TSTP Solution File: REL011+2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : REL011+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 13:40:42 EDT 2023
% Result : Theorem 7.57s 1.66s
% Output : CNFRefutation 7.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 16
% Syntax : Number of formulae : 139 ( 134 unt; 0 def)
% Number of atoms : 146 ( 145 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 0 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 161 ( 6 sgn; 66 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f15,axiom,
! [X0,X1,X2] : meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) = join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modular_law_1) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( zero = meet(X0,composition(converse(X1),X2))
=> zero = meet(composition(X1,X0),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( zero = meet(X0,composition(converse(X1),X2))
=> zero = meet(composition(X1,X0),X2) ),
inference(negated_conjecture,[],[f17]) ).
fof(f19,plain,
? [X0,X1,X2] :
( zero != meet(composition(X1,X0),X2)
& zero = meet(X0,composition(converse(X1),X2)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
( ? [X0,X1,X2] :
( zero != meet(composition(X1,X0),X2)
& zero = meet(X0,composition(converse(X1),X2)) )
=> ( zero != meet(composition(sK1,sK0),sK2)
& zero = meet(sK0,composition(converse(sK1),sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
( zero != meet(composition(sK1,sK0),sK2)
& zero = meet(sK0,composition(converse(sK1),sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f19,f20]) ).
fof(f22,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f23,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f24,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f25,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f26,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f27,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f28,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f29,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f30,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f31,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f32,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f33,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f34,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f36,plain,
! [X2,X0,X1] : meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) = join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),
inference(cnf_transformation,[],[f15]) ).
fof(f38,plain,
zero = meet(sK0,composition(converse(sK1),sK2)),
inference(cnf_transformation,[],[f21]) ).
fof(f39,plain,
zero != meet(composition(sK1,sK0),sK2),
inference(cnf_transformation,[],[f21]) ).
fof(f40,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f34,f25]) ).
fof(f42,plain,
! [X2,X0,X1] : complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2)))),
inference(definition_unfolding,[],[f36,f25,f25,f25,f25,f25]) ).
fof(f44,plain,
zero != complement(join(complement(composition(sK1,sK0)),complement(sK2))),
inference(definition_unfolding,[],[f39,f25]) ).
fof(f45,plain,
zero = complement(join(complement(sK0),complement(composition(converse(sK1),sK2)))),
inference(definition_unfolding,[],[f38,f25]) ).
cnf(c_49,plain,
join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f22]) ).
cnf(c_50,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f23]) ).
cnf(c_51,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f24]) ).
cnf(c_52,plain,
composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(cnf_transformation,[],[f26]) ).
cnf(c_53,plain,
composition(X0,one) = X0,
inference(cnf_transformation,[],[f27]) ).
cnf(c_54,plain,
join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,X2),X1),
inference(cnf_transformation,[],[f28]) ).
cnf(c_55,plain,
converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f29]) ).
cnf(c_56,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(cnf_transformation,[],[f30]) ).
cnf(c_57,plain,
composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(cnf_transformation,[],[f31]) ).
cnf(c_58,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[],[f32]) ).
cnf(c_59,plain,
join(X0,complement(X0)) = top,
inference(cnf_transformation,[],[f33]) ).
cnf(c_60,plain,
complement(join(complement(X0),complement(complement(X0)))) = zero,
inference(cnf_transformation,[],[f40]) ).
cnf(c_62,plain,
join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2)))) = complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2))),
inference(cnf_transformation,[],[f42]) ).
cnf(c_64,negated_conjecture,
complement(join(complement(composition(sK1,sK0)),complement(sK2))) != zero,
inference(cnf_transformation,[],[f44]) ).
cnf(c_65,negated_conjecture,
complement(join(complement(sK0),complement(composition(converse(sK1),sK2)))) = zero,
inference(cnf_transformation,[],[f45]) ).
cnf(c_81,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_82,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_83,plain,
join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2))))))))) = complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))))),
inference(theory_normalisation,[status(thm)],[c_62,c_50,c_49]) ).
cnf(c_85,negated_conjecture,
complement(join(complement(sK2),complement(composition(sK1,sK0)))) != zero,
inference(theory_normalisation,[status(thm)],[c_64,c_50,c_49]) ).
cnf(c_124,plain,
complement(top) = zero,
inference(ac_demodulation,[status(thm)],[c_60,c_59,c_50,c_49]) ).
cnf(c_203,plain,
join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_205,plain,
join(top,zero) = top,
inference(superposition,[status(thm)],[c_124,c_59]) ).
cnf(c_206,plain,
join(zero,top) = top,
inference(theory_normalisation,[status(thm)],[c_205,c_50,c_49]) ).
cnf(c_214,plain,
join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_59,c_81]) ).
cnf(c_219,plain,
join(complement(join(complement(X0),top)),complement(join(complement(X0),zero))) = X0,
inference(superposition,[status(thm)],[c_124,c_81]) ).
cnf(c_222,plain,
join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_214,c_50,c_49]) ).
cnf(c_223,plain,
join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_222,c_124]) ).
cnf(c_225,plain,
join(complement(join(zero,complement(X0))),complement(join(top,complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_219,c_50,c_49]) ).
cnf(c_236,plain,
converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_237,plain,
converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_241,plain,
converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_55,c_57]) ).
cnf(c_244,plain,
join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_59,c_50]) ).
cnf(c_246,plain,
join(zero,join(top,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_206,c_50]) ).
cnf(c_251,plain,
join(zero,join(X0,top)) = join(X0,top),
inference(superposition,[status(thm)],[c_49,c_246]) ).
cnf(c_265,plain,
join(complement(sK0),complement(composition(converse(sK1),sK2))) = join(zero,complement(join(zero,zero))),
inference(superposition,[status(thm)],[c_65,c_223]) ).
cnf(c_266,plain,
join(zero,complement(join(zero,zero))) = top,
inference(superposition,[status(thm)],[c_124,c_223]) ).
cnf(c_273,plain,
join(complement(sK0),complement(composition(converse(sK1),sK2))) = top,
inference(light_normalisation,[status(thm)],[c_265,c_266]) ).
cnf(c_274,plain,
join(complement(sK0),join(complement(composition(converse(sK1),sK2)),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_273,c_50]) ).
cnf(c_298,plain,
join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero,
inference(superposition,[status(thm)],[c_124,c_82]) ).
cnf(c_307,plain,
composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_53,c_52]) ).
cnf(c_334,plain,
join(complement(join(complement(composition(sK1,sK0)),complement(sK2))),complement(join(complement(sK2),complement(composition(sK1,complement(top)))))) = complement(join(complement(sK2),complement(composition(sK1,complement(top))))),
inference(superposition,[status(thm)],[c_273,c_83]) ).
cnf(c_342,plain,
join(complement(join(complement(sK2),complement(composition(sK1,sK0)))),complement(join(complement(sK2),complement(composition(sK1,complement(top)))))) = complement(join(complement(sK2),complement(composition(sK1,complement(top))))),
inference(theory_normalisation,[status(thm)],[c_334,c_50,c_49]) ).
cnf(c_343,plain,
join(complement(join(complement(sK2),complement(composition(sK1,sK0)))),complement(join(complement(sK2),complement(composition(sK1,zero))))) = complement(join(complement(sK2),complement(composition(sK1,zero)))),
inference(light_normalisation,[status(thm)],[c_342,c_124]) ).
cnf(c_344,plain,
join(complement(join(complement(sK2),complement(composition(sK1,zero)))),complement(join(complement(sK2),complement(composition(sK1,sK0))))) = complement(join(complement(sK2),complement(composition(sK1,zero)))),
inference(theory_normalisation,[status(thm)],[c_343,c_50,c_49]) ).
cnf(c_390,plain,
join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[status(thm)],[c_59,c_236]) ).
cnf(c_414,plain,
join(zero,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_390,c_246]) ).
cnf(c_426,plain,
join(complement(sK0),join(X0,complement(composition(converse(sK1),sK2)))) = join(top,X0),
inference(superposition,[status(thm)],[c_49,c_274]) ).
cnf(c_518,plain,
join(X0,join(X1,complement(X0))) = join(X1,top),
inference(superposition,[status(thm)],[c_59,c_203]) ).
cnf(c_519,plain,
join(complement(sK0),join(X0,complement(composition(converse(sK1),sK2)))) = join(X0,top),
inference(superposition,[status(thm)],[c_273,c_203]) ).
cnf(c_649,plain,
join(converse(zero),top) = converse(converse(top)),
inference(superposition,[status(thm)],[c_414,c_237]) ).
cnf(c_650,plain,
join(top,converse(zero)) = converse(converse(top)),
inference(theory_normalisation,[status(thm)],[c_649,c_50,c_49]) ).
cnf(c_651,plain,
join(top,converse(zero)) = top,
inference(demodulation,[status(thm)],[c_650,c_55]) ).
cnf(c_652,plain,
join(top,join(converse(zero),X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_651,c_50]) ).
cnf(c_998,plain,
composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_53,c_241]) ).
cnf(c_1027,plain,
composition(converse(one),X0) = X0,
inference(light_normalisation,[status(thm)],[c_998,c_55]) ).
cnf(c_1078,plain,
join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(superposition,[status(thm)],[c_1027,c_82]) ).
cnf(c_1083,plain,
composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_1027,c_307]) ).
cnf(c_1094,plain,
composition(one,X0) = X0,
inference(light_normalisation,[status(thm)],[c_1083,c_1027]) ).
cnf(c_1176,plain,
join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(superposition,[status(thm)],[c_1094,c_54]) ).
cnf(c_1471,plain,
join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[status(thm)],[c_59,c_244]) ).
cnf(c_1500,plain,
join(complement(zero),top) = join(top,top),
inference(superposition,[status(thm)],[c_244,c_251]) ).
cnf(c_1516,plain,
join(top,complement(zero)) = join(top,top),
inference(theory_normalisation,[status(thm)],[c_1500,c_50,c_49]) ).
cnf(c_1822,plain,
join(complement(top),complement(join(top,complement(zero)))) = zero,
inference(superposition,[status(thm)],[c_59,c_225]) ).
cnf(c_1843,plain,
join(zero,complement(join(top,top))) = zero,
inference(light_normalisation,[status(thm)],[c_1822,c_124,c_1516]) ).
cnf(c_2444,plain,
join(join(top,top),zero) = join(zero,top),
inference(superposition,[status(thm)],[c_1843,c_518]) ).
cnf(c_2467,plain,
join(zero,join(top,top)) = join(zero,top),
inference(theory_normalisation,[status(thm)],[c_2444,c_50,c_49]) ).
cnf(c_2468,plain,
join(zero,join(top,top)) = top,
inference(light_normalisation,[status(thm)],[c_2467,c_206]) ).
cnf(c_2624,plain,
join(top,complement(converse(zero))) = join(top,top),
inference(superposition,[status(thm)],[c_59,c_652]) ).
cnf(c_2656,plain,
join(zero,join(top,top)) = join(top,top),
inference(superposition,[status(thm)],[c_2624,c_246]) ).
cnf(c_2657,plain,
join(top,top) = top,
inference(light_normalisation,[status(thm)],[c_2656,c_2468]) ).
cnf(c_2663,plain,
join(zero,complement(top)) = zero,
inference(demodulation,[status(thm)],[c_1843,c_2657]) ).
cnf(c_2665,plain,
join(zero,zero) = zero,
inference(light_normalisation,[status(thm)],[c_2663,c_124]) ).
cnf(c_2677,plain,
join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_2665,c_50]) ).
cnf(c_3008,plain,
join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_223,c_2677]) ).
cnf(c_3119,plain,
join(X0,zero) = X0,
inference(superposition,[status(thm)],[c_3008,c_49]) ).
cnf(c_3124,plain,
complement(zero) = top,
inference(superposition,[status(thm)],[c_3008,c_59]) ).
cnf(c_3441,plain,
join(complement(X0),complement(X0)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_1078,c_1094]) ).
cnf(c_3466,plain,
join(X0,complement(X0)) = join(complement(X0),top),
inference(superposition,[status(thm)],[c_3441,c_518]) ).
cnf(c_3472,plain,
join(X0,complement(X0)) = join(top,complement(X0)),
inference(theory_normalisation,[status(thm)],[c_3466,c_50,c_49]) ).
cnf(c_3473,plain,
join(top,complement(X0)) = top,
inference(light_normalisation,[status(thm)],[c_3472,c_59]) ).
cnf(c_3495,plain,
join(X0,top) = top,
inference(demodulation,[status(thm)],[c_1471,c_3473]) ).
cnf(c_3497,plain,
join(complement(sK0),join(X0,complement(composition(converse(sK1),sK2)))) = top,
inference(demodulation,[status(thm)],[c_519,c_3495]) ).
cnf(c_3499,plain,
join(top,X0) = top,
inference(demodulation,[status(thm)],[c_426,c_3497]) ).
cnf(c_3562,plain,
converse(top) = top,
inference(superposition,[status(thm)],[c_3499,c_390]) ).
cnf(c_4384,plain,
composition(converse(X0),complement(composition(X0,top))) = zero,
inference(demodulation,[status(thm)],[c_298,c_3008]) ).
cnf(c_4622,plain,
join(X0,composition(complement(one),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_59,c_1176]) ).
cnf(c_4627,plain,
join(X0,composition(zero,X0)) = composition(one,X0),
inference(superposition,[status(thm)],[c_3119,c_1176]) ).
cnf(c_4653,plain,
join(X0,composition(zero,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_4627,c_1094]) ).
cnf(c_4788,plain,
composition(top,top) = top,
inference(superposition,[status(thm)],[c_4622,c_3499]) ).
cnf(c_4879,plain,
composition(converse(top),complement(top)) = zero,
inference(superposition,[status(thm)],[c_4788,c_4384]) ).
cnf(c_4882,plain,
composition(top,zero) = zero,
inference(light_normalisation,[status(thm)],[c_4879,c_124,c_3562]) ).
cnf(c_4897,plain,
join(composition(X0,zero),zero) = composition(join(X0,top),zero),
inference(superposition,[status(thm)],[c_4882,c_54]) ).
cnf(c_4902,plain,
join(zero,composition(X0,zero)) = composition(join(X0,top),zero),
inference(theory_normalisation,[status(thm)],[c_4897,c_50,c_49]) ).
cnf(c_4903,plain,
join(zero,composition(X0,zero)) = zero,
inference(light_normalisation,[status(thm)],[c_4902,c_3495,c_4882]) ).
cnf(c_5115,plain,
composition(zero,zero) = zero,
inference(superposition,[status(thm)],[c_4653,c_3008]) ).
cnf(c_5147,plain,
join(composition(X0,zero),zero) = composition(join(X0,zero),zero),
inference(superposition,[status(thm)],[c_5115,c_54]) ).
cnf(c_5154,plain,
join(zero,composition(X0,zero)) = composition(join(X0,zero),zero),
inference(theory_normalisation,[status(thm)],[c_5147,c_50,c_49]) ).
cnf(c_5155,plain,
composition(X0,zero) = zero,
inference(light_normalisation,[status(thm)],[c_5154,c_3119,c_4903]) ).
cnf(c_15467,plain,
complement(join(complement(sK2),complement(composition(sK1,sK0)))) = zero,
inference(demodulation,[status(thm)],[c_344,c_124,c_3008,c_3124,c_3495,c_5155]) ).
cnf(c_15468,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_15467,c_85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL011+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 18:58:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.57/1.66 % SZS status Started for theBenchmark.p
% 7.57/1.66 % SZS status Theorem for theBenchmark.p
% 7.57/1.66
% 7.57/1.66 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.57/1.66
% 7.57/1.66 ------ iProver source info
% 7.57/1.66
% 7.57/1.66 git: date: 2023-05-31 18:12:56 +0000
% 7.57/1.66 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.57/1.66 git: non_committed_changes: false
% 7.57/1.66 git: last_make_outside_of_git: false
% 7.57/1.66
% 7.57/1.66 ------ Parsing...
% 7.57/1.66 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.57/1.66
% 7.57/1.66 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.57/1.66
% 7.57/1.66 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.57/1.66
% 7.57/1.66 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.57/1.66 ------ Proving...
% 7.57/1.66 ------ Problem Properties
% 7.57/1.66
% 7.57/1.66
% 7.57/1.66 clauses 17
% 7.57/1.66 conjectures 2
% 7.57/1.66 EPR 0
% 7.57/1.66 Horn 17
% 7.57/1.66 unary 17
% 7.57/1.66 binary 0
% 7.57/1.66 lits 17
% 7.57/1.66 lits eq 17
% 7.57/1.66 fd_pure 0
% 7.57/1.66 fd_pseudo 0
% 7.57/1.66 fd_cond 0
% 7.57/1.66 fd_pseudo_cond 0
% 7.57/1.66 AC symbols 1
% 7.57/1.66
% 7.57/1.66 ------ Schedule UEQ
% 7.57/1.66
% 7.57/1.66 ------ Option_UEQ Time Limit: 10.
% 7.57/1.66
% 7.57/1.66
% 7.57/1.66 ------
% 7.57/1.66 Current options:
% 7.57/1.66 ------
% 7.57/1.66
% 7.57/1.66
% 7.57/1.66
% 7.57/1.66
% 7.57/1.66 ------ Proving...
% 7.57/1.66
% 7.57/1.66
% 7.57/1.66 % SZS status Theorem for theBenchmark.p
% 7.57/1.66
% 7.57/1.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.57/1.66
% 7.57/1.67
%------------------------------------------------------------------------------