TSTP Solution File: SEU044+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU044+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n020.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 11:59:55 EDT 2022
% Result : Theorem 37.53s 36.77s
% Output : Proof 37.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU044+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n020.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
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 20:33:33 EDT 2022
% 0.13/0.35 % CPUTime :
% 37.53/36.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 37.53/36.78 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 37.53/36.78
% 37.53/36.78 %-----------------------------------------------------
% 37.53/36.78 fof(t86_funct_1, conjecture, ! [_72057, _72060, _72063] : (relation(_72063) & function(_72063) => (in(_72060, relation_dom(relation_rng_restriction(_72057, _72063))) <=> in(_72060, relation_dom(_72063)) & in(apply(_72063, _72060), _72057))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t86_funct_1)).
% 37.53/36.78 fof(t85_funct_1, axiom, ! [_72378, _72381] : (relation(_72381) & function(_72381) => ! [_72403] : (relation(_72403) & function(_72403) => (_72381 = relation_rng_restriction(_72378, _72403) <=> ! [_72438] : (in(_72438, relation_dom(_72381)) <=> in(_72438, relation_dom(_72403)) & in(apply(_72403, _72438), _72378)) & ! [_72438] : (in(_72438, relation_dom(_72381)) => apply(_72381, _72438) = apply(_72403, _72438))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t85_funct_1)).
% 37.53/36.78 fof(fc5_funct_1, axiom, ! [_73050, _73053] : (relation(_73053) & function(_73053) => relation(relation_rng_restriction(_73050, _73053)) & function(relation_rng_restriction(_73050, _73053))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc5_funct_1)).
% 37.53/36.78
% 37.53/36.78 cnf(1, plain, [-(28 ^ []), in(25 ^ [], relation_dom(relation_rng_restriction(24 ^ [], 26 ^ [])))], clausify(t86_funct_1)).
% 37.53/36.78 cnf(2, plain, [-(28 ^ []), -(in(apply(26 ^ [], 25 ^ []), 24 ^ []))], clausify(t86_funct_1)).
% 37.53/36.78 cnf(3, plain, [-(28 ^ []), -(in(25 ^ [], relation_dom(26 ^ [])))], clausify(t86_funct_1)).
% 37.53/36.78 cnf(4, plain, [-(27 ^ []), in(25 ^ [], relation_dom(26 ^ [])), in(apply(26 ^ [], 25 ^ []), 24 ^ [])], clausify(t86_funct_1)).
% 37.53/36.78 cnf(5, plain, [-(27 ^ []), -(in(25 ^ [], relation_dom(relation_rng_restriction(24 ^ [], 26 ^ []))))], clausify(t86_funct_1)).
% 37.53/36.78 cnf(6, plain, [-(22 ^ [_30566, _30354, _30232]), apply(_30354, 21 ^ [_30566, _30354, _30232]) = apply(_30566, 21 ^ [_30566, _30354, _30232])], clausify(t85_funct_1)).
% 37.53/36.78 cnf(7, plain, [-(22 ^ [_30566, _30354, _30232]), -(in(21 ^ [_30566, _30354, _30232], relation_dom(_30354)))], clausify(t85_funct_1)).
% 37.53/36.78 cnf(8, plain, [-(20 ^ [_30566, _30354, _30232]), in(18 ^ [_30566, _30354, _30232], relation_dom(_30354))], clausify(t85_funct_1)).
% 37.53/36.78 cnf(9, plain, [-(20 ^ [_30566, _30354, _30232]), -(in(apply(_30566, 18 ^ [_30566, _30354, _30232]), _30232))], clausify(t85_funct_1)).
% 37.53/36.78 cnf(10, plain, [-(20 ^ [_30566, _30354, _30232]), -(in(18 ^ [_30566, _30354, _30232], relation_dom(_30566)))], clausify(t85_funct_1)).
% 37.53/36.78 cnf(11, plain, [-(19 ^ [_30566, _30354, _30232]), in(18 ^ [_30566, _30354, _30232], relation_dom(_30566)), in(apply(_30566, 18 ^ [_30566, _30354, _30232]), _30232)], clausify(t85_funct_1)).
% 37.53/36.78 cnf(12, plain, [-(19 ^ [_30566, _30354, _30232]), -(in(18 ^ [_30566, _30354, _30232], relation_dom(_30354)))], clausify(t85_funct_1)).
% 37.53/36.78 cnf(13, plain, [-(16 ^ [_30873, _30566, _30354, _30232]), -(in(apply(_30566, _30873), _30232))], clausify(t85_funct_1)).
% 37.53/36.78 cnf(14, plain, [-(16 ^ [_30873, _30566, _30354, _30232]), -(in(_30873, relation_dom(_30566)))], clausify(t85_funct_1)).
% 37.53/36.78 cnf(15, plain, [-(17 ^ [_30566, _30354, _30232]), -(in(_30873, relation_dom(_30354))), in(_30873, relation_dom(_30566)), in(apply(_30566, _30873), _30232)], clausify(t85_funct_1)).
% 37.53/36.78 cnf(16, plain, [-(17 ^ [_30566, _30354, _30232]), in(_30873, relation_dom(_30354)), 16 ^ [_30873, _30566, _30354, _30232]], clausify(t85_funct_1)).
% 37.53/36.78 cnf(17, plain, [-(17 ^ [_30566, _30354, _30232]), in(_31211, relation_dom(_30354)), -(apply(_30354, _31211) = apply(_30566, _31211))], clausify(t85_funct_1)).
% 37.53/36.78 cnf(18, plain, [-(23 ^ [_30566, _30354, _30232]), _30354 = relation_rng_restriction(_30232, _30566), 17 ^ [_30566, _30354, _30232]], clausify(t85_funct_1)).
% 37.53/36.78 cnf(19, plain, [-(23 ^ [_30566, _30354, _30232]), -(_30354 = relation_rng_restriction(_30232, _30566)), 22 ^ [_30566, _30354, _30232], 20 ^ [_30566, _30354, _30232], 19 ^ [_30566, _30354, _30232]], clausify(t85_funct_1)).
% 37.53/36.78 cnf(20, plain, [-(4 ^ [_26772, _26713]), -(function(relation_rng_restriction(_26713, _26772)))], clausify(fc5_funct_1)).
% 37.53/36.78 cnf(21, plain, [-(4 ^ [_26772, _26713]), -(relation(relation_rng_restriction(_26713, _26772)))], clausify(fc5_funct_1)).
% 37.53/36.78 cnf(22, plain, [-(relation(26 ^ []))], clausify(t86_funct_1)).
% 37.53/36.78 cnf(23, plain, [-(function(26 ^ []))], clausify(t86_funct_1)).
% 37.53/36.78 cnf(24, plain, [28 ^ [], 27 ^ []], clausify(t86_funct_1)).
% 37.53/36.78 cnf(25, plain, [-(relation_rng_restriction(_20450, _20583) = relation_rng_restriction(_20517, _20648)), _20450 = _20517, _20583 = _20648], theory(equality)).
% 37.53/36.78 cnf(26, plain, [-(_14643 = _14643)], theory(equality)).
% 37.53/36.78 cnf(27, plain, [4 ^ [_26772, _26713], relation(_26772), function(_26772)], clausify(fc5_funct_1)).
% 37.53/36.78 cnf(28, plain, [function(_30354), relation(_30354), function(_30566), relation(_30566), 23 ^ [_30566, _30354, _30232]], clausify(t85_funct_1)).
% 37.53/36.78
% 37.53/36.78 cnf('1',plain,[-(relation(26 ^ []))],start(22)).
% 37.53/36.78 cnf('1.1',plain,[relation(26 ^ []), function(relation_rng_restriction(24 ^ [], 26 ^ [])), relation(relation_rng_restriction(24 ^ [], 26 ^ [])), function(26 ^ []), 23 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]],extension(28,bind([[_30566, _30354, _30232], [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]]))).
% 37.53/36.78 cnf('1.1.1',plain,[-(function(relation_rng_restriction(24 ^ [], 26 ^ []))), -(4 ^ [26 ^ [], 24 ^ []])],extension(20,bind([[_26772, _26713], [26 ^ [], 24 ^ []]]))).
% 37.53/36.78 cnf('1.1.1.1',plain,[4 ^ [26 ^ [], 24 ^ []], relation(26 ^ []), function(26 ^ [])],extension(27,bind([[_26713, _26772], [24 ^ [], 26 ^ []]]))).
% 37.53/36.78 cnf('1.1.1.1.1',plain,[-(relation(26 ^ []))],extension(22)).
% 37.53/36.78 cnf('1.1.1.1.2',plain,[-(function(26 ^ []))],extension(23)).
% 37.53/36.78 cnf('1.1.2',plain,[-(relation(relation_rng_restriction(24 ^ [], 26 ^ []))), -(4 ^ [26 ^ [], 24 ^ []])],extension(21,bind([[_26772, _26713], [26 ^ [], 24 ^ []]]))).
% 37.53/36.78 cnf('1.1.2.1',plain,[4 ^ [26 ^ [], 24 ^ []], relation(26 ^ []), function(26 ^ [])],extension(27,bind([[_26713, _26772], [24 ^ [], 26 ^ []]]))).
% 37.53/36.78 cnf('1.1.2.1.1',plain,[-(relation(26 ^ []))],extension(22)).
% 37.53/36.78 cnf('1.1.2.1.2',plain,[-(function(26 ^ []))],extension(23)).
% 37.53/36.78 cnf('1.1.3',plain,[-(function(26 ^ []))],extension(23)).
% 37.53/36.78 cnf('1.1.4',plain,[-(23 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]), -(relation_rng_restriction(24 ^ [], 26 ^ []) = relation_rng_restriction(24 ^ [], 26 ^ [])), 22 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], 20 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], 19 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]],extension(19,bind([[_30566, _30354, _30232], [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]]))).
% 37.53/36.78 cnf('1.1.4.1',plain,[relation_rng_restriction(24 ^ [], 26 ^ []) = relation_rng_restriction(24 ^ [], 26 ^ []), -(23 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]), 17 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]],extension(18,bind([[_30566, _30354, _30232], [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]]))).
% 37.53/36.78 cnf('1.1.4.1.1',plain,[23 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]],reduction('1.1')).
% 37.53/36.78 cnf('1.1.4.1.2',plain,[-(17 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]), in(25 ^ [], relation_dom(relation_rng_restriction(24 ^ [], 26 ^ []))), 16 ^ [25 ^ [], 26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]],extension(16,bind([[_30873, _30566, _30354, _30232], [25 ^ [], 26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]]))).
% 37.53/36.78 cnf('1.1.4.1.2.1',plain,[-(in(25 ^ [], relation_dom(relation_rng_restriction(24 ^ [], 26 ^ [])))), -(17 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]), in(25 ^ [], relation_dom(26 ^ [])), in(apply(26 ^ [], 25 ^ []), 24 ^ [])],extension(15,bind([[_30354, _30566, _30873, _30232], [relation_rng_restriction(24 ^ [], 26 ^ []), 26 ^ [], 25 ^ [], 24 ^ []]]))).
% 37.53/36.78 cnf('1.1.4.1.2.1.1',plain,[17 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]],reduction('1.1.4.1')).
% 37.53/36.78 cnf('1.1.4.1.2.1.2',plain,[-(in(25 ^ [], relation_dom(26 ^ []))), -(28 ^ [])],extension(3)).
% 37.53/36.78 cnf('1.1.4.1.2.1.2.1',plain,[28 ^ [], 27 ^ []],extension(24)).
% 37.53/36.78 cnf('1.1.4.1.2.1.2.1.1',plain,[-(27 ^ []), -(in(25 ^ [], relation_dom(relation_rng_restriction(24 ^ [], 26 ^ []))))],extension(5)).
% 37.53/36.78 cnf('1.1.4.1.2.1.2.1.1.1',plain,[in(25 ^ [], relation_dom(relation_rng_restriction(24 ^ [], 26 ^ [])))],reduction('1.1.4.1.2')).
% 37.53/36.78 cnf('1.1.4.1.2.1.3',plain,[-(in(apply(26 ^ [], 25 ^ []), 24 ^ [])), -(28 ^ [])],extension(2)).
% 37.53/36.78 cnf('1.1.4.1.2.1.3.1',plain,[28 ^ [], 27 ^ []],extension(24)).
% 37.53/36.78 cnf('1.1.4.1.2.1.3.1.1',plain,[-(27 ^ []), -(in(25 ^ [], relation_dom(relation_rng_restriction(24 ^ [], 26 ^ []))))],extension(5)).
% 37.53/36.78 cnf('1.1.4.1.2.1.3.1.1.1',plain,[in(25 ^ [], relation_dom(relation_rng_restriction(24 ^ [], 26 ^ [])))],reduction('1.1.4.1.2')).
% 37.53/36.78 cnf('1.1.4.1.2.2',plain,[-(16 ^ [25 ^ [], 26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]), -(in(apply(26 ^ [], 25 ^ []), 24 ^ []))],extension(13,bind([[_30354, _30566, _30873, _30232], [relation_rng_restriction(24 ^ [], 26 ^ []), 26 ^ [], 25 ^ [], 24 ^ []]]))).
% 37.53/36.78 cnf('1.1.4.1.2.2.1',plain,[in(apply(26 ^ [], 25 ^ []), 24 ^ []), -(27 ^ []), in(25 ^ [], relation_dom(26 ^ []))],extension(4)).
% 37.53/36.78 cnf('1.1.4.1.2.2.1.1',plain,[27 ^ [], 28 ^ []],extension(24)).
% 37.53/36.78 cnf('1.1.4.1.2.2.1.1.1',plain,[-(28 ^ []), in(25 ^ [], relation_dom(relation_rng_restriction(24 ^ [], 26 ^ [])))],extension(1)).
% 37.53/36.78 cnf('1.1.4.1.2.2.1.1.1.1',plain,[-(in(25 ^ [], relation_dom(relation_rng_restriction(24 ^ [], 26 ^ []))))],lemmata('1.1.4.1.2')).
% 37.53/36.78 cnf('1.1.4.1.2.2.1.2',plain,[-(in(25 ^ [], relation_dom(26 ^ []))), -(16 ^ [25 ^ [], 26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []])],extension(14,bind([[_30873, _30566, _30354, _30232], [25 ^ [], 26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]]))).
% 37.53/36.78 cnf('1.1.4.1.2.2.1.2.1',plain,[16 ^ [25 ^ [], 26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]],reduction('1.1.4.1.2')).
% 37.53/36.78 cnf('1.1.4.2',plain,[-(22 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]), apply(relation_rng_restriction(24 ^ [], 26 ^ []), 21 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]) = apply(26 ^ [], 21 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []])],extension(6,bind([[_30566, _30354, _30232], [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]]))).
% 37.53/36.78 cnf('1.1.4.2.1',plain,[-(apply(relation_rng_restriction(24 ^ [], 26 ^ []), 21 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]) = apply(26 ^ [], 21 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []])), -(17 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]), in(21 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], relation_dom(relation_rng_restriction(24 ^ [], 26 ^ [])))],extension(17,bind([[_30566, _30232, _31211, _30354], [26 ^ [], 24 ^ [], 21 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], relation_rng_restriction(24 ^ [], 26 ^ [])]]))).
% 37.53/36.78 cnf('1.1.4.2.1.1',plain,[17 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], -(23 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]), relation_rng_restriction(24 ^ [], 26 ^ []) = relation_rng_restriction(24 ^ [], 26 ^ [])],extension(18,bind([[_30354, _30232, _30566], [relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ [], 26 ^ []]]))).
% 37.53/36.78 cnf('1.1.4.2.1.1.1',plain,[23 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]],reduction('1.1')).
% 37.53/36.78 cnf('1.1.4.2.1.1.2',plain,[-(relation_rng_restriction(24 ^ [], 26 ^ []) = relation_rng_restriction(24 ^ [], 26 ^ [])), 24 ^ [] = 24 ^ [], 26 ^ [] = 26 ^ []],extension(25,bind([[_20450, _20517, _20583, _20648], [24 ^ [], 24 ^ [], 26 ^ [], 26 ^ []]]))).
% 37.53/36.78 cnf('1.1.4.2.1.1.2.1',plain,[-(24 ^ [] = 24 ^ [])],extension(26,bind([[_14643], [24 ^ []]]))).
% 37.53/36.78 cnf('1.1.4.2.1.1.2.2',plain,[-(26 ^ [] = 26 ^ [])],extension(26,bind([[_14643], [26 ^ []]]))).
% 37.53/36.78 cnf('1.1.4.2.1.2',plain,[-(in(21 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], relation_dom(relation_rng_restriction(24 ^ [], 26 ^ [])))), -(22 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []])],extension(7,bind([[_30566, _30354, _30232], [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]]))).
% 37.53/36.78 cnf('1.1.4.2.1.2.1',plain,[22 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]],reduction('1.1.4')).
% 37.53/36.78 cnf('1.1.4.3',plain,[-(20 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]), in(18 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], relation_dom(relation_rng_restriction(24 ^ [], 26 ^ [])))],extension(8,bind([[_30566, _30232, _30354], [26 ^ [], 24 ^ [], relation_rng_restriction(24 ^ [], 26 ^ [])]]))).
% 37.53/36.78 cnf('1.1.4.3.1',plain,[-(in(18 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], relation_dom(relation_rng_restriction(24 ^ [], 26 ^ [])))), -(17 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]), in(18 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], relation_dom(26 ^ [])), in(apply(26 ^ [], 18 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]), 24 ^ [])],extension(15,bind([[_30354, _30566, _30873, _30232], [relation_rng_restriction(24 ^ [], 26 ^ []), 26 ^ [], 18 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], 24 ^ []]]))).
% 37.53/36.78 cnf('1.1.4.3.1.1',plain,[17 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], -(23 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]), relation_rng_restriction(24 ^ [], 26 ^ []) = relation_rng_restriction(24 ^ [], 26 ^ [])],extension(18,bind([[_30354, _30232, _30566], [relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ [], 26 ^ []]]))).
% 37.53/36.78 cnf('1.1.4.3.1.1.1',plain,[23 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]],reduction('1.1')).
% 37.53/36.78 cnf('1.1.4.3.1.1.2',plain,[-(relation_rng_restriction(24 ^ [], 26 ^ []) = relation_rng_restriction(24 ^ [], 26 ^ [])), 24 ^ [] = 24 ^ [], 26 ^ [] = 26 ^ []],extension(25,bind([[_20450, _20517, _20583, _20648], [24 ^ [], 24 ^ [], 26 ^ [], 26 ^ []]]))).
% 37.53/36.78 cnf('1.1.4.3.1.1.2.1',plain,[-(24 ^ [] = 24 ^ [])],extension(26,bind([[_14643], [24 ^ []]]))).
% 37.53/36.78 cnf('1.1.4.3.1.1.2.2',plain,[-(26 ^ [] = 26 ^ [])],extension(26,bind([[_14643], [26 ^ []]]))).
% 37.53/36.78 cnf('1.1.4.3.1.2',plain,[-(in(18 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], relation_dom(26 ^ []))), -(20 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []])],extension(10,bind([[_30566, _30354, _30232], [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]]))).
% 37.53/36.78 cnf('1.1.4.3.1.2.1',plain,[20 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]],reduction('1.1.4')).
% 37.53/36.78 cnf('1.1.4.3.1.3',plain,[-(in(apply(26 ^ [], 18 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]), 24 ^ [])), -(20 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []])],extension(9,bind([[_30566, _30354, _30232], [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]]))).
% 37.53/36.78 cnf('1.1.4.3.1.3.1',plain,[20 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]],reduction('1.1.4')).
% 37.53/36.78 cnf('1.1.4.4',plain,[-(19 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]), in(18 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], relation_dom(26 ^ [])), in(apply(26 ^ [], 18 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]), 24 ^ [])],extension(11,bind([[_30566, _30354, _30232], [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]]))).
% 37.53/36.78 cnf('1.1.4.4.1',plain,[-(in(18 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], relation_dom(26 ^ []))), -(16 ^ [18 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], 26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []])],extension(14,bind([[_30873, _30566, _30354, _30232], [18 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], 26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]]))).
% 37.53/36.78 cnf('1.1.4.4.1.1',plain,[16 ^ [18 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], 26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], -(17 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]), in(18 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], relation_dom(relation_rng_restriction(24 ^ [], 26 ^ [])))],extension(16,bind([[_30566, _30232, _30873, _30354], [26 ^ [], 24 ^ [], 18 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], relation_rng_restriction(24 ^ [], 26 ^ [])]]))).
% 37.53/36.78 cnf('1.1.4.4.1.1.1',plain,[17 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], -(23 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]), relation_rng_restriction(24 ^ [], 26 ^ []) = relation_rng_restriction(24 ^ [], 26 ^ [])],extension(18,bind([[_30354, _30232, _30566], [relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ [], 26 ^ []]]))).
% 37.53/36.78 cnf('1.1.4.4.1.1.1.1',plain,[23 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]],reduction('1.1')).
% 37.53/36.78 cnf('1.1.4.4.1.1.1.2',plain,[-(relation_rng_restriction(24 ^ [], 26 ^ []) = relation_rng_restriction(24 ^ [], 26 ^ []))],extension(26,bind([[_14643], [relation_rng_restriction(24 ^ [], 26 ^ [])]]))).
% 37.53/36.78 cnf('1.1.4.4.1.1.2',plain,[-(in(18 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], relation_dom(relation_rng_restriction(24 ^ [], 26 ^ [])))), -(19 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []])],extension(12,bind([[_30566, _30354, _30232], [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]]))).
% 37.53/36.78 cnf('1.1.4.4.1.1.2.1',plain,[19 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]],reduction('1.1.4')).
% 37.53/36.78 cnf('1.1.4.4.2',plain,[-(in(apply(26 ^ [], 18 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]), 24 ^ [])), -(16 ^ [18 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], 26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []])],extension(13,bind([[_30873, _30566, _30354, _30232], [18 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], 26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]]))).
% 37.53/36.78 cnf('1.1.4.4.2.1',plain,[16 ^ [18 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], 26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], -(17 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]), in(18 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], relation_dom(relation_rng_restriction(24 ^ [], 26 ^ [])))],extension(16,bind([[_30566, _30232, _30873, _30354], [26 ^ [], 24 ^ [], 18 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], relation_rng_restriction(24 ^ [], 26 ^ [])]]))).
% 37.53/36.78 cnf('1.1.4.4.2.1.1',plain,[17 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], -(23 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]), relation_rng_restriction(24 ^ [], 26 ^ []) = relation_rng_restriction(24 ^ [], 26 ^ [])],extension(18,bind([[_30354, _30232, _30566], [relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ [], 26 ^ []]]))).
% 37.53/36.78 cnf('1.1.4.4.2.1.1.1',plain,[23 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]],reduction('1.1')).
% 37.53/36.78 cnf('1.1.4.4.2.1.1.2',plain,[-(relation_rng_restriction(24 ^ [], 26 ^ []) = relation_rng_restriction(24 ^ [], 26 ^ []))],extension(26,bind([[_14643], [relation_rng_restriction(24 ^ [], 26 ^ [])]]))).
% 37.53/36.78 cnf('1.1.4.4.2.1.2',plain,[-(in(18 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []], relation_dom(relation_rng_restriction(24 ^ [], 26 ^ [])))), -(19 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []])],extension(12,bind([[_30566, _30354, _30232], [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]]))).
% 37.53/36.78 cnf('1.1.4.4.2.1.2.1',plain,[19 ^ [26 ^ [], relation_rng_restriction(24 ^ [], 26 ^ []), 24 ^ []]],reduction('1.1.4')).
% 37.53/36.78 %-----------------------------------------------------
% 37.53/36.79
% 37.53/36.79 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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