TSTP Solution File: KRS167+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : KRS167+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n021.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 : Sun Jul 17 03:13:53 EDT 2022

% Result   : Theorem 0.35s 1.40s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : KRS167+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun  7 07:06:06 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.35/1.40  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.41  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.41  
% 0.35/1.41  %-----------------------------------------------------
% 0.35/1.41  fof(the_axiom, conjecture, ! [_34613] : (cowlThing(_34613) & ~ cowlNothing(_34613)) & ! [_34613] : (xsd_string(_34613) <=> ~ xsd_integer(_34613)) & ! [_34613] : (cc1(_34613) <=> cc2(_34613)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', the_axiom)).
% 0.35/1.41  fof(axiom_0, axiom, ! [_35029] : (cowlThing(_35029) & ~ cowlNothing(_35029)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_0)).
% 0.35/1.41  fof(axiom_1, axiom, ! [_35169] : (xsd_string(_35169) <=> ~ xsd_integer(_35169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_1)).
% 0.35/1.41  fof(axiom_2, axiom, ! [_35309] : (cc1(_35309) <=> ? [_35324] : rp(_35309, _35324) & ! [_35324, _35344] : (rp(_35309, _35324) & rp(_35309, _35344) => _35324 = _35344)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_2)).
% 0.35/1.41  fof(axiom_3, axiom, ! [_35635] : (cc2(_35635) <=> ? [_35650] : rp(_35635, _35650) & ! [_35650, _35670] : (rp(_35635, _35650) & rp(_35635, _35670) => _35650 = _35670)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_3)).
% 0.35/1.41  
% 0.35/1.41  cnf(1, plain, [-(13 ^ []), cc1(11 ^ [])], clausify(the_axiom)).
% 0.35/1.41  cnf(2, plain, [-(13 ^ []), -(cc2(11 ^ []))], clausify(the_axiom)).
% 0.35/1.41  cnf(3, plain, [-(12 ^ []), cc2(11 ^ [])], clausify(the_axiom)).
% 0.35/1.41  cnf(4, plain, [-(12 ^ []), -(cc1(11 ^ []))], clausify(the_axiom)).
% 0.35/1.41  cnf(5, plain, [-(10 ^ []), xsd_string(8 ^ [])], clausify(the_axiom)).
% 0.35/1.41  cnf(6, plain, [-(10 ^ []), xsd_integer(8 ^ [])], clausify(the_axiom)).
% 0.35/1.41  cnf(7, plain, [-(9 ^ []), -(xsd_integer(8 ^ []))], clausify(the_axiom)).
% 0.35/1.41  cnf(8, plain, [-(9 ^ []), -(xsd_string(8 ^ []))], clausify(the_axiom)).
% 0.35/1.41  cnf(9, plain, [-(cowlNothing(7 ^ [])), cowlThing(7 ^ []), 10 ^ [], 9 ^ [], 12 ^ [], 13 ^ []], clausify(the_axiom)).
% 0.35/1.41  cnf(10, plain, [-(_8180 = _8180)], theory(equality)).
% 0.35/1.41  cnf(11, plain, [-(rp(_10471, _10602)), rp(_10404, _10537), _10404 = _10471, _10537 = _10602], theory(equality)).
% 0.35/1.41  cnf(12, plain, [-(xsd_integer(_11077)), _11028 = _11077, xsd_integer(_11028)], theory(equality)).
% 0.35/1.41  cnf(13, plain, [-(cowlThing(_14836))], clausify(axiom_0)).
% 0.35/1.41  cnf(14, plain, [cowlNothing(_14836)], clausify(axiom_0)).
% 0.35/1.41  cnf(15, plain, [xsd_string(_15064), xsd_integer(_15064)], clausify(axiom_1)).
% 0.35/1.41  cnf(16, plain, [-(xsd_string(_15064)), -(xsd_integer(_15064))], clausify(axiom_1)).
% 0.35/1.41  cnf(17, plain, [-(cc1(_15292)), rp(_15292, _15413), -(rp(_15292, 2 ^ [_15292]))], clausify(axiom_2)).
% 0.35/1.41  cnf(18, plain, [-(cc1(_15292)), rp(_15292, _15413), -(rp(_15292, 3 ^ [_15292]))], clausify(axiom_2)).
% 0.35/1.41  cnf(19, plain, [-(cc1(_15292)), rp(_15292, _15413), 2 ^ [_15292] = 3 ^ [_15292]], clausify(axiom_2)).
% 0.35/1.41  cnf(20, plain, [cc1(_15292), -(rp(_15292, 1 ^ [_15292]))], clausify(axiom_2)).
% 0.35/1.41  cnf(21, plain, [cc1(_15292), -(_15507 = _15562), rp(_15292, _15507), rp(_15292, _15562)], clausify(axiom_2)).
% 0.35/1.41  cnf(22, plain, [-(cc2(_15938)), rp(_15938, _16059), -(rp(_15938, 5 ^ [_15938]))], clausify(axiom_3)).
% 0.35/1.41  cnf(23, plain, [-(cc2(_15938)), rp(_15938, _16059), -(rp(_15938, 6 ^ [_15938]))], clausify(axiom_3)).
% 0.35/1.41  cnf(24, plain, [-(cc2(_15938)), rp(_15938, _16059), 5 ^ [_15938] = 6 ^ [_15938]], clausify(axiom_3)).
% 0.35/1.41  cnf(25, plain, [cc2(_15938), -(rp(_15938, 4 ^ [_15938]))], clausify(axiom_3)).
% 0.35/1.41  cnf(26, plain, [cc2(_15938), -(_16153 = _16208), rp(_15938, _16153), rp(_15938, _16208)], clausify(axiom_3)).
% 0.35/1.41  
% 0.35/1.41  cnf('1',plain,[cowlNothing(7 ^ [])],start(14,bind([[_14836], [7 ^ []]]))).
% 0.35/1.41  cnf('1.1',plain,[-(cowlNothing(7 ^ [])), cowlThing(7 ^ []), 10 ^ [], 9 ^ [], 12 ^ [], 13 ^ []],extension(9)).
% 0.35/1.41  cnf('1.1.1',plain,[-(cowlThing(7 ^ []))],extension(13,bind([[_14836], [7 ^ []]]))).
% 0.35/1.41  cnf('1.1.2',plain,[-(10 ^ []), xsd_string(8 ^ [])],extension(5)).
% 0.35/1.41  cnf('1.1.2.1',plain,[-(xsd_string(8 ^ [])), -(xsd_integer(8 ^ []))],extension(16,bind([[_15064], [8 ^ []]]))).
% 0.35/1.41  cnf('1.1.2.1.1',plain,[xsd_integer(8 ^ []), -(10 ^ [])],extension(6)).
% 0.35/1.41  cnf('1.1.2.1.1.1',plain,[10 ^ []],reduction('1.1')).
% 0.35/1.41  cnf('1.1.3',plain,[-(9 ^ []), -(xsd_integer(8 ^ []))],extension(7)).
% 0.35/1.41  cnf('1.1.3.1',plain,[xsd_integer(8 ^ []), -(xsd_integer(8 ^ [])), 8 ^ [] = 8 ^ []],extension(12,bind([[_11028, _11077], [8 ^ [], 8 ^ []]]))).
% 0.35/1.41  cnf('1.1.3.1.1',plain,[xsd_integer(8 ^ []), -(xsd_integer(8 ^ [])), 8 ^ [] = 8 ^ []],extension(12,bind([[_11028, _11077], [8 ^ [], 8 ^ []]]))).
% 0.35/1.41  cnf('1.1.3.1.1.1',plain,[xsd_integer(8 ^ []), xsd_string(8 ^ [])],extension(15,bind([[_15064], [8 ^ []]]))).
% 0.35/1.41  cnf('1.1.3.1.1.1.1',plain,[-(xsd_string(8 ^ [])), -(9 ^ [])],extension(8)).
% 0.35/1.41  cnf('1.1.3.1.1.1.1.1',plain,[9 ^ []],reduction('1.1')).
% 0.35/1.41  cnf('1.1.3.1.1.2',plain,[-(8 ^ [] = 8 ^ [])],extension(10,bind([[_8180], [8 ^ []]]))).
% 0.35/1.41  cnf('1.1.3.1.2',plain,[-(8 ^ [] = 8 ^ [])],extension(10,bind([[_8180], [8 ^ []]]))).
% 0.35/1.41  cnf('1.1.4',plain,[-(12 ^ []), cc2(11 ^ [])],extension(3)).
% 0.35/1.41  cnf('1.1.4.1',plain,[-(cc2(11 ^ [])), rp(11 ^ [], 1 ^ [11 ^ []]), -(rp(11 ^ [], 5 ^ [11 ^ []]))],extension(22,bind([[_16059, _15938], [1 ^ [11 ^ []], 11 ^ []]]))).
% 0.35/1.41  cnf('1.1.4.1.1',plain,[-(rp(11 ^ [], 1 ^ [11 ^ []])), rp(11 ^ [], 1 ^ [11 ^ []]), 11 ^ [] = 11 ^ [], 1 ^ [11 ^ []] = 1 ^ [11 ^ []]],extension(11,bind([[_10404, _10471, _10537, _10602], [11 ^ [], 11 ^ [], 1 ^ [11 ^ []], 1 ^ [11 ^ []]]]))).
% 0.35/1.41  cnf('1.1.4.1.1.1',plain,[-(rp(11 ^ [], 1 ^ [11 ^ []])), cc1(11 ^ [])],extension(20,bind([[_15292], [11 ^ []]]))).
% 0.35/1.41  cnf('1.1.4.1.1.1.1',plain,[-(cc1(11 ^ [])), -(12 ^ [])],extension(4)).
% 0.35/1.41  cnf('1.1.4.1.1.1.1.1',plain,[12 ^ []],reduction('1.1')).
% 0.35/1.41  cnf('1.1.4.1.1.2',plain,[-(11 ^ [] = 11 ^ [])],extension(10,bind([[_8180], [11 ^ []]]))).
% 0.35/1.41  cnf('1.1.4.1.1.3',plain,[-(1 ^ [11 ^ []] = 1 ^ [11 ^ []])],extension(10,bind([[_8180], [1 ^ [11 ^ []]]]))).
% 0.35/1.41  cnf('1.1.4.1.2',plain,[rp(11 ^ [], 5 ^ [11 ^ []]), cc1(11 ^ []), -(5 ^ [11 ^ []] = 6 ^ [11 ^ []]), rp(11 ^ [], 6 ^ [11 ^ []])],extension(21,bind([[_15507, _15292, _15562], [5 ^ [11 ^ []], 11 ^ [], 6 ^ [11 ^ []]]]))).
% 0.35/1.41  cnf('1.1.4.1.2.1',plain,[-(cc1(11 ^ [])), -(12 ^ [])],extension(4)).
% 0.35/1.41  cnf('1.1.4.1.2.1.1',plain,[12 ^ []],reduction('1.1')).
% 0.35/1.41  cnf('1.1.4.1.2.2',plain,[5 ^ [11 ^ []] = 6 ^ [11 ^ []], -(cc2(11 ^ [])), rp(11 ^ [], 5 ^ [11 ^ []])],extension(24,bind([[_15938, _16059], [11 ^ [], 5 ^ [11 ^ []]]]))).
% 0.35/1.41  cnf('1.1.4.1.2.2.1',plain,[cc2(11 ^ [])],reduction('1.1.4')).
% 0.35/1.41  cnf('1.1.4.1.2.2.2',plain,[-(rp(11 ^ [], 5 ^ [11 ^ []]))],reduction('1.1.4.1')).
% 0.35/1.41  cnf('1.1.4.1.2.3',plain,[-(rp(11 ^ [], 6 ^ [11 ^ []])), -(cc2(11 ^ [])), rp(11 ^ [], 5 ^ [11 ^ []])],extension(23,bind([[_15938, _16059], [11 ^ [], 5 ^ [11 ^ []]]]))).
% 0.35/1.41  cnf('1.1.4.1.2.3.1',plain,[cc2(11 ^ [])],reduction('1.1.4')).
% 0.35/1.41  cnf('1.1.4.1.2.3.2',plain,[-(rp(11 ^ [], 5 ^ [11 ^ []]))],reduction('1.1.4.1')).
% 0.35/1.41  cnf('1.1.5',plain,[-(13 ^ []), cc1(11 ^ [])],extension(1)).
% 0.35/1.41  cnf('1.1.5.1',plain,[-(cc1(11 ^ [])), rp(11 ^ [], 4 ^ [11 ^ []]), -(rp(11 ^ [], 2 ^ [11 ^ []]))],extension(17,bind([[_15413, _15292], [4 ^ [11 ^ []], 11 ^ []]]))).
% 0.35/1.41  cnf('1.1.5.1.1',plain,[-(rp(11 ^ [], 4 ^ [11 ^ []])), rp(11 ^ [], 4 ^ [11 ^ []]), 11 ^ [] = 11 ^ [], 4 ^ [11 ^ []] = 4 ^ [11 ^ []]],extension(11,bind([[_10404, _10471, _10537, _10602], [11 ^ [], 11 ^ [], 4 ^ [11 ^ []], 4 ^ [11 ^ []]]]))).
% 0.35/1.41  cnf('1.1.5.1.1.1',plain,[-(rp(11 ^ [], 4 ^ [11 ^ []])), cc2(11 ^ [])],extension(25,bind([[_15938], [11 ^ []]]))).
% 0.35/1.41  cnf('1.1.5.1.1.1.1',plain,[-(cc2(11 ^ [])), -(13 ^ [])],extension(2)).
% 0.35/1.41  cnf('1.1.5.1.1.1.1.1',plain,[13 ^ []],reduction('1.1')).
% 0.35/1.42  cnf('1.1.5.1.1.2',plain,[-(11 ^ [] = 11 ^ [])],extension(10,bind([[_8180], [11 ^ []]]))).
% 0.35/1.42  cnf('1.1.5.1.1.3',plain,[-(4 ^ [11 ^ []] = 4 ^ [11 ^ []])],extension(10,bind([[_8180], [4 ^ [11 ^ []]]]))).
% 0.35/1.42  cnf('1.1.5.1.2',plain,[rp(11 ^ [], 2 ^ [11 ^ []]), cc2(11 ^ []), -(2 ^ [11 ^ []] = 3 ^ [11 ^ []]), rp(11 ^ [], 3 ^ [11 ^ []])],extension(26,bind([[_16153, _15938, _16208], [2 ^ [11 ^ []], 11 ^ [], 3 ^ [11 ^ []]]]))).
% 0.35/1.42  cnf('1.1.5.1.2.1',plain,[-(cc2(11 ^ [])), -(13 ^ [])],extension(2)).
% 0.35/1.42  cnf('1.1.5.1.2.1.1',plain,[13 ^ []],reduction('1.1')).
% 0.35/1.42  cnf('1.1.5.1.2.2',plain,[2 ^ [11 ^ []] = 3 ^ [11 ^ []], -(cc1(11 ^ [])), rp(11 ^ [], 2 ^ [11 ^ []])],extension(19,bind([[_15292, _15413], [11 ^ [], 2 ^ [11 ^ []]]]))).
% 0.35/1.42  cnf('1.1.5.1.2.2.1',plain,[cc1(11 ^ [])],reduction('1.1.5')).
% 0.35/1.42  cnf('1.1.5.1.2.2.2',plain,[-(rp(11 ^ [], 2 ^ [11 ^ []]))],reduction('1.1.5.1')).
% 0.35/1.42  cnf('1.1.5.1.2.3',plain,[-(rp(11 ^ [], 3 ^ [11 ^ []])), -(cc1(11 ^ [])), rp(11 ^ [], 2 ^ [11 ^ []])],extension(18,bind([[_15292, _15413], [11 ^ [], 2 ^ [11 ^ []]]]))).
% 0.35/1.42  cnf('1.1.5.1.2.3.1',plain,[cc1(11 ^ [])],reduction('1.1.5')).
% 0.35/1.42  cnf('1.1.5.1.2.3.2',plain,[-(rp(11 ^ [], 2 ^ [11 ^ []]))],reduction('1.1.5.1')).
% 0.35/1.42  %-----------------------------------------------------
% 0.35/1.42  
% 0.35/1.42  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------