TSTP Solution File: REL050+2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : REL050+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 : Thu Aug 31 13:41:09 EDT 2023
% Result : Theorem 215.86s 29.43s
% Output : CNFRefutation 215.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 15
% Syntax : Number of formulae : 130 ( 120 unt; 0 def)
% Number of atoms : 142 ( 141 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 21 ~; 9 |; 2 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 176 ( 6 sgn; 53 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0] :
( complement(composition(X0,top)) = join(composition(complement(composition(X0,top)),top),complement(composition(X0,top)))
& composition(complement(composition(X0,top)),top) = join(complement(composition(X0,top)),composition(complement(composition(X0,top)),top)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0] :
( complement(composition(X0,top)) = join(composition(complement(composition(X0,top)),top),complement(composition(X0,top)))
& composition(complement(composition(X0,top)),top) = join(complement(composition(X0,top)),composition(complement(composition(X0,top)),top)) ),
inference(negated_conjecture,[],[f14]) ).
fof(f16,plain,
? [X0] :
( complement(composition(X0,top)) != join(composition(complement(composition(X0,top)),top),complement(composition(X0,top)))
| composition(complement(composition(X0,top)),top) != join(complement(composition(X0,top)),composition(complement(composition(X0,top)),top)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( ? [X0] :
( complement(composition(X0,top)) != join(composition(complement(composition(X0,top)),top),complement(composition(X0,top)))
| composition(complement(composition(X0,top)),top) != join(complement(composition(X0,top)),composition(complement(composition(X0,top)),top)) )
=> ( complement(composition(sK0,top)) != join(composition(complement(composition(sK0,top)),top),complement(composition(sK0,top)))
| composition(complement(composition(sK0,top)),top) != join(complement(composition(sK0,top)),composition(complement(composition(sK0,top)),top)) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( complement(composition(sK0,top)) != join(composition(complement(composition(sK0,top)),top),complement(composition(sK0,top)))
| composition(complement(composition(sK0,top)),top) != join(complement(composition(sK0,top)),composition(complement(composition(sK0,top)),top)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
fof(f19,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f20,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f21,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f22,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f23,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f24,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f25,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f26,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f27,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f28,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f29,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f30,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f31,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f32,plain,
( complement(composition(sK0,top)) != join(composition(complement(composition(sK0,top)),top),complement(composition(sK0,top)))
| composition(complement(composition(sK0,top)),top) != join(complement(composition(sK0,top)),composition(complement(composition(sK0,top)),top)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f33,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f31,f22]) ).
cnf(c_49,plain,
join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f19]) ).
cnf(c_50,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f20]) ).
cnf(c_51,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f21]) ).
cnf(c_52,plain,
composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(cnf_transformation,[],[f23]) ).
cnf(c_53,plain,
composition(X0,one) = X0,
inference(cnf_transformation,[],[f24]) ).
cnf(c_54,plain,
join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,X2),X1),
inference(cnf_transformation,[],[f25]) ).
cnf(c_55,plain,
converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f26]) ).
cnf(c_56,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(cnf_transformation,[],[f27]) ).
cnf(c_57,plain,
composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(cnf_transformation,[],[f28]) ).
cnf(c_58,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[],[f29]) ).
cnf(c_59,plain,
join(X0,complement(X0)) = top,
inference(cnf_transformation,[],[f30]) ).
cnf(c_60,plain,
complement(join(complement(X0),complement(complement(X0)))) = zero,
inference(cnf_transformation,[],[f33]) ).
cnf(c_61,negated_conjecture,
( join(composition(complement(composition(sK0,top)),top),complement(composition(sK0,top))) != complement(composition(sK0,top))
| join(complement(composition(sK0,top)),composition(complement(composition(sK0,top)),top)) != composition(complement(composition(sK0,top)),top) ),
inference(cnf_transformation,[],[f32]) ).
cnf(c_74,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_51,c_50,c_49]) ).
cnf(c_75,plain,
join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_58,c_50,c_49]) ).
cnf(c_76,negated_conjecture,
( join(complement(composition(sK0,top)),composition(complement(composition(sK0,top)),top)) != composition(complement(composition(sK0,top)),top)
| join(complement(composition(sK0,top)),composition(complement(composition(sK0,top)),top)) != complement(composition(sK0,top)) ),
inference(theory_normalisation,[status(thm)],[c_61,c_50,c_49]) ).
cnf(c_107,plain,
complement(top) = zero,
inference(demodulation,[status(thm)],[c_60,c_59]) ).
cnf(c_207,plain,
join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)) = join(complement(X0),X1),
inference(superposition,[status(thm)],[c_74,c_74]) ).
cnf(c_213,plain,
join(complement(X0),complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))) = join(complement(X0),X1),
inference(theory_normalisation,[status(thm)],[c_207,c_50,c_49]) ).
cnf(c_937,plain,
converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_1028,plain,
converse(join(converse(X0),X1)) = join(converse(X1),X0),
inference(superposition,[status(thm)],[c_49,c_937]) ).
cnf(c_14702,plain,
composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_53,c_52]) ).
cnf(c_14706,plain,
join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_59,c_50]) ).
cnf(c_14711,plain,
converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_55,c_57]) ).
cnf(c_15052,plain,
join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[status(thm)],[c_59,c_14706]) ).
cnf(c_15355,plain,
composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_53,c_14711]) ).
cnf(c_15388,plain,
composition(converse(one),X0) = X0,
inference(demodulation,[status(thm)],[c_15355,c_55]) ).
cnf(c_15396,plain,
converse(one) = one,
inference(superposition,[status(thm)],[c_15388,c_53]) ).
cnf(c_15403,plain,
composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_15388,c_14702]) ).
cnf(c_15405,plain,
composition(one,X0) = X0,
inference(demodulation,[status(thm)],[c_15403,c_15388]) ).
cnf(c_15425,plain,
join(complement(X0),composition(one,complement(composition(one,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_15396,c_75]) ).
cnf(c_15433,plain,
join(complement(X0),complement(X0)) = complement(X0),
inference(demodulation,[status(thm)],[c_15425,c_15405]) ).
cnf(c_15465,plain,
join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[status(thm)],[c_15433,c_14706]) ).
cnf(c_15468,plain,
join(top,complement(X0)) = top,
inference(demodulation,[status(thm)],[c_15465,c_59]) ).
cnf(c_15474,plain,
join(X0,top) = top,
inference(demodulation,[status(thm)],[c_15052,c_15468]) ).
cnf(c_15587,plain,
join(converse(top),X0) = converse(top),
inference(superposition,[status(thm)],[c_15474,c_1028]) ).
cnf(c_184317,plain,
converse(top) = top,
inference(superposition,[status(thm)],[c_15587,c_59]) ).
cnf(c_184318,plain,
join(top,X0) = top,
inference(demodulation,[status(thm)],[c_15587,c_184317]) ).
cnf(c_184330,plain,
join(complement(join(complement(X0),top)),complement(join(complement(X0),zero))) = X0,
inference(superposition,[status(thm)],[c_107,c_74]) ).
cnf(c_184335,plain,
join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_184330,c_50,c_49]) ).
cnf(c_184336,plain,
join(zero,complement(join(zero,complement(X0)))) = X0,
inference(demodulation,[status(thm)],[c_184335,c_107,c_184318]) ).
cnf(c_184341,plain,
composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_53,c_52]) ).
cnf(c_184344,plain,
join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_59,c_50]) ).
cnf(c_184347,plain,
join(X0,join(complement(X0),X1)) = top,
inference(demodulation,[status(thm)],[c_184344,c_184318]) ).
cnf(c_184348,plain,
join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero,
inference(superposition,[status(thm)],[c_107,c_75]) ).
cnf(c_184355,plain,
converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_55,c_57]) ).
cnf(c_184360,plain,
composition(converse(X0),top) = converse(composition(top,X0)),
inference(superposition,[status(thm)],[c_184317,c_57]) ).
cnf(c_184424,plain,
join(complement(X0),complement(join(complement(X0),join(complement(composition(converse(X1),complement(composition(X1,X0)))),complement(complement(X0)))))) = complement(X0),
inference(superposition,[status(thm)],[c_75,c_213]) ).
cnf(c_184447,plain,
join(complement(X0),complement(join(complement(X0),join(complement(complement(X0)),complement(composition(converse(X1),complement(composition(X1,X0)))))))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_184424,c_50,c_49]) ).
cnf(c_184448,plain,
join(complement(X0),zero) = complement(X0),
inference(demodulation,[status(thm)],[c_184447,c_107,c_184347]) ).
cnf(c_184461,plain,
join(converse(X0),converse(X1)) = converse(join(X1,X0)),
inference(superposition,[status(thm)],[c_56,c_49]) ).
cnf(c_184475,plain,
composition(converse(one),top) = converse(top),
inference(superposition,[status(thm)],[c_53,c_184360]) ).
cnf(c_184482,plain,
composition(converse(one),top) = top,
inference(demodulation,[status(thm)],[c_184475,c_184317]) ).
cnf(c_184487,plain,
composition(join(X0,converse(one)),top) = join(composition(X0,top),top),
inference(superposition,[status(thm)],[c_184482,c_54]) ).
cnf(c_184490,plain,
composition(join(X0,converse(one)),top) = join(top,composition(X0,top)),
inference(theory_normalisation,[status(thm)],[c_184487,c_50,c_49]) ).
cnf(c_184491,plain,
composition(join(X0,converse(one)),top) = top,
inference(demodulation,[status(thm)],[c_184490,c_184318]) ).
cnf(c_184493,plain,
join(zero,complement(X0)) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_184448,c_50,c_49]) ).
cnf(c_184494,plain,
join(zero,complement(complement(X0))) = X0,
inference(demodulation,[status(thm)],[c_184336,c_184493]) ).
cnf(c_184495,plain,
complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_184494,c_184493]) ).
cnf(c_184499,plain,
complement(zero) = top,
inference(superposition,[status(thm)],[c_184493,c_59]) ).
cnf(c_184509,plain,
join(complement(join(complement(X0),zero)),complement(join(complement(X0),top))) = X0,
inference(superposition,[status(thm)],[c_184499,c_74]) ).
cnf(c_184514,plain,
join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_184509,c_50,c_49]) ).
cnf(c_184515,plain,
join(zero,X0) = X0,
inference(demodulation,[status(thm)],[c_184514,c_107,c_184495,c_184318,c_184493]) ).
cnf(c_184541,plain,
join(X0,zero) = X0,
inference(superposition,[status(thm)],[c_184515,c_49]) ).
cnf(c_184840,plain,
composition(top,top) = top,
inference(superposition,[status(thm)],[c_184318,c_184491]) ).
cnf(c_184880,plain,
join(converse(zero),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_184541,c_1028]) ).
cnf(c_184895,plain,
join(converse(zero),X0) = X0,
inference(demodulation,[status(thm)],[c_184880,c_55]) ).
cnf(c_185060,plain,
converse(zero) = zero,
inference(superposition,[status(thm)],[c_184895,c_184541]) ).
cnf(c_186637,plain,
composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_53,c_184355]) ).
cnf(c_186670,plain,
join(converse(X0),composition(converse(X1),X2)) = converse(join(X0,composition(converse(X2),X1))),
inference(superposition,[status(thm)],[c_184355,c_56]) ).
cnf(c_186678,plain,
composition(converse(one),X0) = X0,
inference(demodulation,[status(thm)],[c_186637,c_55]) ).
cnf(c_186689,plain,
converse(one) = one,
inference(superposition,[status(thm)],[c_186678,c_53]) ).
cnf(c_186696,plain,
composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_186678,c_184341]) ).
cnf(c_186699,plain,
composition(one,X0) = X0,
inference(demodulation,[status(thm)],[c_186696,c_186678]) ).
cnf(c_186780,plain,
join(converse(X0),composition(converse(X1),converse(X2))) = converse(join(X0,composition(X2,X1))),
inference(superposition,[status(thm)],[c_55,c_186670]) ).
cnf(c_186819,plain,
converse(join(composition(X0,X1),X2)) = converse(join(X2,composition(X0,X1))),
inference(demodulation,[status(thm)],[c_186780,c_57,c_184461]) ).
cnf(c_186959,plain,
join(converse(X0),one) = converse(join(X0,one)),
inference(superposition,[status(thm)],[c_186689,c_56]) ).
cnf(c_186967,plain,
join(one,converse(X0)) = converse(join(X0,one)),
inference(theory_normalisation,[status(thm)],[c_186959,c_50,c_49]) ).
cnf(c_186977,plain,
join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(superposition,[status(thm)],[c_186699,c_54]) ).
cnf(c_187150,plain,
composition(join(one,converse(X0)),converse(X1)) = converse(composition(X1,join(X0,one))),
inference(superposition,[status(thm)],[c_186967,c_57]) ).
cnf(c_189813,plain,
composition(converse(X0),complement(composition(X0,top))) = zero,
inference(demodulation,[status(thm)],[c_184348,c_184515]) ).
cnf(c_189850,plain,
composition(converse(complement(composition(X0,top))),X0) = converse(zero),
inference(superposition,[status(thm)],[c_189813,c_184355]) ).
cnf(c_189855,plain,
composition(converse(complement(composition(X0,top))),X0) = zero,
inference(demodulation,[status(thm)],[c_189850,c_185060]) ).
cnf(c_190487,plain,
join(complement(X0),composition(converse(converse(complement(composition(X0,top)))),complement(zero))) = complement(X0),
inference(superposition,[status(thm)],[c_189855,c_75]) ).
cnf(c_190502,plain,
join(complement(X0),composition(complement(composition(X0,top)),top)) = complement(X0),
inference(demodulation,[status(thm)],[c_190487,c_55,c_184499]) ).
cnf(c_191328,plain,
join(complement(composition(X0,X1)),composition(complement(composition(X0,composition(X1,top))),top)) = complement(composition(X0,X1)),
inference(superposition,[status(thm)],[c_52,c_190502]) ).
cnf(c_200467,plain,
join(converse(X0),converse(composition(X0,X1))) = composition(join(one,converse(X1)),converse(X0)),
inference(superposition,[status(thm)],[c_57,c_186977]) ).
cnf(c_200582,plain,
converse(join(X0,composition(X0,X1))) = converse(composition(X0,join(X1,one))),
inference(demodulation,[status(thm)],[c_200467,c_184461,c_187150,c_186819]) ).
cnf(c_201109,plain,
converse(converse(composition(X0,join(X1,one)))) = join(X0,composition(X0,X1)),
inference(superposition,[status(thm)],[c_200582,c_55]) ).
cnf(c_201157,plain,
join(X0,composition(X0,X1)) = composition(X0,join(X1,one)),
inference(demodulation,[status(thm)],[c_201109,c_55]) ).
cnf(c_201236,plain,
( composition(complement(composition(sK0,top)),join(top,one)) != composition(complement(composition(sK0,top)),top)
| composition(complement(composition(sK0,top)),join(top,one)) != complement(composition(sK0,top)) ),
inference(demodulation,[status(thm)],[c_76,c_201157]) ).
cnf(c_201237,plain,
( composition(complement(composition(sK0,top)),top) != composition(complement(composition(sK0,top)),top)
| composition(complement(composition(sK0,top)),top) != complement(composition(sK0,top)) ),
inference(demodulation,[status(thm)],[c_201236,c_184318]) ).
cnf(c_201238,plain,
composition(complement(composition(sK0,top)),top) != complement(composition(sK0,top)),
inference(equality_resolution_simp,[status(thm)],[c_201237]) ).
cnf(c_214845,plain,
join(complement(composition(X0,top)),composition(complement(composition(X0,top)),top)) = complement(composition(X0,top)),
inference(superposition,[status(thm)],[c_184840,c_191328]) ).
cnf(c_214917,plain,
composition(complement(composition(X0,top)),top) = complement(composition(X0,top)),
inference(demodulation,[status(thm)],[c_214845,c_184318,c_201157]) ).
cnf(c_214977,plain,
complement(composition(sK0,top)) != complement(composition(sK0,top)),
inference(demodulation,[status(thm)],[c_201238,c_214917]) ).
cnf(c_214978,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_214977]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : REL050+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : run_iprover %s %d THM
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 25 19:32:34 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 215.86/29.43 % SZS status Started for theBenchmark.p
% 215.86/29.43 % SZS status Theorem for theBenchmark.p
% 215.86/29.43
% 215.86/29.43 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 215.86/29.43
% 215.86/29.43 ------ iProver source info
% 215.86/29.43
% 215.86/29.43 git: date: 2023-05-31 18:12:56 +0000
% 215.86/29.43 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 215.86/29.43 git: non_committed_changes: false
% 215.86/29.43 git: last_make_outside_of_git: false
% 215.86/29.43
% 215.86/29.43 ------ Parsing...
% 215.86/29.43 ------ Clausification by vclausify_rel & Parsing by iProver...
% 215.86/29.43
% 215.86/29.43 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 215.86/29.43
% 215.86/29.43 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 215.86/29.43
% 215.86/29.43 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 215.86/29.43 ------ Proving...
% 215.86/29.43 ------ Problem Properties
% 215.86/29.43
% 215.86/29.43
% 215.86/29.43 clauses 13
% 215.86/29.43 conjectures 1
% 215.86/29.43 EPR 0
% 215.86/29.43 Horn 13
% 215.86/29.43 unary 12
% 215.86/29.43 binary 1
% 215.86/29.43 lits 14
% 215.86/29.43 lits eq 14
% 215.86/29.43 fd_pure 0
% 215.86/29.43 fd_pseudo 0
% 215.86/29.43 fd_cond 0
% 215.86/29.43 fd_pseudo_cond 0
% 215.86/29.43 AC symbols 1
% 215.86/29.43
% 215.86/29.43 ------ Input Options Time Limit: Unbounded
% 215.86/29.43
% 215.86/29.43
% 215.86/29.43 ------
% 215.86/29.43 Current options:
% 215.86/29.43 ------
% 215.86/29.43
% 215.86/29.43
% 215.86/29.43
% 215.86/29.43
% 215.86/29.43 ------ Proving...
% 215.86/29.43
% 215.86/29.43
% 215.86/29.43 % SZS status Theorem for theBenchmark.p
% 215.86/29.43
% 215.86/29.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 215.86/29.43
% 215.86/29.45
%------------------------------------------------------------------------------