%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : REL007-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:36:33 PM UTC 2026
% Result : Unsatisfiable 16.91s 3.29s
% Output : CNFRefutation 16.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 14
% Syntax : Number of formulae : 135 ( 135 unt; 0 def)
% Number of atoms : 135 ( 134 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 149 ( 0 sgn 149 !; 0 ?; 120 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux2_join_associativity_2) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux3_a_kind_of_de_Morgan_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux4_definiton_of_meet_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_associativity_5) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).
fof(f13,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_cancellativity_11) ).
fof(f14,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_zero_13) ).
fof(f17,negated_conjecture,
meet(sk1,converse(sk2)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
zero = meet(sk1,converse(sk2)),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
meet(converse(sk1),sk2) != zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
fof(f20,plain,
zero != meet(converse(sk1),sk2),
inference(reorient_equations,[],[f19]) ).
fof(f21,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f22,plain,
zero = complement(join(complement(sk1),complement(converse(sk2)))),
inference(definition_unfolding,[],[f18,f6]) ).
fof(f23,plain,
zero != complement(join(complement(converse(sk1)),complement(sk2))),
inference(definition_unfolding,[],[f20,f6]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_68,plain,
! [X0: $i] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f8]) ).
tcf(c_70,plain,
! [X0: $i] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f10]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] : join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(cnf_transformation,[],[f11]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] : composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[],[f14]) ).
tcf(c_74,plain,
! [X0: $i] : join(X0,complement(X0)) = top,
inference(cnf_transformation,[],[f15]) ).
tcf(c_75,plain,
! [X0: $i] : complement(join(complement(X0),complement(complement(X0)))) = zero,
inference(cnf_transformation,[],[f21]) ).
tcf(c_76,negated_conjecture,
complement(join(complement(sk1),complement(converse(sk2)))) = zero,
inference(cnf_transformation,[],[f22]) ).
tcf(c_77,negated_conjecture,
complement(join(complement(converse(sk1)),complement(sk2))) != zero,
inference(cnf_transformation,[],[f23]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_65,c_64]) ).
tcf(c_99,plain,
complement(join(complement(sk2),complement(converse(sk1)))) != zero,
inference(theory_normalisation,[status(thm)],[c_77,c_65,c_64]) ).
tcf(c_101,plain,
complement(top) = zero,
inference(superposition,[status(thm)],[c_74,c_75]) ).
tcf(c_107,plain,
! [X0: $i] : join(join(complement(X0),complement(complement(X0))),zero) = top,
inference(superposition,[status(thm)],[c_75,c_74]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_70,c_71]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_70,c_71]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_70,c_72]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(X0),join(converse(X1),X2)) = join(converse(join(X0,X1)),X2),
inference(superposition,[status(thm)],[c_71,c_65]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_74,c_65]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i] : composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_68,c_67]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(X0))) = join(X1,top),
inference(superposition,[status(thm)],[c_74,c_84]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_73,c_65,c_64]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_66,c_65,c_64]) ).
tcf(c_163,plain,
! [X0: $i] : join(complement(join(complement(X0),complement(X0))),zero) = X0,
inference(superposition,[status(thm)],[c_75,c_151]) ).
tcf(c_164,plain,
join(complement(join(complement(sk1),converse(sk2))),zero) = sk1,
inference(superposition,[status(thm)],[c_76,c_151]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),join(complement(X1),complement(complement(X1))))),complement(join(complement(X0),zero))) = X0,
inference(superposition,[status(thm)],[c_75,c_151]) ).
tcf(c_179,plain,
join(zero,complement(join(complement(sk1),converse(sk2)))) = sk1,
inference(theory_normalisation,[status(thm)],[c_164,c_65,c_64]) ).
tcf(c_180,plain,
! [X0: $i] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_163,c_65,c_64]) ).
tcf(c_181,plain,
! [X0: $i] : join(zero,join(complement(X0),complement(complement(X0)))) = top,
inference(theory_normalisation,[status(thm)],[c_107,c_65,c_64]) ).
tcf(c_182,plain,
join(zero,top) = top,
inference(demodulation,[status(thm)],[c_181,c_74]) ).
tcf(c_189,plain,
! [X0: $i,X1: $i] : join(complement(join(zero,complement(X0))),complement(join(complement(X0),join(complement(X1),complement(complement(X1)))))) = X0,
inference(theory_normalisation,[status(thm)],[c_171,c_65,c_64]) ).
tcf(c_190,plain,
! [X0: $i] : join(complement(join(zero,complement(X0))),complement(join(top,complement(X0)))) = X0,
inference(demodulation,[status(thm)],[c_189,c_64,c_74]) ).
tcf(c_347,plain,
! [X0: $i,X1: $i] : converse(join(X0,converse(X1))) = join(X1,converse(X0)),
inference(superposition,[status(thm)],[c_64,c_110]) ).
tcf(c_351,plain,
! [X0: $i] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[status(thm)],[c_74,c_110]) ).
tcf(c_395,plain,
! [X0: $i] : composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_68,c_115]) ).
tcf(c_418,plain,
! [X0: $i] : join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[status(thm)],[c_74,c_118]) ).
tcf(c_425,plain,
! [X0: $i] : join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_101,c_118]) ).
tcf(c_471,plain,
! [X0: $i,X1: $i] : join(join(complement(X0),complement(X1)),X0) = join(complement(join(complement(X0),X1)),top),
inference(superposition,[status(thm)],[c_151,c_127]) ).
tcf(c_474,plain,
! [X0: $i] : join(top,join(X0,zero)) = join(X0,top),
inference(superposition,[status(thm)],[c_101,c_127]) ).
tcf(c_490,plain,
join(join(complement(sk1),converse(sk2)),sk1) = join(zero,top),
inference(superposition,[status(thm)],[c_179,c_127]) ).
tcf(c_501,plain,
! [X0: $i] : join(join(complement(X0),complement(X0)),X0) = join(zero,top),
inference(superposition,[status(thm)],[c_180,c_127]) ).
tcf(c_598,plain,
join(complement(sk1),complement(join(top,complement(join(complement(sk1),converse(sk2)))))) = join(complement(sk1),converse(sk2)),
inference(superposition,[status(thm)],[c_179,c_190]) ).
tcf(c_617,plain,
! [X0: $i] : composition(converse(one),X0) = X0,
inference(demodulation,[status(thm)],[c_395,c_70]) ).
tcf(c_620,plain,
! [X0: $i] : join(zero,join(X0,top)) = join(X0,top),
inference(theory_normalisation,[status(thm)],[c_474,c_65,c_64]) ).
tcf(c_621,plain,
! [X0: $i] : join(zero,join(X0,top)) = join(top,X0),
inference(theory_normalisation,[status(thm)],[c_425,c_65,c_64]) ).
tcf(c_637,plain,
! [X0: $i] : join(X0,join(complement(X0),complement(X0))) = join(zero,top),
inference(theory_normalisation,[status(thm)],[c_501,c_65,c_64]) ).
tcf(c_638,plain,
! [X0: $i] : join(top,complement(X0)) = join(zero,top),
inference(demodulation,[status(thm)],[c_637,c_118]) ).
tcf(c_639,plain,
! [X0: $i] : join(top,complement(X0)) = top,
inference(light_normalisation,[status(thm)],[c_638,c_182]) ).
tcf(c_640,plain,
join(sk1,join(complement(sk1),converse(sk2))) = join(zero,top),
inference(theory_normalisation,[status(thm)],[c_490,c_65,c_64]) ).
tcf(c_641,plain,
join(top,converse(sk2)) = join(zero,top),
inference(demodulation,[status(thm)],[c_640,c_118]) ).
tcf(c_642,plain,
join(top,converse(sk2)) = top,
inference(light_normalisation,[status(thm)],[c_641,c_182]) ).
tcf(c_715,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),complement(X1))) = join(top,complement(join(complement(X0),X1))),
inference(theory_normalisation,[status(thm)],[c_471,c_65,c_64]) ).
tcf(c_716,plain,
! [X0: $i,X1: $i] : join(top,complement(join(complement(X0),X1))) = join(top,complement(X1)),
inference(demodulation,[status(thm)],[c_715,c_118]) ).
tcf(c_777,plain,
join(complement(sk1),converse(sk2)) = join(complement(sk1),complement(top)),
inference(demodulation,[status(thm)],[c_598,c_639,c_716]) ).
tcf(c_778,plain,
join(complement(sk1),converse(sk2)) = join(complement(sk1),zero),
inference(light_normalisation,[status(thm)],[c_777,c_101]) ).
tcf(c_779,plain,
join(complement(sk1),converse(sk2)) = join(zero,complement(sk1)),
inference(theory_normalisation,[status(thm)],[c_778,c_65,c_64]) ).
tcf(c_796,plain,
! [X0: $i] : join(complement(join(zero,complement(X0))),complement(top)) = X0,
inference(demodulation,[status(thm)],[c_190,c_639]) ).
tcf(c_797,plain,
! [X0: $i] : join(complement(top),complement(join(zero,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_796,c_65,c_64]) ).
tcf(c_798,plain,
! [X0: $i] : join(zero,complement(join(zero,complement(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_797,c_101]) ).
tcf(c_1382,plain,
! [X0: $i] : composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_617,c_121]) ).
tcf(c_1383,plain,
! [X0: $i] : join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(superposition,[status(thm)],[c_617,c_141]) ).
tcf(c_1400,plain,
join(converse(top),sk2) = converse(top),
inference(superposition,[status(thm)],[c_642,c_111]) ).
tcf(c_1439,plain,
! [X0: $i] : join(top,converse(complement(converse(complement(X0))))) = join(X0,converse(top)),
inference(superposition,[status(thm)],[c_351,c_118]) ).
tcf(c_1455,plain,
! [X0: $i] : join(X0,top) = top,
inference(superposition,[status(thm)],[c_418,c_639]) ).
tcf(c_1509,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,X1)),complement(converse(X0))) = join(converse(X1),top),
inference(superposition,[status(thm)],[c_117,c_127]) ).
tcf(c_1563,plain,
! [X0: $i] : join(X0,top) = join(top,X0),
inference(superposition,[status(thm)],[c_621,c_620]) ).
tcf(c_1583,plain,
! [X0: $i] : join(top,X0) = top,
inference(demodulation,[status(thm)],[c_1563,c_1455]) ).
tcf(c_1584,plain,
join(sk2,converse(top)) = converse(top),
inference(theory_normalisation,[status(thm)],[c_1400,c_65,c_64]) ).
tcf(c_1585,plain,
! [X0: $i] : composition(one,X0) = X0,
inference(demodulation,[status(thm)],[c_1382,c_617]) ).
tcf(c_1591,plain,
! [X0: $i] : join(complement(X0),complement(X0)) = complement(X0),
inference(demodulation,[status(thm)],[c_1383,c_1585]) ).
tcf(c_1604,plain,
! [X0: $i] : join(X0,converse(top)) = top,
inference(demodulation,[status(thm)],[c_1439,c_1583]) ).
tcf(c_1624,plain,
! [X0: $i,X1: $i] : join(converse(join(X0,X1)),complement(converse(X0))) = top,
inference(demodulation,[status(thm)],[c_1509,c_1455]) ).
tcf(c_1625,plain,
! [X0: $i,X1: $i] : join(complement(converse(X0)),converse(join(X0,X1))) = top,
inference(theory_normalisation,[status(thm)],[c_1624,c_65,c_64]) ).
tcf(c_1699,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(X0))) = top,
inference(demodulation,[status(thm)],[c_127,c_1455]) ).
tcf(c_1708,plain,
! [X0: $i] : join(zero,complement(complement(X0))) = X0,
inference(demodulation,[status(thm)],[c_180,c_1591]) ).
tcf(c_1879,plain,
converse(top) = top,
inference(superposition,[status(thm)],[c_1584,c_1604]) ).
tcf(c_1895,plain,
! [X0: $i] : join(zero,complement(X0)) = complement(X0),
inference(superposition,[status(thm)],[c_1708,c_798]) ).
tcf(c_2030,plain,
! [X0: $i] : join(X0,converse(complement(converse(X0)))) = top,
inference(demodulation,[status(thm)],[c_351,c_1879]) ).
tcf(c_2033,plain,
! [X0: $i] : complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_1708,c_1895]) ).
tcf(c_2093,plain,
! [X0: $i] : join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_2033,c_1895]) ).
tcf(c_2138,plain,
! [X0: $i,X1: $i] : join(complement(top),complement(join(complement(X0),complement(join(X1,complement(complement(X0))))))) = X0,
inference(superposition,[status(thm)],[c_1699,c_151]) ).
tcf(c_2193,plain,
! [X0: $i] : join(complement(top),complement(join(complement(X0),complement(converse(complement(converse(complement(X0)))))))) = X0,
inference(superposition,[status(thm)],[c_2030,c_151]) ).
tcf(c_2522,plain,
! [X0: $i] : join(zero,complement(join(complement(X0),complement(converse(complement(converse(complement(X0)))))))) = X0,
inference(light_normalisation,[status(thm)],[c_2193,c_101]) ).
tcf(c_2523,plain,
! [X0: $i] : complement(join(complement(X0),complement(converse(complement(converse(complement(X0))))))) = X0,
inference(ac_demodulation,[status(thm)],[c_2522,c_1895,c_65,c_64]) ).
tcf(c_2529,plain,
! [X0: $i,X1: $i] : join(complement(top),complement(join(complement(X0),complement(join(X1,X0))))) = X0,
inference(demodulation,[status(thm)],[c_2138,c_2033]) ).
tcf(c_2530,plain,
! [X0: $i,X1: $i] : join(zero,complement(join(complement(X0),complement(join(X1,X0))))) = X0,
inference(light_normalisation,[status(thm)],[c_2529,c_101]) ).
tcf(c_2531,plain,
! [X0: $i,X1: $i] : complement(join(complement(X0),complement(join(X1,X0)))) = X0,
inference(ac_demodulation,[status(thm)],[c_2530,c_1895,c_65,c_64]) ).
tcf(c_4100,plain,
converse(join(zero,complement(sk1))) = join(sk2,converse(complement(sk1))),
inference(superposition,[status(thm)],[c_779,c_347]) ).
tcf(c_4201,plain,
join(sk2,converse(complement(sk1))) = converse(complement(sk1)),
inference(demodulation,[status(thm)],[c_4100,c_2093]) ).
tcf(c_4758,plain,
join(converse(sk2),complement(sk1)) = converse(converse(complement(sk1))),
inference(superposition,[status(thm)],[c_4201,c_111]) ).
tcf(c_5039,plain,
join(complement(sk1),converse(sk2)) = converse(converse(complement(sk1))),
inference(theory_normalisation,[status(thm)],[c_4758,c_65,c_64]) ).
tcf(c_5040,plain,
join(complement(sk1),converse(sk2)) = complement(sk1),
inference(demodulation,[status(thm)],[c_5039,c_70]) ).
tcf(c_6099,plain,
complement(join(complement(converse(sk2)),complement(complement(sk1)))) = converse(sk2),
inference(superposition,[status(thm)],[c_5040,c_2531]) ).
tcf(c_6130,plain,
! [X0: $i,X1: $i] : join(complement(X0),complement(join(X1,X0))) = complement(X0),
inference(superposition,[status(thm)],[c_2531,c_2033]) ).
tcf(c_6195,plain,
complement(join(complement(complement(sk1)),complement(converse(sk2)))) = converse(sk2),
inference(theory_normalisation,[status(thm)],[c_6099,c_65,c_64]) ).
tcf(c_6196,plain,
complement(join(sk1,complement(converse(sk2)))) = converse(sk2),
inference(demodulation,[status(thm)],[c_6195,c_2033]) ).
tcf(c_7173,plain,
join(sk1,complement(converse(sk2))) = complement(converse(sk2)),
inference(superposition,[status(thm)],[c_6196,c_2033]) ).
tcf(c_7426,plain,
! [X0: $i,X1: $i] : join(X0,complement(join(X1,complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_2033,c_6130]) ).
tcf(c_7803,plain,
join(complement(converse(sk1)),converse(complement(converse(sk2)))) = top,
inference(superposition,[status(thm)],[c_7173,c_1625]) ).
tcf(c_7917,plain,
! [X0: $i,X1: $i] : join(X0,converse(complement(join(X1,complement(converse(X0)))))) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_7426,c_110]) ).
tcf(c_8237,plain,
! [X0: $i,X1: $i] : join(X0,converse(complement(join(X1,complement(converse(X0)))))) = X0,
inference(demodulation,[status(thm)],[c_7917,c_70]) ).
tcf(c_31231,plain,
! [X0: $i] : complement(join(X0,complement(converse(complement(converse(X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_2033,c_2523]) ).
tcf(c_31303,plain,
! [X0: $i] : join(complement(converse(complement(X0))),converse(X0)) = complement(converse(complement(X0))),
inference(superposition,[status(thm)],[c_2523,c_8237]) ).
tcf(c_31332,plain,
! [X0: $i] : join(converse(X0),complement(converse(complement(X0)))) = complement(converse(complement(X0))),
inference(theory_normalisation,[status(thm)],[c_31303,c_65,c_64]) ).
tcf(c_32538,plain,
! [X0: $i] : complement(join(converse(X0),complement(converse(complement(X0))))) = complement(converse(X0)),
inference(superposition,[status(thm)],[c_70,c_31231]) ).
tcf(c_32663,plain,
! [X0: $i] : converse(complement(X0)) = complement(converse(X0)),
inference(demodulation,[status(thm)],[c_32538,c_2033,c_31332]) ).
tcf(c_32880,plain,
join(complement(converse(sk1)),complement(converse(converse(sk2)))) = top,
inference(demodulation,[status(thm)],[c_7803,c_32663]) ).
tcf(c_32925,plain,
join(complement(sk2),complement(converse(sk1))) = top,
inference(demodulation,[status(thm)],[c_32880,c_64,c_70]) ).
tcf(c_32926,plain,
complement(top) != zero,
inference(demodulation,[status(thm)],[c_99,c_32925]) ).
tcf(c_32927,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_32926,c_101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL007-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.43 % Computer : n013.cluster.edu
% 0.10/0.43 % Model : x86_64 x86_64
% 0.10/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.43 % Memory : 8046.5625MB
% 0.10/0.43 % OS : Linux 6.8.0-71-generic
% 0.10/0.43 % CPULimit : 300
% 0.10/0.43 % WCLimit : 300
% 0.10/0.43 % DateTime : Thu Sep 24 07:09:36 UTC 2026
% 0.10/0.43 % CPUTime :
% 0.10/0.43 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.47 Running UEQ theorem proving
% 0.14/0.47 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.48
% 0.14/0.48 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.48
% 0.14/0.48 % Detected problem language: tptp
% 0.14/0.49 % Proving...
% 16.91/3.29 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 16.91/3.29 % SZS status Started for theBenchmark.p
% 16.91/3.29 % SZS status Unsatisfiable for theBenchmark.p
% 16.91/3.29
% 16.91/3.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 16.91/3.29
% 16.91/3.29 % ------ iProver source info
% 16.91/3.29
% 16.91/3.29 % git: date: 2026-07-19 20:42:38 +0200
% 16.91/3.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 16.91/3.29 % git: non_committed_changes: false
% 16.91/3.29
% 16.91/3.29 % ------ Parsing...% successful
% 16.91/3.29
% 16.91/3.29
% 16.91/3.29 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 16.91/3.29 % ------ Proving...
% 16.91/3.29 % ------ Problem Properties
% 16.91/3.29
% 16.91/3.29 %
% 16.91/3.29 % clauses 14
% 16.91/3.29 % conjectures 2
% 16.91/3.29 % EPR 0
% 16.91/3.29 % Horn 14
% 16.91/3.29 % unary 14
% 16.91/3.29 % binary 0
% 16.91/3.29 % lits 14
% 16.91/3.29 % lits eq 14
% 16.91/3.29 % fd_pure 0
% 16.91/3.29 % fd_pseudo 0
% 16.91/3.29 % fd_cond 0
% 16.91/3.29 % fd_pseudo_cond 0
% 16.91/3.29 % AC symbols 1
% 16.91/3.29
% 16.91/3.29 % ------ Input Options Time Limit: Unbounded
% 16.91/3.29
% 16.91/3.29
% 16.91/3.29 % ------
% 16.91/3.29 % Current options:
% 16.91/3.29 % ------
% 16.91/3.29
% 16.91/3.29
% 16.91/3.29 %
% 16.91/3.29
% 16.91/3.29 % ------ Proving...
% 16.91/3.29 %
% 16.91/3.29
% 16.91/3.29 % SZS status Unsatisfiable for theBenchmark.p
% 16.91/3.29
% 16.91/3.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 16.91/3.29
% 16.91/3.29
%------------------------------------------------------------------------------