TSTP Solution File: ITP020+4 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : ITP020+4 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n017.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 23:40:38 EDT 2022

% Result   : Theorem 54.89s 53.39s
% Output   : Proof 54.89s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : ITP020+4 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.08/0.14  % Command  : leancop_casc.sh %s %d
% 0.13/0.36  % Computer : n017.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 600
% 0.13/0.36  % DateTime : Fri Jun  3 13:08:00 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 22.64/21.99  *** Overflow of the global/trail stack in spite of garbage collection!
% 22.64/21.99  You can use the "-g kBytes" (GLOBALSIZE) option to have a larger stack.
% 22.64/21.99  Peak sizes were: global stack 130840 kbytes, trail stack 4200 kbytes
% 54.89/53.39  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 54.89/53.40  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 54.89/53.40  
% 54.89/53.40  %-----------------------------------------------------
% 54.89/53.40  fof(thm_2Eutil__prob_2ENUM__2D__BIJ__INV, conjecture, ? [_8752627] : 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)), _8752627), 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/sandbox/benchmark/theBenchmark.p', thm_2Eutil__prob_2ENUM__2D__BIJ__INV)).
% 54.89/53.40  fof(thm_2Epred__set_2EBIJ__SYM__IMP, axiom, ! [_8760167, _8760170, _8760173, _8760176] : (? [_8760184] : p(s(tyop_2Emin_2Ebool, c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(_8760167, _8760170), _8760184), s(tyop_2Emin_2Efun(_8760167, tyop_2Emin_2Ebool), _8760173), s(tyop_2Emin_2Efun(_8760170, tyop_2Emin_2Ebool), _8760176)))) => ? [_8760258] : p(s(tyop_2Emin_2Ebool, c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(_8760170, _8760167), _8760258), s(tyop_2Emin_2Efun(_8760170, tyop_2Emin_2Ebool), _8760176), s(tyop_2Emin_2Efun(_8760167, tyop_2Emin_2Ebool), _8760173))))), file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP027+4.ax', thm_2Epred__set_2EBIJ__SYM__IMP)).
% 54.89/53.40  fof(thm_2Eutil__prob_2ENUM__2D__BIJ, axiom, ? [_8790079] : 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), _8790079), 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/sandbox/benchmark/theBenchmark.p', thm_2Eutil__prob_2ENUM__2D__BIJ)).
% 54.89/53.40  
% 54.89/53.40  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)), _6386269), 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)).
% 54.89/53.40  cnf(2, plain, [p(s(tyop_2Emin_2Ebool, c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(_4137875, _4137876), _4137879), s(tyop_2Emin_2Efun(_4137875, tyop_2Emin_2Ebool), _4137877), s(tyop_2Emin_2Efun(_4137876, tyop_2Emin_2Ebool), _4137878)))), -(p(s(tyop_2Emin_2Ebool, c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(_4137876, _4137875), 2746 ^ [_4137878, _4137877, _4137876, _4137875]), s(tyop_2Emin_2Efun(_4137876, tyop_2Emin_2Ebool), _4137878), s(tyop_2Emin_2Efun(_4137875, tyop_2Emin_2Ebool), _4137877)))))], clausify(thm_2Epred__set_2EBIJ__SYM__IMP)).
% 54.89/53.40  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), 35926 ^ []), 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)).
% 54.89/53.40  
% 54.89/53.40  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)), 2746 ^ [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([[_6386269], [2746 ^ [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)]]]))).
% 54.89/53.40  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)), 2746 ^ [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), 35926 ^ []), 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([[_4137879, _4137875, _4137877, _4137876, _4137878], [35926 ^ [], 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]]))).
% 54.89/53.40  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), 35926 ^ []), 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)).
% 54.89/53.40  %-----------------------------------------------------
% 54.89/53.41  
% 54.89/53.41  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------