0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vYmoDfJ07F true 0.09/0.35 % Computer : n002.cluster.edu 0.09/0.35 % Model : x86_64 x86_64 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.35 % Memory : 8046.5625MB 0.09/0.35 % OS : Linux 6.8.0-71-generic 0.09/0.35 % CPULimit : 1440 0.09/0.35 % WCLimit : 180 0.09/0.35 % DateTime : Mon Jul 27 10:44:28 UTC 2026 0.12/0.36 % CPUTime : 0.12/0.36 % Running portfolio for 1440 s 0.12/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.12/0.36 % Number of cores: 8 0.12/0.36 % Python version: Python 3.12.3 0.12/0.36 % Running in HO mode 0.44/0.65 % Total configuration time : 828 0.44/0.65 % Estimated wc time : 1656 0.44/0.65 % Estimated cpu time (8 cpus) : 207.0 0.45/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.45/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.45/0.78 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.45/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.45/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.45/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.45/0.79 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.48/0.85 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 64.26/9.22 % Solved by lams/40_c_ic.sh. 64.26/9.22 % done 358 iterations in 8.401s 64.26/9.22 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 64.26/9.22 % SZS output start Refutation 64.26/9.22 thf(sk__4_type, type, sk__4: $i > $i). 64.26/9.22 thf(cONE_type, type, cONE: ($i > $o) > $o). 64.26/9.22 thf(cZERO_type, type, cZERO: ($i > $o) > $o). 64.26/9.22 thf(sk__5_type, type, sk__5: $i). 64.26/9.22 thf(sk__3_type, type, sk__3: $i > $o). 64.26/9.22 thf(sk__6_type, type, sk__6: $i). 64.26/9.22 thf(sk__2_type, type, sk__2: ($i > $o) > $i > $i). 64.26/9.22 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > ($i > $o) > $o). 64.26/9.22 thf(cSUCC_type, type, cSUCC: (($i > $o) > $o) > ($i > $o) > $o). 64.26/9.22 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > ($i > $o) > $o). 64.26/9.22 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > ($i > $o) > $o). 64.26/9.22 thf(cONE_def, axiom,(( cONE ) = (cSUCC @ cZERO))). 64.26/9.22 thf(cSUCC_def, axiom,(( cSUCC ) = 64.26/9.22 (^[Xn:( ( $i > $o ) > $o ),Xp:( $i > $o )]: 64.26/9.22 ( ?[Xx:$i]: 64.26/9.22 ( ( Xn @ ( ^[Xt:$i]: ( ( ( Xt ) != ( Xx ) ) & ( Xp @ Xt ) ) ) ) & 64.26/9.22 ( Xp @ Xx ) ) )))). 64.26/9.22 thf('0', plain, 64.26/9.22 (( cSUCC ) = 64.26/9.22 ( ^[Xn:( ( $i > $o ) > $o ),Xp:( $i > $o )]: 64.26/9.22 ( ?[Xx:$i]: 64.26/9.22 ( ( Xn @ ( ^[Xt:$i]: ( ( ( Xt ) != ( Xx ) ) & ( Xp @ Xt ) ) ) ) & 64.26/9.22 ( Xp @ Xx ) ) ) )), 64.26/9.22 inference('simplify_rw_rule', [status(thm)], [cSUCC_def])). 64.26/9.22 thf('1', plain, 64.26/9.22 (( cSUCC ) = 64.26/9.22 ( ^[V_1:( ( $i > $o ) > $o ),V_2:( $i > $o )]: 64.26/9.22 ( ?[X4:$i]: 64.26/9.22 ( ( V_1 @ ( ^[V_3:$i]: ( ( ( V_3 ) != ( X4 ) ) & ( V_2 @ V_3 ) ) ) ) & 64.26/9.22 ( V_2 @ X4 ) ) ) )), 64.26/9.22 define([status(thm)])). 64.26/9.22 thf(cZERO_def, axiom,(( cZERO ) = 64.26/9.22 (^[Xp:( $i > $o )]: ( ~( ?[Xx:$i]: ( Xp @ Xx ) ) )))). 64.26/9.22 thf('2', plain, 64.26/9.22 (( cZERO ) = ( ^[Xp:( $i > $o )]: ( ~( ?[Xx:$i]: ( Xp @ Xx ) ) ) )), 64.26/9.22 inference('simplify_rw_rule', [status(thm)], [cZERO_def])). 64.26/9.22 thf('3', plain, 64.26/9.22 (( cZERO ) = ( ^[V_1:( $i > $o )]: ( ~( ?[X4:$i]: ( V_1 @ X4 ) ) ) )), 64.26/9.22 define([status(thm)])). 64.26/9.22 thf('4', plain, (( cONE ) = ( cSUCC @ cZERO )), 64.26/9.22 inference('simplify_rw_rule', [status(thm)], [cONE_def, '1', '3'])). 64.26/9.22 thf('5', plain, (( cONE ) = ( cSUCC @ cZERO )), define([status(thm)])). 64.26/9.22 thf(cX6101_EXT_pme, conjecture, 64.26/9.22 (( ![Xf:( $i > $i ),Xg:( $i > $i )]: 64.26/9.22 ( ( ![Xx:$i]: ( ( Xf @ Xx ) = ( Xg @ Xx ) ) ) => ( ( Xf ) = ( Xg ) ) ) ) => 64.26/9.22 ( ( cONE ) = 64.26/9.22 ( ^[P:( $i > $o )]: 64.26/9.22 ( ?[Xy:$i]: ( ( P ) = ( ^[Xx:$i,Xy:$i]: ( ( Xx ) = ( Xy ) ) @ Xy ) ) ) ) ))). 64.26/9.22 thf(zf_stmt_0, conjecture, 64.26/9.22 (( ![X4:( $i > $i ),X6:( $i > $i )]: 64.26/9.22 ( ( ![X8:$i]: ( ( X4 @ X8 ) = ( X6 @ X8 ) ) ) => ( ( X4 ) = ( X6 ) ) ) ) => 64.26/9.22 ( ![V_2:( $i > $o )]: 64.26/9.22 ( ( ?[X10:$i]: 64.26/9.22 ( ( V_2 @ X10 ) & 64.26/9.22 ( ~( ?[X12:$i]: ( ( V_2 @ X12 ) & ( ( X12 ) != ( X10 ) ) ) ) ) ) ) <=> 64.26/9.22 ( ?[X14:$i]: 64.26/9.22 ( ![V_3:$i]: ( ( V_2 @ V_3 ) <=> ( ( X14 ) = ( V_3 ) ) ) ) ) ) ))). 64.26/9.22 thf(zf_stmt_1, axiom, 64.26/9.22 (![X12:$i,X10:$i,V_2:( $i > $o )]: 64.26/9.22 ( ( zip_tseitin_0 @ X12 @ X10 @ V_2 ) <=> 64.26/9.22 ( ( ( X12 ) != ( X10 ) ) & ( V_2 @ X12 ) ) ))). 64.26/9.22 thf(zip_derived_cl0, plain, 64.26/9.22 (![X0 : $i, X1 : $i, X2 : $i > $o]: 64.26/9.22 (((X1) != (X0)) | ~ (zip_tseitin_0 @ X1 @ X0 @ X2))), 64.26/9.22 inference('cnf', [status(esa)], [zf_stmt_1])). 64.26/9.22 thf(zf_stmt_2, axiom, 64.26/9.22 (![X10:$i,V_2:( $i > $o )]: 64.26/9.22 ( ( zip_tseitin_1 @ X10 @ V_2 ) <=> 64.26/9.22 ( ( ~( ?[X12:$i]: ( zip_tseitin_0 @ X12 @ X10 @ V_2 ) ) ) & 64.26/9.22 ( V_2 @ X10 ) ) ))). 64.26/9.22 thf(zip_derived_cl4, plain, 64.26/9.22 (![X0 : $i > $o, X1 : $i]: ( (X0 @ X1) | ~ (zip_tseitin_1 @ X1 @ X0))), 64.26/9.22 inference('cnf', [status(esa)], [zf_stmt_2])). 64.26/9.22 thf(zf_stmt_3, axiom, 64.26/9.22 (![V_3:$i,X14:$i,V_2:( $i > $o )]: 64.26/9.22 ( ( zip_tseitin_2 @ V_3 @ X14 @ V_2 ) <=> 64.26/9.22 ( ( V_2 @ V_3 ) <=> ( ( X14 ) = ( V_3 ) ) ) ))). 64.26/9.22 thf(zip_derived_cl8, plain, 64.26/9.22 (![X0 : $i, X1 : $i, X2 : $i > $o]: 64.26/9.22 ( (zip_tseitin_2 @ X0 @ X1 @ X2) | ((X1) != (X0)) | ~ (X2 @ X0))), 64.26/9.22 inference('cnf', [status(esa)], [zf_stmt_3])). 64.26/9.22 thf(zf_stmt_4, type, zip_tseitin_2 : $i > $i > ( $i > $o ) > $o). 64.26/9.22 thf(zf_stmt_5, type, zip_tseitin_1 : $i > ( $i > $o ) > $o). 64.26/9.22 thf(zf_stmt_6, type, zip_tseitin_0 : $i > $i > ( $i > $o ) > $o). 64.26/9.22 thf(zf_stmt_7, conjecture, 64.26/9.22 (( ![X4:( $i > $i ),X6:( $i > $i )]: 64.26/9.22 ( ( ![X8:$i]: ( ( X4 @ X8 ) = ( X6 @ X8 ) ) ) => ( ( X4 ) = ( X6 ) ) ) ) => 64.26/9.22 ( ![V_2:( $i > $o )]: 64.26/9.22 ( ( ?[X10:$i]: ( zip_tseitin_1 @ X10 @ V_2 ) ) <=> 64.26/9.22 ( ?[X14:$i]: ( ![V_3:$i]: ( zip_tseitin_2 @ V_3 @ X14 @ V_2 ) ) ) ) ))). 64.26/9.22 thf(zf_stmt_8, negated_conjecture, 64.26/9.22 (~( ( ![X4:( $i > $i ),X6:( $i > $i )]: 64.26/9.22 ( ( ![X8:$i]: ( ( X4 @ X8 ) = ( X6 @ X8 ) ) ) => ( ( X4 ) = ( X6 ) ) ) ) => 64.26/9.22 ( ![V_2:( $i > $o )]: 64.26/9.22 ( ( ?[X10:$i]: ( zip_tseitin_1 @ X10 @ V_2 ) ) <=> 64.26/9.22 ( ?[X14:$i]: ( ![V_3:$i]: ( zip_tseitin_2 @ V_3 @ X14 @ V_2 ) ) ) ) ) )), 64.26/9.22 inference('cnf.neg', [status(esa)], [zf_stmt_7])). 64.26/9.22 thf(zip_derived_cl12, plain, 64.26/9.22 (![X4 : $i]: 64.26/9.22 ( (zip_tseitin_2 @ X4 @ sk__5 @ sk__3) 64.26/9.22 | (zip_tseitin_1 @ sk__6 @ sk__3))), 64.26/9.22 inference('cnf', [status(esa)], [zf_stmt_8])). 64.26/9.22 thf(zip_derived_cl11, plain, 64.26/9.22 (![X2 : $i, X3 : $i]: 64.26/9.22 (~ (zip_tseitin_2 @ (sk__4 @ X2) @ X2 @ sk__3) 64.26/9.22 | ~ (zip_tseitin_1 @ X3 @ sk__3))), 64.26/9.22 inference('cnf', [status(esa)], [zf_stmt_8])). 64.26/9.22 thf(zip_derived_cl424, plain, 64.26/9.22 (![X0 : $i]: 64.26/9.22 ( (zip_tseitin_1 @ sk__6 @ sk__3) | ~ (zip_tseitin_1 @ X0 @ sk__3))), 64.26/9.22 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl11])). 64.26/9.22 thf(zip_derived_cl12, plain, 64.26/9.22 (![X4 : $i]: 64.26/9.22 ( (zip_tseitin_2 @ X4 @ sk__5 @ sk__3) 64.26/9.22 | (zip_tseitin_1 @ sk__6 @ sk__3))), 64.26/9.22 inference('cnf', [status(esa)], [zf_stmt_8])). 64.26/9.22 thf(zip_derived_cl5, plain, 64.26/9.22 (![X0 : $i, X1 : $i > $o]: 64.26/9.22 ( (zip_tseitin_1 @ X0 @ X1) 64.26/9.22 | ~ (X1 @ X0) 64.26/9.22 | (zip_tseitin_0 @ (sk__2 @ X1 @ X0) @ X0 @ X1))), 64.26/9.22 inference('cnf', [status(esa)], [zf_stmt_2])). 64.26/9.22 thf(zip_derived_cl1, plain, 64.26/9.22 (![X0 : $i > $o, X1 : $i, X2 : $i]: 64.26/9.22 ( (X0 @ X1) | ~ (zip_tseitin_0 @ X1 @ X2 @ X0))), 64.26/9.22 inference('cnf', [status(esa)], [zf_stmt_1])). 64.26/9.22 thf(zip_derived_cl7, plain, 64.26/9.22 (![X0 : $i > $o, X1 : $i, X2 : $i]: 64.26/9.22 (~ (X0 @ X1) | ((X2) = (X1)) | ~ (zip_tseitin_2 @ X1 @ X2 @ X0))), 64.26/9.22 inference('cnf', [status(esa)], [zf_stmt_3])). 64.26/9.22 thf(zip_derived_cl6, plain, 64.26/9.22 (![X0 : $i, X1 : $i, X2 : $i > $o]: 64.26/9.22 (((X1) != (X0)) | (X2 @ X0) | ~ (zip_tseitin_2 @ X0 @ X1 @ X2))), 64.26/9.22 inference('cnf', [status(esa)], [zf_stmt_3])). 64.26/9.22 thf(zip_derived_cl213, plain, 64.26/9.22 (![X0 : $i, X2 : $i > $o]: 64.26/9.22 (~ (zip_tseitin_2 @ X0 @ X0 @ X2) | (X2 @ X0))), 64.26/9.22 inference('simplify', [status(thm)], [zip_derived_cl6])). 64.26/9.22 thf(zip_derived_cl12, plain, 64.26/9.22 (![X4 : $i]: 64.26/9.22 ( (zip_tseitin_2 @ X4 @ sk__5 @ sk__3) 64.26/9.22 | (zip_tseitin_1 @ sk__6 @ sk__3))), 64.26/9.22 inference('cnf', [status(esa)], [zf_stmt_8])). 64.26/9.22 thf(zip_derived_cl230, plain, 64.26/9.22 (( (sk__3 @ sk__5) | (zip_tseitin_1 @ sk__6 @ sk__3))), 64.26/9.22 inference('sup+', [status(thm)], [zip_derived_cl213, zip_derived_cl12])). 64.26/9.22 thf(zip_derived_cl9, plain, 64.26/9.22 (![X0 : $i, X1 : $i, X2 : $i > $o]: 64.26/9.22 ( (zip_tseitin_2 @ X0 @ X1 @ X2) | ((X1) = (X0)) | (X2 @ X0))), 64.26/9.22 inference('cnf', [status(esa)], [zf_stmt_3])). 64.26/9.22 thf(zip_derived_cl11, plain, 64.26/9.22 (![X2 : $i, X3 : $i]: 64.26/9.22 (~ (zip_tseitin_2 @ (sk__4 @ X2) @ X2 @ sk__3) 64.26/9.22 | ~ (zip_tseitin_1 @ X3 @ sk__3))), 64.26/9.22 inference('cnf', [status(esa)], [zf_stmt_8])). 64.26/9.22 thf(zip_derived_cl2, plain, 64.26/9.22 (![X0 : $i, X1 : $i, X2 : $i > $o]: 64.26/9.22 ( (zip_tseitin_0 @ X0 @ X1 @ X2) | ~ (X2 @ X0) | ((X0) = (X1)))), 64.26/9.22 inference('cnf', [status(esa)], [zf_stmt_1])). 64.26/9.22 thf(zip_derived_cl3, plain, 64.26/9.22 (![X0 : $i, X1 : $i, X2 : $i > $o]: 64.26/9.22 (~ (zip_tseitin_0 @ X0 @ X1 @ X2) | ~ (zip_tseitin_1 @ X1 @ X2))), 64.26/9.22 inference('cnf', [status(esa)], [zf_stmt_2])). 64.26/9.22 thf(zip_derived_cl4766, plain, ($false), 64.26/9.22 inference('eprover', [status(thm)], 64.26/9.22 [zip_derived_cl0, zip_derived_cl4, zip_derived_cl8, 64.26/9.22 zip_derived_cl424, zip_derived_cl12, zip_derived_cl5, 64.26/9.22 zip_derived_cl1, zip_derived_cl7, zip_derived_cl230, 64.26/9.22 zip_derived_cl9, zip_derived_cl11, zip_derived_cl2, 64.26/9.22 zip_derived_cl3])). 64.26/9.22 64.26/9.22 % SZS output end Refutation 64.26/9.22 64.26/9.22 64.26/9.22 % Terminating... 64.26/9.27 % Runner terminated. 64.26/9.29 % Zipperpin 1.5 exiting 64.26/9.30 EOF