%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : REL050-1 : 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 : n009.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 02:37:02 PM UTC 2026
% Result : Unsatisfiable 1.40s 1.76s
% Output : CNFRefutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 17
% Syntax : Number of formulae : 129 ( 129 unt; 3 def)
% Number of atoms : 225 ( 128 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 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 : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 109 ( 0 sgn 109 !; 0 ?; 77 :)
% 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(f17,negated_conjecture,
complement(composition(sk1,top)) != composition(complement(composition(sk1,top)),top),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] : composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_67,plain,
! [X0: $i] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f8]) ).
tcf(c_68,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_69,plain,
! [X0: $i] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f10]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] : join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(cnf_transformation,[],[f11]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] : composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[],[f14]) ).
tcf(c_73,plain,
! [X0: $i] : join(X0,complement(X0)) = top,
inference(cnf_transformation,[],[f15]) ).
tcf(c_74,plain,
! [X0: $i] : complement(join(complement(X0),complement(complement(X0)))) = zero,
inference(cnf_transformation,[],[f18]) ).
tcf(c_75,negated_conjecture,
composition(complement(composition(sk1,top)),top) != complement(composition(sk1,top)),
inference(cnf_transformation,[],[f17]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_65,c_64,c_63]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_72,c_64,c_63]) ).
tcf(c_118,plain,
complement(top) = zero,
inference(demodulation,[status(thm)],[c_74,c_73]) ).
tcf(c_125,definition,
iPr_def_10 = composition(sk1,top),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_126,definition,
iPr_def_11 = complement(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_127,definition,
iPr_def_12 = composition(iPr_def_11,top),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_128,negated_conjecture,
iPr_def_12 != iPr_def_11,
inference(demodulation,[status(thm)],[c_75,c_125,c_126,c_127]) ).
tcf(c_205,plain,
join(iPr_def_10,iPr_def_11) = top,
inference(superposition,[status(thm)],[c_126,c_73]) ).
tcf(c_212,plain,
! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_73,c_64]) ).
tcf(c_219,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_205,c_64]) ).
tcf(c_283,plain,
! [X0: $i] : composition(sk1,composition(top,X0)) = composition(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_125,c_66]) ).
tcf(c_284,plain,
! [X0: $i,X1: $i] : composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_67,c_66]) ).
tcf(c_285,plain,
! [X0: $i] : composition(iPr_def_11,composition(top,X0)) = composition(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_127,c_66]) ).
tcf(c_290,plain,
composition(sk1,top) = composition(iPr_def_10,one),
inference(superposition,[status(thm)],[c_67,c_283]) ).
tcf(c_292,plain,
composition(sk1,top) = iPr_def_10,
inference(demodulation,[status(thm)],[c_290,c_67]) ).
tcf(c_307,plain,
composition(iPr_def_11,top) = composition(iPr_def_12,one),
inference(superposition,[status(thm)],[c_67,c_285]) ).
tcf(c_310,plain,
composition(iPr_def_11,top) = iPr_def_12,
inference(demodulation,[status(thm)],[c_307,c_67]) ).
tcf(c_325,plain,
! [X0: $i,X1: $i] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_69,c_70]) ).
tcf(c_336,plain,
! [X0: $i,X1: $i] : converse(composition(X0,converse(X1))) = composition(X1,converse(X0)),
inference(superposition,[status(thm)],[c_69,c_71]) ).
tcf(c_337,plain,
! [X0: $i,X1: $i] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_69,c_71]) ).
tcf(c_370,plain,
! [X0: $i] : join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[status(thm)],[c_73,c_212]) ).
tcf(c_431,plain,
! [X0: $i] : composition(join(sk1,X0),top) = join(iPr_def_10,composition(X0,top)),
inference(superposition,[status(thm)],[c_292,c_68]) ).
tcf(c_435,plain,
! [X0: $i,X1: $i,X2: $i] : join(converse(composition(X0,X1)),composition(X2,converse(X0))) = composition(join(converse(X1),X2),converse(X0)),
inference(superposition,[status(thm)],[c_71,c_68]) ).
tcf(c_436,plain,
! [X0: $i] : composition(join(iPr_def_11,X0),top) = join(iPr_def_12,composition(X0,top)),
inference(superposition,[status(thm)],[c_310,c_68]) ).
tcf(c_607,plain,
! [X0: $i] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[status(thm)],[c_73,c_325]) ).
tcf(c_787,plain,
! [X0: $i] : composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_67,c_337]) ).
tcf(c_806,plain,
! [X0: $i] : composition(converse(one),X0) = X0,
inference(demodulation,[status(thm)],[c_787,c_69]) ).
tcf(c_923,plain,
converse(one) = one,
inference(superposition,[status(thm)],[c_806,c_67]) ).
tcf(c_926,plain,
! [X0: $i] : composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_806,c_284]) ).
tcf(c_929,plain,
! [X0: $i] : composition(one,X0) = X0,
inference(demodulation,[status(thm)],[c_926,c_806]) ).
tcf(c_1276,plain,
! [X0: $i] : join(complement(X0),composition(one,complement(composition(one,X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_923,c_89]) ).
tcf(c_1279,plain,
join(complement(top),composition(converse(sk1),complement(iPr_def_10))) = complement(top),
inference(superposition,[status(thm)],[c_292,c_89]) ).
tcf(c_1295,plain,
join(zero,composition(converse(sk1),iPr_def_11)) = zero,
inference(light_normalisation,[status(thm)],[c_1279,c_118,c_126]) ).
tcf(c_1296,plain,
! [X0: $i] : join(complement(X0),complement(X0)) = complement(X0),
inference(demodulation,[status(thm)],[c_1276,c_929]) ).
tcf(c_1336,plain,
join(zero,zero) = zero,
inference(superposition,[status(thm)],[c_118,c_1296]) ).
tcf(c_1340,plain,
! [X0: $i] : join(complement(join(complement(X0),X0)),complement(complement(X0))) = X0,
inference(superposition,[status(thm)],[c_1296,c_88]) ).
tcf(c_1342,plain,
! [X0: $i] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[status(thm)],[c_1296,c_212]) ).
tcf(c_1344,plain,
! [X0: $i] : join(top,complement(X0)) = top,
inference(demodulation,[status(thm)],[c_1342,c_73]) ).
tcf(c_1345,plain,
! [X0: $i] : join(complement(top),complement(complement(X0))) = X0,
inference(demodulation,[status(thm)],[c_1340,c_63,c_73]) ).
tcf(c_1346,plain,
! [X0: $i] : join(zero,complement(complement(X0))) = X0,
inference(light_normalisation,[status(thm)],[c_1345,c_118]) ).
tcf(c_1350,plain,
! [X0: $i] : join(X0,top) = top,
inference(demodulation,[status(thm)],[c_370,c_1344]) ).
tcf(c_1358,plain,
! [X0: $i] : join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_1336,c_64]) ).
tcf(c_1411,plain,
! [X0: $i] : join(top,X0) = top,
inference(superposition,[status(thm)],[c_1350,c_63]) ).
tcf(c_1424,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_11,X0)) = top,
inference(demodulation,[status(thm)],[c_219,c_1411]) ).
tcf(c_1578,plain,
converse(top) = top,
inference(superposition,[status(thm)],[c_1411,c_607]) ).
tcf(c_1581,plain,
! [X0: $i] : join(X0,converse(complement(converse(X0)))) = top,
inference(demodulation,[status(thm)],[c_607,c_1578]) ).
tcf(c_1603,plain,
! [X0: $i] : composition(top,converse(X0)) = converse(composition(X0,top)),
inference(superposition,[status(thm)],[c_1578,c_336]) ).
tcf(c_1620,plain,
join(zero,complement(iPr_def_11)) = iPr_def_10,
inference(superposition,[status(thm)],[c_126,c_1346]) ).
tcf(c_2142,plain,
! [X0: $i] : join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_1346,c_1358]) ).
tcf(c_2155,plain,
! [X0: $i] : complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_1346,c_2142]) ).
tcf(c_2156,plain,
complement(iPr_def_11) = iPr_def_10,
inference(demodulation,[status(thm)],[c_1620,c_2142]) ).
tcf(c_2158,plain,
composition(converse(sk1),iPr_def_11) = zero,
inference(demodulation,[status(thm)],[c_1295,c_2142]) ).
tcf(c_2227,plain,
! [X0: $i] : join(X0,zero) = X0,
inference(superposition,[status(thm)],[c_2142,c_63]) ).
tcf(c_2232,plain,
complement(zero) = top,
inference(superposition,[status(thm)],[c_2142,c_73]) ).
tcf(c_2241,plain,
converse(complement(converse(zero))) = top,
inference(superposition,[status(thm)],[c_2142,c_1581]) ).
tcf(c_2297,plain,
complement(iPr_def_10) = iPr_def_11,
inference(superposition,[status(thm)],[c_2156,c_2155]) ).
tcf(c_2489,plain,
! [X0: $i] : composition(join(X0,converse(sk1)),iPr_def_11) = join(composition(X0,iPr_def_11),zero),
inference(superposition,[status(thm)],[c_2158,c_68]) ).
tcf(c_2491,plain,
composition(converse(iPr_def_11),sk1) = converse(zero),
inference(superposition,[status(thm)],[c_2158,c_337]) ).
tcf(c_2494,plain,
! [X0: $i] : composition(join(X0,converse(sk1)),iPr_def_11) = composition(X0,iPr_def_11),
inference(demodulation,[status(thm)],[c_2489,c_2227]) ).
tcf(c_2538,plain,
complement(converse(zero)) = converse(top),
inference(superposition,[status(thm)],[c_2241,c_69]) ).
tcf(c_2545,plain,
complement(converse(zero)) = top,
inference(light_normalisation,[status(thm)],[c_2538,c_1578]) ).
tcf(c_2566,plain,
complement(top) = converse(zero),
inference(superposition,[status(thm)],[c_2545,c_2155]) ).
tcf(c_2572,plain,
converse(zero) = zero,
inference(light_normalisation,[status(thm)],[c_2566,c_118]) ).
tcf(c_2596,plain,
! [X0: $i] : composition(zero,converse(X0)) = converse(composition(X0,zero)),
inference(superposition,[status(thm)],[c_2572,c_336]) ).
tcf(c_2710,plain,
composition(converse(iPr_def_11),sk1) = zero,
inference(light_normalisation,[status(thm)],[c_2491,c_2572]) ).
tcf(c_2712,plain,
! [X0: $i] : composition(converse(iPr_def_11),composition(sk1,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_2710,c_66]) ).
tcf(c_2955,plain,
composition(top,converse(iPr_def_11)) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_310,c_1603]) ).
tcf(c_6301,plain,
composition(converse(sk1),iPr_def_11) = composition(zero,iPr_def_11),
inference(superposition,[status(thm)],[c_2142,c_2494]) ).
tcf(c_6306,plain,
composition(zero,iPr_def_11) = zero,
inference(light_normalisation,[status(thm)],[c_6301,c_2158]) ).
tcf(c_6333,plain,
! [X0: $i] : composition(zero,composition(iPr_def_11,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_6306,c_66]) ).
tcf(c_6348,plain,
join(iPr_def_10,composition(top,top)) = composition(top,top),
inference(superposition,[status(thm)],[c_1350,c_431]) ).
tcf(c_6616,plain,
composition(zero,top) = composition(zero,iPr_def_12),
inference(superposition,[status(thm)],[c_310,c_6333]) ).
tcf(c_7361,plain,
composition(converse(iPr_def_11),iPr_def_10) = composition(zero,top),
inference(superposition,[status(thm)],[c_292,c_2712]) ).
tcf(c_7377,plain,
composition(converse(iPr_def_11),iPr_def_10) = composition(zero,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_7361,c_6616]) ).
tcf(c_7605,plain,
! [X0: $i] : composition(join(converse(X0),top),converse(iPr_def_11)) = join(converse(composition(iPr_def_11,X0)),converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_2955,c_435]) ).
tcf(c_7634,plain,
! [X0: $i] : converse(join(iPr_def_12,composition(iPr_def_11,X0))) = composition(top,converse(iPr_def_11)),
inference(demodulation,[status(thm)],[c_7605,c_63,c_70,c_1350]) ).
tcf(c_7635,plain,
! [X0: $i] : converse(join(iPr_def_12,composition(iPr_def_11,X0))) = converse(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_7634,c_2955]) ).
tcf(c_7800,plain,
converse(join(iPr_def_12,iPr_def_11)) = converse(iPr_def_12),
inference(superposition,[status(thm)],[c_67,c_7635]) ).
tcf(c_7825,plain,
converse(join(iPr_def_11,iPr_def_12)) = converse(iPr_def_12),
inference(demodulation,[status(thm)],[c_7800,c_63]) ).
tcf(c_7972,plain,
join(iPr_def_11,iPr_def_12) = converse(converse(iPr_def_12)),
inference(superposition,[status(thm)],[c_7825,c_69]) ).
tcf(c_7981,plain,
join(iPr_def_11,iPr_def_12) = iPr_def_12,
inference(demodulation,[status(thm)],[c_7972,c_69]) ).
tcf(c_8058,plain,
join(iPr_def_10,iPr_def_12) = top,
inference(superposition,[status(thm)],[c_7981,c_1424]) ).
tcf(c_8065,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_12,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_8058,c_64]) ).
tcf(c_8071,plain,
! [X0: $i] : join(iPr_def_10,join(iPr_def_12,X0)) = top,
inference(demodulation,[status(thm)],[c_8065,c_1411]) ).
tcf(c_8270,plain,
join(iPr_def_12,composition(top,top)) = composition(top,top),
inference(superposition,[status(thm)],[c_1350,c_436]) ).
tcf(c_9214,plain,
join(iPr_def_10,composition(top,top)) = top,
inference(superposition,[status(thm)],[c_8270,c_8071]) ).
tcf(c_9216,plain,
composition(top,top) = top,
inference(demodulation,[status(thm)],[c_6348,c_9214]) ).
tcf(c_9224,plain,
join(complement(top),composition(converse(top),complement(top))) = complement(top),
inference(superposition,[status(thm)],[c_9216,c_89]) ).
tcf(c_9236,plain,
join(zero,composition(top,zero)) = zero,
inference(light_normalisation,[status(thm)],[c_9224,c_118,c_1578]) ).
tcf(c_9237,plain,
composition(top,zero) = zero,
inference(ac_demodulation,[status(thm)],[c_9236,c_2142,c_64,c_63]) ).
tcf(c_9305,plain,
composition(zero,converse(top)) = converse(zero),
inference(superposition,[status(thm)],[c_9237,c_2596]) ).
tcf(c_9306,plain,
composition(zero,iPr_def_12) = zero,
inference(light_normalisation,[status(thm)],[c_9305,c_1578,c_2572,c_6616]) ).
tcf(c_9320,plain,
composition(converse(iPr_def_11),iPr_def_10) = zero,
inference(demodulation,[status(thm)],[c_7377,c_9306]) ).
tcf(c_10293,plain,
join(complement(iPr_def_10),composition(converse(converse(iPr_def_11)),complement(zero))) = complement(iPr_def_10),
inference(superposition,[status(thm)],[c_9320,c_89]) ).
tcf(c_10301,plain,
join(complement(iPr_def_10),composition(iPr_def_11,complement(zero))) = complement(iPr_def_10),
inference(demodulation,[status(thm)],[c_10293,c_69]) ).
tcf(c_10302,plain,
iPr_def_11 = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_10301,c_310,c_2232,c_2297,c_7981]) ).
tcf(c_10338,plain,
iPr_def_11 != iPr_def_11,
inference(demodulation,[status(thm)],[c_128,c_10302]) ).
tcf(c_10339,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_10338]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL050-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.38 % Computer : n009.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Thu Sep 24 07:38:29 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.42 Running UEQ theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.43
% 0.13/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.43
% 0.13/0.43 % Detected problem language: tptp
% 0.13/0.44 % Proving...
% 1.40/1.76 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 1.40/1.76 % SZS status Started for theBenchmark.p
% 1.40/1.76 % SZS status Unsatisfiable for theBenchmark.p
% 1.40/1.76
% 1.40/1.76 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.40/1.76
% 1.40/1.76 % ------ iProver source info
% 1.40/1.76
% 1.40/1.76 % git: date: 2026-07-19 20:42:38 +0200
% 1.40/1.76 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.40/1.76 % git: non_committed_changes: false
% 1.40/1.76
% 1.40/1.76 % ------ Parsing...% successful
% 1.40/1.76
% 1.40/1.76
% 1.40/1.76 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.40/1.76
% 1.40/1.76 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.40/1.76
% 1.40/1.76 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.40/1.76
% 1.40/1.76 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.40/1.76 % ------ Proving...
% 1.40/1.76 % ------ Problem Properties
% 1.40/1.76
% 1.40/1.76 %
% 1.40/1.76 % clauses 16
% 1.40/1.76 % conjectures 1
% 1.40/1.76 % EPR 1
% 1.40/1.76 % Horn 16
% 1.40/1.76 % unary 16
% 1.40/1.76 % binary 0
% 1.40/1.76 % lits 16
% 1.40/1.76 % lits eq 16
% 1.40/1.76 % fd_pure 0
% 1.40/1.76 % fd_pseudo 0
% 1.40/1.76 % fd_cond 0
% 1.40/1.76 % fd_pseudo_cond 0
% 1.40/1.76 % AC symbols 1
% 1.40/1.76
% 1.40/1.76 % ------ Input Options Time Limit: Unbounded
% 1.40/1.76
% 1.40/1.76
% 1.40/1.76 % ------
% 1.40/1.76 % Current options:
% 1.40/1.76 % ------
% 1.40/1.76
% 1.40/1.76
% 1.40/1.76 %
% 1.40/1.76
% 1.40/1.76 % ------ Proving...
% 1.40/1.76 %
% 1.40/1.76
% 1.40/1.76 % SZS status Unsatisfiable for theBenchmark.p
% 1.40/1.76
% 1.40/1.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.40/1.76
% 1.40/1.76
%------------------------------------------------------------------------------