%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP409-1 : TPTP v9.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.y8g0gtVP5u true
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:36:23 PM UTC 2025
% Result : Unsatisfiable 3.51s 1.11s
% Output : Refutation 3.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP409-1 : TPTP v9.2.0. Released v2.6.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.y8g0gtVP5u true
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 14:07:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.56/0.63 % Total configuration time : 435
% 0.56/0.63 % Estimated wc time : 1092
% 0.56/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 3.51/1.11 % Solved by fo/fo1_av.sh.
% 3.51/1.11 % done 52 iterations in 0.368s
% 3.51/1.11 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.51/1.11 % SZS output start Refutation
% 3.51/1.11 thf(b1_type, type, b1: $i).
% 3.51/1.11 thf(inverse_type, type, inverse: $i > $i).
% 3.51/1.11 thf(multiply_type, type, multiply: $i > $i > $i).
% 3.51/1.11 thf(a1_type, type, a1: $i).
% 3.51/1.11 thf(single_axiom, axiom,
% 3.51/1.11 (( multiply @
% 3.51/1.11 ( multiply @
% 3.51/1.11 ( inverse @ ( multiply @ A @ ( inverse @ ( multiply @ B @ C ) ) ) ) @
% 3.51/1.11 ( multiply @ A @ ( inverse @ C ) ) ) @
% 3.51/1.11 ( inverse @ ( multiply @ ( inverse @ C ) @ C ) ) ) =
% 3.51/1.11 ( B ))).
% 3.51/1.11 thf(zip_derived_cl0, plain,
% 3.51/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.51/1.11 ((multiply @
% 3.51/1.11 (multiply @
% 3.51/1.11 (inverse @ (multiply @ X1 @ (inverse @ (multiply @ X0 @ X2)))) @
% 3.51/1.11 (multiply @ X1 @ (inverse @ X2))) @
% 3.51/1.11 (inverse @ (multiply @ (inverse @ X2) @ X2))) = (X0))),
% 3.51/1.11 inference('cnf', [status(esa)], [single_axiom])).
% 3.51/1.11 thf(zip_derived_cl0, plain,
% 3.51/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.51/1.11 ((multiply @
% 3.51/1.11 (multiply @
% 3.51/1.11 (inverse @ (multiply @ X1 @ (inverse @ (multiply @ X0 @ X2)))) @
% 3.51/1.11 (multiply @ X1 @ (inverse @ X2))) @
% 3.51/1.11 (inverse @ (multiply @ (inverse @ X2) @ X2))) = (X0))),
% 3.51/1.11 inference('cnf', [status(esa)], [single_axiom])).
% 3.51/1.11 thf(zip_derived_cl0, plain,
% 3.51/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.51/1.11 ((multiply @
% 3.51/1.11 (multiply @
% 3.51/1.11 (inverse @ (multiply @ X1 @ (inverse @ (multiply @ X0 @ X2)))) @
% 3.51/1.11 (multiply @ X1 @ (inverse @ X2))) @
% 3.51/1.11 (inverse @ (multiply @ (inverse @ X2) @ X2))) = (X0))),
% 3.51/1.11 inference('cnf', [status(esa)], [single_axiom])).
% 3.51/1.11 thf(zip_derived_cl0, plain,
% 3.51/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.51/1.11 ((multiply @
% 3.51/1.11 (multiply @
% 3.51/1.11 (inverse @ (multiply @ X1 @ (inverse @ (multiply @ X0 @ X2)))) @
% 3.51/1.11 (multiply @ X1 @ (inverse @ X2))) @
% 3.51/1.11 (inverse @ (multiply @ (inverse @ X2) @ X2))) = (X0))),
% 3.51/1.11 inference('cnf', [status(esa)], [single_axiom])).
% 3.51/1.11 thf(zip_derived_cl4, plain,
% 3.51/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.51/1.11 ((multiply @
% 3.51/1.11 (multiply @
% 3.51/1.11 (inverse @
% 3.51/1.11 (multiply @
% 3.51/1.11 (multiply @
% 3.51/1.11 (inverse @ (multiply @ X3 @ (inverse @ (multiply @ X0 @ X2)))) @
% 3.51/1.11 (multiply @ X3 @ (inverse @ X2))) @
% 3.51/1.11 (inverse @ (multiply @ X1 @ (multiply @ (inverse @ X2) @ X2))))) @
% 3.51/1.11 X0) @
% 3.51/1.11 (inverse @
% 3.51/1.11 (multiply @ (inverse @ (multiply @ (inverse @ X2) @ X2)) @
% 3.51/1.11 (multiply @ (inverse @ X2) @ X2))))
% 3.51/1.11 = (X1))),
% 3.51/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 3.51/1.11 thf(zip_derived_cl0, plain,
% 3.51/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.51/1.11 ((multiply @
% 3.51/1.11 (multiply @
% 3.51/1.11 (inverse @ (multiply @ X1 @ (inverse @ (multiply @ X0 @ X2)))) @
% 3.51/1.11 (multiply @ X1 @ (inverse @ X2))) @
% 3.51/1.11 (inverse @ (multiply @ (inverse @ X2) @ X2))) = (X0))),
% 3.51/1.11 inference('cnf', [status(esa)], [single_axiom])).
% 3.51/1.11 thf(zip_derived_cl0, plain,
% 3.51/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.51/1.11 ((multiply @
% 3.51/1.11 (multiply @
% 3.51/1.11 (inverse @ (multiply @ X1 @ (inverse @ (multiply @ X0 @ X2)))) @
% 3.51/1.11 (multiply @ X1 @ (inverse @ X2))) @
% 3.51/1.11 (inverse @ (multiply @ (inverse @ X2) @ X2))) = (X0))),
% 3.51/1.11 inference('cnf', [status(esa)], [single_axiom])).
% 3.51/1.11 thf(zip_derived_cl2, plain,
% 3.51/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.51/1.11 ((multiply @
% 3.51/1.11 (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X0))) @
% 3.51/1.11 (multiply @ X3 @
% 3.51/1.11 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))))) @
% 3.51/1.11 (inverse @
% 3.51/1.11 (multiply @
% 3.51/1.11 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 3.51/1.11 (inverse @ (multiply @ (inverse @ X1) @ X1)))))
% 3.51/1.11 = (multiply @
% 3.51/1.11 (inverse @ (multiply @ X2 @ (inverse @ (multiply @ X0 @ X1)))) @
% 3.51/1.11 (multiply @ X2 @ (inverse @ X1))))),
% 3.51/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 3.51/1.11 thf(zip_derived_cl0, plain,
% 3.51/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.51/1.11 ((multiply @
% 3.51/1.11 (multiply @
% 3.51/1.11 (inverse @ (multiply @ X1 @ (inverse @ (multiply @ X0 @ X2)))) @
% 3.51/1.11 (multiply @ X1 @ (inverse @ X2))) @
% 3.51/1.11 (inverse @ (multiply @ (inverse @ X2) @ X2))) = (X0))),
% 3.51/1.11 inference('cnf', [status(esa)], [single_axiom])).
% 3.51/1.11 thf(zip_derived_cl20, plain,
% 3.51/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.51/1.11 ((multiply @
% 3.51/1.11 (inverse @
% 3.51/1.11 (multiply @ X1 @
% 3.51/1.11 (inverse @
% 3.51/1.11 (multiply @
% 3.51/1.11 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X0) @ X0))) @
% 3.51/1.11 X0)))) @
% 3.51/1.11 (multiply @ X1 @ (inverse @ X0))) = (X2))),
% 3.51/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 3.51/1.11 thf(zip_derived_cl2, plain,
% 3.51/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.51/1.11 ((multiply @
% 3.51/1.11 (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X0))) @
% 3.51/1.11 (multiply @ X3 @
% 3.51/1.11 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))))) @
% 3.51/1.11 (inverse @
% 3.51/1.11 (multiply @
% 3.51/1.11 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 3.51/1.11 (inverse @ (multiply @ (inverse @ X1) @ X1)))))
% 3.51/1.11 = (multiply @
% 3.51/1.11 (inverse @ (multiply @ X2 @ (inverse @ (multiply @ X0 @ X1)))) @
% 3.51/1.11 (multiply @ X2 @ (inverse @ X1))))),
% 3.51/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 3.51/1.11 thf(zip_derived_cl2, plain,
% 3.51/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.51/1.11 ((multiply @
% 3.51/1.11 (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X0))) @
% 3.51/1.11 (multiply @ X3 @
% 3.51/1.11 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))))) @
% 3.51/1.11 (inverse @
% 3.51/1.11 (multiply @
% 3.51/1.11 (inverse @ (inverse @ (multiply @ (inverse @ X1) @ X1))) @
% 3.51/1.11 (inverse @ (multiply @ (inverse @ X1) @ X1)))))
% 3.51/1.11 = (multiply @
% 3.51/1.11 (inverse @ (multiply @ X2 @ (inverse @ (multiply @ X0 @ X1)))) @
% 3.51/1.11 (multiply @ X2 @ (inverse @ X1))))),
% 3.51/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl0])).
% 3.51/1.11 thf(zip_derived_cl21, plain,
% 3.51/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.51/1.11 ((multiply @
% 3.51/1.11 (inverse @ (multiply @ X1 @ (inverse @ (multiply @ X2 @ X0)))) @
% 3.51/1.11 (multiply @ X1 @ (inverse @ X0)))
% 3.51/1.11 = (multiply @
% 3.51/1.11 (inverse @ (multiply @ X3 @ (inverse @ (multiply @ X2 @ X0)))) @
% 3.51/1.11 (multiply @ X3 @ (inverse @ X0))))),
% 3.51/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 3.51/1.11 thf(zip_derived_cl110, plain,
% 3.51/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.51/1.11 ((multiply @ (inverse @ (multiply @ X4 @ (inverse @ X0))) @
% 3.51/1.11 (multiply @ X4 @ (inverse @ (multiply @ X2 @ (inverse @ X1)))))
% 3.51/1.11 = (multiply @ (inverse @ (multiply @ X3 @ (inverse @ X0))) @
% 3.51/1.11 (multiply @ X3 @ (inverse @ (multiply @ X2 @ (inverse @ X1))))))),
% 3.51/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl21])).
% 3.51/1.11 thf(zip_derived_cl227, plain,
% 3.51/1.11 (![X0 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 3.51/1.11 ((multiply @ (inverse @ (multiply @ X6 @ (inverse @ X5))) @
% 3.51/1.11 (multiply @ X6 @ (inverse @ X0)))
% 3.51/1.11 = (multiply @ (inverse @ (multiply @ X4 @ (inverse @ X5))) @
% 3.51/1.11 (multiply @ X4 @ (inverse @ X0))))),
% 3.51/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl110])).
% 3.51/1.11 thf(zip_derived_cl297, plain,
% 3.51/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.51/1.11 ((multiply @
% 3.51/1.11 (inverse @
% 3.51/1.11 (multiply @
% 3.51/1.11 (multiply @
% 3.51/1.11 (inverse @ (multiply @ X4 @ (inverse @ (multiply @ X0 @ X1)))) @
% 3.51/1.11 (multiply @ X4 @ (inverse @ X1))) @
% 3.51/1.11 (inverse @ X3))) @
% 3.51/1.11 X0)
% 3.51/1.11 = (multiply @ (inverse @ (multiply @ X2 @ (inverse @ X3))) @
% 3.51/1.11 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))))),
% 3.51/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl227])).
% 3.51/1.11 thf(zip_derived_cl441, plain,
% 3.51/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.51/1.11 ((multiply @ (inverse @ X0) @ X0)
% 3.51/1.11 = (multiply @
% 3.51/1.11 (inverse @
% 3.51/1.11 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))) @
% 3.51/1.11 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))))),
% 3.51/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl297])).
% 3.51/1.11 thf(zip_derived_cl441, plain,
% 3.51/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.51/1.11 ((multiply @ (inverse @ X0) @ X0)
% 3.51/1.11 = (multiply @
% 3.51/1.11 (inverse @
% 3.51/1.11 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))) @
% 3.51/1.11 (multiply @ X2 @ (inverse @ (multiply @ (inverse @ X1) @ X1)))))),
% 3.51/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl297])).
% 3.51/1.11 thf(zip_derived_cl529, plain,
% 3.51/1.11 (![X0 : $i, X1 : $i]:
% 3.51/1.11 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 3.51/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl441, zip_derived_cl441])).
% 3.51/1.11 thf(prove_these_axioms_1, conjecture,
% 3.51/1.11 (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 3.51/1.11 ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 3.51/1.11 thf(zf_stmt_0, negated_conjecture,
% 3.51/1.11 (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 3.51/1.11 ( multiply @ ( inverse @ b1 ) @ b1 )),
% 3.51/1.11 inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 3.51/1.11 thf(zip_derived_cl1, plain,
% 3.51/1.11 (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 3.51/1.11 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.51/1.11 thf(zip_derived_cl719, plain,
% 3.51/1.11 (![X0 : $i]:
% 3.51/1.11 ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ X0) @ X0))),
% 3.51/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl529, zip_derived_cl1])).
% 3.51/1.11 thf(zip_derived_cl529, plain,
% 3.51/1.11 (![X0 : $i, X1 : $i]:
% 3.51/1.11 ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 3.51/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl441, zip_derived_cl441])).
% 3.51/1.11 thf(zip_derived_cl790, plain, ($false),
% 3.51/1.11 inference('simplify_reflect+', [status(thm)],
% 3.51/1.11 [zip_derived_cl719, zip_derived_cl529])).
% 3.51/1.11
% 3.51/1.11 % SZS output end Refutation
% 3.51/1.11
% 3.51/1.11
% 3.51/1.11 % Terminating...
% 3.85/1.15 % Runner terminated.
% 3.85/1.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------