TSTP Solution File: ITP020+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : ITP020+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n028.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 : 600s
% DateTime : Sat Jul 16 23:40:37 EDT 2022
% Result : Theorem 0.38s 1.41s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ITP020+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jun 3 20:54:10 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.38/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.42
% 0.38/1.42 %-----------------------------------------------------
% 0.38/1.42 fof(thm_2Eutil__prob_2ENUM__2D__BIJ__INV, conjecture, ? [_181431] : p(s(tyop_2Emin_2Ebool, c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Epair_2Eprod(tyop_2Enum_2Enum, tyop_2Enum_2Enum)), _181431), s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0), s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum, tyop_2Enum_2Enum), tyop_2Emin_2Ebool), c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0), s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Eutil__prob_2ENUM__2D__BIJ__INV)).
% 0.38/1.42 fof(thm_2Epred__set_2EBIJ__SYM, axiom, ! [_181887, _181890, _181893, _181896] : (? [_181904] : p(s(tyop_2Emin_2Ebool, c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(_181887, _181890), _181904), s(tyop_2Emin_2Efun(_181887, tyop_2Emin_2Ebool), _181893), s(tyop_2Emin_2Efun(_181890, tyop_2Emin_2Ebool), _181896)))) <=> ? [_181978] : p(s(tyop_2Emin_2Ebool, c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(_181890, _181887), _181978), s(tyop_2Emin_2Efun(_181890, tyop_2Emin_2Ebool), _181896), s(tyop_2Emin_2Efun(_181887, tyop_2Emin_2Ebool), _181893))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Epred__set_2EBIJ__SYM)).
% 0.38/1.42 fof(thm_2Eutil__prob_2ENUM__2D__BIJ, axiom, ? [_182388] : p(s(tyop_2Emin_2Ebool, c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum, tyop_2Enum_2Enum), tyop_2Enum_2Enum), _182388), s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum, tyop_2Enum_2Enum), tyop_2Emin_2Ebool), c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0), s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0))), s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2Eutil__prob_2ENUM__2D__BIJ)).
% 0.38/1.42
% 0.38/1.42 cnf(1, plain, [p(s(tyop_2Emin_2Ebool, c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Epair_2Eprod(tyop_2Enum_2Enum, tyop_2Enum_2Enum)), _121291), s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0), s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum, tyop_2Enum_2Enum), tyop_2Emin_2Ebool), c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0), s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0))))))], clausify(thm_2Eutil__prob_2ENUM__2D__BIJ__INV)).
% 0.38/1.42 cnf(2, plain, [p(s(tyop_2Emin_2Ebool, c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(_108153, _108266), _108610), s(tyop_2Emin_2Efun(_108153, tyop_2Emin_2Ebool), _108378), s(tyop_2Emin_2Efun(_108266, tyop_2Emin_2Ebool), _108489)))), -(p(s(tyop_2Emin_2Ebool, c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(_108266, _108153), 26 ^ [_108489, _108378, _108266, _108153]), s(tyop_2Emin_2Efun(_108266, tyop_2Emin_2Ebool), _108489), s(tyop_2Emin_2Efun(_108153, tyop_2Emin_2Ebool), _108378)))))], clausify(thm_2Epred__set_2EBIJ__SYM)).
% 0.38/1.42 cnf(3, plain, [-(p(s(tyop_2Emin_2Ebool, c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum, tyop_2Enum_2Enum), tyop_2Enum_2Enum), 28 ^ []), s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum, tyop_2Enum_2Enum), tyop_2Emin_2Ebool), c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0), s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0))), s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0)))))], clausify(thm_2Eutil__prob_2ENUM__2D__BIJ)).
% 0.38/1.42
% 0.38/1.42 cnf('1',plain,[p(s(tyop_2Emin_2Ebool, c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Epair_2Eprod(tyop_2Enum_2Enum, tyop_2Enum_2Enum)), 26 ^ [c_2Epred__set_2EUNIV_2E0, c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0), s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0)), tyop_2Enum_2Enum, tyop_2Epair_2Eprod(tyop_2Enum_2Enum, tyop_2Enum_2Enum)]), s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0), s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum, tyop_2Enum_2Enum), tyop_2Emin_2Ebool), c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0), s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0))))))],start(1,bind([[_121291], [26 ^ [c_2Epred__set_2EUNIV_2E0, c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0), s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0)), tyop_2Enum_2Enum, tyop_2Epair_2Eprod(tyop_2Enum_2Enum, tyop_2Enum_2Enum)]]]))).
% 0.38/1.42 cnf('1.1',plain,[-(p(s(tyop_2Emin_2Ebool, c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Epair_2Eprod(tyop_2Enum_2Enum, tyop_2Enum_2Enum)), 26 ^ [c_2Epred__set_2EUNIV_2E0, c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0), s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0)), tyop_2Enum_2Enum, tyop_2Epair_2Eprod(tyop_2Enum_2Enum, tyop_2Enum_2Enum)]), s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0), s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum, tyop_2Enum_2Enum), tyop_2Emin_2Ebool), c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0), s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0))))))), p(s(tyop_2Emin_2Ebool, c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum, tyop_2Enum_2Enum), tyop_2Enum_2Enum), 28 ^ []), s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum, tyop_2Enum_2Enum), tyop_2Emin_2Ebool), c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0), s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0))), s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0))))],extension(2,bind([[_108610, _108153, _108378, _108266, _108489], [28 ^ [], tyop_2Epair_2Eprod(tyop_2Enum_2Enum, tyop_2Enum_2Enum), c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0), s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0)), tyop_2Enum_2Enum, c_2Epred__set_2EUNIV_2E0]]))).
% 0.38/1.42 cnf('1.1.1',plain,[-(p(s(tyop_2Emin_2Ebool, c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum, tyop_2Enum_2Enum), tyop_2Enum_2Enum), 28 ^ []), s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum, tyop_2Enum_2Enum), tyop_2Emin_2Ebool), c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0), s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0))), s(tyop_2Emin_2Efun(tyop_2Enum_2Enum, tyop_2Emin_2Ebool), c_2Epred__set_2EUNIV_2E0)))))],extension(3)).
% 0.38/1.42 %-----------------------------------------------------
% 0.38/1.43
% 0.38/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------