TSTP Solution File: REL003+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : REL003+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n011.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 : 300s
% DateTime : Tue Sep 20 02:59:51 EDT 2022
% Result : Theorem 0.22s 0.42s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : REL003+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Sep 2 19:19:28 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.15/0.36 Usage: tptp [options] [-file:]file
% 0.15/0.36 -h, -? prints this message.
% 0.15/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.15/0.36 -m, -model generate model.
% 0.15/0.36 -p, -proof generate proof.
% 0.15/0.36 -c, -core generate unsat core of named formulas.
% 0.15/0.36 -st, -statistics display statistics.
% 0.15/0.36 -t:timeout set timeout (in second).
% 0.15/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.15/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.15/0.36 -<param>:<value> configuration parameter and value.
% 0.15/0.36 -o:<output-file> file to place output in.
% 0.22/0.42 % SZS status Theorem
% 0.22/0.42 % SZS output start Proof
% 0.22/0.42 tff(tptp_fun_X1_0_type, type, (
% 0.22/0.42 tptp_fun_X1_0: $i)).
% 0.22/0.42 tff(join_type, type, (
% 0.22/0.42 join: ( $i * $i ) > $i)).
% 0.22/0.42 tff(tptp_fun_X0_1_type, type, (
% 0.22/0.42 tptp_fun_X0_1: $i)).
% 0.22/0.42 tff(converse_type, type, (
% 0.22/0.42 converse: $i > $i)).
% 0.22/0.42 tff(1,plain,
% 0.22/0.42 (![X0: $i] : (converse(converse(X0)) = X0) <=> ![X0: $i] : (converse(converse(X0)) = X0)),
% 0.22/0.42 inference(rewrite,[status(thm)],[])).
% 0.22/0.42 tff(2,plain,
% 0.22/0.42 (![X0: $i] : (converse(converse(X0)) = X0) <=> ![X0: $i] : (converse(converse(X0)) = X0)),
% 0.22/0.42 inference(rewrite,[status(thm)],[])).
% 0.22/0.42 tff(3,axiom,(![X0: $i] : (converse(converse(X0)) = X0)), file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax','converse_idempotence')).
% 0.22/0.42 tff(4,plain,
% 0.22/0.42 (![X0: $i] : (converse(converse(X0)) = X0)),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.22/0.42 tff(5,plain,(
% 0.22/0.42 ![X0: $i] : (converse(converse(X0)) = X0)),
% 0.22/0.42 inference(skolemize,[status(sab)],[4])).
% 0.22/0.42 tff(6,plain,
% 0.22/0.42 (![X0: $i] : (converse(converse(X0)) = X0)),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.22/0.42 tff(7,plain,
% 0.22/0.42 ((~![X0: $i] : (converse(converse(X0)) = X0)) | (converse(converse(X1!0)) = X1!0)),
% 0.22/0.42 inference(quant_inst,[status(thm)],[])).
% 0.22/0.42 tff(8,plain,
% 0.22/0.42 (converse(converse(X1!0)) = X1!0),
% 0.22/0.42 inference(unit_resolution,[status(thm)],[7, 6])).
% 0.22/0.42 tff(9,assumption,(~(join(converse(X0!1), converse(X1!0)) = converse(X1!0))), introduced(assumption)).
% 0.22/0.42 tff(10,plain,
% 0.22/0.42 (((~(join(converse(X0!1), converse(X1!0)) = converse(X1!0))) | (join(X0!1, X1!0) = X1!0)) | (join(converse(X0!1), converse(X1!0)) = converse(X1!0))),
% 0.22/0.42 inference(tautology,[status(thm)],[])).
% 0.22/0.42 tff(11,plain,
% 0.22/0.42 ((~(join(converse(X0!1), converse(X1!0)) = converse(X1!0))) | (join(X0!1, X1!0) = X1!0)),
% 0.22/0.42 inference(unit_resolution,[status(thm)],[10, 9])).
% 0.22/0.42 tff(12,plain,
% 0.22/0.42 ((~(~((~((~(join(X0!1, X1!0) = X1!0)) | (join(converse(X0!1), converse(X1!0)) = converse(X1!0)))) | (~((~(join(converse(X0!1), converse(X1!0)) = converse(X1!0))) | (join(X0!1, X1!0) = X1!0)))))) <=> ((~((~(join(X0!1, X1!0) = X1!0)) | (join(converse(X0!1), converse(X1!0)) = converse(X1!0)))) | (~((~(join(converse(X0!1), converse(X1!0)) = converse(X1!0))) | (join(X0!1, X1!0) = X1!0))))),
% 0.22/0.42 inference(rewrite,[status(thm)],[])).
% 0.22/0.42 tff(13,plain,
% 0.22/0.42 ((((~(join(X0!1, X1!0) = X1!0)) | (join(converse(X0!1), converse(X1!0)) = converse(X1!0))) & ((~(join(converse(X0!1), converse(X1!0)) = converse(X1!0))) | (join(X0!1, X1!0) = X1!0))) <=> (~((~((~(join(X0!1, X1!0) = X1!0)) | (join(converse(X0!1), converse(X1!0)) = converse(X1!0)))) | (~((~(join(converse(X0!1), converse(X1!0)) = converse(X1!0))) | (join(X0!1, X1!0) = X1!0)))))),
% 0.22/0.42 inference(rewrite,[status(thm)],[])).
% 0.22/0.42 tff(14,plain,
% 0.22/0.42 ((~(((~(join(X0!1, X1!0) = X1!0)) | (join(converse(X0!1), converse(X1!0)) = converse(X1!0))) & ((~(join(converse(X0!1), converse(X1!0)) = converse(X1!0))) | (join(X0!1, X1!0) = X1!0)))) <=> (~(~((~((~(join(X0!1, X1!0) = X1!0)) | (join(converse(X0!1), converse(X1!0)) = converse(X1!0)))) | (~((~(join(converse(X0!1), converse(X1!0)) = converse(X1!0))) | (join(X0!1, X1!0) = X1!0))))))),
% 0.22/0.42 inference(monotonicity,[status(thm)],[13])).
% 0.22/0.42 tff(15,plain,
% 0.22/0.42 ((~(((~(join(X0!1, X1!0) = X1!0)) | (join(converse(X0!1), converse(X1!0)) = converse(X1!0))) & ((~(join(converse(X0!1), converse(X1!0)) = converse(X1!0))) | (join(X0!1, X1!0) = X1!0)))) <=> ((~((~(join(X0!1, X1!0) = X1!0)) | (join(converse(X0!1), converse(X1!0)) = converse(X1!0)))) | (~((~(join(converse(X0!1), converse(X1!0)) = converse(X1!0))) | (join(X0!1, X1!0) = X1!0))))),
% 0.22/0.42 inference(transitivity,[status(thm)],[14, 12])).
% 0.22/0.42 tff(16,plain,
% 0.22/0.42 ((~![X0: $i, X1: $i] : (((~(join(X0, X1) = X1)) | (join(converse(X0), converse(X1)) = converse(X1))) & ((~(join(converse(X0), converse(X1)) = converse(X1))) | (join(X0, X1) = X1)))) <=> (~![X0: $i, X1: $i] : (((~(join(X0, X1) = X1)) | (join(converse(X0), converse(X1)) = converse(X1))) & ((~(join(converse(X0), converse(X1)) = converse(X1))) | (join(X0, X1) = X1))))),
% 0.22/0.42 inference(rewrite,[status(thm)],[])).
% 0.22/0.42 tff(17,plain,
% 0.22/0.42 ((~![X0: $i, X1: $i] : (((join(X0, X1) = X1) => (join(converse(X0), converse(X1)) = converse(X1))) & ((join(converse(X0), converse(X1)) = converse(X1)) => (join(X0, X1) = X1)))) <=> (~![X0: $i, X1: $i] : (((~(join(X0, X1) = X1)) | (join(converse(X0), converse(X1)) = converse(X1))) & ((~(join(converse(X0), converse(X1)) = converse(X1))) | (join(X0, X1) = X1))))),
% 0.22/0.42 inference(rewrite,[status(thm)],[])).
% 0.22/0.42 tff(18,axiom,(~![X0: $i, X1: $i] : (((join(X0, X1) = X1) => (join(converse(X0), converse(X1)) = converse(X1))) & ((join(converse(X0), converse(X1)) = converse(X1)) => (join(X0, X1) = X1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','goals')).
% 0.22/0.42 tff(19,plain,
% 0.22/0.42 (~![X0: $i, X1: $i] : (((~(join(X0, X1) = X1)) | (join(converse(X0), converse(X1)) = converse(X1))) & ((~(join(converse(X0), converse(X1)) = converse(X1))) | (join(X0, X1) = X1)))),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.22/0.42 tff(20,plain,
% 0.22/0.42 (~![X0: $i, X1: $i] : (((~(join(X0, X1) = X1)) | (join(converse(X0), converse(X1)) = converse(X1))) & ((~(join(converse(X0), converse(X1)) = converse(X1))) | (join(X0, X1) = X1)))),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[19, 16])).
% 0.22/0.42 tff(21,plain,
% 0.22/0.42 (~![X0: $i, X1: $i] : (((~(join(X0, X1) = X1)) | (join(converse(X0), converse(X1)) = converse(X1))) & ((~(join(converse(X0), converse(X1)) = converse(X1))) | (join(X0, X1) = X1)))),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[20, 16])).
% 0.22/0.42 tff(22,plain,
% 0.22/0.42 (~![X0: $i, X1: $i] : (((~(join(X0, X1) = X1)) | (join(converse(X0), converse(X1)) = converse(X1))) & ((~(join(converse(X0), converse(X1)) = converse(X1))) | (join(X0, X1) = X1)))),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[21, 16])).
% 0.22/0.42 tff(23,plain,
% 0.22/0.42 (~![X0: $i, X1: $i] : (((~(join(X0, X1) = X1)) | (join(converse(X0), converse(X1)) = converse(X1))) & ((~(join(converse(X0), converse(X1)) = converse(X1))) | (join(X0, X1) = X1)))),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[22, 16])).
% 0.22/0.42 tff(24,plain,
% 0.22/0.42 (~![X0: $i, X1: $i] : (((~(join(X0, X1) = X1)) | (join(converse(X0), converse(X1)) = converse(X1))) & ((~(join(converse(X0), converse(X1)) = converse(X1))) | (join(X0, X1) = X1)))),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[23, 16])).
% 0.22/0.42 tff(25,plain,
% 0.22/0.42 (~![X0: $i, X1: $i] : (((~(join(X0, X1) = X1)) | (join(converse(X0), converse(X1)) = converse(X1))) & ((~(join(converse(X0), converse(X1)) = converse(X1))) | (join(X0, X1) = X1)))),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[24, 16])).
% 0.22/0.42 tff(26,plain,(
% 0.22/0.42 ~(((~(join(X0!1, X1!0) = X1!0)) | (join(converse(X0!1), converse(X1!0)) = converse(X1!0))) & ((~(join(converse(X0!1), converse(X1!0)) = converse(X1!0))) | (join(X0!1, X1!0) = X1!0)))),
% 0.22/0.42 inference(skolemize,[status(sab)],[25])).
% 0.22/0.42 tff(27,plain,
% 0.22/0.42 ((~((~(join(X0!1, X1!0) = X1!0)) | (join(converse(X0!1), converse(X1!0)) = converse(X1!0)))) | (~((~(join(converse(X0!1), converse(X1!0)) = converse(X1!0))) | (join(X0!1, X1!0) = X1!0)))),
% 0.22/0.42 inference(modus_ponens,[status(thm)],[26, 15])).
% 0.22/0.42 tff(28,plain,
% 0.22/0.42 (~((~(join(X0!1, X1!0) = X1!0)) | (join(converse(X0!1), converse(X1!0)) = converse(X1!0)))),
% 0.22/0.42 inference(unit_resolution,[status(thm)],[27, 11])).
% 0.22/0.42 tff(29,plain,
% 0.22/0.42 (((~(join(X0!1, X1!0) = X1!0)) | (join(converse(X0!1), converse(X1!0)) = converse(X1!0))) | (join(X0!1, X1!0) = X1!0)),
% 0.22/0.42 inference(tautology,[status(thm)],[])).
% 0.22/0.42 tff(30,plain,
% 0.22/0.42 (join(X0!1, X1!0) = X1!0),
% 0.22/0.42 inference(unit_resolution,[status(thm)],[29, 28])).
% 0.22/0.42 tff(31,plain,
% 0.22/0.42 (X1!0 = join(X0!1, X1!0)),
% 0.22/0.42 inference(symmetry,[status(thm)],[30])).
% 0.22/0.42 tff(32,plain,
% 0.22/0.42 (converse(X1!0) = converse(join(X0!1, X1!0))),
% 0.22/0.42 inference(monotonicity,[status(thm)],[31])).
% 0.22/0.42 tff(33,plain,
% 0.22/0.42 (converse(join(X0!1, X1!0)) = converse(X1!0)),
% 0.22/0.42 inference(symmetry,[status(thm)],[32])).
% 0.22/0.42 tff(34,plain,
% 0.22/0.42 (^[X0: $i, X1: $i] : refl((converse(join(X0, X1)) = join(converse(X0), converse(X1))) <=> (converse(join(X0, X1)) = join(converse(X0), converse(X1))))),
% 0.22/0.42 inference(bind,[status(th)],[])).
% 0.22/0.42 tff(35,plain,
% 0.22/0.42 (![X0: $i, X1: $i] : (converse(join(X0, X1)) = join(converse(X0), converse(X1))) <=> ![X0: $i, X1: $i] : (converse(join(X0, X1)) = join(converse(X0), converse(X1)))),
% 0.22/0.42 inference(quant_intro,[status(thm)],[34])).
% 0.22/0.42 tff(36,plain,
% 0.22/0.42 (![X0: $i, X1: $i] : (converse(join(X0, X1)) = join(converse(X0), converse(X1))) <=> ![X0: $i, X1: $i] : (converse(join(X0, X1)) = join(converse(X0), converse(X1)))),
% 0.22/0.43 inference(rewrite,[status(thm)],[])).
% 0.22/0.43 tff(37,axiom,(![X0: $i, X1: $i] : (converse(join(X0, X1)) = join(converse(X0), converse(X1)))), file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax','converse_additivity')).
% 0.22/0.43 tff(38,plain,
% 0.22/0.43 (![X0: $i, X1: $i] : (converse(join(X0, X1)) = join(converse(X0), converse(X1)))),
% 0.22/0.43 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.22/0.43 tff(39,plain,(
% 0.22/0.43 ![X0: $i, X1: $i] : (converse(join(X0, X1)) = join(converse(X0), converse(X1)))),
% 0.22/0.43 inference(skolemize,[status(sab)],[38])).
% 0.22/0.43 tff(40,plain,
% 0.22/0.43 (![X0: $i, X1: $i] : (converse(join(X0, X1)) = join(converse(X0), converse(X1)))),
% 0.22/0.43 inference(modus_ponens,[status(thm)],[39, 35])).
% 0.22/0.43 tff(41,plain,
% 0.22/0.43 ((~![X0: $i, X1: $i] : (converse(join(X0, X1)) = join(converse(X0), converse(X1)))) | (converse(join(X0!1, X1!0)) = join(converse(X0!1), converse(X1!0)))),
% 0.22/0.43 inference(quant_inst,[status(thm)],[])).
% 0.22/0.43 tff(42,plain,
% 0.22/0.43 (converse(join(X0!1, X1!0)) = join(converse(X0!1), converse(X1!0))),
% 0.22/0.43 inference(unit_resolution,[status(thm)],[41, 40])).
% 0.22/0.43 tff(43,plain,
% 0.22/0.43 (join(converse(X0!1), converse(X1!0)) = converse(join(X0!1, X1!0))),
% 0.22/0.43 inference(symmetry,[status(thm)],[42])).
% 0.22/0.43 tff(44,plain,
% 0.22/0.43 (join(converse(X0!1), converse(X1!0)) = converse(X1!0)),
% 0.22/0.43 inference(transitivity,[status(thm)],[43, 33])).
% 0.22/0.43 tff(45,plain,
% 0.22/0.43 ($false),
% 0.22/0.43 inference(unit_resolution,[status(thm)],[9, 44])).
% 0.22/0.43 tff(46,plain,(join(converse(X0!1), converse(X1!0)) = converse(X1!0)), inference(lemma,lemma(discharge,[]))).
% 0.22/0.43 tff(47,plain,
% 0.22/0.43 (^[X0: $i, X1: $i] : refl((join(X0, X1) = join(X1, X0)) <=> (join(X0, X1) = join(X1, X0)))),
% 0.22/0.43 inference(bind,[status(th)],[])).
% 0.22/0.43 tff(48,plain,
% 0.22/0.43 (![X0: $i, X1: $i] : (join(X0, X1) = join(X1, X0)) <=> ![X0: $i, X1: $i] : (join(X0, X1) = join(X1, X0))),
% 0.22/0.43 inference(quant_intro,[status(thm)],[47])).
% 0.22/0.43 tff(49,plain,
% 0.22/0.43 (![X0: $i, X1: $i] : (join(X0, X1) = join(X1, X0)) <=> ![X0: $i, X1: $i] : (join(X0, X1) = join(X1, X0))),
% 0.22/0.43 inference(rewrite,[status(thm)],[])).
% 0.22/0.43 tff(50,axiom,(![X0: $i, X1: $i] : (join(X0, X1) = join(X1, X0))), file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax','maddux1_join_commutativity')).
% 0.22/0.43 tff(51,plain,
% 0.22/0.43 (![X0: $i, X1: $i] : (join(X0, X1) = join(X1, X0))),
% 0.22/0.43 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.22/0.43 tff(52,plain,(
% 0.22/0.43 ![X0: $i, X1: $i] : (join(X0, X1) = join(X1, X0))),
% 0.22/0.43 inference(skolemize,[status(sab)],[51])).
% 0.22/0.43 tff(53,plain,
% 0.22/0.43 (![X0: $i, X1: $i] : (join(X0, X1) = join(X1, X0))),
% 0.22/0.43 inference(modus_ponens,[status(thm)],[52, 48])).
% 0.22/0.43 tff(54,plain,
% 0.22/0.43 ((~![X0: $i, X1: $i] : (join(X0, X1) = join(X1, X0))) | (join(converse(X0!1), converse(X1!0)) = join(converse(X1!0), converse(X0!1)))),
% 0.22/0.43 inference(quant_inst,[status(thm)],[])).
% 0.22/0.43 tff(55,plain,
% 0.22/0.43 (join(converse(X0!1), converse(X1!0)) = join(converse(X1!0), converse(X0!1))),
% 0.22/0.43 inference(unit_resolution,[status(thm)],[54, 53])).
% 0.22/0.43 tff(56,plain,
% 0.22/0.43 (join(converse(X1!0), converse(X0!1)) = join(converse(X0!1), converse(X1!0))),
% 0.22/0.43 inference(symmetry,[status(thm)],[55])).
% 0.22/0.43 tff(57,plain,
% 0.22/0.43 (join(converse(X1!0), converse(X0!1)) = converse(X1!0)),
% 0.22/0.43 inference(transitivity,[status(thm)],[56, 46])).
% 0.22/0.43 tff(58,plain,
% 0.22/0.43 (converse(join(converse(X1!0), converse(X0!1))) = converse(converse(X1!0))),
% 0.22/0.43 inference(monotonicity,[status(thm)],[57])).
% 0.22/0.43 tff(59,plain,
% 0.22/0.43 ((~![X0: $i, X1: $i] : (converse(join(X0, X1)) = join(converse(X0), converse(X1)))) | (converse(join(converse(X1!0), converse(X0!1))) = join(converse(converse(X1!0)), converse(converse(X0!1))))),
% 0.22/0.43 inference(quant_inst,[status(thm)],[])).
% 0.22/0.43 tff(60,plain,
% 0.22/0.43 (converse(join(converse(X1!0), converse(X0!1))) = join(converse(converse(X1!0)), converse(converse(X0!1)))),
% 0.22/0.43 inference(unit_resolution,[status(thm)],[59, 40])).
% 0.22/0.43 tff(61,plain,
% 0.22/0.43 (join(converse(converse(X1!0)), converse(converse(X0!1))) = converse(join(converse(X1!0), converse(X0!1)))),
% 0.22/0.43 inference(symmetry,[status(thm)],[60])).
% 0.22/0.43 tff(62,plain,
% 0.22/0.43 ((~![X0: $i] : (converse(converse(X0)) = X0)) | (converse(converse(X0!1)) = X0!1)),
% 0.22/0.43 inference(quant_inst,[status(thm)],[])).
% 0.22/0.43 tff(63,plain,
% 0.22/0.43 (converse(converse(X0!1)) = X0!1),
% 0.22/0.43 inference(unit_resolution,[status(thm)],[62, 6])).
% 0.22/0.43 tff(64,plain,
% 0.22/0.43 (X0!1 = converse(converse(X0!1))),
% 0.22/0.43 inference(symmetry,[status(thm)],[63])).
% 0.22/0.43 tff(65,plain,
% 0.22/0.43 (X1!0 = converse(converse(X1!0))),
% 0.22/0.43 inference(symmetry,[status(thm)],[8])).
% 0.22/0.43 tff(66,plain,
% 0.22/0.43 (join(X1!0, X0!1) = join(converse(converse(X1!0)), converse(converse(X0!1)))),
% 0.22/0.43 inference(monotonicity,[status(thm)],[65, 64])).
% 0.22/0.43 tff(67,plain,
% 0.22/0.43 ((~![X0: $i, X1: $i] : (join(X0, X1) = join(X1, X0))) | (join(X0!1, X1!0) = join(X1!0, X0!1))),
% 0.22/0.43 inference(quant_inst,[status(thm)],[])).
% 0.22/0.43 tff(68,plain,
% 0.22/0.43 (join(X0!1, X1!0) = join(X1!0, X0!1)),
% 0.22/0.43 inference(unit_resolution,[status(thm)],[67, 53])).
% 0.22/0.43 tff(69,plain,
% 0.22/0.43 (join(X0!1, X1!0) = X1!0),
% 0.22/0.43 inference(transitivity,[status(thm)],[68, 66, 61, 58, 8])).
% 0.22/0.43 tff(70,plain,
% 0.22/0.43 (((~(join(X0!1, X1!0) = X1!0)) | (join(converse(X0!1), converse(X1!0)) = converse(X1!0))) | (~(join(converse(X0!1), converse(X1!0)) = converse(X1!0)))),
% 0.22/0.43 inference(tautology,[status(thm)],[])).
% 0.22/0.43 tff(71,plain,
% 0.22/0.43 ((~(join(X0!1, X1!0) = X1!0)) | (join(converse(X0!1), converse(X1!0)) = converse(X1!0))),
% 0.22/0.43 inference(unit_resolution,[status(thm)],[70, 46])).
% 0.22/0.43 tff(72,plain,
% 0.22/0.43 (~((~(join(converse(X0!1), converse(X1!0)) = converse(X1!0))) | (join(X0!1, X1!0) = X1!0))),
% 0.22/0.43 inference(unit_resolution,[status(thm)],[27, 71])).
% 0.22/0.43 tff(73,plain,
% 0.22/0.43 (((~(join(converse(X0!1), converse(X1!0)) = converse(X1!0))) | (join(X0!1, X1!0) = X1!0)) | (~(join(X0!1, X1!0) = X1!0))),
% 0.22/0.43 inference(tautology,[status(thm)],[])).
% 0.22/0.43 tff(74,plain,
% 0.22/0.43 (~(join(X0!1, X1!0) = X1!0)),
% 0.22/0.43 inference(unit_resolution,[status(thm)],[73, 72])).
% 0.22/0.43 tff(75,plain,
% 0.22/0.43 ($false),
% 0.22/0.43 inference(unit_resolution,[status(thm)],[74, 69])).
% 0.22/0.43 % SZS output end Proof
%------------------------------------------------------------------------------