.60 % Estimated wc time : 983 0.21/0.60 % Estimated cpu time (8 cpus) : 122.875 0.71/0.67 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 47s 0.83/0.68 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 47s 0.83/0.68 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 47s 0.83/0.69 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 18s 0.83/0.69 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 41s 0.83/0.69 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 53s 0.83/0.71 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.83/0.73 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 35s 142.10/18.69 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 53s 198.71/26.18 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 33s 275.64/36.05 % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 18s 284.86/37.32 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh could not parse the output 284.86/37.32 % % running E: timeout 14 /export/starexec/sandbox/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox/tmp/tmp.SCj1RWKKQQ/e_input661409 --cpu-limit=12 --auto -s -p 284.86/37.32 % orig: F221985 284.86/37.32 % (#sk1 284.86/37.32 % ( (Y0:). 284.86/37.32 % ( prop. (Y1: prop). 284.86/37.32 % (( . (Y2:). 284.86/37.32 % ((Y1 Y2 #sk1 Y1 Y2)) 284.86/37.32 % Y1 Y0)))) 284.86/37.32 % #sk2)[2]=?= (Y0:). 284.86/37.32 % (#sk1 284.86/37.32 % ( (Y1:). 284.86/37.32 % ( prop. (Y2: prop). 284.86/37.32 % ((Y2 Y1 284.86/37.32 % . (Y3:). 284.86/37.32 % ((Y2 Y3 284.86/37.32 % #sk1 Y2 Y3)))))) 284.86/37.32 % (F221986 Y0))[2] 284.86/37.32 % orig_sub: {F0[0] F221986[2], 284.86/37.32 % F-117414[1] F221985[2], 284.86/37.32 % A-117413[1] A221984[2], 284.86/37.32 % A221984[2] prop[2]} 284.86/37.32 % orig_app: F221985 284.86/37.32 % (#sk1 284.86/37.32 % ( (Y0:). 284.86/37.32 % ( prop. (Y1: prop). 284.86/37.32 % (( . (Y2:). 284.86/37.32 % ((Y1 Y2 #sk1 Y1 Y2)) 284.86/37.32 % Y1 Y0)))) 284.86/37.32 % #sk2)=?= (Y0:). 284.86/37.32 % (#sk1 284.86/37.32 % ( (Y1:). 284.86/37.32 % ( prop. (Y2: prop). 284.86/37.32 % ((Y2 Y1 284.86/37.32 % . (Y3:). 284.86/37.32 % ((Y2 Y3 284.86/37.32 % #sk1 Y2 Y3)))))) 284.86/37.32 % (F221986 Y0)) 284.86/37.32 % new_sub: {F0[0] F221986[2], 284.86/37.32 % F-117414[1] F221985[2], 284.86/37.32 % A-117413[1] A221984[2], 284.86/37.32 % A221984[2] prop[2], 284.86/37.32 % F221985[2] (Y0:prop) (Y1:). Y0[2], 284.86/37.32 % F221986[2] (Y0:). #sk2[2]} 284.86/37.32 % res: (Y0:). 284.86/37.32 % (#sk1 284.86/37.32 % ( (Y1:). 284.86/37.32 % ( prop. (Y2: prop). 284.86/37.32 % (( . (Y3:). 284.86/37.32 % ((Y2 Y3 #sk1 Y2 Y3)) 284.86/37.32 % Y2 Y1)))) 284.86/37.32 % #sk2)=?= (Y0:). 284.86/37.32 % (#sk1 284.86/37.32 % ( (Y1:). 284.86/37.32 % ( prop. (Y2: prop). 284.86/37.32 % ((Y2 Y1 284.86/37.32 % . (Y3:). 284.86/37.32 % ((Y2 Y3 #sk1 Y2 Y3)))))) 284.86/37.32 % #sk2) 284.86/37.32 % File "src/core/SolidUnif.ml", line 499, characters 6-12: Assertion failed 284.86/37.32 % 284.86/37.32 % 284.86/37.32 % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 18s 321.18/41.89 % /export/starexec/sandbox/solver/bin/lams/33_shallow_sine.sh running for 39s 364.04/47.49 % /export/starexec/sandbox/solver/bin/lams/40_e_lift.sh running for 47s 364.04/47.52 % /export/starexec/sandbox/solver/bin/lams/15_lifting1.sh running for 18s 365.27/47.71 % /export/starexec/sandbox/solver/bin/lams/8_new_cnf.sh running for 10s 413.09/53.86 % /export/starexec/sandbox/solver/bin/lams/10_e_short2.sh running for 12s 423.36/55.31 % /export/starexec/sandbox/solver/bin/lams/8_add_var_l_av.sh running for 10s 423.36/55.36 % /export/starexec/sandbox/solver/bin/lams/8_new_sh_or.sh running for 10s 439.86/57.51 % /export/starexec/sandbox/solver/bin/lams/30_old_zip1.sh running for 21s 451.45/58.98 % /export/starexec/sandbox/solver/bin/lams/10_shallow_lift.sh running for 18s 500.36/65.18 % /export/starexec/sandbox/solver/bin/lams/15_lcnf_noform.sh running for 18s 501.54/65.31 % /export/starexec/sandbox/solver/bin/lams/8_sh.eqenc2.sh running for 6s 502.11/65.41 % /export/starexec/sandbox/solver/bin/lams/8_cmb.lcnf4.sh running for 6s 503.49/65.70 % /export/starexec/sandbox/solver/bin/lams/8_new_l_av.sh running for 14s 545.96/71.15 % /export/starexec/sandbox/solver/bin/lams/10_forms1.sh running for 12s 548.10/71.51 % /export/starexec/sandbox/solver/bin/lams/10_forms4.sh running for 12s 574.97/75.01 % Solved by lams/8_new_l_av.sh. 574.97/75.01 % done 897 iterations in 9.231s 574.97/75.01 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 574.97/75.01 % SZS output start Refutation 574.97/75.01 thf('#sk29_type', type, '#sk29': ($i > $o) > $i). 574.97/75.01 thf('#sk187_type', type, '#sk187': $i). 574.97/75.01 thf('#sk7_type', type, '#sk7': ($i > $o) > $i). 574.97/75.01 thf('#sk1_type', type, '#sk1': ($i > $o) > $i > $o). 574.97/75.01 thf('#sk16_type', type, '#sk16': $i > $o). 574.97/75.01 thf('#form368_type', type, '#form368': $o). 574.97/75.01 thf('#form540_type', type, '#form540': $o). 574.97/75.01 thf('#sk8_type', type, '#sk8': $i). 574.97/75.01 thf('#sk90_type', type, '#sk90': $i > $o). 574.97/75.01 thf('#sk2_type', type, '#sk2': $i). 574.97/75.01 thf(cTHM2C_pme, conjecture, 574.97/75.01 (![K:( ( $i > $o ) > $i > $o )]: 574.97/75.01 ( ( ( ![Xx:( $i > $o )]: 574.97/75.01 ( ( ![Xx0:$i]: 574.97/75.01 ( ( Xx @ Xx0 ) => 574.97/75.01 ( ?[S:( $i > $o )]: 574.97/75.01 ( ( ![Xx1:$i]: ( ( S @ Xx1 ) => ( K @ S @ Xx1 ) ) ) & 574.97/75.01 ( S @ Xx0 ) ) ) ) ) => 574.97/75.01 ( ![Xx0:$i]: 574.97/75.01 ( ( K @ Xx @ Xx0 ) => 574.97/75.01 ( K @ 574.97/75.01 ( ^[Xx1:$i]: 574.97/75.01 ( ?[S:( $i > $o )]: 574.97/75.01 ( ( S @ Xx1 ) & 574.97/75.01 ( ![Xx2:$i]: ( ( S @ Xx2 ) => ( K @ S @ Xx2 ) ) ) ) ) ) @ 574.97/75.01 Xx0 ) ) ) ) ) & 574.97/75.01 ( ( ![Xx:$i]: 574.97/75.01 ( ( ?[S:( $i > $o )]: 574.97/75.01 ( ( ![Xx0:$i]: ( ( S @ Xx0 ) => ( K @ S @ Xx0 ) ) ) & 574.97/75.01 ( S @ Xx ) ) ) => 574.97/75.01 ( K @ 574.97/75.01 ( ^[Xx0:$i]: 574.97/75.01 ( ?[S:( $i > $o )]: 574.97/75.01 ( ( S @ Xx0 ) & 574.97/75.01 ( ![Xx1:$i]: ( ( S @ Xx1 ) => ( K @ S @ Xx1 ) ) ) ) ) ) @ 574.97/75.01 Xx ) ) ) => 574.97/75.01 ( ![Xx:$i]: 574.97/75.01 ( ( K @ 574.97/75.01 ( ^[Xx0:$i]: 574.97/75.01 ( ?[S:( $i > $o )]: 574.97/75.01 ( ( ![Xx1:$i]: ( ( S @ Xx1 ) => ( K @ S @ Xx1 ) ) ) & 574.97/75.01 ( S @ Xx0 ) ) ) ) @ 574.97/75.01 Xx ) => 574.97/75.01 ( K @ 574.97/75.01 ( K @ 574.97/75.01 ( ^[Xx0:$i]: 574.97/75.01 ( ?[S:( $i > $o )]: 574.97/75.01 ( ( ![Xx1:$i]: ( ( S @ Xx1 ) => ( K @ S @ Xx1 ) ) ) & 574.97/75.01 ( S @ Xx0 ) ) ) ) ) @ 574.97/75.01 Xx ) ) ) ) ) => 574.97/75.01 ( ![Xx:$i]: 574.97/75.01 ( ( ?[S:( $i > $o )]: 574.97/75.01 ( ( ![Xx0:$i]: ( ( S @ Xx0 ) => ( K @ S @ Xx0 ) ) ) & ( S @ Xx ) ) ) <=> 574.97/75.01 ( K @ 574.97/75.01 ( ^[Xx0:$i]: 574.97/75.01 ( ?[S:( $i > $o )]: 574.97/75.01 ( ( ![Xx1:$i]: ( ( S @ Xx1 ) => ( K @ S @ Xx1 ) ) ) & 574.97/75.01 ( S @ Xx0 ) ) ) ) @ 574.97/75.01 Xx ) ) ) ))). 574.97/75.01 thf(zf_stmt_0, negated_conjecture, 574.97/75.01 (~( ![K:( ( $i > $o ) > $i > $o )]: 574.97/75.01 ( ( ( ![Xx:( $i > $o )]: 574.97/75.01 ( ( ![Xx0:$i]: 574.97/75.01 ( ( Xx @ Xx0 ) => 574.97/75.01 ( ?[S:( $i > $o )]: 574.97/75.01 ( ( ![Xx1:$i]: ( ( S @ Xx1 ) => ( K @ S @ Xx1 ) ) ) & 574.97/75.01 ( S @ Xx0 ) ) ) ) ) => 574.97/75.01 ( ![Xx0:$i]: 574.97/75.01 ( ( K @ Xx @ Xx0 ) => 574.97/75.01 ( K @ 574.97/75.01 ( ^[Xx1:$i]: 574.97/75.01 ( ?[S:( $i > $o )]: 574.97/75.01 ( ( S @ Xx1 ) & 574.97/75.01 ( ![Xx2:$i]: ( ( S @ Xx2 ) => ( K @ S @ Xx2 ) ) ) ) ) ) @ 574.97/75.01 Xx0 ) ) ) ) ) & 574.97/75.01 ( ( ![Xx:$i]: 574.97/75.01 ( ( ?[S:( $i > $o )]: 574.97/75.01 ( ( ![Xx0:$i]: ( ( S @ Xx0 ) => ( K @ S @ Xx0 ) ) ) & 574.97/75.01 ( S @ Xx ) ) ) => 574.97/75.01 ( K @ 574.97/75.01 ( ^[Xx0:$i]: 574.97/75.01 ( ?[S:( $i > $o )]: 574.97/75.01 ( ( S @ Xx0 ) & 574.97/75.01 ( ![Xx1:$i]: ( ( S @ Xx1 ) => ( K @ S @ Xx1 ) ) ) ) ) ) @ 574.97/75.01 Xx ) ) ) => 574.97/75.01 ( ![Xx:$i]: 574.97/75.01 ( ( K @ 574.97/75.01 ( ^[Xx0:$i]: 574.97/75.01 ( ?[S:( $i > $o )]: 574.97/75.01 ( ( ![Xx1:$i]: ( ( S @ Xx1 ) => ( K @ S @ Xx1 ) ) ) & 574.97/75.01 ( S @ Xx0 ) ) ) ) @ 574.97/75.01 Xx ) => 574.97/75.01 ( K @ 574.97/75.01 ( K @ 574.97/75.01 ( ^[Xx0:$i]: 574.97/75.01 ( ?[S:( $i > $o )]: 574.97/75.01 ( ( ![Xx1:$i]: ( ( S @ Xx1 ) => ( K @ S @ Xx1 ) ) ) & 574.97/75.01 ( S @ Xx0 ) ) ) ) ) @ 574.97/75.01 Xx ) ) ) ) ) => 574.97/75.01 ( ![Xx:$i]: 574.97/75.01 ( ( ?[S:( $i > $o )]: 574.97/75.01 ( ( ![Xx0:$i]: ( ( S @ Xx0 ) => ( K @ S @ Xx0 ) ) ) & 574.97/75.01 ( S @ Xx ) ) ) <=> 574.97/75.01 ( K @ 574.97/75.01 ( ^[Xx0:$i]: 574.97/75.01 ( ?[S:( $i > $o )]: 574.97/75.01 ( ( ![Xx1:$i]: ( ( S @ Xx1 ) => ( K @ S @ Xx1 ) ) ) & 574.97/75.01 ( S @ Xx0 ) ) ) ) @ 574.97/75.01 Xx ) ) ) ) )), 574.97/75.01 inference('cnf.neg', [status(esa)], [cTHM2C_pme])). 574.97/75.01 thf(zip_derived_cl0, plain, 574.97/75.01 (~ (((!!) @ (^[Y0 : ($i > $o) > $i > $o]: 574.97/75.01 (((((((!!) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 (((??) @ (^[Y3 : $i > $o]: 574.97/75.01 (((((!!) @ ( 574.97/75.01 ^[Y4 : $i]: 574.97/75.01 (( 574.97/75.01 (Y3 @ 574.97/75.01 Y4) => 574.97/75.01 (Y0 @ 574.97/75.01 Y3 @ Y4)))))) & 574.97/75.01 (Y3 @ Y2))))))))))) => 574.97/75.01 (((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y0 @ Y1 @ Y2) => (Y0 @ 574.97/75.01 (^[Y3 : $i]: 574.97/75.01 (((??) @ (^[Y4 : $i > $o]: 574.97/75.01 (((Y4 @ 574.97/75.01 Y3) & 574.97/75.01 (( 574.97/75.01 (!!) @ ( 574.97/75.01 ^[Y5 : $i]: 574.97/75.01 (( 574.97/75.01 (Y4 @ 574.97/75.01 Y5) => 574.97/75.01 (Y0 @ 574.97/75.01 Y4 @ Y5)))))))))))) @ 574.97/75.01 Y2))))))))))) & 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ 574.97/75.01 Y3) => 574.97/75.01 (Y0 @ 574.97/75.01 Y2 @ Y3)))))) & 574.97/75.01 (Y2 @ Y1)))))) => 574.97/75.01 (Y0 @ 574.97/75.01 (^[Y2 : $i]: 574.97/75.01 (((??) @ (^[Y3 : $i > $o]: 574.97/75.01 (((Y3 @ Y2) & 574.97/75.01 (((!!) @ (^[Y4 : $i]: 574.97/75.01 ( 574.97/75.01 ( 574.97/75.01 (Y3 @ 574.97/75.01 Y4) => 574.97/75.01 (Y0 @ 574.97/75.01 Y3 @ Y4)))))))))))) @ 574.97/75.01 Y1)))))) => 574.97/75.01 (((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ 574.97/75.01 (^[Y2 : $i]: 574.97/75.01 (((??) @ (^[Y3 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y4 : $i]: 574.97/75.01 ( 574.97/75.01 ( 574.97/75.01 (Y3 @ 574.97/75.01 Y4) => 574.97/75.01 (Y0 @ 574.97/75.01 Y3 @ Y4)))))) & 574.97/75.01 (Y3 @ Y2))))))) @ 574.97/75.01 Y1) => (Y0 @ 574.97/75.01 (Y0 @ 574.97/75.01 (^[Y2 : $i]: 574.97/75.01 (((??) @ (^[Y3 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y4 : $i]: 574.97/75.01 (( 574.97/75.01 (Y3 @ 574.97/75.01 Y4) => 574.97/75.01 (Y0 @ 574.97/75.01 Y3 @ Y4)))))) & 574.97/75.01 (Y3 @ Y2)))))))) @ 574.97/75.01 Y1)))))))))) => 574.97/75.01 (((!!) @ (^[Y1 : $i]: 574.97/75.01 (((((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 (Y0 @ Y2 @ Y3)))))) & 574.97/75.01 (Y2 @ Y1)))))) <=> 574.97/75.01 (Y0 @ 574.97/75.01 (^[Y2 : $i]: 574.97/75.01 (((??) @ (^[Y3 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y4 : $i]: 574.97/75.01 (((Y3 @ 574.97/75.01 Y4) => 574.97/75.01 (Y0 @ Y3 @ 574.97/75.01 Y4)))))) & 574.97/75.01 (Y3 @ Y2))))))) @ 574.97/75.01 Y1)))))))))))), 574.97/75.01 inference('cnf', [status(esa)], [zf_stmt_0])). 574.97/75.01 thf(zip_derived_cl1, plain, 574.97/75.01 (~ (((((((!!) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ 574.97/75.01 Y3) => 574.97/75.01 ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))) & 574.97/75.01 (Y2 @ Y1))))))))))) => 574.97/75.01 (((!!) @ (^[Y1 : $i]: 574.97/75.01 ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ 574.97/75.01 (^[Y2 : $i]: 574.97/75.01 (((??) @ (^[Y3 : $i > $o]: 574.97/75.01 (((Y3 @ Y2) & 574.97/75.01 (((!!) @ (^[Y4 : $i]: 574.97/75.01 ( 574.97/75.01 ( 574.97/75.01 (Y3 @ 574.97/75.01 Y4) => 574.97/75.01 ('#sk1' @ 574.97/75.01 Y3 @ Y4)))))))))))) @ 574.97/75.01 Y1))))))))))) & 574.97/75.01 (((((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0)))))) => 574.97/75.01 (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))) & 574.97/75.01 (Y2 @ Y1))))))) @ 574.97/75.01 Y0) => ('#sk1' @ 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))) & 574.97/75.01 (Y2 @ Y1)))))))) @ 574.97/75.01 Y0)))))))))) => 574.97/75.01 (((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ 574.97/75.01 Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) <=> 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))) & 574.97/75.01 (Y2 @ Y1))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 574.97/75.01 thf(zip_derived_cl3, plain, 574.97/75.01 (~ (((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ 574.97/75.01 Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) <=> 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))) & 574.97/75.01 (Y2 @ Y1))))))) @ 574.97/75.01 Y0))))))), 574.97/75.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])). 574.97/75.01 thf(zip_derived_cl6, plain, 574.97/75.01 (~ (((((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2')))))) <=> 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2')))), 574.97/75.01 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])). 574.97/75.01 thf(zip_derived_cl9, plain, 574.97/75.01 (((((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2')))))) 574.97/75.01 != ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2'))), 574.97/75.01 inference('simplify nested equalities', [status(thm)], [zip_derived_cl6])). 574.97/75.01 thf(zip_derived_cl41, plain, 574.97/75.01 (( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2')))))) 574.97/75.01 | ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2'))), 574.97/75.01 inference('eq_elim', [status(thm)], [zip_derived_cl9])). 574.97/75.01 thf(zip_derived_cl60, plain, 574.97/75.01 (( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2'))))))) 574.97/75.01 <= (( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2'))))))))), 574.97/75.01 inference('split', [status(esa)], [zip_derived_cl41])). 574.97/75.01 thf(zip_derived_cl63, plain, 574.97/75.01 (( (((((!!) @ (^[Y0 : $i]: ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0)))))) & 574.97/75.01 ('#sk90' @ '#sk2')))) 574.97/75.01 <= (( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2'))))))))), 574.97/75.01 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl60])). 574.97/75.01 thf(zip_derived_cl64, plain, 574.97/75.01 (( (((!!) @ (^[Y0 : $i]: ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0))))))) 574.97/75.01 <= (( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2'))))))))), 574.97/75.01 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl63])). 574.97/75.01 thf(zip_derived_cl66, plain, 574.97/75.01 ((![X2 : $i]: ((('#sk90' @ X2) => ('#sk1' @ '#sk90' @ X2)))) 574.97/75.01 <= (( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2'))))))))), 574.97/75.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl64])). 574.97/75.01 thf(zip_derived_cl67, plain, 574.97/75.01 ((![X2 : $i]: (~ ('#sk90' @ X2) | ('#sk1' @ '#sk90' @ X2))) 574.97/75.01 <= (( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2'))))))))), 574.97/75.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl66])). 574.97/75.01 thf(zip_derived_cl2, plain, 574.97/75.01 ( (((((!!) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))) & 574.97/75.01 (Y2 @ Y1))))))))))) => 574.97/75.01 (((!!) @ (^[Y1 : $i]: 574.97/75.01 ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ 574.97/75.01 (^[Y2 : $i]: 574.97/75.01 (((??) @ (^[Y3 : $i > $o]: 574.97/75.01 (((Y3 @ Y2) & 574.97/75.01 (((!!) @ (^[Y4 : $i]: 574.97/75.01 (((Y3 @ 574.97/75.01 Y4) => 574.97/75.01 ('#sk1' @ 574.97/75.01 Y3 @ Y4)))))))))))) @ 574.97/75.01 Y1))))))))))) & 574.97/75.01 (((((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ 574.97/75.01 Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0)))))) => 574.97/75.01 (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))) & 574.97/75.01 (Y2 @ Y1))))))) @ 574.97/75.01 Y0) => ('#sk1' @ 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))) & 574.97/75.01 (Y2 @ Y1)))))))) @ 574.97/75.01 Y0))))))))))), 574.97/75.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1])). 574.97/75.01 thf(zip_derived_cl5, plain, 574.97/75.01 ( (((((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ 574.97/75.01 Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0)))))) => 574.97/75.01 (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))) & 574.97/75.01 (Y2 @ Y1))))))) @ 574.97/75.01 Y0) => ('#sk1' @ 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))) & 574.97/75.01 (Y2 @ Y1)))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl2])). 574.97/75.01 thf(zip_derived_cl8, plain, 574.97/75.01 ((~ (((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ 574.97/75.01 Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0)))))) 574.97/75.01 | (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))) & 574.97/75.01 (Y2 @ Y1))))))) @ 574.97/75.01 Y0) => ('#sk1' @ 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))) & 574.97/75.01 (Y2 @ Y1)))))))) @ 574.97/75.01 Y0)))))))), 574.97/75.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl5])). 574.97/75.01 thf(zip_derived_cl12, plain, 574.97/75.01 ((~ (((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ 574.97/75.01 Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('split', [status(esa)], [zip_derived_cl8])). 574.97/75.01 thf(zip_derived_cl15, plain, 574.97/75.01 ((~ (((((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk8')))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((Y1 @ Y0) & 574.97/75.01 (((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))))))))) @ 574.97/75.01 '#sk8')))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl12])). 574.97/75.01 thf(zip_derived_cl19, plain, 574.97/75.01 (( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk8'))))))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])). 574.97/75.01 thf(zip_derived_cl25, plain, 574.97/75.01 (( (((((!!) @ (^[Y0 : $i]: ((('#sk16' @ Y0) => ('#sk1' @ '#sk16' @ Y0)))))) & 574.97/75.01 ('#sk16' @ '#sk8')))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl19])). 574.97/75.01 thf(zip_derived_cl28, plain, 574.97/75.01 (( (((!!) @ (^[Y0 : $i]: ((('#sk16' @ Y0) => ('#sk1' @ '#sk16' @ Y0))))))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl25])). 574.97/75.01 thf(zip_derived_cl31, plain, 574.97/75.01 ((![X2 : $i]: ((('#sk16' @ X2) => ('#sk1' @ '#sk16' @ X2)))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl28])). 574.97/75.01 thf(zip_derived_cl34, plain, 574.97/75.01 ((![X2 : $i]: (~ ('#sk16' @ X2) | ('#sk1' @ '#sk16' @ X2))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl31])). 574.97/75.01 thf(zip_derived_cl4, plain, 574.97/75.01 ( (((!!) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ 574.97/75.01 Y3)))))) & 574.97/75.01 (Y2 @ Y1))))))))))) => 574.97/75.01 (((!!) @ (^[Y1 : $i]: 574.97/75.01 ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ 574.97/75.01 (^[Y2 : $i]: 574.97/75.01 (((??) @ (^[Y3 : $i > $o]: 574.97/75.01 (((Y3 @ Y2) & 574.97/75.01 (((!!) @ (^[Y4 : $i]: 574.97/75.01 (((Y3 @ Y4) => 574.97/75.01 ('#sk1' @ 574.97/75.01 Y3 @ Y4)))))))))))) @ 574.97/75.01 Y1)))))))))))), 574.97/75.01 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl2])). 574.97/75.01 thf(zip_derived_cl7, plain, 574.97/75.01 (![X2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y0 : $i]: 574.97/75.01 (((X2 @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ 574.97/75.01 Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))))))) => 574.97/75.01 (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ X2 @ Y0) => ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])). 574.97/75.01 thf(zip_derived_cl24, plain, 574.97/75.01 ( (((((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk16' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ 574.97/75.01 Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))))))) => 574.97/75.01 (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ '#sk16' @ Y0) => ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('triggered_bool_instantiation', [status(thm)], 574.97/75.01 [zip_derived_cl7])). 574.97/75.01 thf(zip_derived_cl186, plain, 574.97/75.01 ((~ (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk16' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ 574.97/75.01 Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))))))) 574.97/75.01 | (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ '#sk16' @ Y0) => ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0)))))))), 574.97/75.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl24])). 574.97/75.01 thf(zip_derived_cl188, plain, 574.97/75.01 (( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ '#sk16' @ Y0) => ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))) 574.97/75.01 <= (( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ '#sk16' @ Y0) => ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('split', [status(esa)], [zip_derived_cl186])). 574.97/75.01 thf(zip_derived_cl190, plain, 574.97/75.01 ((![X2 : $i]: 574.97/75.01 ((('#sk1' @ '#sk16' @ X2) => ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((Y1 @ Y0) & 574.97/75.01 (((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))))))))) @ 574.97/75.01 X2)))) 574.97/75.01 <= (( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ '#sk16' @ Y0) => ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl188])). 574.97/75.01 thf(zip_derived_cl193, plain, 574.97/75.01 ((![X2 : $i]: 574.97/75.01 (~ ('#sk1' @ '#sk16' @ X2) 574.97/75.01 | ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((Y1 @ Y0) & 574.97/75.01 (((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))))))))) @ 574.97/75.01 X2))) 574.97/75.01 <= (( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ '#sk16' @ Y0) => ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl190])). 574.97/75.01 thf(zip_derived_cl20, plain, 574.97/75.01 ((~ ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((Y1 @ Y0) & 574.97/75.01 (((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))))))))) @ 574.97/75.01 '#sk8')) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])). 574.97/75.01 thf(zip_derived_cl1172, plain, 574.97/75.01 ((~ ('#sk1' @ '#sk16' @ '#sk8')) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))) & 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ '#sk16' @ Y0) => ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('sup-', [status(thm)], [zip_derived_cl193, zip_derived_cl20])). 574.97/75.01 thf(zip_derived_cl2160, plain, 574.97/75.01 ((~ ('#sk16' @ '#sk8')) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))) & 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ '#sk16' @ Y0) => ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl1172])). 574.97/75.01 thf(zip_derived_cl29, plain, 574.97/75.01 (( ('#sk16' @ '#sk8')) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl25])). 574.97/75.01 thf('0', plain, 574.97/75.01 (( (((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ 574.97/75.01 Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))) | 574.97/75.01 ~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ '#sk16' @ Y0) => ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0)))))))), 574.97/75.01 inference('demod', [status(thm)], [zip_derived_cl2160, zip_derived_cl29])). 574.97/75.01 thf(zip_derived_cl34, plain, 574.97/75.01 ((![X2 : $i]: (~ ('#sk16' @ X2) | ('#sk1' @ '#sk16' @ X2))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl31])). 574.97/75.01 thf(zip_derived_cl187, plain, 574.97/75.01 ((~ (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk16' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ 574.97/75.01 Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk16' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))))), 574.97/75.01 inference('split', [status(esa)], [zip_derived_cl186])). 574.97/75.01 thf(zip_derived_cl189, plain, 574.97/75.01 ((~ ((('#sk16' @ ('#sk7' @ '#sk16')) => 574.97/75.01 (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ ('#sk7' @ '#sk16')))))))))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk16' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))))), 574.97/75.01 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl187])). 574.97/75.01 thf(zip_derived_cl192, plain, 574.97/75.01 ((~ (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ ('#sk7' @ '#sk16')))))))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk16' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))))), 574.97/75.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl189])). 574.97/75.01 thf(zip_derived_cl194, plain, 574.97/75.01 ((![X2 : $i > $o]: 574.97/75.01 ~ (((((!!) @ (^[Y0 : $i]: (((X2 @ Y0) => ('#sk1' @ X2 @ Y0)))))) & 574.97/75.01 (X2 @ ('#sk7' @ '#sk16'))))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk16' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))))), 574.97/75.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl192])). 574.97/75.01 thf(zip_derived_cl199, plain, 574.97/75.01 ((~ (((((!!) @ (^[Y0 : $i]: ((('#sk16' @ Y0) => ('#sk1' @ '#sk16' @ Y0)))))) & 574.97/75.01 ('#sk16' @ ('#sk7' @ '#sk16'))))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk16' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))))), 574.97/75.01 inference('triggered_bool_instantiation', [status(thm)], 574.97/75.01 [zip_derived_cl194])). 574.97/75.01 thf(zip_derived_cl191, plain, 574.97/75.01 (( ('#sk16' @ ('#sk7' @ '#sk16'))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk16' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))))), 574.97/75.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl189])). 574.97/75.01 thf(zip_derived_cl332, plain, 574.97/75.01 ((~ (((((!!) @ (^[Y0 : $i]: ((('#sk16' @ Y0) => ('#sk1' @ '#sk16' @ Y0)))))) & 574.97/75.01 ($true)))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk16' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))))), 574.97/75.01 inference('demod', [status(thm)], [zip_derived_cl199, zip_derived_cl191])). 574.97/75.01 thf(zip_derived_cl333, plain, 574.97/75.01 ((~ (((!!) @ (^[Y0 : $i]: ((('#sk16' @ Y0) => ('#sk1' @ '#sk16' @ Y0))))))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk16' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))))), 574.97/75.01 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl332])). 574.97/75.01 thf(zip_derived_cl334, plain, 574.97/75.01 ((~ ((('#sk16' @ ('#sk29' @ '#sk16')) => ('#sk1' @ '#sk16' @ 574.97/75.01 ('#sk29' @ '#sk16'))))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk16' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))))), 574.97/75.01 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl333])). 574.97/75.01 thf(zip_derived_cl336, plain, 574.97/75.01 ((~ ('#sk1' @ '#sk16' @ ('#sk29' @ '#sk16'))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk16' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))))), 574.97/75.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl334])). 574.97/75.01 thf(zip_derived_cl342, plain, 574.97/75.01 ((~ ('#sk16' @ ('#sk29' @ '#sk16'))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk16' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))) & 574.97/75.01 ~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl336])). 574.97/75.01 thf(zip_derived_cl335, plain, 574.97/75.01 (( ('#sk16' @ ('#sk29' @ '#sk16'))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk16' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))))), 574.97/75.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl334])). 574.97/75.01 thf('1', plain, 574.97/75.01 (( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk16' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ 574.97/75.01 Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))) | 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ 574.97/75.01 Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0)))))))), 574.97/75.01 inference('demod', [status(thm)], [zip_derived_cl342, zip_derived_cl335])). 574.97/75.01 thf('2', plain, 574.97/75.01 (( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ '#sk16' @ Y0) => ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))) | 574.97/75.01 ~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk16' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ 574.97/75.01 Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))))))))), 574.97/75.01 inference('split', [status(esa)], [zip_derived_cl186])). 574.97/75.01 thf('3', plain, 574.97/75.01 (( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))) & 574.97/75.01 (Y2 @ Y1))))))) @ 574.97/75.01 Y0) => ('#sk1' @ 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))) & 574.97/75.01 (Y2 @ Y1)))))))) @ 574.97/75.01 Y0))))))) | 574.97/75.01 ~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ 574.97/75.01 Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0)))))))), 574.97/75.01 inference('split', [status(esa)], [zip_derived_cl8])). 574.97/75.01 thf(zip_derived_cl9, plain, 574.97/75.01 (((((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2')))))) 574.97/75.01 != ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2'))), 574.97/75.01 inference('simplify nested equalities', [status(thm)], [zip_derived_cl6])). 574.97/75.01 thf(zip_derived_cl42, plain, 574.97/75.01 ((~ (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2')))))) 574.97/75.01 | ~ ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2'))), 574.97/75.01 inference('eq_elim', [status(thm)], [zip_derived_cl9])). 574.97/75.01 thf('4', plain, 574.97/75.01 (~ 574.97/75.01 ( ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2')) | 574.97/75.01 ~ 574.97/75.01 ( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2')))))))), 574.97/75.01 inference('split', [status(esa)], [zip_derived_cl42])). 574.97/75.01 thf(zip_derived_cl34, plain, 574.97/75.01 ((![X2 : $i]: (~ ('#sk16' @ X2) | ('#sk1' @ '#sk16' @ X2))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl31])). 574.97/75.01 thf(zip_derived_cl9, plain, 574.97/75.01 (((((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2')))))) 574.97/75.01 != ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2'))), 574.97/75.01 inference('simplify nested equalities', [status(thm)], [zip_derived_cl6])). 574.97/75.01 thf(zip_derived_cl51, plain, 574.97/75.01 ((((((^[Y0 : $i]: ('#sk16' @ Y0))) 574.97/75.01 != ((^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ 574.97/75.01 (^[Y3 : $i]: (Y1 @ Y3)) @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))))) 574.97/75.01 | ~ ('#sk16' @ '#sk2') 574.97/75.01 | ~ (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2')))))))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('ext_sup', [status(thm)], [zip_derived_cl34, zip_derived_cl9])). 574.97/75.01 thf(zip_derived_cl54, plain, 574.97/75.01 ((((('#sk16') 574.97/75.01 != ((^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))))) 574.97/75.01 | ~ ('#sk16' @ '#sk2') 574.97/75.01 | ~ (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2')))))))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('ho_norm', [status(thm)], [zip_derived_cl51])). 574.97/75.01 thf(zip_derived_cl208, plain, 574.97/75.01 ((~ (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2'))))))) 574.97/75.01 <= (~ 574.97/75.01 ( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2'))))))))), 574.97/75.01 inference('split', [status(esa)], [zip_derived_cl54])). 574.97/75.01 thf(zip_derived_cl209, plain, 574.97/75.01 ((![X2 : $i > $o]: 574.97/75.01 ~ (((((!!) @ (^[Y0 : $i]: (((X2 @ Y0) => ('#sk1' @ X2 @ Y0)))))) & 574.97/75.01 (X2 @ '#sk2')))) 574.97/75.01 <= (~ 574.97/75.01 ( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2'))))))))), 574.97/75.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl208])). 574.97/75.01 thf(zip_derived_cl210, plain, 574.97/75.01 ((~ (((((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))) & 574.97/75.01 (Y2 @ Y1))))))) @ 574.97/75.01 Y0) => ('#sk1' @ 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))) & 574.97/75.01 (Y2 @ Y1)))))))) @ 574.97/75.01 Y0)))))) & 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2')))) 574.97/75.01 <= (~ 574.97/75.01 ( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2'))))))))), 574.97/75.01 inference('triggered_bool_instantiation', [status(thm)], 574.97/75.01 [zip_derived_cl209])). 574.97/75.01 thf(zip_derived_cl1417, plain, 574.97/75.01 (((~ (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))) & 574.97/75.01 (Y2 @ Y1))))))) @ 574.97/75.01 Y0) => ('#sk1' @ 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))) & 574.97/75.01 (Y2 @ Y1)))))))) @ 574.97/75.01 Y0)))))) 574.97/75.01 | ~ ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2'))) 574.97/75.01 <= (~ 574.97/75.01 ( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2'))))))))), 574.97/75.01 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl210])). 574.97/75.01 thf('5', plain, 574.97/75.01 (( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2'))))))) | 574.97/75.01 ~ 574.97/75.01 ( ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2')) | 574.97/75.01 ~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))) & 574.97/75.01 (Y2 @ Y1))))))) @ 574.97/75.01 Y0) => ('#sk1' @ 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))) & 574.97/75.01 (Y2 @ Y1)))))))) @ 574.97/75.01 Y0)))))))), 574.97/75.01 inference('split', [status(esa)], [zip_derived_cl1417])). 574.97/75.01 thf('6', plain, 574.97/75.01 (( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2'))))))) | 574.97/75.01 ( ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2'))), 574.97/75.01 inference('split', [status(esa)], [zip_derived_cl41])). 574.97/75.01 thf('7', plain, 574.97/75.01 (( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2')))))))), 574.97/75.01 inference('sat_resolution*', [status(thm)], 574.97/75.01 ['0', '1', '2', '3', '4', '5', '6'])). 574.97/75.01 thf(zip_derived_cl2173, plain, 574.97/75.01 (![X2 : $i]: (~ ('#sk90' @ X2) | ('#sk1' @ '#sk90' @ X2))), 574.97/75.01 inference('simpl_trail', [status(thm)], [zip_derived_cl67, '7'])). 574.97/75.01 thf(zip_derived_cl7, plain, 574.97/75.01 (![X2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y0 : $i]: 574.97/75.01 (((X2 @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ 574.97/75.01 Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))))))) => 574.97/75.01 (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ X2 @ Y0) => ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])). 574.97/75.01 thf(zip_derived_cl62, plain, 574.97/75.01 ( (((((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk90' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ 574.97/75.01 Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))))))) => 574.97/75.01 (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ '#sk90' @ Y0) => ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('triggered_bool_instantiation', [status(thm)], 574.97/75.01 [zip_derived_cl7])). 574.97/75.01 thf(zip_derived_cl929, plain, 574.97/75.01 ((~ (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk90' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ 574.97/75.01 Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))))))) 574.97/75.01 | (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ '#sk90' @ Y0) => ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0)))))))), 574.97/75.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl62])). 574.97/75.01 thf(zip_derived_cl931, plain, 574.97/75.01 (( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ '#sk90' @ Y0) => ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))) 574.97/75.01 <= (( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ '#sk90' @ Y0) => ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('split', [status(esa)], [zip_derived_cl929])). 574.97/75.01 thf(zip_derived_cl933, plain, 574.97/75.01 ((![X2 : $i]: 574.97/75.01 ((('#sk1' @ '#sk90' @ X2) => ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((Y1 @ Y0) & 574.97/75.01 (((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))))))))) @ 574.97/75.01 X2)))) 574.97/75.01 <= (( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ '#sk90' @ Y0) => ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl931])). 574.97/75.01 thf(zip_derived_cl936, plain, 574.97/75.01 ((![X2 : $i]: 574.97/75.01 (~ ('#sk1' @ '#sk90' @ X2) 574.97/75.01 | ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((Y1 @ Y0) & 574.97/75.01 (((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))))))))) @ 574.97/75.01 X2))) 574.97/75.01 <= (( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ '#sk90' @ Y0) => ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))))), 574.97/75.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl933])). 574.97/75.01 thf(zip_derived_cl207, plain, 574.97/75.01 (((('#sk16') 574.97/75.01 != ((^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))) 574.97/75.01 <= (~ 574.97/75.01 ((('#sk16') 574.97/75.01 = ((^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ 574.97/75.01 Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))), 574.97/75.01 inference('split', [status(esa)], [zip_derived_cl54])). 574.97/75.01 thf(zip_derived_cl219, plain, 574.97/75.01 (((('#sk16' @ '#sk187') 574.97/75.01 != (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ 574.97/75.01 (^[Y2 : $i]: (Y0 @ Y2)) @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk187')))))))) 574.97/75.01 <= (~ 574.97/75.01 ((('#sk16') 574.97/75.01 = ((^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ 574.97/75.01 Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))), 574.97/75.01 inference('neg_ext', [status(thm)], [zip_derived_cl207])). 574.97/75.01 thf(zip_derived_cl220, plain, 574.97/75.01 (((('#sk16' @ '#sk187') 574.97/75.01 != (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk187')))))))) 574.97/75.01 <= (~ 574.97/75.01 ((('#sk16') 574.97/75.01 = ((^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ 574.97/75.01 Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))), 574.97/75.01 inference('ho_norm', [status(thm)], [zip_derived_cl219])). 574.97/75.01 thf(zip_derived_cl340, plain, 574.97/75.01 (((~ ('#sk16' @ '#sk187') 574.97/75.01 | ~ (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk187')))))))) 574.97/75.01 <= (~ 574.97/75.01 ((('#sk16') 574.97/75.01 = ((^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ 574.97/75.01 Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))), 574.97/75.01 inference('eq_elim', [status(thm)], [zip_derived_cl220])). 574.97/75.01 thf(zip_derived_cl349, plain, 574.97/75.01 ((~ (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk187'))))))) 574.97/75.01 <= (~ 574.97/75.01 ( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk187'))))))))), 574.97/75.01 inference('split', [status(esa)], [zip_derived_cl340])). 574.97/75.01 thf(zip_derived_cl351, plain, 574.97/75.01 ((![X2 : $i > $o]: 574.97/75.01 ~ (((((!!) @ (^[Y0 : $i]: (((X2 @ Y0) => ('#sk1' @ X2 @ Y0)))))) & 574.97/75.01 (X2 @ '#sk187')))) 574.97/75.01 <= (~ 574.97/75.01 ( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk187'))))))))), 574.97/75.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl349])). 574.97/75.01 thf(zip_derived_cl353, plain, 574.97/75.01 ((~ (((((!!) @ (^[Y0 : $i]: ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0)))))) & 574.97/75.01 ('#sk90' @ '#sk187')))) 574.97/75.01 <= (~ 574.97/75.01 ( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk187'))))))))), 574.97/75.01 inference('triggered_bool_instantiation', [status(thm)], 574.97/75.01 [zip_derived_cl351])). 574.97/75.01 thf(zip_derived_cl395, plain, 574.97/75.01 (((~ (((!!) @ (^[Y0 : $i]: ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0)))))) 574.97/75.01 | ~ ('#sk90' @ '#sk187'))) 574.97/75.01 <= (~ 574.97/75.01 ( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk187'))))))))), 574.97/75.01 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl353])). 574.97/75.01 thf(zip_derived_cl397, plain, 574.97/75.01 ((~ (((!!) @ (^[Y0 : $i]: ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0))))))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0))))))))), 574.97/75.01 inference('split', [status(esa)], [zip_derived_cl395])). 574.97/75.01 thf(zip_derived_cl398, plain, 574.97/75.01 (( ('#form368') 574.97/75.01 | ~ (((!!) @ (^[Y0 : $i]: ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0)))))))), 574.97/75.01 define([status(thm)])). 574.97/75.01 thf(zip_derived_cl399, plain, 574.97/75.01 ((~ ((('#sk90' @ ('#sk29' @ '#sk90')) => ('#sk1' @ '#sk90' @ 574.97/75.01 ('#sk29' @ '#sk90')))) 574.97/75.01 | ('#form368'))), 574.97/75.01 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl398])). 574.97/75.01 thf(zip_derived_cl402, plain, 574.97/75.01 ((~ ((('#sk90' @ ('#sk29' @ '#sk90')) => ('#sk1' @ '#sk90' @ 574.97/75.01 ('#sk29' @ '#sk90'))))) 574.97/75.01 <= (~ 574.97/75.01 ( ((('#sk90' @ ('#sk29' @ '#sk90')) => ('#sk1' @ '#sk90' @ 574.97/75.01 ('#sk29' @ '#sk90'))))))), 574.97/75.01 inference('split', [status(esa)], [zip_derived_cl399])). 574.97/75.01 thf(zip_derived_cl403, plain, 574.97/75.01 (( ('#sk90' @ ('#sk29' @ '#sk90'))) 574.97/75.01 <= (~ 574.97/75.01 ( ((('#sk90' @ ('#sk29' @ '#sk90')) => ('#sk1' @ '#sk90' @ 574.97/75.01 ('#sk29' @ '#sk90'))))))), 574.97/75.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl402])). 574.97/75.01 thf(zip_derived_cl404, plain, 574.97/75.01 ((~ ('#sk1' @ '#sk90' @ ('#sk29' @ '#sk90'))) 574.97/75.01 <= (~ 574.97/75.01 ( ((('#sk90' @ ('#sk29' @ '#sk90')) => ('#sk1' @ '#sk90' @ 574.97/75.01 ('#sk29' @ '#sk90'))))))), 574.97/75.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl402])). 574.97/75.01 thf(zip_derived_cl67, plain, 574.97/75.01 ((![X2 : $i]: (~ ('#sk90' @ X2) | ('#sk1' @ '#sk90' @ X2))) 574.97/75.01 <= (( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2'))))))))), 574.97/75.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl66])). 574.97/75.01 thf(zip_derived_cl638, plain, 574.97/75.01 ((~ ('#sk90' @ ('#sk29' @ '#sk90'))) 574.97/75.01 <= (~ 574.97/75.01 ( ((('#sk90' @ ('#sk29' @ '#sk90')) => ('#sk1' @ '#sk90' @ 574.97/75.01 ('#sk29' @ '#sk90'))))) & 574.97/75.01 ( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2'))))))))), 574.97/75.01 inference('sup+', [status(thm)], [zip_derived_cl404, zip_derived_cl67])). 574.97/75.01 thf('8', plain, 574.97/75.01 (( ((('#sk90' @ ('#sk29' @ '#sk90')) => ('#sk1' @ '#sk90' @ 574.97/75.01 ('#sk29' @ '#sk90'))))) | 574.97/75.01 ~ 574.97/75.01 ( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2')))))))), 574.97/75.01 inference('sup-', [status(thm)], [zip_derived_cl403, zip_derived_cl638])). 574.97/75.01 thf('9', plain, 574.97/75.01 (( ('#form368')) | 574.97/75.01 ~ 574.97/75.01 ( ((('#sk90' @ ('#sk29' @ '#sk90')) => ('#sk1' @ '#sk90' @ 574.97/75.01 ('#sk29' @ '#sk90')))))), 574.97/75.01 inference('split', [status(esa)], [zip_derived_cl399])). 574.97/75.01 thf(zip_derived_cl930, plain, 574.97/75.01 ((~ (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk90' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ 574.97/75.01 Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk90' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))))), 574.97/75.01 inference('split', [status(esa)], [zip_derived_cl929])). 574.97/75.01 thf(zip_derived_cl932, plain, 574.97/75.01 ((~ ((('#sk90' @ ('#sk7' @ '#sk90')) => 574.97/75.01 (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ ('#sk7' @ '#sk90')))))))))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk90' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))))), 574.97/75.01 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl930])). 574.97/75.01 thf(zip_derived_cl935, plain, 574.97/75.01 ((~ (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ ('#sk7' @ '#sk90')))))))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk90' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))))), 574.97/75.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl932])). 574.97/75.01 thf(zip_derived_cl937, plain, 574.97/75.01 ((![X2 : $i > $o]: 574.97/75.01 ~ (((((!!) @ (^[Y0 : $i]: (((X2 @ Y0) => ('#sk1' @ X2 @ Y0)))))) & 574.97/75.01 (X2 @ ('#sk7' @ '#sk90'))))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk90' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))))), 574.97/75.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl935])). 574.97/75.01 thf(zip_derived_cl939, plain, 574.97/75.01 ((~ (((((!!) @ (^[Y0 : $i]: ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0)))))) & 574.97/75.01 ('#sk90' @ ('#sk7' @ '#sk90'))))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk90' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))))), 574.97/75.01 inference('triggered_bool_instantiation', [status(thm)], 574.97/75.01 [zip_derived_cl937])). 574.97/75.01 thf(zip_derived_cl934, plain, 574.97/75.01 (( ('#sk90' @ ('#sk7' @ '#sk90'))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk90' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))))), 574.97/75.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl932])). 574.97/75.01 thf(zip_derived_cl955, plain, 574.97/75.01 ((~ (((((!!) @ (^[Y0 : $i]: ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0)))))) & 574.97/75.01 ($true)))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk90' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))))), 574.97/75.01 inference('demod', [status(thm)], [zip_derived_cl939, zip_derived_cl934])). 574.97/75.01 thf(zip_derived_cl956, plain, 574.97/75.01 ((~ (((!!) @ (^[Y0 : $i]: ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0))))))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk90' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))))), 574.97/75.01 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl955])). 574.97/75.01 thf(zip_derived_cl398, plain, 574.97/75.01 (( ('#form368') 574.97/75.01 | ~ (((!!) @ (^[Y0 : $i]: ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0)))))))), 574.97/75.01 define([status(thm)])). 574.97/75.01 thf(zip_derived_cl957, plain, 574.97/75.01 ((~ ('#form368')) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk90' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => 574.97/75.01 ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))))), 574.97/75.01 inference('renaming', [status(thm)], 574.97/75.01 [zip_derived_cl956, zip_derived_cl398])). 574.97/75.01 thf(zip_derived_cl401, plain, (( ('#form368')) <= (( ('#form368')))), 574.97/75.01 inference('split', [status(esa)], [zip_derived_cl399])). 574.97/75.01 thf('10', plain, 574.97/75.01 (( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk90' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ 574.97/75.01 Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))))))))) | 574.97/75.01 ~ ( ('#form368'))), 574.97/75.01 inference('sup+', [status(thm)], [zip_derived_cl957, zip_derived_cl401])). 574.97/75.01 thf('11', plain, 574.97/75.01 (( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ '#sk90' @ Y0) => ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0))))))) | 574.97/75.01 ~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk90' @ Y0) => 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ 574.97/75.01 Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))))))))), 574.97/75.01 inference('split', [status(esa)], [zip_derived_cl929])). 574.97/75.01 thf('12', plain, 574.97/75.01 (( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk1' @ '#sk90' @ Y0) => ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((Y2 @ Y1) & 574.97/75.01 (((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))))))))) @ 574.97/75.01 Y0)))))))), 574.97/75.01 inference('sat_resolution*', [status(thm)], 574.97/75.01 ['0', '1', '2', '3', '4', '5', '6', '8', '9', '10', '11'])). 574.97/75.01 thf(zip_derived_cl5128, plain, 574.97/75.01 (![X2 : $i]: 574.97/75.01 (~ ('#sk1' @ '#sk90' @ X2) 574.97/75.01 | ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((Y1 @ Y0) & 574.97/75.01 (((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))))))))) @ 574.97/75.01 X2))), 574.97/75.01 inference('simpl_trail', [status(thm)], [zip_derived_cl936, '12'])). 574.97/75.01 thf(zip_derived_cl599, plain, 574.97/75.01 ((~ ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2')) 574.97/75.01 <= (~ 574.97/75.01 ( ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2')))), 574.97/75.01 inference('split', [status(esa)], [zip_derived_cl42])). 574.97/75.01 thf('13', plain, 574.97/75.01 (~ 574.97/75.01 ( ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2'))), 574.97/75.01 inference('sat_resolution*', [status(thm)], 574.97/75.01 ['0', '1', '2', '3', '4', '5'])). 574.97/75.01 thf(zip_derived_cl2178, plain, 574.97/75.01 (~ ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2')), 574.97/75.01 inference('simpl_trail', [status(thm)], [zip_derived_cl599, '13'])). 574.97/75.01 thf(zip_derived_cl5148, plain, (~ ('#sk1' @ '#sk90' @ '#sk2')), 574.97/75.01 inference('sup-', [status(thm)], [zip_derived_cl5128, zip_derived_cl2178])). 574.97/75.01 thf(zip_derived_cl6502, plain, (~ ('#sk90' @ '#sk2')), 574.97/75.01 inference('sup-', [status(thm)], [zip_derived_cl2173, zip_derived_cl5148])). 574.97/75.01 thf(zip_derived_cl9, plain, 574.97/75.01 (((((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2')))))) 574.97/75.01 != ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2'))), 574.97/75.01 inference('simplify nested equalities', [status(thm)], [zip_derived_cl6])). 574.97/75.01 thf(zip_derived_cl2178, plain, 574.97/75.01 (~ ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2')), 574.97/75.01 inference('simpl_trail', [status(thm)], [zip_derived_cl599, '13'])). 574.97/75.01 thf(zip_derived_cl2242, plain, 574.97/75.01 ( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2'))))))), 574.97/75.01 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl2178])). 574.97/75.01 thf(zip_derived_cl2338, plain, 574.97/75.01 ((~ ('#form540') 574.97/75.01 | (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2')))))))), 574.97/75.01 define([status(thm)])). 574.97/75.01 thf(zip_derived_cl2339, plain, 574.97/75.01 (( (((((!!) @ (^[Y0 : $i]: ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0)))))) & 574.97/75.01 ('#sk90' @ '#sk2'))) 574.97/75.01 | ~ ('#form540'))), 574.97/75.01 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2338])). 574.97/75.01 thf(zip_derived_cl59, plain, 574.97/75.01 (( ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2')) 574.97/75.01 <= (( ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2')))), 574.97/75.01 inference('split', [status(esa)], [zip_derived_cl41])). 574.97/75.01 thf(zip_derived_cl9, plain, 574.97/75.01 (((((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2')))))) 574.97/75.01 != ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2'))), 574.97/75.01 inference('simplify nested equalities', [status(thm)], [zip_derived_cl6])). 574.97/75.01 thf(zip_derived_cl72, plain, 574.97/75.01 ((~ (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2'))))))) 574.97/75.01 <= (( ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2')))), 574.97/75.01 inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl9])). 574.97/75.01 thf(zip_derived_cl77, plain, 574.97/75.01 ((![X2 : $i > $o]: 574.97/75.01 ~ (((((!!) @ (^[Y0 : $i]: (((X2 @ Y0) => ('#sk1' @ X2 @ Y0)))))) & 574.97/75.01 (X2 @ '#sk2')))) 574.97/75.01 <= (( ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2')))), 574.97/75.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl72])). 574.97/75.01 thf(zip_derived_cl80, plain, 574.97/75.01 ((~ (((((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ 574.97/75.01 Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => 574.97/75.01 ('#sk1' @ Y2 @ Y3)))))) & 574.97/75.01 (Y2 @ Y1))))))) @ 574.97/75.01 Y0)))))) & 574.97/75.01 (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2'))))))))) 574.97/75.01 <= (( ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2')))), 574.97/75.01 inference('triggered_bool_instantiation', [status(thm)], 574.97/75.01 [zip_derived_cl77])). 574.97/75.01 thf(zip_derived_cl553, plain, 574.97/75.01 (((~ (((!!) @ (^[Y0 : $i]: 574.97/75.01 (((((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ 574.97/75.01 Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0)))))) => 574.97/75.01 ('#sk1' @ 574.97/75.01 (^[Y1 : $i]: 574.97/75.01 (((??) @ (^[Y2 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y3 : $i]: 574.97/75.01 (((Y2 @ Y3) => ('#sk1' @ 574.97/75.01 Y2 @ Y3)))))) & 574.97/75.01 (Y2 @ Y1))))))) @ 574.97/75.01 Y0)))))) 574.97/75.01 | ~ (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2')))))))) 574.97/75.01 <= (( ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2')))), 574.97/75.01 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl80])). 574.97/75.01 thf(zip_derived_cl555, plain, 574.97/75.01 ((~ (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2'))))))) 574.97/75.01 <= (~ 574.97/75.01 ( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2'))))))))), 574.97/75.01 inference('split', [status(esa)], [zip_derived_cl553])). 574.97/75.01 thf(zip_derived_cl557, plain, 574.97/75.01 (( ('#form540') 574.97/75.01 | ~ (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2')))))))), 574.97/75.01 define([status(thm)])). 574.97/75.01 thf(zip_derived_cl558, plain, 574.97/75.01 (![X2 : $i > $o]: 574.97/75.01 (~ (((((!!) @ (^[Y0 : $i]: (((X2 @ Y0) => ('#sk1' @ X2 @ Y0)))))) & 574.97/75.01 (X2 @ '#sk2'))) 574.97/75.01 | ('#form540'))), 574.97/75.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl557])). 574.97/75.01 thf(zip_derived_cl560, plain, 574.97/75.01 ((~ (((((!!) @ (^[Y0 : $i]: ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0)))))) & 574.97/75.01 ('#sk90' @ '#sk2'))) 574.97/75.01 | ('#form540'))), 574.97/75.01 inference('triggered_bool_instantiation', [status(thm)], 574.97/75.01 [zip_derived_cl558])). 574.97/75.01 thf(zip_derived_cl576, plain, (( ('#form540')) <= (( ('#form540')))), 574.97/75.01 inference('split', [status(esa)], [zip_derived_cl560])). 574.97/75.01 thf(zip_derived_cl77, plain, 574.97/75.01 ((![X2 : $i > $o]: 574.97/75.01 ~ (((((!!) @ (^[Y0 : $i]: (((X2 @ Y0) => ('#sk1' @ X2 @ Y0)))))) & 574.97/75.01 (X2 @ '#sk2')))) 574.97/75.01 <= (( ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2')))), 574.97/75.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl72])). 574.97/75.01 thf(zip_derived_cl78, plain, 574.97/75.01 ((~ (((((!!) @ (^[Y0 : $i]: ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0)))))) & 574.97/75.01 ('#sk90' @ '#sk2')))) 574.97/75.01 <= (( ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2')))), 574.97/75.01 inference('triggered_bool_instantiation', [status(thm)], 574.97/75.01 [zip_derived_cl77])). 574.97/75.01 thf(zip_derived_cl125, plain, 574.97/75.01 (((~ (((!!) @ (^[Y0 : $i]: ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0)))))) 574.97/75.01 | ~ ('#sk90' @ '#sk2'))) 574.97/75.01 <= (( ('#sk1' @ 574.97/75.01 (^[Y0 : $i]: 574.97/75.01 (((??) @ (^[Y1 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y2 : $i]: 574.97/75.01 (((Y1 @ Y2) => ('#sk1' @ Y1 @ Y2)))))) & 574.97/75.01 (Y1 @ Y0))))))) @ 574.97/75.01 '#sk2')))), 574.97/75.01 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl78])). 574.97/75.01 thf(zip_derived_cl126, plain, 574.97/75.01 ((~ ('#sk90' @ '#sk2')) <= (~ ( ('#sk90' @ '#sk2')))), 574.97/75.01 inference('split', [status(esa)], [zip_derived_cl125])). 574.97/75.01 thf(zip_derived_cl65, plain, 574.97/75.01 (( ('#sk90' @ '#sk2')) 574.97/75.01 <= (( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2'))))))))), 574.97/75.01 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl63])). 574.97/75.01 thf('14', plain, 574.97/75.01 (( ('#sk90' @ '#sk2')) | 574.97/75.01 ~ 574.97/75.01 ( (((??) @ (^[Y0 : $i > $o]: 574.97/75.01 (((((!!) @ (^[Y1 : $i]: 574.97/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 574.97/75.01 (Y0 @ '#sk2')))))))), 574.97/75.01 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl65])). 574.97/75.01 thf(zip_derived_cl127, plain, 574.97/75.01 ((~ (((!!) @ (^[Y0 : $i]: ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0))))))) 574.97/75.01 <= (~ 574.97/75.01 ( (((!!) @ (^[Y0 : $i]: 574.97/75.01 ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0))))))))), 574.97/75.01 inference('split', [status(esa)], [zip_derived_cl125])). 574.97/75.01 thf(zip_derived_cl128, plain, 574.97/75.01 ((~ ((('#sk90' @ ('#sk29' @ '#sk90')) => ('#sk1' @ '#sk90' @ 575.38/75.01 ('#sk29' @ '#sk90'))))) 575.38/75.01 <= (~ 575.38/75.01 ( (((!!) @ (^[Y0 : $i]: 575.38/75.01 ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0))))))))), 575.38/75.01 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl127])). 575.38/75.01 thf(zip_derived_cl130, plain, 575.38/75.01 ((~ ('#sk1' @ '#sk90' @ ('#sk29' @ '#sk90'))) 575.38/75.01 <= (~ 575.38/75.01 ( (((!!) @ (^[Y0 : $i]: 575.38/75.01 ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0))))))))), 575.38/75.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl128])). 575.38/75.01 thf(zip_derived_cl67, plain, 575.38/75.01 ((![X2 : $i]: (~ ('#sk90' @ X2) | ('#sk1' @ '#sk90' @ X2))) 575.38/75.01 <= (( (((??) @ (^[Y0 : $i > $o]: 575.38/75.01 (((((!!) @ (^[Y1 : $i]: 575.38/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 575.38/75.01 (Y0 @ '#sk2'))))))))), 575.38/75.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl66])). 575.38/75.01 thf(zip_derived_cl253, plain, 575.38/75.01 ((~ ('#sk90' @ ('#sk29' @ '#sk90'))) 575.38/75.01 <= (~ 575.38/75.01 ( (((!!) @ (^[Y0 : $i]: 575.38/75.01 ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0))))))) & 575.38/75.01 ( (((??) @ (^[Y0 : $i > $o]: 575.38/75.01 (((((!!) @ (^[Y1 : $i]: 575.38/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 575.38/75.01 (Y0 @ '#sk2'))))))))), 575.38/75.01 inference('sup+', [status(thm)], [zip_derived_cl130, zip_derived_cl67])). 575.38/75.01 thf(zip_derived_cl129, plain, 575.38/75.01 (( ('#sk90' @ ('#sk29' @ '#sk90'))) 575.38/75.01 <= (~ 575.38/75.01 ( (((!!) @ (^[Y0 : $i]: 575.38/75.01 ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0))))))))), 575.38/75.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl128])). 575.38/75.01 thf('15', plain, 575.38/75.01 (( (((!!) @ (^[Y0 : $i]: ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0))))))) | 575.38/75.01 ~ 575.38/75.01 ( (((??) @ (^[Y0 : $i > $o]: 575.38/75.01 (((((!!) @ (^[Y1 : $i]: 575.38/75.01 (((Y0 @ Y1) => ('#sk1' @ Y0 @ Y1)))))) & 575.38/75.01 (Y0 @ '#sk2')))))))), 575.38/75.01 inference('demod', [status(thm)], [zip_derived_cl253, zip_derived_cl129])). 575.38/75.01 thf(zip_derived_cl577, plain, 575.38/75.01 ((~ (((((!!) @ (^[Y0 : $i]: ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0)))))) & 575.38/75.01 ('#sk90' @ '#sk2')))) 575.38/75.01 <= (~ 575.38/75.01 ( (((((!!) @ (^[Y0 : $i]: 575.38/75.01 ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0)))))) & 575.38/75.01 ('#sk90' @ '#sk2')))))), 575.38/75.01 inference('split', [status(esa)], [zip_derived_cl560])). 575.38/75.01 thf(zip_derived_cl578, plain, 575.38/75.01 (((~ (((!!) @ (^[Y0 : $i]: ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0)))))) 575.38/75.01 | ~ ('#sk90' @ '#sk2'))) 575.38/75.01 <= (~ 575.38/75.01 ( (((((!!) @ (^[Y0 : $i]: 575.38/75.01 ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0)))))) & 575.38/75.01 ('#sk90' @ '#sk2')))))), 575.38/75.01 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl577])). 575.38/75.01 thf('16', plain, 575.38/75.01 (( (((((!!) @ (^[Y0 : $i]: ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0)))))) & 575.38/75.01 ('#sk90' @ '#sk2')))) | 575.38/75.01 ~ 575.38/75.01 ( (((!!) @ (^[Y0 : $i]: ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0))))))) | 575.38/75.01 ~ ( ('#sk90' @ '#sk2'))), 575.38/75.01 inference('split', [status(esa)], [zip_derived_cl578])). 575.38/75.01 thf('17', plain, 575.38/75.01 (( ('#form540')) | 575.38/75.01 ~ 575.38/75.01 ( (((((!!) @ (^[Y0 : $i]: ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0)))))) & 575.38/75.01 ('#sk90' @ '#sk2'))))), 575.38/75.01 inference('split', [status(esa)], [zip_derived_cl560])). 575.38/75.01 thf('18', plain, (( ('#form540'))), 575.38/75.01 inference('sat_resolution*', [status(thm)], 575.38/75.01 ['14', '0', '1', '2', '3', '4', '5', '6', '15', '16', '17'])). 575.38/75.01 thf(zip_derived_cl2177, plain, ( ('#form540')), 575.38/75.01 inference('simpl_trail', [status(thm)], [zip_derived_cl576, '18'])). 575.38/75.01 thf(zip_derived_cl2341, plain, 575.38/75.01 ( (((((!!) @ (^[Y0 : $i]: ((('#sk90' @ Y0) => ('#sk1' @ '#sk90' @ Y0)))))) & 575.38/75.01 ('#sk90' @ '#sk2')))), 575.38/75.01 inference('demod', [status(thm)], 575.38/75.01 [zip_derived_cl2339, zip_derived_cl2177])). 575.38/75.01 thf(zip_derived_cl2343, plain, ( ('#sk90' @ '#sk2')), 575.38/75.01 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl2341])). 575.38/75.01 thf(zip_derived_cl6503, plain, ($false), 575.38/75.01 inference('demod', [status(thm)], 575.38/75.01 [zip_derived_cl6502, zip_derived_cl2343])). 575.38/75.01 575.38/75.01 % SZS output end Refutation 575.38/75.01 575.38/75.01 575.38/75.01 % Terminating... 575.75/75.12 % Runner terminated. 575.75/75.14 % Zipperpin 1.5 exiting 575.75/75.15 EOF