TSTP Solution File: REL012+2 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : REL012+2 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 21:37:16 EST 2010
% Result : Theorem 130.99s
% Output : Solution 199.22s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Reading problem from /tmp/SystemOnTPTP21143/REL012+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% not found
% Adding ~C to TBU ... ~goals:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... maddux1_join_commutativity:
% CSA axiom maddux1_join_commutativity found
% Looking for CSA axiom ... maddux2_join_associativity:
% CSA axiom maddux2_join_associativity found
% Looking for CSA axiom ... maddux3_a_kind_of_de_Morgan:
% CSA axiom maddux3_a_kind_of_de_Morgan found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... composition_associativity:
% CSA axiom composition_associativity found
% Looking for CSA axiom ... composition_distributivity:
% CSA axiom composition_distributivity found
% Looking for CSA axiom ... converse_idempotence:
% CSA axiom converse_idempotence found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... converse_additivity:
% CSA axiom converse_additivity found
% Looking for CSA axiom ... converse_multiplicativity:
% CSA axiom converse_multiplicativity found
% Looking for CSA axiom ... converse_cancellativity:
% CSA axiom converse_cancellativity found
% ---- Iteration 4 (9 axioms selected)
% Looking for TBU SAT ...
% no
% Looking for TBU UNS ...
% yes - theorem proved
% ---- Selection completed
% Selected axioms are ... :converse_cancellativity:converse_multiplicativity:converse_additivity:converse_idempotence:composition_distributivity:composition_associativity:maddux3_a_kind_of_de_Morgan:maddux2_join_associativity:maddux1_join_commutativity (9)
% Unselected axioms are ... :dedekind_law:modular_law_1:modular_law_2:maddux4_definiton_of_meet:def_top:composition_identity:def_zero (7)
% SZS status THM for /tmp/SystemOnTPTP21143/REL012+2.tptp
% Looking for THM ...
% found
% SZS output start Solution for /tmp/SystemOnTPTP21143/REL012+2.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=600 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p
% TreeLimitedRun: CPU time limit is 600s
% TreeLimitedRun: WC time limit is 1200s
% TreeLimitedRun: PID is 22885
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.55 CPU 2.02 WC
% PrfWatch: 3.17 CPU 4.03 WC
% PrfWatch: 5.17 CPU 6.04 WC
% PrfWatch: 7.16 CPU 8.04 WC
% PrfWatch: 9.13 CPU 10.05 WC
% PrfWatch: 11.10 CPU 12.06 WC
% PrfWatch: 13.09 CPU 14.06 WC
% PrfWatch: 15.08 CPU 16.07 WC
% PrfWatch: 17.05 CPU 18.08 WC
% PrfWatch: 19.04 CPU 20.08 WC
% PrfWatch: 21.03 CPU 22.09 WC
% PrfWatch: 23.02 CPU 24.10 WC
% PrfWatch: 25.00 CPU 26.11 WC
% PrfWatch: 26.98 CPU 28.11 WC
% PrfWatch: 28.97 CPU 30.12 WC
% PrfWatch: 30.94 CPU 32.13 WC
% PrfWatch: 32.93 CPU 34.13 WC
% PrfWatch: 34.91 CPU 36.14 WC
% PrfWatch: 36.90 CPU 38.15 WC
% # Preprocessing time : 0.010 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 38.89 CPU 40.16 WC
% PrfWatch: 40.88 CPU 42.16 WC
% PrfWatch: 42.87 CPU 44.17 WC
% PrfWatch: 44.47 CPU 46.18 WC
% PrfWatch: 46.10 CPU 48.18 WC
% PrfWatch: 48.09 CPU 50.19 WC
% PrfWatch: 50.09 CPU 52.20 WC
% PrfWatch: 52.08 CPU 54.20 WC
% PrfWatch: 54.07 CPU 56.21 WC
% PrfWatch: 56.06 CPU 58.22 WC
% PrfWatch: 58.05 CPU 60.22 WC
% PrfWatch: 60.04 CPU 62.23 WC
% PrfWatch: 62.04 CPU 64.24 WC
% PrfWatch: 64.03 CPU 66.25 WC
% PrfWatch: 66.02 CPU 68.25 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:join(composition(converse(X1),complement(composition(X1,X2))),complement(X2))=complement(X2),file('/tmp/SRASS.s.p', converse_cancellativity)).
% fof(2, axiom,![X1]:![X2]:converse(composition(X1,X2))=composition(converse(X2),converse(X1)),file('/tmp/SRASS.s.p', converse_multiplicativity)).
% fof(3, axiom,![X1]:![X2]:converse(join(X1,X2))=join(converse(X1),converse(X2)),file('/tmp/SRASS.s.p', converse_additivity)).
% fof(4, axiom,![X1]:converse(converse(X1))=X1,file('/tmp/SRASS.s.p', converse_idempotence)).
% fof(7, axiom,![X1]:![X2]:X1=join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),file('/tmp/SRASS.s.p', maddux3_a_kind_of_de_Morgan)).
% fof(8, axiom,![X1]:![X2]:![X3]:join(X1,join(X2,X3))=join(join(X1,X2),X3),file('/tmp/SRASS.s.p', maddux2_join_associativity)).
% fof(9, axiom,![X1]:![X2]:join(X1,X2)=join(X2,X1),file('/tmp/SRASS.s.p', maddux1_join_commutativity)).
% fof(10, conjecture,![X1]:![X2]:join(composition(complement(composition(X1,X2)),converse(X2)),complement(X1))=complement(X1),file('/tmp/SRASS.s.p', goals)).
% fof(11, negated_conjecture,~(![X1]:![X2]:join(composition(complement(composition(X1,X2)),converse(X2)),complement(X1))=complement(X1)),inference(assume_negation,[status(cth)],[10])).
% fof(12, plain,![X3]:![X4]:join(composition(converse(X3),complement(composition(X3,X4))),complement(X4))=complement(X4),inference(variable_rename,[status(thm)],[1])).
% cnf(13,plain,(join(composition(converse(X1),complement(composition(X1,X2))),complement(X2))=complement(X2)),inference(split_conjunct,[status(thm)],[12])).
% fof(14, plain,![X3]:![X4]:converse(composition(X3,X4))=composition(converse(X4),converse(X3)),inference(variable_rename,[status(thm)],[2])).
% cnf(15,plain,(converse(composition(X1,X2))=composition(converse(X2),converse(X1))),inference(split_conjunct,[status(thm)],[14])).
% fof(16, plain,![X3]:![X4]:converse(join(X3,X4))=join(converse(X3),converse(X4)),inference(variable_rename,[status(thm)],[3])).
% cnf(17,plain,(converse(join(X1,X2))=join(converse(X1),converse(X2))),inference(split_conjunct,[status(thm)],[16])).
% fof(18, plain,![X2]:converse(converse(X2))=X2,inference(variable_rename,[status(thm)],[4])).
% cnf(19,plain,(converse(converse(X1))=X1),inference(split_conjunct,[status(thm)],[18])).
% fof(24, plain,![X3]:![X4]:X3=join(complement(join(complement(X3),complement(X4))),complement(join(complement(X3),X4))),inference(variable_rename,[status(thm)],[7])).
% cnf(25,plain,(X1=join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2)))),inference(split_conjunct,[status(thm)],[24])).
% fof(26, plain,![X4]:![X5]:![X6]:join(X4,join(X5,X6))=join(join(X4,X5),X6),inference(variable_rename,[status(thm)],[8])).
% cnf(27,plain,(join(X1,join(X2,X3))=join(join(X1,X2),X3)),inference(split_conjunct,[status(thm)],[26])).
% fof(28, plain,![X3]:![X4]:join(X3,X4)=join(X4,X3),inference(variable_rename,[status(thm)],[9])).
% cnf(29,plain,(join(X1,X2)=join(X2,X1)),inference(split_conjunct,[status(thm)],[28])).
% fof(30, negated_conjecture,?[X1]:?[X2]:~(join(composition(complement(composition(X1,X2)),converse(X2)),complement(X1))=complement(X1)),inference(fof_nnf,[status(thm)],[11])).
% fof(31, negated_conjecture,?[X3]:?[X4]:~(join(composition(complement(composition(X3,X4)),converse(X4)),complement(X3))=complement(X3)),inference(variable_rename,[status(thm)],[30])).
% fof(32, negated_conjecture,~(join(composition(complement(composition(esk1_0,esk2_0)),converse(esk2_0)),complement(esk1_0))=complement(esk1_0)),inference(skolemize,[status(esa)],[31])).
% cnf(33,negated_conjecture,(join(composition(complement(composition(esk1_0,esk2_0)),converse(esk2_0)),complement(esk1_0))!=complement(esk1_0)),inference(split_conjunct,[status(thm)],[32])).
% cnf(34,negated_conjecture,(join(complement(esk1_0),composition(complement(composition(esk1_0,esk2_0)),converse(esk2_0)))!=complement(esk1_0)),inference(rw,[status(thm)],[33,29,theory(equality)])).
% cnf(36,plain,(composition(X1,converse(X2))=converse(composition(X2,converse(X1)))),inference(spm,[status(thm)],[15,19,theory(equality)])).
% cnf(39,plain,(join(converse(X1),X2)=converse(join(X1,converse(X2)))),inference(spm,[status(thm)],[17,19,theory(equality)])).
% cnf(40,plain,(join(X1,converse(X2))=converse(join(converse(X1),X2))),inference(spm,[status(thm)],[17,19,theory(equality)])).
% cnf(60,plain,(join(converse(X1),composition(X3,converse(X2)))=converse(join(X1,composition(X2,converse(X3))))),inference(spm,[status(thm)],[17,36,theory(equality)])).
% cnf(120,plain,(join(X1,join(X2,X3))=join(X3,join(X1,X2))),inference(spm,[status(thm)],[29,27,theory(equality)])).
% cnf(123,plain,(join(converse(join(X1,X2)),X3)=join(converse(X1),join(converse(X2),X3))),inference(spm,[status(thm)],[27,17,theory(equality)])).
% cnf(124,plain,(join(join(X2,X1),X3)=join(X1,join(X2,X3))),inference(spm,[status(thm)],[27,29,theory(equality)])).
% cnf(128,plain,(join(X2,join(X1,X3))=join(X1,join(X2,X3))),inference(rw,[status(thm)],[124,27,theory(equality)])).
% cnf(314,plain,(join(complement(X2),composition(converse(X1),complement(composition(X1,X2))))=complement(X2)),inference(rw,[status(thm)],[13,29,theory(equality)])).
% cnf(319,plain,(join(complement(converse(X1)),composition(converse(converse(X2)),complement(converse(composition(X1,X2)))))=complement(converse(X1))),inference(spm,[status(thm)],[314,15,theory(equality)])).
% cnf(329,plain,(join(complement(converse(X1)),composition(X2,complement(converse(composition(X1,X2)))))=complement(converse(X1))),inference(rw,[status(thm)],[319,19,theory(equality)])).
% cnf(591,plain,(join(complement(X1),join(X2,composition(converse(X3),complement(composition(X3,X1)))))=join(X2,complement(X1))),inference(spm,[status(thm)],[128,314,theory(equality)])).
% cnf(869,plain,(join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2))))=X1),inference(rw,[status(thm)],[25,29,theory(equality)])).
% cnf(870,plain,(join(X1,X3)=join(complement(join(complement(X1),X2)),join(complement(join(complement(X1),complement(X2))),X3))),inference(spm,[status(thm)],[27,869,theory(equality)])).
% cnf(874,plain,(join(X1,X2)=join(complement(join(complement(X2),X3)),join(X1,complement(join(complement(X2),complement(X3)))))),inference(spm,[status(thm)],[128,869,theory(equality)])).
% cnf(878,plain,(join(complement(join(complement(join(complement(X1),X2)),join(complement(X1),complement(X2)))),complement(X1))=join(complement(X1),X2)),inference(spm,[status(thm)],[869,869,theory(equality)])).
% cnf(879,plain,(join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1))))=X1),inference(spm,[status(thm)],[869,29,theory(equality)])).
% cnf(881,plain,(join(complement(join(X3,join(complement(X1),X2))),complement(join(complement(X1),complement(join(X2,X3)))))=X1),inference(spm,[status(thm)],[869,120,theory(equality)])).
% cnf(887,plain,(join(complement(join(X2,complement(X1))),complement(join(complement(X1),complement(X2))))=X1),inference(spm,[status(thm)],[869,29,theory(equality)])).
% cnf(5818,plain,(join(X1,X2)=join(complement(join(complement(X2),X3)),join(X1,complement(join(complement(X3),complement(X2)))))),inference(spm,[status(thm)],[128,879,theory(equality)])).
% cnf(5834,plain,(join(complement(join(X2,complement(X1))),complement(join(complement(X2),complement(X1))))=X1),inference(spm,[status(thm)],[879,29,theory(equality)])).
% cnf(6560,plain,(join(X1,X3)=join(complement(join(X2,complement(X3))),join(X1,complement(join(complement(X2),complement(X3)))))),inference(spm,[status(thm)],[128,5834,theory(equality)])).
% cnf(22721,plain,(join(X1,composition(converse(X3),complement(composition(X3,join(complement(X1),X2)))))=join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2)))),inference(spm,[status(thm)],[591,870,theory(equality)])).
% cnf(22741,plain,(join(complement(join(complement(X1),X2)),X1)=join(X1,complement(join(complement(X1),complement(complement(X2)))))),inference(spm,[status(thm)],[870,869,theory(equality)])).
% cnf(22812,plain,(join(X1,composition(converse(X3),complement(composition(X3,join(complement(X1),X2)))))=X1),inference(rw,[status(thm)],[inference(rw,[status(thm)],[22721,29,theory(equality)]),869,theory(equality)])).
% cnf(22840,plain,(join(X1,composition(converse(X2),complement(composition(X2,complement(X1)))))=X1),inference(spm,[status(thm)],[22812,22812,theory(equality)])).
% cnf(23109,plain,(join(X1,X2)=join(X2,join(X1,composition(converse(X3),complement(composition(X3,complement(X2))))))),inference(spm,[status(thm)],[128,22840,theory(equality)])).
% cnf(23246,plain,(join(X1,complement(join(complement(X1),complement(complement(X2)))))=join(X1,complement(join(complement(X1),X2)))),inference(rw,[status(thm)],[22741,29,theory(equality)])).
% cnf(23293,plain,(join(X1,join(X2,complement(join(complement(X2),X3))))=join(X2,join(X1,complement(join(complement(X2),complement(complement(X3))))))),inference(spm,[status(thm)],[128,23246,theory(equality)])).
% cnf(28063,plain,(join(converse(X2),converse(X1))=join(converse(join(X1,X2)),composition(converse(X3),complement(composition(X3,complement(converse(X1))))))),inference(spm,[status(thm)],[123,23109,theory(equality)])).
% cnf(28207,plain,(converse(join(X2,X1))=join(converse(join(X1,X2)),composition(converse(X3),complement(composition(X3,complement(converse(X1))))))),inference(rw,[status(thm)],[28063,17,theory(equality)])).
% cnf(28334,plain,(join(X1,complement(X2))=join(complement(join(complement(complement(X2)),X1)),join(X1,complement(join(complement(X1),X2))))),inference(spm,[status(thm)],[23293,879,theory(equality)])).
% cnf(151231,plain,(join(complement(join(complement(X1),X2)),X2)=join(complement(join(X1,complement(X2))),X1)),inference(spm,[status(thm)],[874,5834,theory(equality)])).
% cnf(153202,plain,(join(X2,complement(join(complement(X1),X2)))=join(complement(join(X1,complement(X2))),X1)),inference(rw,[status(thm)],[151231,29,theory(equality)])).
% cnf(153203,plain,(join(X2,complement(join(complement(X1),X2)))=join(X1,complement(join(X1,complement(X2))))),inference(rw,[status(thm)],[153202,29,theory(equality)])).
% cnf(162168,plain,(join(complement(X1),complement(join(complement(X2),join(complement(X1),complement(join(complement(X1),X2))))))=join(complement(X1),X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[878,120,theory(equality)]),29,theory(equality)]),29,theory(equality)])).
% cnf(626450,plain,(join(X1,join(complement(join(complement(X1),X2)),complement(join(complement(complement(X2)),X1))))=join(X1,complement(X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[28334,120,theory(equality)]),29,theory(equality)]),128,theory(equality)])).
% cnf(627261,plain,(join(complement(X1),X1)=join(complement(X1),complement(complement(X1)))),inference(spm,[status(thm)],[626450,5834,theory(equality)])).
% cnf(627699,plain,(join(complement(X1),complement(complement(X1)))=join(X1,complement(X1))),inference(rw,[status(thm)],[627261,29,theory(equality)])).
% cnf(627888,plain,(join(complement(join(X1,complement(complement(X1)))),complement(join(X1,complement(X1))))=complement(X1)),inference(spm,[status(thm)],[5834,627699,theory(equality)])).
% cnf(642681,plain,(join(complement(join(X1,complement(X1))),complement(join(X1,complement(complement(X1)))))=complement(X1)),inference(rw,[status(thm)],[627888,29,theory(equality)])).
% cnf(642873,plain,(complement(complement(X1))=X1),inference(spm,[status(thm)],[869,642681,theory(equality)])).
% cnf(643008,plain,(join(complement(join(X1,X2)),complement(join(X2,complement(X1))))=complement(X2)),inference(spm,[status(thm)],[887,642873,theory(equality)])).
% cnf(643015,plain,(join(complement(join(X1,X2)),complement(join(complement(X1),X2)))=complement(X2)),inference(spm,[status(thm)],[5834,642873,theory(equality)])).
% cnf(643017,plain,(join(complement(join(X1,X2)),join(X3,complement(join(complement(X1),X2))))=join(X3,complement(X2))),inference(spm,[status(thm)],[6560,642873,theory(equality)])).
% cnf(643027,plain,(join(complement(join(X1,X2)),complement(join(X1,complement(X2))))=complement(X1)),inference(spm,[status(thm)],[869,642873,theory(equality)])).
% cnf(643046,plain,(join(complement(join(X1,X2)),join(X3,complement(join(X1,complement(X2)))))=join(X3,complement(X1))),inference(spm,[status(thm)],[874,642873,theory(equality)])).
% cnf(643048,plain,(join(X1,complement(join(complement(X2),join(X1,complement(join(X1,X2))))))=join(X1,X2)),inference(spm,[status(thm)],[162168,642873,theory(equality)])).
% cnf(643049,plain,(join(complement(join(X1,X2)),complement(join(complement(X2),X1)))=complement(X1)),inference(spm,[status(thm)],[879,642873,theory(equality)])).
% cnf(646720,plain,(join(complement(join(complement(X1),join(complement(join(X1,X2)),X2))),complement(complement(X2)))=join(X1,X2)),inference(spm,[status(thm)],[881,643008,theory(equality)])).
% cnf(647288,plain,(join(complement(join(complement(X1),join(complement(join(X1,X2)),X2))),X2)=join(X1,X2)),inference(rw,[status(thm)],[646720,642873,theory(equality)])).
% cnf(655691,plain,(join(X2,complement(join(complement(X1),join(X2,complement(join(X1,X2))))))=join(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[647288,29,theory(equality)]),29,theory(equality)])).
% cnf(672448,plain,(join(complement(join(X1,X2)),join(X2,complement(join(complement(X1),X2))))=join(X1,complement(X1))),inference(spm,[status(thm)],[643046,153203,theory(equality)])).
% cnf(673099,plain,(join(X2,complement(X2))=join(X1,complement(X1))),inference(rw,[status(thm)],[672448,643017,theory(equality)])).
% cnf(673278,plain,(join(X3,complement(X3))=join(X1,join(X2,complement(join(X1,X2))))),inference(spm,[status(thm)],[27,673099,theory(equality)])).
% cnf(673297,plain,(join(complement(join(X1,complement(complement(X1)))),complement(join(X2,complement(X2))))=complement(complement(complement(X1)))),inference(spm,[status(thm)],[643015,673099,theory(equality)])).
% cnf(673426,plain,(converse(join(X2,complement(X2)))=join(X1,converse(complement(converse(X1))))),inference(spm,[status(thm)],[40,673099,theory(equality)])).
% cnf(673529,plain,(join(complement(join(X2,complement(X2))),complement(join(X1,complement(complement(X1)))))=complement(X1)),inference(spm,[status(thm)],[643027,673099,theory(equality)])).
% cnf(674046,plain,(join(complement(join(X1,X1)),complement(join(X2,complement(X2))))=complement(complement(complement(X1)))),inference(rw,[status(thm)],[673297,642873,theory(equality)])).
% cnf(674047,plain,(join(complement(join(X1,X1)),complement(join(X2,complement(X2))))=complement(X1)),inference(rw,[status(thm)],[674046,642873,theory(equality)])).
% cnf(674075,plain,(join(complement(join(X2,complement(X2))),complement(join(X1,X1)))=complement(X1)),inference(rw,[status(thm)],[673529,642873,theory(equality)])).
% cnf(678594,plain,(join(X1,complement(X1))=join(join(X2,X2),complement(X2))),inference(spm,[status(thm)],[673278,674047,theory(equality)])).
% cnf(679059,plain,(join(X1,complement(X1))=join(X2,join(X2,complement(X2)))),inference(rw,[status(thm)],[678594,27,theory(equality)])).
% cnf(681536,plain,(join(X1,complement(X1))=join(X2,join(X3,complement(X3)))),inference(spm,[status(thm)],[679059,673099,theory(equality)])).
% cnf(682210,plain,(join(X3,complement(X3))=join(join(X2,complement(X2)),X1)),inference(spm,[status(thm)],[29,681536,theory(equality)])).
% cnf(683073,plain,(join(X3,complement(X3))=join(X2,join(complement(X2),X1))),inference(rw,[status(thm)],[682210,27,theory(equality)])).
% cnf(683308,plain,(join(complement(complement(X1)),complement(join(X2,complement(X2))))=join(complement(complement(X1)),X1)),inference(spm,[status(thm)],[643048,683073,theory(equality)])).
% cnf(684388,plain,(join(X1,complement(join(X2,complement(X2))))=join(complement(complement(X1)),X1)),inference(rw,[status(thm)],[683308,642873,theory(equality)])).
% cnf(684389,plain,(join(X1,complement(join(X2,complement(X2))))=join(X1,X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[684388,29,theory(equality)]),642873,theory(equality)])).
% cnf(689643,plain,(join(complement(join(X1,complement(X1))),complement(join(complement(X2),join(complement(join(X1,complement(X1))),complement(join(X2,X2))))))=join(X2,X2)),inference(spm,[status(thm)],[655691,684389,theory(equality)])).
% cnf(691243,plain,(X2=join(X2,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[689643,674075,theory(equality)]),674075,theory(equality)]),642873,theory(equality)])).
% cnf(691705,plain,(join(X1,X2)=join(X1,join(join(X1,X2),X2))),inference(spm,[status(thm)],[128,691243,theory(equality)])).
% cnf(692000,plain,(join(X1,complement(join(X2,complement(X2))))=X1),inference(rw,[status(thm)],[684389,691243,theory(equality)])).
% cnf(692681,plain,(join(X1,X2)=join(X1,join(X1,X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[691705,27,theory(equality)]),691243,theory(equality)])).
% cnf(693127,plain,(join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1))))=join(complement(join(complement(X1),X2)),X1)),inference(spm,[status(thm)],[5818,692681,theory(equality)])).
% cnf(693852,plain,(X1=join(complement(join(complement(X1),X2)),X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[693127,643049,theory(equality)]),642873,theory(equality)])).
% cnf(693853,plain,(X1=join(X1,complement(join(complement(X1),X2)))),inference(rw,[status(thm)],[693852,29,theory(equality)])).
% cnf(697245,plain,(join(complement(join(X1,X2)),X1)=join(X1,complement(X2))),inference(spm,[status(thm)],[643017,693853,theory(equality)])).
% cnf(697346,plain,(join(X1,complement(converse(join(X2,complement(X2)))))=X1),inference(spm,[status(thm)],[693853,673426,theory(equality)])).
% cnf(697719,plain,(join(X1,complement(join(X1,X2)))=join(X1,complement(X2))),inference(rw,[status(thm)],[697245,29,theory(equality)])).
% cnf(703992,plain,(converse(join(converse(X1),complement(X2)))=join(X1,converse(complement(join(converse(X1),X2))))),inference(spm,[status(thm)],[40,697719,theory(equality)])).
% cnf(704398,plain,(join(converse(X1),complement(converse(join(X1,X2))))=join(converse(X1),complement(converse(X2)))),inference(spm,[status(thm)],[697719,17,theory(equality)])).
% cnf(704617,plain,(join(X1,converse(complement(X2)))=join(X1,converse(complement(join(converse(X1),X2))))),inference(rw,[status(thm)],[703992,40,theory(equality)])).
% cnf(736654,plain,(join(converse(X1),complement(converse(complement(X1))))=converse(X1)),inference(spm,[status(thm)],[697346,704398,theory(equality)])).
% cnf(738013,plain,(join(converse(converse(X1)),composition(converse(X2),complement(composition(X2,complement(converse(converse(X1)))))))=converse(join(complement(converse(complement(X1))),converse(X1)))),inference(spm,[status(thm)],[28207,736654,theory(equality)])).
% cnf(738123,plain,(join(X1,converse(complement(converse(X1))))=join(X1,converse(complement(complement(converse(complement(X1))))))),inference(spm,[status(thm)],[704617,736654,theory(equality)])).
% cnf(738325,plain,(X1=converse(join(complement(converse(complement(X1))),converse(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[738013,19,theory(equality)]),19,theory(equality)]),22840,theory(equality)])).
% cnf(738326,plain,(X1=join(converse(complement(converse(complement(X1)))),X1)),inference(rw,[status(thm)],[738325,39,theory(equality)])).
% cnf(738430,plain,(join(X1,converse(complement(converse(X1))))=join(X1,complement(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[738123,642873,theory(equality)]),19,theory(equality)])).
% cnf(740918,plain,(join(X1,converse(complement(converse(complement(X1)))))=X1),inference(rw,[status(thm)],[738326,29,theory(equality)])).
% cnf(740939,plain,(join(complement(join(X1,converse(complement(converse(complement(complement(X1))))))),complement(complement(X1)))=complement(converse(complement(converse(complement(complement(X1))))))),inference(spm,[status(thm)],[643015,740918,theory(equality)])).
% cnf(741347,plain,(X1=complement(converse(complement(converse(complement(complement(X1))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[740939,642873,theory(equality)]),738430,theory(equality)]),642873,theory(equality)]),29,theory(equality)]),692000,theory(equality)])).
% cnf(741348,plain,(X1=complement(converse(complement(converse(X1))))),inference(rw,[status(thm)],[741347,642873,theory(equality)])).
% cnf(741943,plain,(complement(X1)=converse(complement(converse(X1)))),inference(spm,[status(thm)],[642873,741348,theory(equality)])).
% cnf(742177,plain,(converse(complement(X1))=complement(converse(X1))),inference(spm,[status(thm)],[19,741943,theory(equality)])).
% cnf(743375,plain,(converse(join(X1,composition(X2,complement(converse(X3)))))=join(converse(X1),composition(complement(X3),converse(X2)))),inference(spm,[status(thm)],[60,742177,theory(equality)])).
% cnf(781149,plain,(converse(complement(converse(X1)))=join(converse(complement(converse(X1))),composition(complement(composition(X1,X2)),converse(X2)))),inference(spm,[status(thm)],[743375,329,theory(equality)])).
% cnf(781571,plain,(complement(X1)=join(converse(complement(converse(X1))),composition(complement(composition(X1,X2)),converse(X2)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[781149,742177,theory(equality)]),19,theory(equality)])).
% cnf(781572,plain,(complement(X1)=join(complement(X1),composition(complement(composition(X1,X2)),converse(X2)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[781571,742177,theory(equality)]),19,theory(equality)])).
% cnf(1205804,negated_conjecture,($false),inference(rw,[status(thm)],[34,781572,theory(equality)])).
% cnf(1205805,negated_conjecture,($false),inference(cn,[status(thm)],[1205804,theory(equality)])).
% cnf(1205806,negated_conjecture,($false),1205805,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 15237
% # ...of these trivial : 5584
% # ...subsumed : 8643
% # ...remaining for further processing: 1010
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 4
% # Backward-rewritten : 331
% # Generated clauses : 629425
% # ...of the previous two non-trivial : 524426
% # Contextual simplify-reflections : 0
% # Paramodulations : 629425
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 675
% # Positive orientable unit clauses: 638
% # Positive unorientable unit clauses: 37
% # Negative unit clauses : 0
% # Non-unit-clauses : 0
% # Current number of unprocessed clauses: 308438
% # ...number of literals in the above : 308438
% # Clause-clause subsumption calls (NU) : 0
% # Rec. Clause-clause subsumption calls : 0
% # Unit Clause-clause subsumption calls : 7105
% # Rewrite failures with RHS unbound : 443
% # Indexed BW rewrite attempts : 17778
% # Indexed BW rewrite successes : 383
% # Backwards rewriting index: 408 leaves, 6.72+/-8.170 terms/leaf
% # Paramod-from index: 182 leaves, 3.82+/-5.129 terms/leaf
% # Paramod-into index: 346 leaves, 5.76+/-6.530 terms/leaf
% # -------------------------------------------------
% # User time : 36.613 s
% # System time : 1.522 s
% # Total time : 38.135 s
% # Maximum resident set size: 0 pages
% PrfWatch: 67.59 CPU 69.83 WC
% FINAL PrfWatch: 67.59 CPU 69.83 WC
% SZS output end Solution for /tmp/SystemOnTPTP21143/REL012+2.tptp
%
%------------------------------------------------------------------------------