%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KLE145-10 : 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 : n010.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 01:52:30 PM UTC 2026
% Result : Unsatisfiable 11.57s 6.98s
% Output : CNFRefutation 11.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 20
% Syntax : Number of formulae : 101 ( 101 unt; 2 def)
% Number of atoms : 159 ( 100 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-4 aty)
% Number of variables : 157 ( 0 sgn 157 !; 0 ?; 110 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq3(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f3,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_002) ).
fof(f4,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f5,axiom,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f7,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence) ).
fof(f8,axiom,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f9,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f10,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f11,axiom,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
fof(f12,axiom,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2) ).
fof(f15,axiom,
! [X0] : addition(one,multiplication(X0,star(X0))) = star(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold1) ).
fof(f16,plain,
! [X0] : star(X0) = addition(one,multiplication(X0,star(X0))),
inference(reorient_equations,[],[f15]) ).
fof(f19,axiom,
! [X2,X0,X1] : ifeq(leq(addition(multiplication(X0,X1),X2),X1),true,leq(multiplication(star(X0),X2),X1),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_induction1) ).
fof(f20,plain,
! [X2,X0,X1] : true = ifeq(leq(addition(multiplication(X0,X1),X2),X1),true,leq(multiplication(star(X0),X2),X1),true),
inference(reorient_equations,[],[f19]) ).
fof(f23,axiom,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infty_unfold1) ).
fof(f24,axiom,
! [X2,X0,X1] : ifeq(leq(X0,addition(multiplication(X1,X0),X2)),true,leq(X0,multiplication(strong_iteration(X1),X2)),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infty_coinduction) ).
fof(f25,plain,
! [X2,X0,X1] : true = ifeq(leq(X0,addition(multiplication(X1,X0),X2)),true,leq(X0,multiplication(strong_iteration(X1),X2)),true),
inference(reorient_equations,[],[f24]) ).
fof(f27,axiom,
! [X0,X1] : ifeq2(leq(X0,X1),true,addition(X0,X1),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order_1) ).
fof(f28,axiom,
! [X0,X1] : ifeq3(addition(X0,X1),X1,leq(X0,X1),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
fof(f29,plain,
! [X0,X1] : true = ifeq3(addition(X0,X1),X1,leq(X0,X1),true),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
star(strong_iteration(sK1_goals_X0)) != strong_iteration(sK1_goals_X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f31,plain,
strong_iteration(sK1_goals_X0) != star(strong_iteration(sK1_goals_X0)),
inference(reorient_equations,[],[f30]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq3(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq2(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[],[f3]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i] : addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f5]) ).
tcf(c_78,plain,
! [X0: $i] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] : multiplication(multiplication(X0,X1),X2) = multiplication(X0,multiplication(X1,X2)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_80,plain,
! [X0: $i] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f9]) ).
tcf(c_81,plain,
! [X0: $i] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f10]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] : addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f11]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] : addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
inference(cnf_transformation,[],[f12]) ).
tcf(c_85,plain,
! [X0: $i] : addition(one,multiplication(X0,star(X0))) = star(X0),
inference(cnf_transformation,[],[f16]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(leq(addition(multiplication(X0,X1),X2),X1),true,leq(multiplication(star(X0),X2),X1),true) = true,
inference(cnf_transformation,[],[f20]) ).
tcf(c_89,plain,
! [X0: $i] : addition(multiplication(X0,strong_iteration(X0)),one) = strong_iteration(X0),
inference(cnf_transformation,[],[f23]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(leq(X0,addition(multiplication(X1,X0),X2)),true,leq(X0,multiplication(strong_iteration(X1),X2)),true) = true,
inference(cnf_transformation,[],[f25]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i] : ifeq2(leq(X0,X1),true,addition(X0,X1),X1) = X1,
inference(cnf_transformation,[],[f27]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] : ifeq3(addition(X0,X1),X1,leq(X0,X1),true) = true,
inference(cnf_transformation,[],[f29]) ).
tcf(c_94,negated_conjecture,
star(strong_iteration(sK1_goals_X0)) != strong_iteration(sK1_goals_X0),
inference(cnf_transformation,[],[f31]) ).
tcf(c_173,definition,
iPr_def_10 = strong_iteration(sK1_goals_X0),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_174,definition,
iPr_def_11 = star(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_175,negated_conjecture,
iPr_def_11 != iPr_def_10,
inference(demodulation,[status(thm)],[c_94,c_173,c_174]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i] : ifeq3(addition(X0,X1),X1,leq(X0,X1),true) = true,
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i] : ifeq2(leq(X0,X1),true,addition(X0,X1),X1) = X1,
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(leq(X0,addition(multiplication(X1,X0),X2)),true,leq(X0,multiplication(strong_iteration(X1),X2)),true) = true,
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_180,plain,
! [X0: $i] : addition(multiplication(X0,strong_iteration(X0)),one) = strong_iteration(X0),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(leq(addition(multiplication(X0,X1),X2),X1),true,leq(multiplication(star(X0),X2),X1),true) = true,
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_184,plain,
! [X0: $i] : addition(one,multiplication(X0,star(X0))) = star(X0),
inference(demodulation,[status(thm)],[c_85]) ).
tcf(c_186,plain,
! [X0: $i,X1: $i,X2: $i] : addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
inference(demodulation,[status(thm)],[c_83]) ).
tcf(c_187,plain,
! [X0: $i,X1: $i,X2: $i] : addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2)),
inference(demodulation,[status(thm)],[c_82]) ).
tcf(c_188,plain,
! [X0: $i] : multiplication(one,X0) = X0,
inference(demodulation,[status(thm)],[c_81]) ).
tcf(c_189,plain,
! [X0: $i] : multiplication(X0,one) = X0,
inference(demodulation,[status(thm)],[c_80]) ).
tcf(c_190,plain,
! [X0: $i,X1: $i,X2: $i] : multiplication(multiplication(X0,X1),X2) = multiplication(X0,multiplication(X1,X2)),
inference(demodulation,[status(thm)],[c_79]) ).
tcf(c_191,plain,
! [X0: $i] : addition(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_78]) ).
tcf(c_193,plain,
! [X0: $i,X1: $i,X2: $i] : addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(demodulation,[status(thm)],[c_76]) ).
tcf(c_194,plain,
! [X0: $i,X1: $i] : addition(X0,X1) = addition(X1,X0),
inference(demodulation,[status(thm)],[c_75]) ).
tcf(c_195,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(X0,X0,X1,X2) = X1,
inference(demodulation,[status(thm)],[c_74]) ).
tcf(c_196,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq2(X0,X0,X1,X2) = X1,
inference(demodulation,[status(thm)],[c_73]) ).
tcf(c_197,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq3(X0,X0,X1,X2) = X1,
inference(demodulation,[status(thm)],[c_72]) ).
tcf(c_326,plain,
! [X0: $i] : addition(one,multiplication(X0,strong_iteration(X0))) = strong_iteration(X0),
inference(demodulation,[status(thm)],[c_180,c_194]) ).
tcf(c_327,plain,
! [X0: $i,X1: $i,X2: $i] : addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(superposition,[status(thm)],[c_193,c_194]) ).
tcf(c_384,plain,
addition(one,multiplication(sK1_goals_X0,iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_173,c_326]) ).
tcf(c_398,plain,
! [X0: $i,X1: $i] : addition(X0,multiplication(X1,X0)) = multiplication(addition(one,X1),X0),
inference(superposition,[status(thm)],[c_188,c_186]) ).
tcf(c_421,plain,
! [X0: $i,X1: $i] : addition(X0,multiplication(X0,X1)) = multiplication(X0,addition(one,X1)),
inference(superposition,[status(thm)],[c_189,c_187]) ).
tcf(c_428,plain,
! [X0: $i,X1: $i] : ifeq(leq(addition(multiplication(X0,X1),one),X1),true,leq(star(X0),X1),true) = true,
inference(superposition,[status(thm)],[c_189,c_182]) ).
tcf(c_430,plain,
! [X0: $i,X1: $i] : ifeq(leq(X0,addition(multiplication(X1,X0),one)),true,leq(X0,strong_iteration(X1)),true) = true,
inference(superposition,[status(thm)],[c_189,c_179]) ).
tcf(c_432,plain,
! [X0: $i,X1: $i] : ifeq(leq(X0,addition(one,multiplication(X1,X0))),true,leq(X0,strong_iteration(X1)),true) = true,
inference(demodulation,[status(thm)],[c_430,c_194]) ).
tcf(c_433,plain,
! [X0: $i,X1: $i] : ifeq(leq(addition(one,multiplication(X0,X1)),X1),true,leq(star(X0),X1),true) = true,
inference(demodulation,[status(thm)],[c_428,c_194]) ).
tcf(c_445,plain,
! [X0: $i,X1: $i] : addition(one,multiplication(X0,multiplication(X1,star(multiplication(X0,X1))))) = star(multiplication(X0,X1)),
inference(superposition,[status(thm)],[c_190,c_184]) ).
tcf(c_454,plain,
! [X0: $i] : ifeq3(X0,X0,leq(X0,X0),true) = true,
inference(superposition,[status(thm)],[c_191,c_176]) ).
tcf(c_460,plain,
! [X0: $i] : leq(X0,X0) = true,
inference(demodulation,[status(thm)],[c_454,c_197]) ).
tcf(c_471,plain,
! [X0: $i,X1: $i] : addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_191,c_193]) ).
tcf(c_474,plain,
! [X0: $i,X1: $i] : addition(one,addition(multiplication(X0,star(X0)),X1)) = addition(star(X0),X1),
inference(superposition,[status(thm)],[c_184,c_193]) ).
tcf(c_482,plain,
! [X0: $i] : addition(one,addition(multiplication(sK1_goals_X0,iPr_def_10),X0)) = addition(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_384,c_193]) ).
tcf(c_509,plain,
! [X0: $i,X1: $i] : ifeq2(leq(X0,X1),true,addition(X1,X0),X1) = X1,
inference(superposition,[status(thm)],[c_194,c_177]) ).
tcf(c_5536,plain,
! [X0: $i] : addition(one,star(X0)) = star(X0),
inference(superposition,[status(thm)],[c_184,c_471]) ).
tcf(c_5887,plain,
! [X0: $i] : addition(star(X0),multiplication(X0,star(X0))) = addition(one,multiplication(X0,star(X0))),
inference(superposition,[status(thm)],[c_191,c_474]) ).
tcf(c_5929,plain,
! [X0: $i] : multiplication(addition(one,X0),star(X0)) = star(X0),
inference(demodulation,[status(thm)],[c_5887,c_184,c_398]) ).
tcf(c_6010,plain,
! [X0: $i,X1: $i] : addition(one,addition(X0,star(X1))) = addition(X0,star(X1)),
inference(superposition,[status(thm)],[c_5536,c_327]) ).
tcf(c_10594,plain,
multiplication(iPr_def_10,star(multiplication(sK1_goals_X0,iPr_def_10))) = star(multiplication(sK1_goals_X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_384,c_5929]) ).
tcf(c_10637,plain,
! [X0: $i] : multiplication(addition(one,X0),addition(one,star(X0))) = addition(addition(one,X0),star(X0)),
inference(superposition,[status(thm)],[c_5929,c_421]) ).
tcf(c_10684,plain,
! [X0: $i] : addition(X0,star(X0)) = star(X0),
inference(demodulation,[status(thm)],[c_10637,c_193,c_5536,c_5929,c_6010]) ).
tcf(c_10740,plain,
addition(iPr_def_10,iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_174,c_10684]) ).
tcf(c_10789,plain,
addition(one,star(multiplication(sK1_goals_X0,iPr_def_10))) = addition(iPr_def_10,star(multiplication(sK1_goals_X0,iPr_def_10))),
inference(superposition,[status(thm)],[c_10684,c_482]) ).
tcf(c_10791,plain,
addition(iPr_def_10,star(multiplication(sK1_goals_X0,iPr_def_10))) = star(multiplication(sK1_goals_X0,iPr_def_10)),
inference(demodulation,[status(thm)],[c_10789,c_5536]) ).
tcf(c_11047,plain,
ifeq(leq(addition(one,star(multiplication(sK1_goals_X0,iPr_def_10))),star(multiplication(sK1_goals_X0,iPr_def_10))),true,leq(star(iPr_def_10),star(multiplication(sK1_goals_X0,iPr_def_10))),true) = true,
inference(superposition,[status(thm)],[c_10594,c_433]) ).
tcf(c_11087,plain,
addition(one,multiplication(sK1_goals_X0,star(multiplication(sK1_goals_X0,iPr_def_10)))) = star(multiplication(sK1_goals_X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_10594,c_445]) ).
tcf(c_11104,plain,
leq(iPr_def_11,star(multiplication(sK1_goals_X0,iPr_def_10))) = true,
inference(demodulation,[status(thm)],[c_11047,c_195,c_174,c_460,c_5536]) ).
tcf(c_11182,plain,
ifeq2(leq(iPr_def_11,iPr_def_10),true,iPr_def_11,iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_10740,c_509]) ).
tcf(c_11212,plain,
ifeq2(leq(star(multiplication(sK1_goals_X0,iPr_def_10)),iPr_def_10),true,star(multiplication(sK1_goals_X0,iPr_def_10)),iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_10791,c_509]) ).
tcf(c_11990,plain,
ifeq(leq(star(multiplication(sK1_goals_X0,iPr_def_10)),star(multiplication(sK1_goals_X0,iPr_def_10))),true,leq(star(multiplication(sK1_goals_X0,iPr_def_10)),strong_iteration(sK1_goals_X0)),true) = true,
inference(superposition,[status(thm)],[c_11087,c_432]) ).
tcf(c_11998,plain,
leq(star(multiplication(sK1_goals_X0,iPr_def_10)),iPr_def_10) = true,
inference(demodulation,[status(thm)],[c_11990,c_195,c_173,c_460]) ).
tcf(c_12899,plain,
ifeq2(true,true,star(multiplication(sK1_goals_X0,iPr_def_10)),iPr_def_10) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_11212,c_11998]) ).
tcf(c_12900,plain,
star(multiplication(sK1_goals_X0,iPr_def_10)) = iPr_def_10,
inference(superposition,[status(thm)],[c_196,c_12899]) ).
tcf(c_12906,plain,
leq(iPr_def_11,iPr_def_10) = true,
inference(demodulation,[status(thm)],[c_11104,c_12900]) ).
tcf(c_12913,plain,
ifeq2(true,true,iPr_def_11,iPr_def_10) = iPr_def_10,
inference(demodulation,[status(thm)],[c_11182,c_12906]) ).
tcf(c_12915,plain,
iPr_def_10 = iPr_def_11,
inference(demodulation,[status(thm)],[c_12913,c_196]) ).
tcf(c_12961,plain,
iPr_def_10 != iPr_def_10,
inference(demodulation,[status(thm)],[c_175,c_12915]) ).
tcf(c_12962,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_12961]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE145-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.40 % Computer : n010.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Wed Sep 23 19:04:27 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.46 Running UEQ theorem proving
% 0.14/0.46 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
% 0.14/0.47
% 0.14/0.47 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.47
% 0.14/0.48 % Detected problem language: tptp
% 0.21/0.49 % Proving...
% 11.57/6.98 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 11.57/6.98 % SZS status Started for theBenchmark.p
% 11.57/6.98 % SZS status Unsatisfiable for theBenchmark.p
% 11.57/6.98
% 11.57/6.98 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 11.57/6.98
% 11.57/6.98 % ------ iProver source info
% 11.57/6.98
% 11.57/6.98 % git: date: 2026-07-19 20:42:38 +0200
% 11.57/6.98 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 11.57/6.98 % git: non_committed_changes: false
% 11.57/6.98
% 11.57/6.98 % ------ Parsing...% successful
% 11.57/6.98
% 11.57/6.98
% 11.57/6.98 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 11.57/6.98
% 11.57/6.98 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 11.57/6.98
% 11.57/6.98 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 11.57/6.98
% 11.57/6.98 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 11.57/6.98 % ------ Proving...
% 11.57/6.98 % ------ Problem Properties
% 11.57/6.98
% 11.57/6.98 %
% 11.57/6.98 % clauses 25
% 11.57/6.98 % conjectures 1
% 11.57/6.98 % EPR 1
% 11.57/6.98 % Horn 25
% 11.57/6.98 % unary 25
% 11.57/6.98 % binary 0
% 11.57/6.98 % lits 25
% 11.57/6.98 % lits eq 25
% 11.57/6.98 % fd_pure 0
% 11.57/6.98 % fd_pseudo 0
% 11.57/6.98 % fd_cond 0
% 11.57/6.98 % fd_pseudo_cond 0
% 11.57/6.98 % AC symbols 1
% 11.57/6.98
% 11.57/6.98 % ------ Input Options Time Limit: Unbounded
% 11.57/6.98
% 11.57/6.98
% 11.57/6.98 % ------
% 11.57/6.98 % Current options:
% 11.57/6.98 % ------
% 11.57/6.98
% 11.57/6.98
% 11.57/6.98 %
% 11.57/6.98
% 11.57/6.98 % ------ Proving...
% 11.57/6.98 %
% 11.57/6.98
% 11.57/6.98 % SZS status Unsatisfiable for theBenchmark.p
% 11.57/6.98
% 11.57/6.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.57/6.98
% 11.57/6.98
%------------------------------------------------------------------------------