%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : REL050-4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n016.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 02:37:07 PM UTC 2026
% Result : Unsatisfiable 22.59s 4.41s
% Output : CNFRefutation 22.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 18
% Syntax : Number of formulae : 139 ( 133 unt; 4 def)
% Number of atoms : 234 ( 144 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 13 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 130 ( 0 sgn 130 !; 0 ?; 98 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/REL001-0.ax',composition_associativity_5) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).
fof(f9,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/REL001-0.ax',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_zero_13) ).
fof(f23,negated_conjecture,
( join(composition(complement(composition(sk1,top)),top),complement(composition(sk1,top))) != complement(composition(sk1,top))
| join(complement(composition(sk1,top)),composition(complement(composition(sk1,top)),top)) != composition(complement(composition(sk1,top)),top) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).
fof(f24,plain,
( complement(composition(sk1,top)) != join(composition(complement(composition(sk1,top)),top),complement(composition(sk1,top)))
| composition(complement(composition(sk1,top)),top) != join(complement(composition(sk1,top)),composition(complement(composition(sk1,top)),top)) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_70,plain,
! [X0: $i] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f8]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] : join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,X2),X1),
inference(cnf_transformation,[],[f9]) ).
tcf(c_72,plain,
! [X0: $i] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f10]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] : join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(cnf_transformation,[],[f11]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] : composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[],[f14]) ).
tcf(c_76,plain,
! [X0: $i] : join(X0,complement(X0)) = top,
inference(cnf_transformation,[],[f15]) ).
tcf(c_77,plain,
! [X0: $i] : complement(join(complement(X0),complement(complement(X0)))) = zero,
inference(cnf_transformation,[],[f25]) ).
tcf(c_81,negated_conjecture,
( ( join(complement(composition(sk1,top)),composition(complement(composition(sk1,top)),top)) != composition(complement(composition(sk1,top)),top) )
| ( join(composition(complement(composition(sk1,top)),top),complement(composition(sk1,top))) != complement(composition(sk1,top)) ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_97,negated_conjecture,
( ( join(complement(composition(sk1,top)),composition(complement(composition(sk1,top)),top)) != complement(composition(sk1,top)) )
| ( join(complement(composition(sk1,top)),composition(complement(composition(sk1,top)),top)) != composition(complement(composition(sk1,top)),top) ) ),
inference(theory_normalisation,[status(thm)],[c_81,c_67,c_66]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_68,c_67,c_66]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_75,c_67,c_66]) ).
tcf(c_140,plain,
complement(top) = zero,
inference(ac_demodulation,[status(thm)],[c_77,c_76,c_67,c_66]) ).
tcf(c_149,definition,
iPr_def_10 = composition(sk1,top),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_150,definition,
iPr_def_11 = complement(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_151,definition,
iPr_def_12 = composition(iPr_def_11,top),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_152,definition,
iPr_def_13 = join(iPr_def_11,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_153,negated_conjecture,
( ( iPr_def_13 != iPr_def_12 )
| ( iPr_def_13 != iPr_def_11 ) ),
inference(demodulation,[status(thm)],[c_97,c_151,c_149,c_150,c_152]) ).
tcf(c_234,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_67,c_66]) ).
tcf(c_259,plain,
join(top,zero) = top,
inference(superposition,[status(thm)],[c_140,c_76]) ).
tcf(c_261,plain,
! [X0: $i] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_76,c_98]) ).
tcf(c_263,plain,
! [X0: $i] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_261,c_67,c_66]) ).
tcf(c_264,plain,
! [X0: $i] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_263,c_140]) ).
tcf(c_275,plain,
! [X0: $i,X1: $i] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_72,c_73]) ).
tcf(c_276,plain,
! [X0: $i,X1: $i] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_72,c_73]) ).
tcf(c_282,plain,
! [X0: $i,X1: $i] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_72,c_74]) ).
tcf(c_292,plain,
! [X0: $i] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[status(thm)],[c_76,c_275]) ).
tcf(c_392,plain,
! [X0: $i] : join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero,
inference(superposition,[status(thm)],[c_140,c_99]) ).
tcf(c_393,plain,
! [X0: $i] : join(iPr_def_11,composition(converse(X0),complement(composition(X0,iPr_def_10)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_150,c_99]) ).
tcf(c_398,plain,
join(complement(top),composition(converse(sk1),complement(iPr_def_10))) = complement(top),
inference(superposition,[status(thm)],[c_149,c_99]) ).
tcf(c_404,plain,
join(zero,composition(converse(sk1),iPr_def_11)) = zero,
inference(light_normalisation,[status(thm)],[c_398,c_140,c_150]) ).
tcf(c_429,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_76,c_67]) ).
tcf(c_433,plain,
! [X0: $i] : join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_259,c_67]) ).
tcf(c_480,plain,
! [X0: $i,X1: $i] : composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_70,c_69]) ).
tcf(c_482,plain,
! [X0: $i] : composition(iPr_def_11,composition(top,X0)) = composition(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_151,c_69]) ).
tcf(c_688,plain,
! [X0: $i] : join(top,join(X0,zero)) = join(top,X0),
inference(superposition,[status(thm)],[c_66,c_433]) ).
tcf(c_1133,plain,
! [X0: $i] : composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_70,c_282]) ).
tcf(c_1157,plain,
! [X0: $i] : composition(converse(one),X0) = X0,
inference(light_normalisation,[status(thm)],[c_1133,c_72]) ).
tcf(c_1229,plain,
! [X0: $i] : join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(superposition,[status(thm)],[c_1157,c_99]) ).
tcf(c_1232,plain,
! [X0: $i] : composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_1157,c_480]) ).
tcf(c_1234,plain,
! [X0: $i] : composition(one,X0) = X0,
inference(light_normalisation,[status(thm)],[c_1232,c_1157]) ).
tcf(c_1317,plain,
! [X0: $i,X1: $i] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(superposition,[status(thm)],[c_1234,c_71]) ).
tcf(c_1416,plain,
! [X0: $i] : join(top,join(X0,zero)) = join(X0,top),
inference(superposition,[status(thm)],[c_259,c_234]) ).
tcf(c_2199,plain,
! [X0: $i] : join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[status(thm)],[c_76,c_429]) ).
tcf(c_2649,plain,
! [X0: $i] : join(complement(X0),complement(X0)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_1229,c_1234]) ).
tcf(c_2650,plain,
! [X0: $i] : join(zero,complement(complement(X0))) = X0,
inference(demodulation,[status(thm)],[c_264,c_2649]) ).
tcf(c_2654,plain,
join(zero,zero) = zero,
inference(superposition,[status(thm)],[c_140,c_2649]) ).
tcf(c_2660,plain,
! [X0: $i] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[status(thm)],[c_2649,c_429]) ).
tcf(c_2670,plain,
! [X0: $i] : join(top,complement(X0)) = top,
inference(light_normalisation,[status(thm)],[c_2660,c_76]) ).
tcf(c_2683,plain,
! [X0: $i] : join(X0,top) = top,
inference(demodulation,[status(thm)],[c_2199,c_2670]) ).
tcf(c_2689,plain,
! [X0: $i] : join(top,join(X0,zero)) = top,
inference(demodulation,[status(thm)],[c_1416,c_2683]) ).
tcf(c_2693,plain,
! [X0: $i] : join(top,X0) = top,
inference(demodulation,[status(thm)],[c_688,c_2689]) ).
tcf(c_2697,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = top,
inference(demodulation,[status(thm)],[c_429,c_2693]) ).
tcf(c_2714,plain,
! [X0: $i] : join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_2654,c_67]) ).
tcf(c_2808,plain,
converse(top) = top,
inference(superposition,[status(thm)],[c_2693,c_292]) ).
tcf(c_3003,plain,
! [X0: $i] : composition(converse(X0),top) = converse(composition(top,X0)),
inference(superposition,[status(thm)],[c_2808,c_282]) ).
tcf(c_3007,plain,
! [X0: $i] : composition(top,converse(X0)) = converse(composition(X0,top)),
inference(superposition,[status(thm)],[c_2808,c_74]) ).
tcf(c_3109,plain,
! [X0: $i] : join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_2650,c_2714]) ).
tcf(c_3115,plain,
! [X0: $i] : complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_2650,c_3109]) ).
tcf(c_3117,plain,
composition(converse(sk1),iPr_def_11) = zero,
inference(demodulation,[status(thm)],[c_404,c_3109]) ).
tcf(c_3178,plain,
! [X0: $i] : join(X0,zero) = X0,
inference(superposition,[status(thm)],[c_3109,c_66]) ).
tcf(c_3183,plain,
complement(zero) = top,
inference(superposition,[status(thm)],[c_3109,c_76]) ).
tcf(c_3186,plain,
! [X0: $i] : join(converse(zero),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_3109,c_276]) ).
tcf(c_3197,plain,
! [X0: $i] : join(converse(zero),X0) = X0,
inference(light_normalisation,[status(thm)],[c_3186,c_72]) ).
tcf(c_3405,plain,
! [X0: $i] : composition(converse(sk1),composition(iPr_def_11,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_3117,c_69]) ).
tcf(c_3410,plain,
composition(converse(iPr_def_11),sk1) = converse(zero),
inference(superposition,[status(thm)],[c_3117,c_282]) ).
tcf(c_3494,plain,
converse(zero) = zero,
inference(superposition,[status(thm)],[c_3197,c_3178]) ).
tcf(c_3520,plain,
! [X0: $i] : composition(converse(X0),zero) = converse(composition(zero,X0)),
inference(superposition,[status(thm)],[c_3494,c_282]) ).
tcf(c_3654,plain,
composition(top,converse(iPr_def_11)) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_151,c_3007]) ).
tcf(c_3809,plain,
! [X0: $i] : join(composition(X0,converse(iPr_def_11)),converse(iPr_def_12)) = composition(join(X0,top),converse(iPr_def_11)),
inference(superposition,[status(thm)],[c_3654,c_71]) ).
tcf(c_3816,plain,
! [X0: $i] : join(converse(iPr_def_12),composition(X0,converse(iPr_def_11))) = composition(join(X0,top),converse(iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_3809,c_67,c_66]) ).
tcf(c_3817,plain,
! [X0: $i] : join(converse(iPr_def_12),composition(X0,converse(iPr_def_11))) = converse(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_3816,c_2683,c_3654]) ).
tcf(c_3978,plain,
composition(converse(iPr_def_11),sk1) = zero,
inference(light_normalisation,[status(thm)],[c_3410,c_3494]) ).
tcf(c_3983,plain,
! [X0: $i] : composition(converse(iPr_def_11),composition(sk1,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_3978,c_69]) ).
tcf(c_4239,plain,
! [X0: $i,X1: $i] : join(complement(X0),join(X0,X1)) = top,
inference(superposition,[status(thm)],[c_3115,c_2697]) ).
tcf(c_4274,plain,
! [X0: $i,X1: $i] : join(X0,join(X1,complement(X0))) = top,
inference(theory_normalisation,[status(thm)],[c_4239,c_67,c_66]) ).
tcf(c_4630,plain,
! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,join(X2,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_67,c_4274]) ).
tcf(c_5776,plain,
composition(converse(sk1),iPr_def_12) = composition(zero,top),
inference(superposition,[status(thm)],[c_151,c_3405]) ).
tcf(c_5827,plain,
composition(converse(iPr_def_12),sk1) = converse(composition(zero,top)),
inference(superposition,[status(thm)],[c_5776,c_282]) ).
tcf(c_5838,plain,
composition(converse(iPr_def_11),iPr_def_10) = composition(zero,top),
inference(superposition,[status(thm)],[c_149,c_3983]) ).
tcf(c_5893,plain,
composition(converse(iPr_def_10),iPr_def_11) = converse(composition(zero,top)),
inference(superposition,[status(thm)],[c_5838,c_282]) ).
tcf(c_6717,plain,
composition(converse(iPr_def_10),iPr_def_11) = composition(converse(iPr_def_12),sk1),
inference(light_normalisation,[status(thm)],[c_5827,c_5893]) ).
tcf(c_6739,plain,
composition(converse(iPr_def_10),iPr_def_11) = composition(top,zero),
inference(demodulation,[status(thm)],[c_5893,c_2808,c_3520]) ).
tcf(c_6740,plain,
composition(converse(iPr_def_12),sk1) = composition(top,zero),
inference(demodulation,[status(thm)],[c_6717,c_6739]) ).
tcf(c_8305,plain,
! [X0: $i] : composition(converse(X0),complement(composition(X0,top))) = zero,
inference(demodulation,[status(thm)],[c_392,c_3109]) ).
tcf(c_8307,plain,
composition(top,complement(composition(top,top))) = zero,
inference(superposition,[status(thm)],[c_2808,c_8305]) ).
tcf(c_9774,plain,
! [X0: $i] : composition(join(one,X0),top) = top,
inference(superposition,[status(thm)],[c_1317,c_2693]) ).
tcf(c_10236,plain,
composition(top,top) = top,
inference(superposition,[status(thm)],[c_4630,c_9774]) ).
tcf(c_10268,plain,
composition(top,complement(top)) = zero,
inference(demodulation,[status(thm)],[c_8307,c_10236]) ).
tcf(c_10269,plain,
composition(top,zero) = zero,
inference(light_normalisation,[status(thm)],[c_10268,c_140]) ).
tcf(c_10271,plain,
composition(converse(iPr_def_12),sk1) = zero,
inference(demodulation,[status(thm)],[c_6740,c_10269]) ).
tcf(c_10316,plain,
composition(iPr_def_11,top) = composition(iPr_def_12,top),
inference(superposition,[status(thm)],[c_10236,c_482]) ).
tcf(c_10319,plain,
composition(iPr_def_12,top) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_10316,c_151]) ).
tcf(c_10370,plain,
! [X0: $i] : composition(join(X0,top),zero) = join(composition(X0,zero),zero),
inference(superposition,[status(thm)],[c_10269,c_71]) ).
tcf(c_10381,plain,
! [X0: $i] : composition(join(X0,top),zero) = join(zero,composition(X0,zero)),
inference(theory_normalisation,[status(thm)],[c_10370,c_67,c_66]) ).
tcf(c_10382,plain,
! [X0: $i] : join(zero,composition(X0,zero)) = zero,
inference(light_normalisation,[status(thm)],[c_10381,c_2683,c_10269]) ).
tcf(c_10532,plain,
composition(top,converse(iPr_def_12)) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_10319,c_3007]) ).
tcf(c_10930,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(sk1,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_10271,c_69]) ).
tcf(c_11835,plain,
! [X0: $i] : composition(X0,zero) = zero,
inference(demodulation,[status(thm)],[c_10382,c_3109]) ).
tcf(c_11861,plain,
! [X0: $i] : composition(converse(zero),X0) = converse(zero),
inference(superposition,[status(thm)],[c_11835,c_282]) ).
tcf(c_11870,plain,
! [X0: $i] : composition(zero,X0) = zero,
inference(light_normalisation,[status(thm)],[c_11861,c_3494]) ).
tcf(c_12163,plain,
composition(converse(converse(iPr_def_12)),top) = converse(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_10532,c_3003]) ).
tcf(c_14455,plain,
! [X0: $i] : composition(converse(iPr_def_12),composition(sk1,X0)) = zero,
inference(light_normalisation,[status(thm)],[c_10930,c_11870]) ).
tcf(c_14456,plain,
composition(converse(iPr_def_12),iPr_def_10) = zero,
inference(superposition,[status(thm)],[c_149,c_14455]) ).
tcf(c_14508,plain,
join(iPr_def_11,composition(converse(converse(iPr_def_12)),complement(zero))) = iPr_def_11,
inference(superposition,[status(thm)],[c_14456,c_393]) ).
tcf(c_14510,plain,
join(iPr_def_11,converse(converse(iPr_def_12))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_14508,c_3183,c_12163]) ).
tcf(c_14562,plain,
iPr_def_11 = iPr_def_13,
inference(demodulation,[status(thm)],[c_14510,c_72,c_152]) ).
tcf(c_14599,plain,
join(iPr_def_11,iPr_def_12) = iPr_def_11,
inference(demodulation,[status(thm)],[c_152,c_14562]) ).
tcf(c_14600,plain,
( ( iPr_def_11 != iPr_def_12 )
| ( iPr_def_11 != iPr_def_11 ) ),
inference(demodulation,[status(thm)],[c_153,c_14562]) ).
tcf(c_14602,plain,
iPr_def_11 != iPr_def_12,
inference(equality_resolution_simp,[status(thm)],[c_14600]) ).
tcf(c_25532,plain,
join(converse(iPr_def_12),converse(iPr_def_11)) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_1234,c_3817]) ).
tcf(c_25552,plain,
join(converse(iPr_def_11),converse(iPr_def_12)) = converse(iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_25532,c_67,c_66]) ).
tcf(c_25582,plain,
converse(iPr_def_11) = converse(iPr_def_12),
inference(demodulation,[status(thm)],[c_25552,c_73,c_14599]) ).
tcf(c_25639,plain,
converse(converse(iPr_def_11)) = iPr_def_12,
inference(superposition,[status(thm)],[c_25582,c_72]) ).
tcf(c_25759,plain,
iPr_def_11 = iPr_def_12,
inference(demodulation,[status(thm)],[c_25639,c_72]) ).
tcf(c_25760,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_25759,c_14602]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL050-4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.42 % Computer : n016.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Thu Sep 24 07:44:13 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.49 Running first-order theorem proving
% 0.17/0.49 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.50
% 0.17/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.17/0.50
% 0.17/0.51 % Detected problem language: tptp
% 0.25/0.52 % Proving...
% 22.59/4.41 % SZS status Started for theBenchmark.p
% 22.59/4.41 % SZS status Unsatisfiable for theBenchmark.p
% 22.59/4.41
% 22.59/4.41 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 22.59/4.41
% 22.59/4.41 % ------ iProver source info
% 22.59/4.41
% 22.59/4.41 % git: date: 2026-07-19 20:42:38 +0200
% 22.59/4.41 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 22.59/4.41 % git: non_committed_changes: false
% 22.59/4.41
% 22.59/4.41 % ------ Parsing...% successful
% 22.59/4.41
% 22.59/4.41
% 22.59/4.41 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 22.59/4.41
% 22.59/4.41 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 22.59/4.41
% 22.59/4.41 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 22.59/4.41
% 22.59/4.41 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 22.59/4.41 % ------ Proving...
% 22.59/4.41 % ------ Problem Properties
% 22.59/4.41
% 22.59/4.41 %
% 22.59/4.41 % clauses 20
% 22.59/4.41 % conjectures 1
% 22.59/4.41 % EPR 1
% 22.59/4.41 % Horn 20
% 22.59/4.41 % unary 19
% 22.59/4.41 % binary 1
% 22.59/4.41 % lits 21
% 22.59/4.41 % lits eq 21
% 22.59/4.41 % fd_pure 0
% 22.59/4.41 % fd_pseudo 0
% 22.59/4.41 % fd_cond 0
% 22.59/4.41 % fd_pseudo_cond 0
% 22.59/4.41 % AC symbols 1
% 22.59/4.41
% 22.59/4.41 % ------ Schedule dynamic 5 is on
% 22.59/4.41
% 22.59/4.41 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 22.59/4.41
% 22.59/4.41
% 22.59/4.41 % ------
% 22.59/4.41 % Current options:
% 22.59/4.41 % ------
% 22.59/4.41
% 22.59/4.41
% 22.59/4.41 %
% 22.59/4.41
% 22.59/4.41 % ------ Proving...
% 22.59/4.41 %
% 22.59/4.41
% 22.59/4.41 % SZS status Unsatisfiable for theBenchmark.p
% 22.59/4.41
% 22.59/4.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 22.59/4.41
% 22.59/4.41
%------------------------------------------------------------------------------