TSTP Solution File: GRP730-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP730-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.y7gD8Anj3q true
% Computer : n016.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 Aug 31 01:53:07 EDT 2023
% Result : Unsatisfiable 44.17s 7.00s
% Output : Refutation 44.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP730-1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.y7gD8Anj3q true
% 0.13/0.34 % Computer : n016.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 : Mon Aug 28 23:07:30 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.53/0.66 % Total configuration time : 435
% 0.53/0.66 % Estimated wc time : 1092
% 0.53/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 44.17/7.00 % Solved by fo/fo6_bce.sh.
% 44.17/7.00 % BCE start: 23
% 44.17/7.00 % BCE eliminated: 0
% 44.17/7.00 % PE start: 23
% 44.17/7.00 logic: eq
% 44.17/7.00 % PE eliminated: 0
% 44.17/7.00 % done 720 iterations in 6.283s
% 44.17/7.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 44.17/7.00 % SZS output start Refutation
% 44.17/7.00 thf(b_type, type, b: $i).
% 44.17/7.00 thf(op_k_type, type, op_k: $i > $i > $i).
% 44.17/7.00 thf(a_type, type, a: $i).
% 44.17/7.00 thf(asoc_type, type, asoc: $i > $i > $i > $i).
% 44.17/7.00 thf(rd_type, type, rd: $i > $i > $i).
% 44.17/7.00 thf(unit_type, type, unit: $i).
% 44.17/7.00 thf(mult_type, type, mult: $i > $i > $i).
% 44.17/7.00 thf(d_type, type, d: $i).
% 44.17/7.00 thf(c_type, type, c: $i).
% 44.17/7.00 thf(i_type, type, i: $i > $i).
% 44.17/7.00 thf(goals, conjecture, (( asoc @ ( op_k @ a @ b ) @ c @ d ) = ( unit ))).
% 44.17/7.00 thf(zf_stmt_0, negated_conjecture,
% 44.17/7.00 (( asoc @ ( op_k @ a @ b ) @ c @ d ) != ( unit )),
% 44.17/7.00 inference('cnf.neg', [status(esa)], [goals])).
% 44.17/7.00 thf(zip_derived_cl22, plain, (((asoc @ (op_k @ a @ b) @ c @ d) != (unit))),
% 44.17/7.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 44.17/7.00 thf(c05, axiom,
% 44.17/7.00 (( i @ ( mult @ A @ B ) ) = ( mult @ ( i @ A ) @ ( i @ B ) ))).
% 44.17/7.00 thf(zip_derived_cl4, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i]:
% 44.17/7.00 ((i @ (mult @ X0 @ X1)) = (mult @ (i @ X0) @ (i @ X1)))),
% 44.17/7.00 inference('cnf', [status(esa)], [c05])).
% 44.17/7.00 thf(c11, axiom,
% 44.17/7.00 (( mult @ A @ B ) = ( mult @ ( mult @ B @ A ) @ ( op_k @ A @ B ) ))).
% 44.17/7.00 thf(zip_derived_cl10, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i]:
% 44.17/7.00 ((mult @ X1 @ X0) = (mult @ (mult @ X0 @ X1) @ (op_k @ X1 @ X0)))),
% 44.17/7.00 inference('cnf', [status(esa)], [c11])).
% 44.17/7.00 thf(zip_derived_cl143, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i]:
% 44.17/7.00 ((mult @ (i @ X0) @ (i @ X1))
% 44.17/7.00 = (mult @ (i @ (mult @ X1 @ X0)) @ (op_k @ (i @ X0) @ (i @ X1))))),
% 44.17/7.00 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl10])).
% 44.17/7.00 thf(zip_derived_cl4, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i]:
% 44.17/7.00 ((i @ (mult @ X0 @ X1)) = (mult @ (i @ X0) @ (i @ X1)))),
% 44.17/7.00 inference('cnf', [status(esa)], [c05])).
% 44.17/7.00 thf(zip_derived_cl149, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i]:
% 44.17/7.00 ((i @ (mult @ X0 @ X1))
% 44.17/7.00 = (mult @ (i @ (mult @ X1 @ X0)) @ (op_k @ (i @ X0) @ (i @ X1))))),
% 44.17/7.00 inference('demod', [status(thm)], [zip_derived_cl143, zip_derived_cl4])).
% 44.17/7.00 thf(zip_derived_cl4, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i]:
% 44.17/7.00 ((i @ (mult @ X0 @ X1)) = (mult @ (i @ X0) @ (i @ X1)))),
% 44.17/7.00 inference('cnf', [status(esa)], [c05])).
% 44.17/7.00 thf(c06, axiom, (( mult @ ( i @ A ) @ ( mult @ A @ B ) ) = ( B ))).
% 44.17/7.00 thf(zip_derived_cl5, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i]: ((mult @ (i @ X1) @ (mult @ X1 @ X0)) = (X0))),
% 44.17/7.00 inference('cnf', [status(esa)], [c06])).
% 44.17/7.00 thf(zip_derived_cl48, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i]:
% 44.17/7.00 ((mult @ (i @ (i @ X1)) @ (i @ (mult @ X1 @ X0))) = (i @ X0))),
% 44.17/7.00 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 44.17/7.00 thf(c04, axiom, (( mult @ ( i @ A ) @ A ) = ( unit ))).
% 44.17/7.00 thf(zip_derived_cl3, plain, (![X0 : $i]: ((mult @ (i @ X0) @ X0) = (unit))),
% 44.17/7.00 inference('cnf', [status(esa)], [c04])).
% 44.17/7.00 thf(c07, axiom, (( rd @ ( mult @ A @ B ) @ B ) = ( A ))).
% 44.17/7.00 thf(zip_derived_cl6, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 44.17/7.00 inference('cnf', [status(esa)], [c07])).
% 44.17/7.00 thf(zip_derived_cl38, plain, (![X0 : $i]: ((rd @ unit @ X0) = (i @ X0))),
% 44.17/7.00 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 44.17/7.00 thf(c03, axiom, (( mult @ A @ ( i @ A ) ) = ( unit ))).
% 44.17/7.00 thf(zip_derived_cl2, plain, (![X0 : $i]: ((mult @ X0 @ (i @ X0)) = (unit))),
% 44.17/7.00 inference('cnf', [status(esa)], [c03])).
% 44.17/7.00 thf(zip_derived_cl6, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 44.17/7.00 inference('cnf', [status(esa)], [c07])).
% 44.17/7.00 thf(zip_derived_cl36, plain, (![X0 : $i]: ((rd @ unit @ (i @ X0)) = (X0))),
% 44.17/7.00 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 44.17/7.00 thf(zip_derived_cl301, plain, (![X0 : $i]: ((i @ (i @ X0)) = (X0))),
% 44.17/7.00 inference('s_sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl36])).
% 44.17/7.00 thf(zip_derived_cl503, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (i @ (mult @ X1 @ X0))) = (i @ X0))),
% 44.17/7.00 inference('demod', [status(thm)], [zip_derived_cl48, zip_derived_cl301])).
% 44.17/7.00 thf(zip_derived_cl6317, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i]:
% 44.17/7.00 ((mult @ (i @ (mult @ X0 @ X1)) @ (i @ (i @ (mult @ X1 @ X0))))
% 44.17/7.00 = (i @ (op_k @ (i @ X1) @ (i @ X0))))),
% 44.17/7.00 inference('s_sup+', [status(thm)], [zip_derived_cl149, zip_derived_cl503])).
% 44.17/7.00 thf(zip_derived_cl301, plain, (![X0 : $i]: ((i @ (i @ X0)) = (X0))),
% 44.17/7.00 inference('s_sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl36])).
% 44.17/7.00 thf(zip_derived_cl10, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i]:
% 44.17/7.00 ((mult @ X1 @ X0) = (mult @ (mult @ X0 @ X1) @ (op_k @ X1 @ X0)))),
% 44.17/7.00 inference('cnf', [status(esa)], [c11])).
% 44.17/7.00 thf(zip_derived_cl5, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i]: ((mult @ (i @ X1) @ (mult @ X1 @ X0)) = (X0))),
% 44.17/7.00 inference('cnf', [status(esa)], [c06])).
% 44.17/7.00 thf(zip_derived_cl131, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i]:
% 44.17/7.00 ((mult @ (i @ (mult @ X0 @ X1)) @ (mult @ X1 @ X0)) = (op_k @ X1 @ X0))),
% 44.17/7.00 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl5])).
% 44.17/7.00 thf(zip_derived_cl6428, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i]:
% 44.17/7.00 ((op_k @ X1 @ X0) = (i @ (op_k @ (i @ X1) @ (i @ X0))))),
% 44.17/7.00 inference('demod', [status(thm)],
% 44.17/7.00 [zip_derived_cl6317, zip_derived_cl301, zip_derived_cl131])).
% 44.17/7.00 thf(zip_derived_cl301, plain, (![X0 : $i]: ((i @ (i @ X0)) = (X0))),
% 44.17/7.00 inference('s_sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl36])).
% 44.17/7.00 thf(zip_derived_cl6858, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i]:
% 44.17/7.00 ((i @ (op_k @ X1 @ X0)) = (op_k @ (i @ X1) @ (i @ X0)))),
% 44.17/7.00 inference('s_sup+', [status(thm)],
% 44.17/7.00 [zip_derived_cl6428, zip_derived_cl301])).
% 44.17/7.00 thf(zip_derived_cl10, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i]:
% 44.17/7.00 ((mult @ X1 @ X0) = (mult @ (mult @ X0 @ X1) @ (op_k @ X1 @ X0)))),
% 44.17/7.00 inference('cnf', [status(esa)], [c11])).
% 44.17/7.00 thf(zip_derived_cl503, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (i @ (mult @ X1 @ X0))) = (i @ X0))),
% 44.17/7.00 inference('demod', [status(thm)], [zip_derived_cl48, zip_derived_cl301])).
% 44.17/7.00 thf(zip_derived_cl526, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i]:
% 44.17/7.00 ((mult @ (mult @ X0 @ X1) @ (i @ (mult @ X1 @ X0)))
% 44.17/7.00 = (i @ (op_k @ X1 @ X0)))),
% 44.17/7.00 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl503])).
% 44.17/7.00 thf(c10, axiom,
% 44.17/7.00 (( mult @ ( mult @ A @ B ) @ C ) =
% 44.17/7.00 ( mult @ ( mult @ A @ ( mult @ B @ C ) ) @ ( asoc @ A @ B @ C ) ))).
% 44.17/7.00 thf(zip_derived_cl9, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 44.17/7.00 ((mult @ (mult @ X0 @ X1) @ X2)
% 44.17/7.00 = (mult @ (mult @ X0 @ (mult @ X1 @ X2)) @ (asoc @ X0 @ X1 @ X2)))),
% 44.17/7.00 inference('cnf', [status(esa)], [c10])).
% 44.17/7.00 thf(zip_derived_cl5, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i]: ((mult @ (i @ X1) @ (mult @ X1 @ X0)) = (X0))),
% 44.17/7.00 inference('cnf', [status(esa)], [c06])).
% 44.17/7.00 thf(zip_derived_cl93, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 44.17/7.00 ((mult @ (i @ (mult @ X2 @ (mult @ X1 @ X0))) @
% 44.17/7.00 (mult @ (mult @ X2 @ X1) @ X0)) = (asoc @ X2 @ X1 @ X0))),
% 44.17/7.00 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 44.17/7.00 thf(zip_derived_cl29775, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i]:
% 44.17/7.00 ((mult @ (i @ (mult @ X0 @ (mult @ X1 @ (i @ (mult @ X1 @ X0))))) @
% 44.17/7.00 (i @ (op_k @ X1 @ X0))) = (asoc @ X0 @ X1 @ (i @ (mult @ X1 @ X0))))),
% 44.17/7.00 inference('s_sup+', [status(thm)], [zip_derived_cl526, zip_derived_cl93])).
% 44.17/7.00 thf(zip_derived_cl503, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i]: ((mult @ X1 @ (i @ (mult @ X1 @ X0))) = (i @ X0))),
% 44.17/7.00 inference('demod', [status(thm)], [zip_derived_cl48, zip_derived_cl301])).
% 44.17/7.00 thf(zip_derived_cl2, plain, (![X0 : $i]: ((mult @ X0 @ (i @ X0)) = (unit))),
% 44.17/7.00 inference('cnf', [status(esa)], [c03])).
% 44.17/7.00 thf(zip_derived_cl2, plain, (![X0 : $i]: ((mult @ X0 @ (i @ X0)) = (unit))),
% 44.17/7.00 inference('cnf', [status(esa)], [c03])).
% 44.17/7.00 thf(c01, axiom, (( mult @ unit @ A ) = ( A ))).
% 44.17/7.00 thf(zip_derived_cl0, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 44.17/7.00 inference('cnf', [status(esa)], [c01])).
% 44.17/7.00 thf(zip_derived_cl23, plain, (((unit) = (i @ unit))),
% 44.17/7.00 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 44.17/7.00 thf(zip_derived_cl0, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 44.17/7.00 inference('cnf', [status(esa)], [c01])).
% 44.17/7.00 thf(zip_derived_cl30154, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i]:
% 44.17/7.00 ((i @ (op_k @ X1 @ X0)) = (asoc @ X0 @ X1 @ (i @ (mult @ X1 @ X0))))),
% 44.17/7.00 inference('demod', [status(thm)],
% 44.17/7.00 [zip_derived_cl29775, zip_derived_cl503, zip_derived_cl2,
% 44.17/7.00 zip_derived_cl23, zip_derived_cl0])).
% 44.17/7.00 thf(c21, axiom, (( asoc @ ( asoc @ A @ B @ C ) @ D @ E ) = ( unit ))).
% 44.17/7.00 thf(zip_derived_cl20, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 44.17/7.00 ((asoc @ (asoc @ X0 @ X1 @ X2) @ X3 @ X4) = (unit))),
% 44.17/7.00 inference('cnf', [status(esa)], [c21])).
% 44.17/7.00 thf(zip_derived_cl31361, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 44.17/7.00 ((asoc @ (i @ (op_k @ X1 @ X0)) @ X3 @ X2) = (unit))),
% 44.17/7.00 inference('s_sup+', [status(thm)],
% 44.17/7.00 [zip_derived_cl30154, zip_derived_cl20])).
% 44.17/7.00 thf(zip_derived_cl31617, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 44.17/7.00 ((asoc @ (i @ (i @ (op_k @ X1 @ X0))) @ X3 @ X2) = (unit))),
% 44.17/7.00 inference('s_sup+', [status(thm)],
% 44.17/7.00 [zip_derived_cl6858, zip_derived_cl31361])).
% 44.17/7.00 thf(zip_derived_cl301, plain, (![X0 : $i]: ((i @ (i @ X0)) = (X0))),
% 44.17/7.00 inference('s_sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl36])).
% 44.17/7.00 thf(zip_derived_cl31634, plain,
% 44.17/7.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 44.17/7.00 ((asoc @ (op_k @ X1 @ X0) @ X3 @ X2) = (unit))),
% 44.17/7.00 inference('demod', [status(thm)],
% 44.17/7.00 [zip_derived_cl31617, zip_derived_cl301])).
% 44.17/7.00 thf(zip_derived_cl31662, plain, (((unit) != (unit))),
% 44.17/7.00 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl31634])).
% 44.17/7.00 thf(zip_derived_cl31663, plain, ($false),
% 44.17/7.00 inference('simplify', [status(thm)], [zip_derived_cl31662])).
% 44.17/7.00
% 44.17/7.00 % SZS output end Refutation
% 44.17/7.00
% 44.17/7.00
% 44.17/7.00 % Terminating...
% 44.73/7.07 % Runner terminated.
% 44.73/7.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------