0.05/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.120NpieQhw true 0.10/0.33 % Computer : n010.cluster.edu 0.10/0.33 % Model : x86_64 x86_64 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.33 % Memory : 8042.1875MB 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.33 % CPULimit : 1200 0.10/0.33 % WCLimit : 120 0.10/0.33 % DateTime : Tue Jul 13 13:59:51 EDT 2021 0.10/0.33 % CPUTime : 0.10/0.33 % Running portfolio for 120 s 0.10/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.10/0.33 % Number of cores: 8 0.10/0.33 % Python version: Python 3.6.8 0.10/0.33 % Running in HO mode 0.46/0.61 % Total configuration time : 828 0.46/0.61 % Estimated wc time : 983 0.46/0.61 % Estimated cpu time (8 cpus) : 122.875 0.48/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 47s 0.49/0.81 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 47s 0.49/0.82 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 47s 0.49/0.84 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 53s 0.49/0.84 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 18s 0.49/0.84 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 41s 0.49/0.85 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.49/0.86 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 35s 3.40/1.23 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 53s 129.81/18.80 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 33s 241.40/33.43 % Solved by lams/40_c.s.sh. 241.40/33.43 % running E: timeout 32 /export/starexec/sandbox/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox/tmp/tmp.120NpieQhw/e_input7df550 --cpu-limit=30 --auto-schedule -s -p 241.40/33.43 % done 1148 iterations in 32.591s 241.40/33.43 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 241.40/33.43 % SZS output start Refutation 241.40/33.43 thf(del_type, type, del: $tType). 241.40/33.43 thf(arr_type, type, arr: del > del > del). 241.40/33.43 thf(p_type, type, p: $i > $o). 241.40/33.43 thf(sk__6_type, type, sk__6: $i). 241.40/33.43 thf(c_2Equotient_2E_2D_2D_3E_type, type, c_2Equotient_2E_2D_2D_3E: del > 241.40/33.43 del > 241.40/33.43 del > del > $i). 241.40/33.43 thf(sk__3_type, type, sk__3: del). 241.40/33.43 thf(bool_type, type, bool: del). 241.40/33.43 thf(ap_type, type, ap: $i > $i > $i). 241.40/33.43 thf(sk__12_type, type, sk__12: $i). 241.40/33.43 thf(sk__8_type, type, sk__8: $i). 241.40/33.43 thf(sk__7_type, type, sk__7: $i). 241.40/33.43 thf(sk__11_type, type, sk__11: $i). 241.40/33.43 thf(mem_type, type, mem: $i > del > $o). 241.40/33.43 thf(sk__4_type, type, sk__4: del). 241.40/33.43 thf(c_2Ecombin_2EW_type, type, c_2Ecombin_2EW: del > del > $i). 241.40/33.43 thf(sk__1_type, type, sk__1: del). 241.40/33.43 thf(c_2Equotient_2E_3D_3D_3D_3E_type, type, c_2Equotient_2E_3D_3D_3D_3E: 241.40/33.43 del > del > $i). 241.40/33.43 thf(sk__5_type, type, sk__5: $i). 241.40/33.43 thf(sk__10_type, type, sk__10: $i). 241.40/33.43 thf(sk__2_type, type, sk__2: del). 241.40/33.43 thf(c_2Equotient_2EQUOTIENT_type, type, c_2Equotient_2EQUOTIENT: del > del > $i). 241.40/33.43 thf(c_2Equotient_2Erespects_type, type, c_2Equotient_2Erespects: del > del > $i). 241.40/33.43 thf(sk__9_type, type, sk__9: $i). 241.40/33.43 thf(conj_thm_2Equotient_2EFUN__REL__EQ__REL, conjecture, 241.40/33.43 (![A_27a:del,A_27b:del,A_27c:del,A_27d:del,V0R1:$i]: 241.40/33.43 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) => 241.40/33.43 ( ![V1abs1:$i]: 241.40/33.43 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) ) => 241.40/33.43 ( ![V2rep1:$i]: 241.40/33.43 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) ) => 241.40/33.43 ( ( p @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c ) @ V0R1 ) @ 241.40/33.43 V1abs1 ) @ 241.40/33.43 V2rep1 ) ) => 241.40/33.43 ( ![V3R2:$i]: 241.40/33.43 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) ) => 241.40/33.43 ( ![V4abs2:$i]: 241.40/33.43 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27d ) ) => 241.40/33.43 ( ![V5rep2:$i]: 241.40/33.43 ( ( mem @ V5rep2 @ ( arr @ A_27d @ A_27b ) ) => 241.40/33.43 ( ( p @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( c_2Equotient_2EQUOTIENT @ 241.40/33.43 A_27b @ A_27d ) @ 241.40/33.43 V3R2 ) @ 241.40/33.43 V4abs2 ) @ 241.40/33.43 V5rep2 ) ) => 241.40/33.43 ( ![V6f:$i]: 241.40/33.43 ( ( mem @ V6f @ ( arr @ A_27a @ A_27b ) ) => 241.40/33.43 ( ![V7g:$i]: 241.40/33.43 ( ( mem @ V7g @ ( arr @ A_27a @ A_27b ) ) => 241.40/33.43 ( ( p @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( c_2Equotient_2E_3D_3D_3D_3E 241.40/33.43 @ A_27a @ A_27b ) @ 241.40/33.43 V0R1 ) @ 241.40/33.43 V3R2 ) @ 241.40/33.43 V6f ) @ 241.40/33.43 V7g ) ) <=> 241.40/33.43 ( ( p @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( c_2Equotient_2Erespects @ 241.40/33.43 ( arr @ A_27a @ A_27b ) @ 241.40/33.43 bool ) @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( c_2Equotient_2E_3D_3D_3D_3E 241.40/33.43 @ A_27a @ A_27b ) @ 241.40/33.43 V0R1 ) @ 241.40/33.43 V3R2 ) ) @ 241.40/33.43 V6f ) ) & 241.40/33.43 ( p @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( c_2Equotient_2Erespects @ 241.40/33.43 ( arr @ A_27a @ A_27b ) @ 241.40/33.43 bool ) @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( c_2Equotient_2E_3D_3D_3D_3E 241.40/33.43 @ A_27a @ A_27b ) @ 241.40/33.43 V0R1 ) @ 241.40/33.43 V3R2 ) ) @ 241.40/33.43 V7g ) ) & 241.40/33.43 ( ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( c_2Equotient_2E_2D_2D_3E @ 241.40/33.43 A_27c @ A_27b @ A_27a @ 241.40/33.43 A_27d ) @ 241.40/33.43 V2rep1 ) @ 241.40/33.43 V4abs2 ) @ 241.40/33.43 V6f ) = 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( c_2Equotient_2E_2D_2D_3E @ 241.40/33.43 A_27c @ A_27b @ A_27a @ 241.40/33.43 A_27d ) @ 241.40/33.43 V2rep1 ) @ 241.40/33.43 V4abs2 ) @ 241.40/33.43 V7g ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 241.40/33.43 thf(zf_stmt_0, negated_conjecture, 241.40/33.43 (~( ![A_27a:del,A_27b:del,A_27c:del,A_27d:del,V0R1:$i]: 241.40/33.43 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) => 241.40/33.43 ( ![V1abs1:$i]: 241.40/33.43 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) ) => 241.40/33.43 ( ![V2rep1:$i]: 241.40/33.43 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) ) => 241.40/33.43 ( ( p @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c ) @ V0R1 ) @ 241.40/33.43 V1abs1 ) @ 241.40/33.43 V2rep1 ) ) => 241.40/33.43 ( ![V3R2:$i]: 241.40/33.43 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) ) => 241.40/33.43 ( ![V4abs2:$i]: 241.40/33.43 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27d ) ) => 241.40/33.43 ( ![V5rep2:$i]: 241.40/33.43 ( ( mem @ V5rep2 @ ( arr @ A_27d @ A_27b ) ) => 241.40/33.43 ( ( p @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( c_2Equotient_2EQUOTIENT @ 241.40/33.43 A_27b @ A_27d ) @ 241.40/33.43 V3R2 ) @ 241.40/33.43 V4abs2 ) @ 241.40/33.43 V5rep2 ) ) => 241.40/33.43 ( ![V6f:$i]: 241.40/33.43 ( ( mem @ V6f @ ( arr @ A_27a @ A_27b ) ) => 241.40/33.43 ( ![V7g:$i]: 241.40/33.43 ( ( mem @ V7g @ ( arr @ A_27a @ A_27b ) ) => 241.40/33.43 ( ( p @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( c_2Equotient_2E_3D_3D_3D_3E 241.40/33.43 @ A_27a @ A_27b ) @ 241.40/33.43 V0R1 ) @ 241.40/33.43 V3R2 ) @ 241.40/33.43 V6f ) @ 241.40/33.43 V7g ) ) <=> 241.40/33.43 ( ( p @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( c_2Equotient_2Erespects @ 241.40/33.43 ( arr @ A_27a @ A_27b ) @ 241.40/33.43 bool ) @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( c_2Equotient_2E_3D_3D_3D_3E 241.40/33.43 @ A_27a @ A_27b ) @ 241.40/33.43 V0R1 ) @ 241.40/33.43 V3R2 ) ) @ 241.40/33.43 V6f ) ) & 241.40/33.43 ( p @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( c_2Equotient_2Erespects @ 241.40/33.43 ( arr @ A_27a @ A_27b ) @ 241.40/33.43 bool ) @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( c_2Equotient_2E_3D_3D_3D_3E 241.40/33.43 @ A_27a @ A_27b ) @ 241.40/33.43 V0R1 ) @ 241.40/33.43 V3R2 ) ) @ 241.40/33.43 V7g ) ) & 241.40/33.43 ( ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( c_2Equotient_2E_2D_2D_3E 241.40/33.43 @ 241.40/33.43 A_27c @ A_27b @ 241.40/33.43 A_27a @ A_27d ) @ 241.40/33.43 V2rep1 ) @ 241.40/33.43 V4abs2 ) @ 241.40/33.43 V6f ) = 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( c_2Equotient_2E_2D_2D_3E 241.40/33.43 @ 241.40/33.43 A_27c @ A_27b @ 241.40/33.43 A_27a @ A_27d ) @ 241.40/33.43 V2rep1 ) @ 241.40/33.43 V4abs2 ) @ 241.40/33.43 V7g ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 241.40/33.43 inference('cnf.neg', [status(esa)], 241.40/33.43 [conj_thm_2Equotient_2EFUN__REL__EQ__REL])). 241.40/33.43 thf(zip_derived_cl37, plain, 241.40/33.43 ((((ap @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ (c_2Equotient_2E_2D_2D_3E @ sk__3 @ sk__2 @ sk__1 @ sk__4) @ 241.40/33.43 sk__7) @ 241.40/33.43 sk__9) @ 241.40/33.43 sk__11) 241.40/33.43 = (ap @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ 241.40/33.43 (c_2Equotient_2E_2D_2D_3E @ sk__3 @ sk__2 @ sk__1 @ sk__4) @ 241.40/33.43 sk__7) @ 241.40/33.43 sk__9) @ 241.40/33.43 sk__12)) 241.40/33.43 | (p @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ (c_2Equotient_2E_3D_3D_3D_3E @ sk__1 @ sk__2) @ sk__5) @ 241.40/33.43 sk__8) @ 241.40/33.43 sk__11) @ 241.40/33.43 sk__12)))), 241.40/33.43 inference('cnf', [status(esa)], [zf_stmt_0])). 241.40/33.43 thf(conj_thm_2Equotient_2EQUOTIENT__REL, axiom, 241.40/33.43 (![A_27a:del,A_27b:del,V0R:$i]: 241.40/33.43 ( ( mem @ V0R @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) => 241.40/33.43 ( ![V1abs:$i]: 241.40/33.43 ( ( mem @ V1abs @ ( arr @ A_27a @ A_27b ) ) => 241.40/33.43 ( ![V2rep:$i]: 241.40/33.43 ( ( mem @ V2rep @ ( arr @ A_27b @ A_27a ) ) => 241.40/33.43 ( ( p @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27b ) @ V0R ) @ 241.40/33.43 V1abs ) @ 241.40/33.43 V2rep ) ) => 241.40/33.43 ( ![V3r:$i]: 241.40/33.43 ( ( mem @ V3r @ A_27a ) => 241.40/33.43 ( ![V4s:$i]: 241.40/33.43 ( ( mem @ V4s @ A_27a ) => 241.40/33.43 ( ( ( p @ ( ap @ ( ap @ V0R @ V3r ) @ V3r ) ) & 241.40/33.43 ( ( ap @ V1abs @ V3r ) = ( ap @ V1abs @ V4s ) ) & 241.40/33.43 ( p @ ( ap @ ( ap @ V0R @ V4s ) @ V4s ) ) ) <=> 241.40/33.43 ( p @ ( ap @ ( ap @ V0R @ V3r ) @ V4s ) ) ) ) ) ) ) ) ) ) ) ) ))). 241.40/33.43 thf(zip_derived_cl26, plain, 241.40/33.43 (![X0 : $i, X1 : del, X2 : del, X3 : $i, X4 : $i, X5 : $i, X6 : $i]: 241.40/33.43 (~ (mem @ X0 @ (arr @ X1 @ X2)) 241.40/33.43 | ~ (mem @ X3 @ X1) 241.40/33.43 | ~ (p @ (ap @ (ap @ X4 @ X5) @ X3)) 241.40/33.43 | ((ap @ X0 @ X5) = (ap @ X0 @ X3)) 241.40/33.43 | ~ (mem @ X5 @ X1) 241.40/33.43 | ~ (p @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ (ap @ (c_2Equotient_2EQUOTIENT @ X1 @ X2) @ X4) @ X0) @ 241.40/33.43 X6)) 241.40/33.43 | ~ (mem @ X6 @ (arr @ X2 @ X1)) 241.40/33.43 | ~ (mem @ X4 @ (arr @ X1 @ (arr @ X1 @ bool))))), 241.40/33.43 inference('cnf', [status(esa)], [conj_thm_2Equotient_2EQUOTIENT__REL])). 241.40/33.43 thf(zip_derived_cl34, plain, 241.40/33.43 ((((ap @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ (c_2Equotient_2E_2D_2D_3E @ sk__3 @ sk__2 @ sk__1 @ sk__4) @ 241.40/33.43 sk__7) @ 241.40/33.43 sk__9) @ 241.40/33.43 sk__11) 241.40/33.43 != (ap @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ 241.40/33.43 (c_2Equotient_2E_2D_2D_3E @ sk__3 @ sk__2 @ sk__1 @ sk__4) @ 241.40/33.43 sk__7) @ 241.40/33.43 sk__9) @ 241.40/33.43 sk__12)) 241.40/33.43 | ~ (p @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ (c_2Equotient_2Erespects @ (arr @ sk__1 @ sk__2) @ bool) @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ (c_2Equotient_2E_3D_3D_3D_3E @ sk__1 @ sk__2) @ sk__5) @ 241.40/33.43 sk__8)) @ 241.40/33.43 sk__12)) 241.40/33.43 | ~ (p @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ (c_2Equotient_2Erespects @ (arr @ sk__1 @ sk__2) @ bool) @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ (c_2Equotient_2E_3D_3D_3D_3E @ sk__1 @ sk__2) @ sk__5) @ 241.40/33.43 sk__8)) @ 241.40/33.43 sk__11)) 241.40/33.43 | ~ (p @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ (c_2Equotient_2E_3D_3D_3D_3E @ sk__1 @ sk__2) @ sk__5) @ 241.40/33.43 sk__8) @ 241.40/33.43 sk__11) @ 241.40/33.43 sk__12)))), 241.40/33.43 inference('cnf', [status(esa)], [zf_stmt_0])). 241.40/33.43 thf(zip_derived_cl25, plain, 241.40/33.43 (![X0 : $i, X1 : del, X2 : del, X3 : $i, X4 : $i, X5 : $i, X6 : $i]: 241.40/33.43 (~ (mem @ X0 @ (arr @ X1 @ X2)) 241.40/33.43 | ~ (mem @ X3 @ X1) 241.40/33.43 | ~ (p @ (ap @ (ap @ X4 @ X5) @ X3)) 241.40/33.43 | (p @ (ap @ (ap @ X4 @ X3) @ X3)) 241.40/33.43 | ~ (mem @ X5 @ X1) 241.40/33.43 | ~ (p @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ (ap @ (c_2Equotient_2EQUOTIENT @ X1 @ X2) @ X4) @ X0) @ 241.40/33.43 X6)) 241.40/33.43 | ~ (mem @ X6 @ (arr @ X2 @ X1)) 241.40/33.43 | ~ (mem @ X4 @ (arr @ X1 @ (arr @ X1 @ bool))))), 241.40/33.43 inference('cnf', [status(esa)], [conj_thm_2Equotient_2EQUOTIENT__REL])). 241.40/33.43 thf(zip_derived_cl36, plain, 241.40/33.43 (( (p @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ (c_2Equotient_2Erespects @ (arr @ sk__1 @ sk__2) @ bool) @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ (c_2Equotient_2E_3D_3D_3D_3E @ sk__1 @ sk__2) @ sk__5) @ 241.40/33.43 sk__8)) @ 241.40/33.43 sk__12)) 241.40/33.43 | (p @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ (c_2Equotient_2E_3D_3D_3D_3E @ sk__1 @ sk__2) @ sk__5) @ 241.40/33.43 sk__8) @ 241.40/33.43 sk__11) @ 241.40/33.43 sk__12)))), 241.40/33.43 inference('cnf', [status(esa)], [zf_stmt_0])). 241.40/33.43 thf(zip_derived_cl43, plain, ( (mem @ sk__6 @ (arr @ sk__1 @ sk__3))), 241.40/33.43 inference('cnf', [status(esa)], [zf_stmt_0])). 241.40/33.43 thf(zip_derived_cl31, plain, ( (mem @ sk__7 @ (arr @ sk__3 @ sk__1))), 241.40/33.43 inference('cnf', [status(esa)], [zf_stmt_0])). 241.40/33.43 thf(zip_derived_cl42, plain, 241.40/33.43 ( (p @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ (ap @ (c_2Equotient_2EQUOTIENT @ sk__1 @ sk__3) @ sk__5) @ 241.40/33.43 sk__6) @ 241.40/33.43 sk__7))), 241.40/33.43 inference('cnf', [status(esa)], [zf_stmt_0])). 241.40/33.43 thf(zip_derived_cl40, plain, ( (mem @ sk__10 @ (arr @ sk__4 @ sk__2))), 241.40/33.43 inference('cnf', [status(esa)], [zf_stmt_0])). 241.40/33.43 thf(zip_derived_cl32, plain, ( (mem @ sk__9 @ (arr @ sk__2 @ sk__4))), 241.40/33.43 inference('cnf', [status(esa)], [zf_stmt_0])). 241.40/33.43 thf(zip_derived_cl39, plain, 241.40/33.43 ( (p @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ (ap @ (c_2Equotient_2EQUOTIENT @ sk__2 @ sk__4) @ sk__8) @ 241.40/33.43 sk__9) @ 241.40/33.43 sk__10))), 241.40/33.43 inference('cnf', [status(esa)], [zf_stmt_0])). 241.40/33.43 thf(zip_derived_cl33, plain, ( (mem @ sk__12 @ (arr @ sk__1 @ sk__2))), 241.40/33.43 inference('cnf', [status(esa)], [zf_stmt_0])). 241.40/33.43 thf(zip_derived_cl28, plain, 241.40/33.43 (![X0 : $i, X1 : del, X2 : del, X3 : $i, X4 : $i, X5 : $i, X6 : $i]: 241.40/33.43 (~ (mem @ X0 @ (arr @ X1 @ X2)) 241.40/33.43 | ~ (mem @ X3 @ X1) 241.40/33.43 | ~ (p @ (ap @ (ap @ X4 @ X5) @ X5)) 241.40/33.43 | ((ap @ X0 @ X5) != (ap @ X0 @ X3)) 241.40/33.43 | ~ (p @ (ap @ (ap @ X4 @ X3) @ X3)) 241.40/33.43 | (p @ (ap @ (ap @ X4 @ X5) @ X3)) 241.40/33.43 | ~ (mem @ X5 @ X1) 241.40/33.43 | ~ (p @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ (ap @ (c_2Equotient_2EQUOTIENT @ X1 @ X2) @ X4) @ X0) @ 241.40/33.43 X6)) 241.40/33.43 | ~ (mem @ X6 @ (arr @ X2 @ X1)) 241.40/33.43 | ~ (mem @ X4 @ (arr @ X1 @ (arr @ X1 @ bool))))), 241.40/33.43 inference('cnf', [status(esa)], [conj_thm_2Equotient_2EQUOTIENT__REL])). 241.40/33.43 thf(zip_derived_cl38, plain, ( (mem @ sk__11 @ (arr @ sk__1 @ sk__2))), 241.40/33.43 inference('cnf', [status(esa)], [zf_stmt_0])). 241.40/33.43 thf(zip_derived_cl30, plain, 241.40/33.43 ( (mem @ sk__5 @ (arr @ sk__1 @ (arr @ sk__1 @ bool)))), 241.40/33.43 inference('cnf', [status(esa)], [zf_stmt_0])). 241.40/33.43 thf(zip_derived_cl41, plain, 241.40/33.43 ( (mem @ sk__8 @ (arr @ sk__2 @ (arr @ sk__2 @ bool)))), 241.40/33.43 inference('cnf', [status(esa)], [zf_stmt_0])). 241.40/33.43 thf(zip_derived_cl35, plain, 241.40/33.43 (( (p @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ (c_2Equotient_2Erespects @ (arr @ sk__1 @ sk__2) @ bool) @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ (c_2Equotient_2E_3D_3D_3D_3E @ sk__1 @ sk__2) @ sk__5) @ 241.40/33.43 sk__8)) @ 241.40/33.43 sk__11)) 241.40/33.43 | (p @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ (c_2Equotient_2E_3D_3D_3D_3E @ sk__1 @ sk__2) @ sk__5) @ 241.40/33.43 sk__8) @ 241.40/33.43 sk__11) @ 241.40/33.43 sk__12)))), 241.40/33.43 inference('cnf', [status(esa)], [zf_stmt_0])). 241.40/33.43 thf(conj_thm_2Equotient_2EFUN__QUOTIENT, axiom, 241.40/33.43 (![A_27a:del,A_27b:del,A_27c:del,A_27d:del,V0R1:$i]: 241.40/33.43 ( ( mem @ V0R1 @ ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) ) => 241.40/33.43 ( ![V1abs1:$i]: 241.40/33.43 ( ( mem @ V1abs1 @ ( arr @ A_27a @ A_27c ) ) => 241.40/33.43 ( ![V2rep1:$i]: 241.40/33.43 ( ( mem @ V2rep1 @ ( arr @ A_27c @ A_27a ) ) => 241.40/33.43 ( ( p @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( c_2Equotient_2EQUOTIENT @ A_27a @ A_27c ) @ V0R1 ) @ 241.40/33.43 V1abs1 ) @ 241.40/33.43 V2rep1 ) ) => 241.40/33.43 ( ![V3R2:$i]: 241.40/33.43 ( ( mem @ V3R2 @ ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) ) => 241.40/33.43 ( ![V4abs2:$i]: 241.40/33.43 ( ( mem @ V4abs2 @ ( arr @ A_27b @ A_27d ) ) => 241.40/33.43 ( ![V5rep2:$i]: 241.40/33.43 ( ( mem @ V5rep2 @ ( arr @ A_27d @ A_27b ) ) => 241.40/33.43 ( ( p @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( c_2Equotient_2EQUOTIENT @ 241.40/33.43 A_27b @ A_27d ) @ 241.40/33.43 V3R2 ) @ 241.40/33.43 V4abs2 ) @ 241.40/33.43 V5rep2 ) ) => 241.40/33.43 ( p @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( c_2Equotient_2EQUOTIENT @ 241.40/33.43 ( arr @ A_27a @ A_27b ) @ 241.40/33.43 ( arr @ A_27c @ A_27d ) ) @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( c_2Equotient_2E_3D_3D_3D_3E @ 241.40/33.43 A_27a @ A_27b ) @ 241.40/33.43 V0R1 ) @ 241.40/33.43 V3R2 ) ) @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( c_2Equotient_2E_2D_2D_3E @ 241.40/33.43 A_27c @ A_27b @ A_27a @ A_27d ) @ 241.40/33.43 V2rep1 ) @ 241.40/33.43 V4abs2 ) ) @ 241.40/33.43 ( ap @ 241.40/33.43 ( ap @ 241.40/33.43 ( c_2Equotient_2E_2D_2D_3E @ 241.40/33.43 A_27a @ A_27d @ A_27c @ A_27b ) @ 241.40/33.43 V1abs1 ) @ 241.40/33.43 V5rep2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 241.40/33.43 thf(zip_derived_cl16, plain, 241.40/33.43 (![X0 : $i, X1 : del, X2 : del, X3 : $i, X4 : $i, X5 : $i, X6 : del, 241.40/33.43 X7 : $i, X8 : del, X9 : $i]: 241.40/33.43 (~ (mem @ X0 @ (arr @ X1 @ X2)) 241.40/33.43 | ~ (p @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ (ap @ (c_2Equotient_2EQUOTIENT @ X1 @ X2) @ X3) @ X0) @ 241.40/33.43 X4)) 241.40/33.43 | ~ (mem @ X5 @ (arr @ X6 @ (arr @ X6 @ bool))) 241.40/33.43 | ~ (mem @ X7 @ (arr @ X8 @ X6)) 241.40/33.43 | (p @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ 241.40/33.43 (c_2Equotient_2EQUOTIENT @ (arr @ X1 @ X6) @ (arr @ X2 @ X8)) @ 241.40/33.43 (ap @ (ap @ (c_2Equotient_2E_3D_3D_3D_3E @ X1 @ X6) @ X3) @ X5)) @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ (c_2Equotient_2E_2D_2D_3E @ X2 @ X6 @ X1 @ X8) @ X4) @ 241.40/33.43 X9)) @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ (c_2Equotient_2E_2D_2D_3E @ X1 @ X8 @ X2 @ X6) @ X0) @ X7))) 241.40/33.43 | ~ (p @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ (ap @ (c_2Equotient_2EQUOTIENT @ X6 @ X8) @ X5) @ X9) @ 241.40/33.43 X7)) 241.40/33.43 | ~ (mem @ X9 @ (arr @ X6 @ X8)) 241.40/33.43 | ~ (mem @ X4 @ (arr @ X2 @ X1)) 241.40/33.43 | ~ (mem @ X3 @ (arr @ X1 @ (arr @ X1 @ bool))))), 241.40/33.43 inference('cnf', [status(esa)], [conj_thm_2Equotient_2EFUN__QUOTIENT])). 241.40/33.43 thf(zip_derived_cl27, plain, 241.40/33.43 (![X0 : $i, X1 : del, X2 : del, X3 : $i, X4 : $i, X5 : $i, X6 : $i]: 241.40/33.43 (~ (mem @ X0 @ (arr @ X1 @ X2)) 241.40/33.43 | ~ (mem @ X3 @ X1) 241.40/33.43 | ~ (p @ (ap @ (ap @ X4 @ X5) @ X3)) 241.40/33.43 | (p @ (ap @ (ap @ X4 @ X5) @ X5)) 241.40/33.43 | ~ (mem @ X5 @ X1) 241.40/33.43 | ~ (p @ 241.40/33.43 (ap @ 241.40/33.43 (ap @ (ap @ (c_2Equotient_2EQUOTIENT @ X1 @ X2) @ X4) @ X0) @ 241.40/33.43 X6)) 241.40/33.43 | ~ (mem @ X6 @ (arr @ X2 @ X1)) 241.40/33.43 | ~ (mem @ X4 @ (arr @ X1 @ (arr @ X1 @ bool))))), 241.40/33.43 inference('cnf', [status(esa)], [conj_thm_2Equotient_2EQUOTIENT__REL])). 241.40/33.43 thf(ax_thm_2Equotient_2Erespects__def, axiom, 241.40/33.43 (![A_27a:del,A_27b:del]: 241.40/33.43 ( ( c_2Equotient_2Erespects @ A_27a @ A_27b ) = 241.40/33.43 ( c_2Ecombin_2EW @ A_27a @ A_27b ) ))). 241.40/33.43 thf(zip_derived_cl24, plain, 241.40/33.43 (![X0 : del, X1 : del]: 241.40/33.43 ((c_2Equotient_2Erespects @ X0 @ X1) = (c_2Ecombin_2EW @ X0 @ X1))), 241.40/33.43 inference('cnf', [status(esa)], [ax_thm_2Equotient_2Erespects__def])). 241.40/33.43 thf(mem_c_2Equotient_2E_2D_2D_3E, axiom, 241.40/33.43 (![A_27a:del,A_27b:del,A_27c:del,A_27d:del]: 241.40/33.43 ( mem @ 241.40/33.43 ( c_2Equotient_2E_2D_2D_3E @ A_27a @ A_27b @ A_27c @ A_27d ) @ 241.40/33.43 ( arr @ 241.40/33.43 ( arr @ A_27a @ A_27c ) @ 241.40/33.43 ( arr @ 241.40/33.43 ( arr @ A_27b @ A_27d ) @ 241.40/33.43 ( arr @ ( arr @ A_27c @ A_27b ) @ ( arr @ A_27a @ A_27d ) ) ) ) ))). 241.40/33.43 thf(zip_derived_cl29, plain, 241.40/33.43 (![X0 : del, X1 : del, X2 : del, X3 : del]: 241.40/33.43 (mem @ (c_2Equotient_2E_2D_2D_3E @ X0 @ X1 @ X2 @ X3) @ 241.40/33.43 (arr @ (arr @ X0 @ X2) @ 241.40/33.43 (arr @ (arr @ X1 @ X3) @ (arr @ (arr @ X2 @ X1) @ (arr @ X0 @ X3)))))), 241.40/33.43 inference('cnf', [status(esa)], [mem_c_2Equotient_2E_2D_2D_3E])). 241.40/33.43 thf(ap_tp, axiom, 241.40/33.43 (![A:del,B:del,F:$i]: 241.40/33.43 ( ( mem @ F @ ( arr @ A @ B ) ) => 241.40/33.43 ( ![X:$i]: ( ( mem @ X @ A ) => ( mem @ ( ap @ F @ X ) @ B ) ) ) ))). 241.40/33.43 thf(zip_derived_cl0, plain, 241.40/33.43 (![X0 : $i, X1 : del, X2 : $i, X3 : del]: 241.40/33.43 (~ (mem @ X0 @ X1) 241.40/33.43 | (mem @ (ap @ X2 @ X0) @ X3) 241.40/33.43 | ~ (mem @ X2 @ (arr @ X1 @ X3)))), 241.40/33.43 inference('cnf', [status(esa)], [ap_tp])). 241.40/33.43 thf(zip_derived_cl261, plain, 241.40/33.43 (![X0 : del, X1 : del, X2 : del, X3 : del, X4 : $i]: 241.40/33.43 ( (mem @ (ap @ (c_2Equotient_2E_2D_2D_3E @ X1 @ X2 @ X3 @ X0) @ X4) @ 241.40/33.43 (arr @ (arr @ X2 @ X0) @ (arr @ (arr @ X3 @ X2) @ (arr @ X1 @ X0)))) 241.40/33.43 | ~ (mem @ X4 @ (arr @ X1 @ X3)))), 241.40/33.43 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl0])). 241.40/33.43 thf(mem_c_2Equotient_2E_3D_3D_3D_3E, axiom, 241.40/33.43 (![A_27a:del,A_27b:del]: 241.40/33.43 ( mem @ 241.40/33.43 ( c_2Equotient_2E_3D_3D_3D_3E @ A_27a @ A_27b ) @ 241.40/33.43 ( arr @ 241.40/33.43 ( arr @ A_27a @ ( arr @ A_27a @ bool ) ) @ 241.40/33.43 ( arr @ 241.40/33.43 ( arr @ A_27b @ ( arr @ A_27b @ bool ) ) @ 241.40/33.43 ( arr @ 241.40/33.43 ( arr @ A_27a @ A_27b ) @ ( arr @ ( arr @ A_27a @ A_27b ) @ bool ) ) ) ) ))). 241.40/33.43 thf(zip_derived_cl3, plain, 241.40/33.43 (![X0 : del, X1 : del]: 241.40/33.43 (mem @ (c_2Equotient_2E_3D_3D_3D_3E @ X0 @ X1) @ 241.40/33.43 (arr @ (arr @ X0 @ (arr @ X0 @ bool)) @ 241.40/33.43 (arr @ (arr @ X1 @ (arr @ X1 @ bool)) @ 241.40/33.43 (arr @ (arr @ X0 @ X1) @ (arr @ (arr @ X0 @ X1) @ bool)))))), 241.40/33.43 inference('cnf', [status(esa)], [mem_c_2Equotient_2E_3D_3D_3D_3E])). 241.40/33.43 thf(zip_derived_cl0, plain, 241.40/33.43 (![X0 : $i, X1 : del, X2 : $i, X3 : del]: 241.40/33.43 (~ (mem @ X0 @ X1) 241.40/33.43 | (mem @ (ap @ X2 @ X0) @ X3) 241.40/33.43 | ~ (mem @ X2 @ (arr @ X1 @ X3)))), 241.40/33.43 inference('cnf', [status(esa)], [ap_tp])). 241.40/33.43 thf(zip_derived_cl149, plain, 241.40/33.43 (![X0 : del, X1 : del, X2 : $i]: 241.40/33.43 ( (mem @ (ap @ (c_2Equotient_2E_3D_3D_3D_3E @ X1 @ X0) @ X2) @ 241.40/33.43 (arr @ (arr @ X0 @ (arr @ X0 @ bool)) @ 241.40/33.43 (arr @ (arr @ X1 @ X0) @ (arr @ (arr @ X1 @ X0) @ bool)))) 241.40/33.43 | ~ (mem @ X2 @ (arr @ X1 @ (arr @ X1 @ bool))))), 241.40/33.43 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])). 241.40/33.43 thf(zip_derived_cl0, plain, 241.40/33.43 (![X0 : $i, X1 : del, X2 : $i, X3 : del]: 241.40/33.43 (~ (mem @ X0 @ X1) 241.40/33.43 | (mem @ (ap @ X2 @ X0) @ X3) 241.40/33.43 | ~ (mem @ X2 @ (arr @ X1 @ X3)))), 241.40/33.43 inference('cnf', [status(esa)], [ap_tp])). 241.40/33.43 thf(conj_thm_2Ecombin_2EW__THM, axiom, 241.40/33.43 (![A_27a:del,A_27b:del,V0f:$i]: 241.40/33.43 ( ( mem @ V0f @ ( arr @ A_27a @ ( arr @ A_27a @ A_27b ) ) ) => 241.40/33.43 ( ![V1x:$i]: 241.40/33.43 ( ( mem @ V1x @ A_27a ) => 241.40/33.43 ( ( ap @ ( ap @ ( c_2Ecombin_2EW @ A_27a @ A_27b ) @ V0f ) @ V1x ) = 241.40/33.43 ( ap @ ( ap @ V0f @ V1x ) @ V1x ) ) ) ) ))). 241.40/33.43 thf(zip_derived_cl14, plain, 241.40/33.43 (![X0 : $i, X1 : del, X2 : $i, X3 : del]: 241.40/33.43 (~ (mem @ X0 @ X1) 241.40/33.43 | ((ap @ (ap @ (c_2Ecombin_2EW @ X1 @ X3) @ X2) @ X0) 241.40/33.43 = (ap @ (ap @ X2 @ X0) @ X0)) 241.40/33.43 | ~ (mem @ X2 @ (arr @ X1 @ (arr @ X1 @ X3))))), 241.40/33.43 inference('cnf', [status(esa)], [conj_thm_2Ecombin_2EW__THM])). 241.40/33.43 thf(zip_derived_cl11533, plain, ($false), 241.40/33.43 inference('eprover', [status(thm)], 241.40/33.43 [zip_derived_cl37, zip_derived_cl26, zip_derived_cl34, 241.40/33.43 zip_derived_cl25, zip_derived_cl36, zip_derived_cl43, 241.40/33.43 zip_derived_cl31, zip_derived_cl42, zip_derived_cl40, 241.40/33.43 zip_derived_cl32, zip_derived_cl39, zip_derived_cl33, 241.40/33.43 zip_derived_cl28, zip_derived_cl38, zip_derived_cl30, 241.40/33.43 zip_derived_cl41, zip_derived_cl35, zip_derived_cl16, 241.40/33.43 zip_derived_cl27, zip_derived_cl24, zip_derived_cl261, 241.40/33.43 zip_derived_cl149, zip_derived_cl0, zip_derived_cl14])). 241.40/33.43 241.40/33.43 % SZS output end Refutation 241.40/33.43 241.40/33.43 241.40/33.43 % Terminating... 241.40/33.51 % Runner terminated. 241.40/33.52 % Zipperpin 1.5 exiting 241.40/33.53 EOF