TSTP Solution File: SEU234+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU234+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n003.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 : Tue Jul 19 12:01:17 EDT 2022
% Result : Theorem 0.58s 1.41s
% Output : Proof 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU234+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n003.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 : Sun Jun 19 19:19:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.58/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/1.42
% 0.58/1.42 %-----------------------------------------------------
% 0.58/1.42 fof(t31_ordinal1, conjecture, ! [_54991] : (! [_54999] : (in(_54999, _54991) => ordinal(_54999) & subset(_54999, _54991)) => ordinal(_54991)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t31_ordinal1)).
% 0.58/1.42 fof(cc2_ordinal1, axiom, ! [_55274] : (epsilon_transitive(_55274) & epsilon_connected(_55274) => ordinal(_55274)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cc2_ordinal1)).
% 0.58/1.42 fof(d2_ordinal1, axiom, ! [_55419] : (epsilon_transitive(_55419) <=> ! [_55434] : (in(_55434, _55419) => subset(_55434, _55419))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_ordinal1)).
% 0.58/1.42 fof(d3_ordinal1, axiom, ! [_55618] : (epsilon_connected(_55618) <=> ! [_55633, _55636] : ~ (in(_55633, _55618) & in(_55636, _55618) & ~ in(_55633, _55636) & (! _55633) = _55636 & ~ in(_55636, _55633))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_ordinal1)).
% 0.58/1.42 fof(t24_ordinal1, axiom, ! [_56025] : (ordinal(_56025) => ! [_56040] : (ordinal(_56040) => ~ (~ in(_56025, _56040) & (! _56025) = _56040 & ~ in(_56040, _56025)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t24_ordinal1)).
% 0.58/1.42
% 0.58/1.42 cnf(1, plain, [-(18 ^ [_42047]), -(subset(_42047, 17 ^ []))], clausify(t31_ordinal1)).
% 0.58/1.42 cnf(2, plain, [-(18 ^ [_42047]), -(ordinal(_42047))], clausify(t31_ordinal1)).
% 0.58/1.42 cnf(3, plain, [ordinal(17 ^ [])], clausify(t31_ordinal1)).
% 0.58/1.42 cnf(4, plain, [in(_42047, 17 ^ []), 18 ^ [_42047]], clausify(t31_ordinal1)).
% 0.58/1.42 cnf(5, plain, [-(_16317 = _16317)], theory(equality)).
% 0.58/1.42 cnf(6, plain, [-(subset(_21162, _21293)), subset(_21095, _21228), _21095 = _21162, _21228 = _21293], theory(equality)).
% 0.58/1.42 cnf(7, plain, [-(ordinal(_23699)), epsilon_transitive(_23699), epsilon_connected(_23699)], clausify(cc2_ordinal1)).
% 0.58/1.42 cnf(8, plain, [-(epsilon_transitive(_24293)), -(in(1 ^ [_24293], _24293))], clausify(d2_ordinal1)).
% 0.58/1.42 cnf(9, plain, [-(epsilon_transitive(_24293)), subset(1 ^ [_24293], _24293)], clausify(d2_ordinal1)).
% 0.58/1.42 cnf(10, plain, [-(epsilon_connected(_24661)), -(in(2 ^ [_24661], _24661))], clausify(d3_ordinal1)).
% 0.58/1.42 cnf(11, plain, [-(epsilon_connected(_24661)), -(in(3 ^ [_24661], _24661))], clausify(d3_ordinal1)).
% 0.58/1.42 cnf(12, plain, [-(epsilon_connected(_24661)), in(2 ^ [_24661], 3 ^ [_24661])], clausify(d3_ordinal1)).
% 0.58/1.42 cnf(13, plain, [-(epsilon_connected(_24661)), 2 ^ [_24661] = 3 ^ [_24661]], clausify(d3_ordinal1)).
% 0.58/1.42 cnf(14, plain, [-(epsilon_connected(_24661)), in(3 ^ [_24661], 2 ^ [_24661])], clausify(d3_ordinal1)).
% 0.58/1.42 cnf(15, plain, [ordinal(_30970), ordinal(_31077), -(in(_30970, _31077)), -(_30970 = _31077), -(in(_31077, _30970))], clausify(t24_ordinal1)).
% 0.58/1.42
% 0.58/1.42 cnf('1',plain,[ordinal(17 ^ [])],start(3)).
% 0.58/1.42 cnf('1.1',plain,[-(ordinal(17 ^ [])), epsilon_transitive(17 ^ []), epsilon_connected(17 ^ [])],extension(7,bind([[_23699], [17 ^ []]]))).
% 0.58/1.42 cnf('1.1.1',plain,[-(epsilon_transitive(17 ^ [])), -(in(1 ^ [17 ^ []], 17 ^ []))],extension(8,bind([[_24293], [17 ^ []]]))).
% 0.58/1.42 cnf('1.1.1.1',plain,[in(1 ^ [17 ^ []], 17 ^ []), 18 ^ [1 ^ [17 ^ []]]],extension(4,bind([[_42047], [1 ^ [17 ^ []]]]))).
% 0.58/1.42 cnf('1.1.1.1.1',plain,[-(18 ^ [1 ^ [17 ^ []]]), -(subset(1 ^ [17 ^ []], 17 ^ []))],extension(1,bind([[_42047], [1 ^ [17 ^ []]]]))).
% 0.58/1.42 cnf('1.1.1.1.1.1',plain,[subset(1 ^ [17 ^ []], 17 ^ []), -(subset(1 ^ [17 ^ []], 17 ^ [])), 1 ^ [17 ^ []] = 1 ^ [17 ^ []], 17 ^ [] = 17 ^ []],extension(6,bind([[_21095, _21162, _21228, _21293], [1 ^ [17 ^ []], 1 ^ [17 ^ []], 17 ^ [], 17 ^ []]]))).
% 0.58/1.42 cnf('1.1.1.1.1.1.1',plain,[subset(1 ^ [17 ^ []], 17 ^ []), -(epsilon_transitive(17 ^ []))],extension(9,bind([[_24293], [17 ^ []]]))).
% 0.58/1.42 cnf('1.1.1.1.1.1.1.1',plain,[epsilon_transitive(17 ^ [])],reduction('1.1')).
% 0.58/1.42 cnf('1.1.1.1.1.1.2',plain,[-(1 ^ [17 ^ []] = 1 ^ [17 ^ []])],extension(5,bind([[_16317], [1 ^ [17 ^ []]]]))).
% 0.58/1.42 cnf('1.1.1.1.1.1.3',plain,[-(17 ^ [] = 17 ^ [])],extension(5,bind([[_16317], [17 ^ []]]))).
% 0.58/1.42 cnf('1.1.2',plain,[-(epsilon_connected(17 ^ [])), in(2 ^ [17 ^ []], 3 ^ [17 ^ []])],extension(12,bind([[_24661], [17 ^ []]]))).
% 0.58/1.42 cnf('1.1.2.1',plain,[-(in(2 ^ [17 ^ []], 3 ^ [17 ^ []])), ordinal(2 ^ [17 ^ []]), ordinal(3 ^ [17 ^ []]), -(2 ^ [17 ^ []] = 3 ^ [17 ^ []]), -(in(3 ^ [17 ^ []], 2 ^ [17 ^ []]))],extension(15,bind([[_31077, _30970], [3 ^ [17 ^ []], 2 ^ [17 ^ []]]]))).
% 0.58/1.42 cnf('1.1.2.1.1',plain,[-(ordinal(2 ^ [17 ^ []])), -(18 ^ [2 ^ [17 ^ []]])],extension(2,bind([[_42047], [2 ^ [17 ^ []]]]))).
% 0.58/1.42 cnf('1.1.2.1.1.1',plain,[18 ^ [2 ^ [17 ^ []]], in(2 ^ [17 ^ []], 17 ^ [])],extension(4,bind([[_42047], [2 ^ [17 ^ []]]]))).
% 0.58/1.42 cnf('1.1.2.1.1.1.1',plain,[-(in(2 ^ [17 ^ []], 17 ^ [])), -(epsilon_connected(17 ^ []))],extension(10,bind([[_24661], [17 ^ []]]))).
% 0.58/1.42 cnf('1.1.2.1.1.1.1.1',plain,[epsilon_connected(17 ^ [])],reduction('1.1')).
% 0.58/1.42 cnf('1.1.2.1.2',plain,[-(ordinal(3 ^ [17 ^ []])), -(18 ^ [3 ^ [17 ^ []]])],extension(2,bind([[_42047], [3 ^ [17 ^ []]]]))).
% 0.58/1.42 cnf('1.1.2.1.2.1',plain,[18 ^ [3 ^ [17 ^ []]], in(3 ^ [17 ^ []], 17 ^ [])],extension(4,bind([[_42047], [3 ^ [17 ^ []]]]))).
% 0.58/1.42 cnf('1.1.2.1.2.1.1',plain,[-(in(3 ^ [17 ^ []], 17 ^ [])), -(epsilon_connected(17 ^ []))],extension(11,bind([[_24661], [17 ^ []]]))).
% 0.58/1.42 cnf('1.1.2.1.2.1.1.1',plain,[epsilon_connected(17 ^ [])],reduction('1.1')).
% 0.58/1.42 cnf('1.1.2.1.3',plain,[2 ^ [17 ^ []] = 3 ^ [17 ^ []], -(epsilon_connected(17 ^ []))],extension(13,bind([[_24661], [17 ^ []]]))).
% 0.58/1.42 cnf('1.1.2.1.3.1',plain,[epsilon_connected(17 ^ [])],reduction('1.1')).
% 0.58/1.42 cnf('1.1.2.1.4',plain,[in(3 ^ [17 ^ []], 2 ^ [17 ^ []]), -(epsilon_connected(17 ^ []))],extension(14,bind([[_24661], [17 ^ []]]))).
% 0.58/1.42 cnf('1.1.2.1.4.1',plain,[epsilon_connected(17 ^ [])],reduction('1.1')).
% 0.58/1.42 %-----------------------------------------------------
% 0.58/1.42
% 0.58/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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