%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL250-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n002.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 02:06:10 PM UTC 2026
% Result : Unsatisfiable 256.81s 48.75s
% Output : CNFRefutation 256.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 20
% Syntax : Number of formulae : 141 ( 141 unt; 10 def)
% Number of atoms : 297 ( 140 equ)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 11 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-4 aty)
% Number of variables : 158 ( 0 sgn 158 !; 0 ?; 113 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f4,plain,
! [X0,X1] : true = axiom(implies(X0,or(X1,X0))),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f6,plain,
! [X0,X1] : true = axiom(implies(or(X0,X1),or(X1,X0))),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f8,plain,
! [X2,X0,X1] : true = axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f10,plain,
! [X2,X0,X1] : true = axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).
fof(f12,axiom,
! [X0] : ifeq(axiom(X0),true,theorem(X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f13,plain,
! [X0] : true = ifeq(axiom(X0),true,theorem(X0),true),
inference(reorient_equations,[],[f12]) ).
fof(f14,axiom,
! [X0,X1] : ifeq(theorem(implies(X0,X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f15,plain,
! [X0,X1] : true = ifeq(theorem(implies(X0,X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true),
inference(reorient_equations,[],[f14]) ).
fof(f16,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_defn) ).
fof(f17,negated_conjecture,
theorem(implies(implies(q,r),implies(and(p,q),r))) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f18,plain,
true != theorem(implies(implies(q,r),implies(and(p,q),r))),
inference(reorient_equations,[],[f17]) ).
fof(f20,plain,
! [X0,X1] : true = axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f4,f11]) ).
fof(f21,plain,
! [X0,X1] : true = axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f6,f11]) ).
fof(f22,plain,
! [X2,X0,X1] : true = axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f8,f11]) ).
fof(f23,plain,
! [X2,X0,X1] : true = axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f10,f11,f11,f11]) ).
fof(f24,plain,
! [X0,X1] : true = ifeq(theorem(or(not(X0),X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true),
inference(definition_unfolding,[],[f15,f11]) ).
fof(f25,plain,
true != theorem(or(not(or(not(q),r)),or(not(not(or(not(p),not(q)))),r))),
inference(definition_unfolding,[],[f18,f11,f11,f11,f16]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] : axiom(or(not(X0),or(X1,X0))) = true,
inference(cnf_transformation,[],[f20]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] : axiom(or(not(or(X0,X1)),or(X1,X0))) = true,
inference(cnf_transformation,[],[f21]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))) = true,
inference(cnf_transformation,[],[f22]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))) = true,
inference(cnf_transformation,[],[f23]) ).
tcf(c_66,plain,
! [X0: $i] : ifeq(axiom(X0),true,theorem(X0),true) = true,
inference(cnf_transformation,[],[f13]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] : ifeq(theorem(or(not(X0),X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true) = true,
inference(cnf_transformation,[],[f24]) ).
tcf(c_68,negated_conjecture,
theorem(or(not(or(not(q),r)),or(not(not(or(not(p),not(q)))),r))) != true,
inference(cnf_transformation,[],[f25]) ).
tcf(c_102,definition,
iPr_def_10 = not(q),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_103,definition,
iPr_def_11 = or(iPr_def_10,r),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_104,definition,
iPr_def_12 = not(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_105,definition,
iPr_def_13 = not(p),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_106,definition,
iPr_def_14 = or(iPr_def_13,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_107,definition,
iPr_def_15 = not(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_108,definition,
iPr_def_16 = not(iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_109,definition,
iPr_def_17 = or(iPr_def_16,r),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_110,definition,
iPr_def_18 = or(iPr_def_12,iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_111,definition,
iPr_def_19 = theorem(iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_112,negated_conjecture,
iPr_def_19 != true,
inference(demodulation,[status(thm)],[c_68,c_105,c_106,c_107,c_108,c_109,c_102,c_103,c_104,c_110,c_111]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i] : ifeq(theorem(or(not(X0),X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true) = true,
inference(demodulation,[status(thm)],[c_67]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))) = true,
inference(demodulation,[status(thm)],[c_65]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))) = true,
inference(demodulation,[status(thm)],[c_64]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i] : axiom(or(not(or(X0,X1)),or(X1,X0))) = true,
inference(demodulation,[status(thm)],[c_63]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i] : axiom(or(not(X0),or(X1,X0))) = true,
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_119,plain,
! [X0: $i] : ifeq(axiom(X0),true,theorem(X0),true) = true,
inference(demodulation,[status(thm)],[c_66]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(X0,X0,X1,X2) = X1,
inference(demodulation,[status(thm)],[c_60]) ).
tcf(c_214,plain,
! [X0: $i] : ifeq(theorem(or(not(X0),iPr_def_18)),true,ifeq(theorem(X0),true,iPr_def_19,true),true) = true,
inference(superposition,[status(thm)],[c_111,c_113]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i] : ifeq(true,true,theorem(or(not(X0),or(X1,X0))),true) = true,
inference(superposition,[status(thm)],[c_117,c_119]) ).
tcf(c_235,plain,
! [X0: $i,X1: $i] : ifeq(true,true,theorem(or(not(or(X0,X1)),or(X1,X0))),true) = true,
inference(superposition,[status(thm)],[c_116,c_119]) ).
tcf(c_244,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(true,true,theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),true) = true,
inference(superposition,[status(thm)],[c_115,c_119]) ).
tcf(c_245,plain,
! [X0: $i,X1: $i] : axiom(or(not(or(iPr_def_10,X0)),or(not(or(X1,q)),or(X1,X0)))) = true,
inference(superposition,[status(thm)],[c_102,c_114]) ).
tcf(c_258,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(true,true,theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),true) = true,
inference(superposition,[status(thm)],[c_114,c_119]) ).
tcf(c_300,plain,
! [X0: $i] : ifeq(true,true,theorem(or(iPr_def_10,or(X0,q))),true) = true,
inference(superposition,[status(thm)],[c_102,c_225]) ).
tcf(c_302,plain,
! [X0: $i] : ifeq(true,true,theorem(or(iPr_def_12,or(X0,iPr_def_11))),true) = true,
inference(superposition,[status(thm)],[c_104,c_225]) ).
tcf(c_304,plain,
! [X0: $i] : ifeq(true,true,theorem(or(iPr_def_16,or(X0,iPr_def_15))),true) = true,
inference(superposition,[status(thm)],[c_108,c_225]) ).
tcf(c_306,plain,
ifeq(true,true,theorem(or(not(iPr_def_10),iPr_def_14)),true) = true,
inference(superposition,[status(thm)],[c_106,c_225]) ).
tcf(c_307,plain,
ifeq(true,true,theorem(or(not(r),iPr_def_17)),true) = true,
inference(superposition,[status(thm)],[c_109,c_225]) ).
tcf(c_308,plain,
ifeq(true,true,theorem(or(not(iPr_def_17),iPr_def_18)),true) = true,
inference(superposition,[status(thm)],[c_110,c_225]) ).
tcf(c_400,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(X0,X1)),or(X1,X0))) = true,
inference(superposition,[status(thm)],[c_235,c_120]) ).
tcf(c_468,plain,
axiom(or(not(or(iPr_def_10,r)),or(not(or(iPr_def_16,q)),iPr_def_17))) = true,
inference(superposition,[status(thm)],[c_109,c_245]) ).
tcf(c_508,plain,
! [X0: $i,X1: $i,X2: $i] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))) = true,
inference(superposition,[status(thm)],[c_244,c_120]) ).
tcf(c_514,plain,
! [X0: $i,X1: $i] : ifeq(true,true,theorem(or(not(or(iPr_def_15,X0)),or(not(or(X1,iPr_def_14)),or(X1,X0)))),true) = true,
inference(superposition,[status(thm)],[c_107,c_258]) ).
tcf(c_524,plain,
! [X0: $i,X1: $i,X2: $i] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))) = true,
inference(superposition,[status(thm)],[c_258,c_120]) ).
tcf(c_531,plain,
axiom(or(iPr_def_12,or(not(or(iPr_def_16,q)),iPr_def_17))) = true,
inference(light_normalisation,[status(thm)],[c_468,c_103,c_104]) ).
tcf(c_582,plain,
theorem(or(not(iPr_def_10),iPr_def_14)) = true,
inference(superposition,[status(thm)],[c_120,c_306]) ).
tcf(c_584,plain,
theorem(or(not(r),iPr_def_17)) = true,
inference(superposition,[status(thm)],[c_120,c_307]) ).
tcf(c_586,plain,
theorem(or(not(iPr_def_17),iPr_def_18)) = true,
inference(superposition,[status(thm)],[c_120,c_308]) ).
tcf(c_615,plain,
! [X0: $i,X1: $i] : ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true),true) = true,
inference(superposition,[status(thm)],[c_400,c_113]) ).
tcf(c_617,plain,
ifeq(true,true,theorem(or(iPr_def_12,or(not(or(iPr_def_16,q)),iPr_def_17))),true) = true,
inference(superposition,[status(thm)],[c_531,c_119]) ).
tcf(c_624,plain,
! [X0: $i] : theorem(or(iPr_def_10,or(X0,q))) = true,
inference(superposition,[status(thm)],[c_120,c_300]) ).
tcf(c_632,plain,
! [X0: $i] : theorem(or(iPr_def_12,or(X0,iPr_def_11))) = true,
inference(superposition,[status(thm)],[c_120,c_302]) ).
tcf(c_639,plain,
! [X0: $i] : theorem(or(iPr_def_16,or(X0,iPr_def_15))) = true,
inference(superposition,[status(thm)],[c_120,c_304]) ).
tcf(c_749,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(true,true,ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X1,or(X0,X2))),true),true) = true,
inference(superposition,[status(thm)],[c_508,c_113]) ).
tcf(c_838,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(true,true,ifeq(theorem(or(not(X0),X1)),true,theorem(or(not(or(X2,X0)),or(X2,X1))),true),true) = true,
inference(superposition,[status(thm)],[c_524,c_113]) ).
tcf(c_942,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(iPr_def_15,X0)),or(not(or(X1,iPr_def_14)),or(X1,X0)))) = true,
inference(superposition,[status(thm)],[c_514,c_120]) ).
tcf(c_1140,plain,
! [X0: $i] : ifeq(theorem(or(not(or(not(iPr_def_10),iPr_def_14)),X0)),true,ifeq(true,true,theorem(X0),true),true) = true,
inference(superposition,[status(thm)],[c_582,c_113]) ).
tcf(c_1151,plain,
! [X0: $i] : ifeq(theorem(or(not(or(not(r),iPr_def_17)),X0)),true,ifeq(true,true,theorem(X0),true),true) = true,
inference(superposition,[status(thm)],[c_584,c_113]) ).
tcf(c_1162,plain,
! [X0: $i] : ifeq(theorem(or(not(or(not(iPr_def_17),iPr_def_18)),X0)),true,ifeq(true,true,theorem(X0),true),true) = true,
inference(superposition,[status(thm)],[c_586,c_113]) ).
tcf(c_1197,plain,
! [X0: $i,X1: $i] : ifeq(theorem(or(not(or(iPr_def_10,or(X0,q))),X1)),true,ifeq(true,true,theorem(X1),true),true) = true,
inference(superposition,[status(thm)],[c_624,c_113]) ).
tcf(c_1221,plain,
! [X0: $i,X1: $i] : ifeq(theorem(or(not(or(iPr_def_12,or(X0,iPr_def_11))),X1)),true,ifeq(true,true,theorem(X1),true),true) = true,
inference(superposition,[status(thm)],[c_632,c_113]) ).
tcf(c_1245,plain,
! [X0: $i,X1: $i] : ifeq(theorem(or(not(or(iPr_def_16,or(X0,iPr_def_15))),X1)),true,ifeq(true,true,theorem(X1),true),true) = true,
inference(superposition,[status(thm)],[c_639,c_113]) ).
tcf(c_1570,plain,
theorem(or(iPr_def_12,or(not(or(iPr_def_16,q)),iPr_def_17))) = true,
inference(superposition,[status(thm)],[c_120,c_617]) ).
tcf(c_1921,plain,
! [X0: $i] : ifeq(theorem(or(not(or(not(iPr_def_17),iPr_def_18)),X0)),true,theorem(X0),true) = true,
inference(demodulation,[status(thm)],[c_1162,c_120]) ).
tcf(c_1922,plain,
! [X0: $i] : ifeq(theorem(or(not(or(not(r),iPr_def_17)),X0)),true,theorem(X0),true) = true,
inference(demodulation,[status(thm)],[c_1151,c_120]) ).
tcf(c_1923,plain,
! [X0: $i] : ifeq(theorem(or(not(or(not(iPr_def_10),iPr_def_14)),X0)),true,theorem(X0),true) = true,
inference(demodulation,[status(thm)],[c_1140,c_120]) ).
tcf(c_1937,plain,
! [X0: $i,X1: $i] : ifeq(theorem(or(not(or(iPr_def_16,or(X0,iPr_def_15))),X1)),true,theorem(X1),true) = true,
inference(demodulation,[status(thm)],[c_1245,c_120]) ).
tcf(c_1939,plain,
! [X0: $i,X1: $i] : ifeq(theorem(or(not(or(iPr_def_12,or(X0,iPr_def_11))),X1)),true,theorem(X1),true) = true,
inference(demodulation,[status(thm)],[c_1221,c_120]) ).
tcf(c_1941,plain,
! [X0: $i,X1: $i] : ifeq(theorem(or(not(or(iPr_def_10,or(X0,q))),X1)),true,theorem(X1),true) = true,
inference(demodulation,[status(thm)],[c_1197,c_120]) ).
tcf(c_3823,plain,
! [X0: $i] : ifeq(true,true,theorem(or(not(or(X0,iPr_def_17)),or(X0,iPr_def_18))),true) = true,
inference(superposition,[status(thm)],[c_524,c_1921]) ).
tcf(c_5290,plain,
! [X0: $i] : theorem(or(not(or(X0,iPr_def_17)),or(X0,iPr_def_18))) = true,
inference(superposition,[status(thm)],[c_3823,c_120]) ).
tcf(c_5328,plain,
! [X0: $i] : ifeq(true,true,theorem(or(X0,or(iPr_def_16,iPr_def_15))),true) = true,
inference(superposition,[status(thm)],[c_508,c_1937]) ).
tcf(c_6233,plain,
ifeq(true,true,theorem(or(not(r),iPr_def_18)),true) = true,
inference(superposition,[status(thm)],[c_5290,c_1922]) ).
tcf(c_6267,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_16,iPr_def_15))) = true,
inference(superposition,[status(thm)],[c_5328,c_120]) ).
tcf(c_7013,plain,
theorem(or(not(r),iPr_def_18)) = true,
inference(superposition,[status(thm)],[c_120,c_6233]) ).
tcf(c_7582,plain,
ifeq(true,true,theorem(or(iPr_def_16,iPr_def_15)),true) = true,
inference(superposition,[status(thm)],[c_6267,c_1939]) ).
tcf(c_7791,plain,
! [X0: $i] : ifeq(theorem(or(not(or(not(r),iPr_def_18)),X0)),true,ifeq(true,true,theorem(X0),true),true) = true,
inference(superposition,[status(thm)],[c_7013,c_113]) ).
tcf(c_7990,plain,
theorem(or(iPr_def_16,iPr_def_15)) = true,
inference(superposition,[status(thm)],[c_120,c_7582]) ).
tcf(c_8821,plain,
! [X0: $i] : ifeq(theorem(or(not(or(not(r),iPr_def_18)),X0)),true,theorem(X0),true) = true,
inference(demodulation,[status(thm)],[c_7791,c_120]) ).
tcf(c_8930,plain,
! [X0: $i] : ifeq(theorem(or(not(or(iPr_def_16,iPr_def_15)),X0)),true,ifeq(true,true,theorem(X0),true),true) = true,
inference(superposition,[status(thm)],[c_7990,c_113]) ).
tcf(c_9814,plain,
ifeq(true,true,theorem(or(iPr_def_18,not(r))),true) = true,
inference(superposition,[status(thm)],[c_400,c_8821]) ).
tcf(c_10288,plain,
! [X0: $i] : ifeq(theorem(or(not(or(iPr_def_16,iPr_def_15)),X0)),true,theorem(X0),true) = true,
inference(demodulation,[status(thm)],[c_8930,c_120]) ).
tcf(c_10715,plain,
theorem(or(iPr_def_18,not(r))) = true,
inference(superposition,[status(thm)],[c_120,c_9814]) ).
tcf(c_10802,plain,
ifeq(true,true,theorem(or(iPr_def_15,iPr_def_16)),true) = true,
inference(superposition,[status(thm)],[c_400,c_10288]) ).
tcf(c_11299,plain,
! [X0: $i] : ifeq(true,true,theorem(or(X0,or(iPr_def_10,q))),true) = true,
inference(superposition,[status(thm)],[c_508,c_1941]) ).
tcf(c_11749,plain,
! [X0: $i] : ifeq(theorem(or(not(or(iPr_def_18,not(r))),X0)),true,ifeq(true,true,theorem(X0),true),true) = true,
inference(superposition,[status(thm)],[c_10715,c_113]) ).
tcf(c_12091,plain,
theorem(or(iPr_def_15,iPr_def_16)) = true,
inference(superposition,[status(thm)],[c_120,c_10802]) ).
tcf(c_12243,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_10,q))) = true,
inference(superposition,[status(thm)],[c_11299,c_120]) ).
tcf(c_12813,plain,
! [X0: $i] : ifeq(theorem(or(not(or(iPr_def_18,not(r))),X0)),true,theorem(X0),true) = true,
inference(demodulation,[status(thm)],[c_11749,c_120]) ).
tcf(c_12865,plain,
! [X0: $i] : ifeq(theorem(or(not(or(iPr_def_15,iPr_def_16)),X0)),true,ifeq(true,true,theorem(X0),true),true) = true,
inference(superposition,[status(thm)],[c_12091,c_113]) ).
tcf(c_13734,plain,
ifeq(true,true,theorem(or(iPr_def_10,q)),true) = true,
inference(superposition,[status(thm)],[c_12243,c_12813]) ).
tcf(c_13925,plain,
! [X0: $i] : ifeq(theorem(or(not(or(iPr_def_15,iPr_def_16)),X0)),true,theorem(X0),true) = true,
inference(demodulation,[status(thm)],[c_12865,c_120]) ).
tcf(c_14722,plain,
theorem(or(iPr_def_10,q)) = true,
inference(superposition,[status(thm)],[c_120,c_13734]) ).
tcf(c_14922,plain,
! [X0: $i] : ifeq(true,true,theorem(or(not(or(X0,iPr_def_14)),or(X0,iPr_def_16))),true) = true,
inference(superposition,[status(thm)],[c_942,c_13925]) ).
tcf(c_15490,plain,
! [X0: $i] : ifeq(theorem(or(not(or(iPr_def_10,q)),X0)),true,ifeq(true,true,theorem(X0),true),true) = true,
inference(superposition,[status(thm)],[c_14722,c_113]) ).
tcf(c_16658,plain,
! [X0: $i] : ifeq(theorem(or(not(or(iPr_def_10,q)),X0)),true,theorem(X0),true) = true,
inference(demodulation,[status(thm)],[c_15490,c_120]) ).
tcf(c_17005,plain,
ifeq(true,true,theorem(or(q,iPr_def_10)),true) = true,
inference(superposition,[status(thm)],[c_400,c_16658]) ).
tcf(c_17866,plain,
theorem(or(q,iPr_def_10)) = true,
inference(superposition,[status(thm)],[c_120,c_17005]) ).
tcf(c_17976,plain,
! [X0: $i] : theorem(or(not(or(X0,iPr_def_14)),or(X0,iPr_def_16))) = true,
inference(superposition,[status(thm)],[c_14922,c_120]) ).
tcf(c_18385,plain,
! [X0: $i,X1: $i] : ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true) = true,
inference(superposition,[status(thm)],[c_615,c_120]) ).
tcf(c_19025,plain,
! [X0: $i] : ifeq(theorem(or(not(or(q,iPr_def_10)),X0)),true,ifeq(true,true,theorem(X0),true),true) = true,
inference(superposition,[status(thm)],[c_17866,c_113]) ).
tcf(c_20012,plain,
! [X0: $i] : ifeq(theorem(or(not(or(q,iPr_def_10)),X0)),true,theorem(X0),true) = true,
inference(demodulation,[status(thm)],[c_19025,c_120]) ).
tcf(c_23800,plain,
ifeq(true,true,theorem(or(not(iPr_def_10),iPr_def_16)),true) = true,
inference(superposition,[status(thm)],[c_17976,c_1923]) ).
tcf(c_25782,plain,
theorem(or(not(iPr_def_10),iPr_def_16)) = true,
inference(superposition,[status(thm)],[c_120,c_23800]) ).
tcf(c_35334,plain,
ifeq(true,true,ifeq(true,true,theorem(or(not(or(iPr_def_16,q)),or(iPr_def_12,iPr_def_17))),true),true) = true,
inference(superposition,[status(thm)],[c_1570,c_749]) ).
tcf(c_36008,plain,
theorem(or(not(or(iPr_def_16,q)),or(iPr_def_12,iPr_def_17))) = true,
inference(demodulation,[status(thm)],[c_35334,c_120]) ).
tcf(c_36009,plain,
theorem(or(not(or(iPr_def_16,q)),iPr_def_18)) = true,
inference(light_normalisation,[status(thm)],[c_36008,c_110]) ).
tcf(c_48066,plain,
! [X0: $i] : ifeq(true,true,ifeq(true,true,theorem(or(not(or(X0,iPr_def_10)),or(X0,iPr_def_16))),true),true) = true,
inference(superposition,[status(thm)],[c_25782,c_838]) ).
tcf(c_48288,plain,
! [X0: $i] : theorem(or(not(or(X0,iPr_def_10)),or(X0,iPr_def_16))) = true,
inference(demodulation,[status(thm)],[c_48066,c_120]) ).
tcf(c_49399,plain,
ifeq(true,true,theorem(or(q,iPr_def_16)),true) = true,
inference(superposition,[status(thm)],[c_48288,c_20012]) ).
tcf(c_49690,plain,
theorem(or(q,iPr_def_16)) = true,
inference(superposition,[status(thm)],[c_120,c_49399]) ).
tcf(c_52383,plain,
ifeq(true,true,theorem(or(iPr_def_16,q)),true) = true,
inference(superposition,[status(thm)],[c_49690,c_18385]) ).
tcf(c_55116,plain,
theorem(or(iPr_def_16,q)) = true,
inference(superposition,[status(thm)],[c_120,c_52383]) ).
tcf(c_56242,plain,
ifeq(theorem(or(not(or(iPr_def_16,q)),iPr_def_18)),true,ifeq(true,true,iPr_def_19,true),true) = true,
inference(superposition,[status(thm)],[c_55116,c_214]) ).
tcf(c_56950,plain,
ifeq(theorem(or(not(or(iPr_def_16,q)),iPr_def_18)),true,iPr_def_19,true) = true,
inference(demodulation,[status(thm)],[c_56242,c_120]) ).
tcf(c_56951,plain,
ifeq(true,true,iPr_def_19,true) = true,
inference(light_normalisation,[status(thm)],[c_56950,c_36009]) ).
tcf(c_56952,plain,
true = iPr_def_19,
inference(demodulation,[status(thm)],[c_56951,c_120]) ).
tcf(c_58047,plain,
iPr_def_19 != iPr_def_19,
inference(demodulation,[status(thm)],[c_112,c_56952]) ).
tcf(c_58049,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_58047]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL250-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/10.38 % Computer : n002.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Wed Sep 23 22:38:33 UTC 2026
% 0.10/10.39 % CPUTime :
% 0.10/10.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/10.45 Running UEQ theorem proving
% 0.14/10.45 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
% 0.14/10.46
% 0.14/10.46 % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.46
% 0.14/10.47 % Detected problem language: tptp
% 0.14/10.48 % Proving...
% 256.81/48.75 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 256.81/48.75 % SZS status Started for theBenchmark.p
% 256.81/48.75 % SZS status Unsatisfiable for theBenchmark.p
% 256.81/48.75
% 256.81/48.75 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 256.81/48.75
% 256.81/48.75 % ------ iProver source info
% 256.81/48.75
% 256.81/48.75 % git: date: 2026-07-19 20:42:38 +0200
% 256.81/48.75 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 256.81/48.75 % git: non_committed_changes: false
% 256.81/48.75
% 256.81/48.75 % ------ Parsing...% successful
% 256.81/48.75
% 256.81/48.75
% 256.81/48.75 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 256.81/48.75
% 256.81/48.75 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 256.81/48.75
% 256.81/48.75 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 256.81/48.75
% 256.81/48.75 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 256.81/48.75 % ------ Proving...
% 256.81/48.75 % ------ Problem Properties
% 256.81/48.75
% 256.81/48.75 %
% 256.81/48.75 % clauses 19
% 256.81/48.75 % conjectures 1
% 256.81/48.75 % EPR 1
% 256.81/48.75 % Horn 19
% 256.81/48.75 % unary 19
% 256.81/48.75 % binary 0
% 256.81/48.76 % lits 19
% 256.81/48.76 % lits eq 19
% 256.81/48.76 % fd_pure 0
% 256.81/48.76 % fd_pseudo 0
% 256.81/48.76 % fd_cond 0
% 256.81/48.76 % fd_pseudo_cond 0
% 256.81/48.76 % AC symbols 0
% 256.81/48.76
% 256.81/48.76 % ------ Input Options Time Limit: Unbounded
% 256.81/48.76
% 256.81/48.76
% 256.81/48.76 % ------
% 256.81/48.76 % Current options:
% 256.81/48.76 % ------
% 256.81/48.76
% 256.81/48.76
% 256.81/48.76 %
% 256.81/48.76
% 256.81/48.76 % ------ Proving...
% 256.81/48.76 %
% 256.81/48.76
% 256.81/48.76 % SZS status Unsatisfiable for theBenchmark.p
% 256.81/48.76
% 256.81/48.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 256.81/48.76
% 256.81/48.76
%------------------------------------------------------------------------------