%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : BOO004-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n007.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 01:00:08 PM UTC 2026
% Result : Unsatisfiable 4.35s 3.74s
% Output : CNFRefutation 4.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 17
% Syntax : Number of formulae : 93 ( 93 unt; 0 def)
% Number of atoms : 93 ( 92 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-4 aty)
% Number of variables : 236 ( 0 sgn 236 !; 0 ?; 152 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f3,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f4,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f5,plain,
! [X0,X1] : true = product(X0,X1,multiply(X0,X1)),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X2,X0,X1] : ifeq(sum(X0,X1,X2),true,sum(X1,X0,X2),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f7,plain,
! [X2,X0,X1] : true = ifeq(sum(X0,X1,X2),true,sum(X1,X0,X2),true),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X2,X0,X1] : ifeq(product(X0,X1,X2),true,product(X1,X0,X2),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_multiplication) ).
fof(f9,plain,
! [X2,X0,X1] : true = ifeq(product(X0,X1,X2),true,product(X1,X0,X2),true),
inference(reorient_equations,[],[f8]) ).
fof(f10,axiom,
! [X0] : sum(additive_identity,X0,X0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity1) ).
fof(f11,plain,
! [X0] : true = sum(additive_identity,X0,X0),
inference(reorient_equations,[],[f10]) ).
fof(f12,axiom,
! [X0] : sum(X0,additive_identity,X0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity2) ).
fof(f13,plain,
! [X0] : true = sum(X0,additive_identity,X0),
inference(reorient_equations,[],[f12]) ).
fof(f14,axiom,
! [X0] : product(multiplicative_identity,X0,X0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity1) ).
fof(f15,plain,
! [X0] : true = product(multiplicative_identity,X0,X0),
inference(reorient_equations,[],[f14]) ).
fof(f16,axiom,
! [X0] : product(X0,multiplicative_identity,X0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity2) ).
fof(f17,plain,
! [X0] : true = product(X0,multiplicative_identity,X0),
inference(reorient_equations,[],[f16]) ).
fof(f18,axiom,
! [X2,X3,X0,X1,X6,X4,X5] : ifeq(product(X0,X1,X2),true,ifeq(product(X0,X3,X4),true,ifeq(product(X0,X5,X6),true,ifeq(sum(X5,X3,X1),true,sum(X6,X4,X2),true),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
fof(f19,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X0,X3,X4),true,ifeq(product(X0,X5,X6),true,ifeq(sum(X5,X3,X1),true,sum(X6,X4,X2),true),true),true),true),
inference(reorient_equations,[],[f18]) ).
fof(f20,axiom,
! [X2,X3,X0,X1,X6,X4,X5] : ifeq(product(X0,X1,X2),true,ifeq(product(X0,X3,X4),true,ifeq(sum(X4,X2,X5),true,ifeq(sum(X3,X1,X6),true,product(X0,X6,X5),true),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity2) ).
fof(f21,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X0,X3,X4),true,ifeq(sum(X4,X2,X5),true,ifeq(sum(X3,X1,X6),true,product(X0,X6,X5),true),true),true),true),
inference(reorient_equations,[],[f20]) ).
fof(f26,axiom,
! [X2,X3,X0,X1,X6,X4,X5] : ifeq(product(X0,X1,X2),true,ifeq(sum(X3,X2,X4),true,ifeq(sum(X3,X1,X5),true,ifeq(sum(X3,X0,X6),true,product(X6,X5,X4),true),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity5) ).
fof(f27,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(product(X0,X1,X2),true,ifeq(sum(X3,X2,X4),true,ifeq(sum(X3,X1,X5),true,ifeq(sum(X3,X0,X6),true,product(X6,X5,X4),true),true),true),true),
inference(reorient_equations,[],[f26]) ).
fof(f40,axiom,
! [X0] : product(X0,inverse(X0),additive_identity) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse2) ).
fof(f41,plain,
! [X0] : true = product(X0,inverse(X0),additive_identity),
inference(reorient_equations,[],[f40]) ).
fof(f42,axiom,
! [X2,X3,X0,X1] : ifeq2(sum(X0,X1,X2),true,ifeq2(sum(X0,X1,X3),true,X3,X2),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f43,axiom,
! [X2,X3,X0,X1] : ifeq2(product(X0,X1,X2),true,ifeq2(product(X0,X1,X3),true,X3,X2),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f44,negated_conjecture,
sum(x,x,x) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_both_equalities) ).
fof(f45,plain,
true != sum(x,x,x),
inference(reorient_equations,[],[f44]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq2(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] : sum(X0,X1,add(X0,X1)) = true,
inference(cnf_transformation,[],[f3]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] : product(X0,X1,multiply(X0,X1)) = true,
inference(cnf_transformation,[],[f5]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(sum(X0,X1,X2),true,sum(X1,X0,X2),true) = true,
inference(cnf_transformation,[],[f7]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(product(X0,X1,X2),true,product(X1,X0,X2),true) = true,
inference(cnf_transformation,[],[f9]) ).
tcf(c_80,plain,
! [X0: $i] : sum(additive_identity,X0,X0) = true,
inference(cnf_transformation,[],[f11]) ).
tcf(c_81,plain,
! [X0: $i] : sum(X0,additive_identity,X0) = true,
inference(cnf_transformation,[],[f13]) ).
tcf(c_82,plain,
! [X0: $i] : product(multiplicative_identity,X0,X0) = true,
inference(cnf_transformation,[],[f15]) ).
tcf(c_83,plain,
! [X0: $i] : product(X0,multiplicative_identity,X0) = true,
inference(cnf_transformation,[],[f17]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : ifeq(product(X0,X1,X2),true,ifeq(product(X0,X3,X4),true,ifeq(product(X0,X5,X6),true,ifeq(sum(X5,X3,X1),true,sum(X6,X4,X2),true),true),true),true) = true,
inference(cnf_transformation,[],[f19]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : ifeq(product(X0,X1,X2),true,ifeq(product(X0,X3,X4),true,ifeq(sum(X4,X2,X5),true,ifeq(sum(X3,X1,X6),true,product(X0,X6,X5),true),true),true),true) = true,
inference(cnf_transformation,[],[f21]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : ifeq(product(X0,X1,X2),true,ifeq(sum(X3,X2,X4),true,ifeq(sum(X3,X1,X5),true,ifeq(sum(X3,X0,X6),true,product(X6,X5,X4),true),true),true),true) = true,
inference(cnf_transformation,[],[f27]) ).
tcf(c_95,plain,
! [X0: $i] : product(X0,inverse(X0),additive_identity) = true,
inference(cnf_transformation,[],[f41]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(sum(X0,X1,X2),true,ifeq2(sum(X0,X1,X3),true,X3,X2),X2) = X2,
inference(cnf_transformation,[],[f42]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq2(product(X0,X1,X2),true,ifeq2(product(X0,X1,X3),true,X3,X2),X2) = X2,
inference(cnf_transformation,[],[f43]) ).
tcf(c_98,negated_conjecture,
sum(x,x,x) != true,
inference(cnf_transformation,[],[f45]) ).
tcf(c_2377,plain,
! [X0: $i,X1: $i] : ifeq(true,true,sum(X0,X1,add(X1,X0)),true) = true,
inference(superposition,[status(thm)],[c_76,c_78]) ).
tcf(c_2389,plain,
! [X0: $i,X1: $i] : sum(X0,X1,add(X1,X0)) = true,
inference(superposition,[status(thm)],[c_2377,c_75]) ).
tcf(c_2394,plain,
! [X0: $i,X1: $i] : ifeq(true,true,product(X0,X1,multiply(X1,X0)),true) = true,
inference(superposition,[status(thm)],[c_77,c_79]) ).
tcf(c_2406,plain,
! [X0: $i,X1: $i] : product(X0,X1,multiply(X1,X0)) = true,
inference(superposition,[status(thm)],[c_2394,c_75]) ).
tcf(c_2417,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq2(sum(X0,X1,X2),true,ifeq2(true,true,add(X0,X1),X2),X2) = X2,
inference(superposition,[status(thm)],[c_76,c_96]) ).
tcf(c_2428,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq2(sum(X0,X1,X2),true,add(X0,X1),X2) = X2,
inference(demodulation,[status(thm)],[c_2417,c_74]) ).
tcf(c_2592,plain,
! [X0: $i,X1: $i] : ifeq2(true,true,ifeq2(product(multiplicative_identity,X0,X1),true,X1,X0),X0) = X0,
inference(superposition,[status(thm)],[c_82,c_97]) ).
tcf(c_2599,plain,
! [X0: $i,X1: $i] : ifeq2(product(X0,multiplicative_identity,X1),true,ifeq2(true,true,X0,X1),X1) = X1,
inference(superposition,[status(thm)],[c_83,c_97]) ).
tcf(c_2601,plain,
! [X0: $i,X1: $i] : ifeq2(product(X0,inverse(X0),X1),true,ifeq2(true,true,additive_identity,X1),X1) = X1,
inference(superposition,[status(thm)],[c_95,c_97]) ).
tcf(c_2603,plain,
! [X0: $i,X1: $i] : ifeq2(product(X0,multiplicative_identity,X1),true,X0,X1) = X1,
inference(demodulation,[status(thm)],[c_2599,c_74]) ).
tcf(c_2605,plain,
! [X0: $i,X1: $i] : ifeq2(product(X0,inverse(X0),X1),true,additive_identity,X1) = X1,
inference(demodulation,[status(thm)],[c_2601,c_74]) ).
tcf(c_2609,plain,
! [X0: $i] : ifeq2(true,true,X0,multiply(X0,multiplicative_identity)) = multiply(X0,multiplicative_identity),
inference(superposition,[status(thm)],[c_77,c_2603]) ).
tcf(c_2615,plain,
! [X0: $i] : multiply(X0,multiplicative_identity) = X0,
inference(demodulation,[status(thm)],[c_2609,c_74]) ).
tcf(c_2726,plain,
! [X0: $i,X1: $i] : ifeq2(product(multiplicative_identity,X0,X1),true,X1,X0) = X0,
inference(superposition,[status(thm)],[c_2592,c_74]) ).
tcf(c_2899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ifeq(product(X0,X1,X2),true,ifeq(product(X0,X3,X4),true,ifeq(true,true,ifeq(sum(multiplicative_identity,X3,X1),true,sum(X0,X4,X2),true),true),true),true) = true,
inference(superposition,[status(thm)],[c_83,c_84]) ).
tcf(c_2918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ifeq(product(X0,X1,X2),true,ifeq(product(X0,X3,X4),true,ifeq(sum(multiplicative_identity,X3,X1),true,sum(X0,X4,X2),true),true),true) = true,
inference(demodulation,[status(thm)],[c_2899,c_75]) ).
tcf(c_3011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ifeq(product(X0,additive_identity,X1),true,ifeq(product(X0,X2,X3),true,ifeq(sum(X3,X1,X4),true,ifeq(true,true,product(X0,X2,X4),true),true),true),true) = true,
inference(superposition,[status(thm)],[c_81,c_85]) ).
tcf(c_3021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ifeq(product(X0,additive_identity,X1),true,ifeq(product(X0,X2,X3),true,ifeq(sum(X3,X1,X4),true,product(X0,X2,X4),true),true),true) = true,
inference(demodulation,[status(thm)],[c_3011,c_75]) ).
tcf(c_3156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ifeq(product(additive_identity,X0,X1),true,ifeq(sum(X2,X1,X3),true,ifeq(sum(X2,X0,X4),true,ifeq(true,true,product(X2,X4,X3),true),true),true),true) = true,
inference(superposition,[status(thm)],[c_81,c_88]) ).
tcf(c_3166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : ifeq(product(additive_identity,X0,X1),true,ifeq(sum(X2,X1,X3),true,ifeq(sum(X2,X0,X4),true,product(X2,X4,X3),true),true),true) = true,
inference(demodulation,[status(thm)],[c_3156,c_75]) ).
tcf(c_4136,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(product(X0,X1,X2),true,ifeq(true,true,ifeq(sum(multiplicative_identity,multiplicative_identity,X1),true,sum(X0,X0,X2),true),true),true) = true,
inference(superposition,[status(thm)],[c_83,c_2918]) ).
tcf(c_4154,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(product(X0,X1,X2),true,ifeq(sum(multiplicative_identity,multiplicative_identity,X1),true,sum(X0,X0,X2),true),true) = true,
inference(demodulation,[status(thm)],[c_4136,c_75]) ).
tcf(c_6827,plain,
! [X0: $i,X1: $i] : ifeq(product(X0,add(multiplicative_identity,multiplicative_identity),X1),true,ifeq(true,true,sum(X0,X0,X1),true),true) = true,
inference(superposition,[status(thm)],[c_76,c_4154]) ).
tcf(c_6837,plain,
! [X0: $i,X1: $i] : ifeq(product(X0,add(multiplicative_identity,multiplicative_identity),X1),true,sum(X0,X0,X1),true) = true,
inference(demodulation,[status(thm)],[c_6827,c_75]) ).
tcf(c_7938,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(product(X0,additive_identity,X1),true,ifeq(product(X0,X2,additive_identity),true,ifeq(true,true,product(X0,X2,X1),true),true),true) = true,
inference(superposition,[status(thm)],[c_80,c_3021]) ).
tcf(c_7955,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(product(X0,additive_identity,X1),true,ifeq(product(X0,X2,additive_identity),true,product(X0,X2,X1),true),true) = true,
inference(demodulation,[status(thm)],[c_7938,c_75]) ).
tcf(c_9540,plain,
! [X0: $i] : ifeq(true,true,sum(X0,X0,multiply(X0,add(multiplicative_identity,multiplicative_identity))),true) = true,
inference(superposition,[status(thm)],[c_77,c_6837]) ).
tcf(c_9587,plain,
! [X0: $i] : sum(X0,X0,multiply(X0,add(multiplicative_identity,multiplicative_identity))) = true,
inference(superposition,[status(thm)],[c_9540,c_75]) ).
tcf(c_9625,plain,
! [X0: $i] : ifeq2(true,true,add(X0,X0),multiply(X0,add(multiplicative_identity,multiplicative_identity))) = multiply(X0,add(multiplicative_identity,multiplicative_identity)),
inference(superposition,[status(thm)],[c_9587,c_2428]) ).
tcf(c_9686,plain,
! [X0: $i] : multiply(X0,add(multiplicative_identity,multiplicative_identity)) = add(X0,X0),
inference(demodulation,[status(thm)],[c_9625,c_74]) ).
tcf(c_16219,plain,
! [X0: $i,X1: $i] : ifeq(product(X0,additive_identity,X1),true,ifeq(true,true,product(X0,inverse(X0),X1),true),true) = true,
inference(superposition,[status(thm)],[c_95,c_7955]) ).
tcf(c_16235,plain,
! [X0: $i,X1: $i] : ifeq(product(X0,additive_identity,X1),true,product(X0,inverse(X0),X1),true) = true,
inference(demodulation,[status(thm)],[c_16219,c_75]) ).
tcf(c_17338,plain,
! [X0: $i] : ifeq(true,true,product(X0,inverse(X0),multiply(X0,additive_identity)),true) = true,
inference(superposition,[status(thm)],[c_77,c_16235]) ).
tcf(c_17363,plain,
! [X0: $i] : product(X0,inverse(X0),multiply(X0,additive_identity)) = true,
inference(superposition,[status(thm)],[c_17338,c_75]) ).
tcf(c_17439,plain,
! [X0: $i] : ifeq2(true,true,additive_identity,multiply(X0,additive_identity)) = multiply(X0,additive_identity),
inference(superposition,[status(thm)],[c_17363,c_2605]) ).
tcf(c_17461,plain,
! [X0: $i] : multiply(X0,additive_identity) = additive_identity,
inference(demodulation,[status(thm)],[c_17439,c_74]) ).
tcf(c_20499,plain,
! [X0: $i] : product(additive_identity,X0,additive_identity) = true,
inference(superposition,[status(thm)],[c_17461,c_2406]) ).
tcf(c_30695,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(product(additive_identity,X0,additive_identity),true,ifeq(true,true,ifeq(sum(X1,X0,X2),true,product(X1,X2,X1),true),true),true) = true,
inference(superposition,[status(thm)],[c_81,c_3166]) ).
tcf(c_30746,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(sum(X0,X1,X2),true,product(X0,X2,X0),true) = true,
inference(demodulation,[status(thm)],[c_30695,c_75,c_20499]) ).
tcf(c_31309,plain,
! [X0: $i,X1: $i] : ifeq(true,true,product(X0,add(X0,X1),X0),true) = true,
inference(superposition,[status(thm)],[c_76,c_30746]) ).
tcf(c_32066,plain,
! [X0: $i,X1: $i] : product(X0,add(X0,X1),X0) = true,
inference(superposition,[status(thm)],[c_31309,c_75]) ).
tcf(c_32167,plain,
! [X0: $i] : ifeq2(true,true,multiplicative_identity,add(multiplicative_identity,X0)) = add(multiplicative_identity,X0),
inference(superposition,[status(thm)],[c_32066,c_2726]) ).
tcf(c_32276,plain,
! [X0: $i] : add(multiplicative_identity,X0) = multiplicative_identity,
inference(demodulation,[status(thm)],[c_32167,c_74]) ).
tcf(c_32351,plain,
! [X0: $i] : add(X0,X0) = multiply(X0,multiplicative_identity),
inference(demodulation,[status(thm)],[c_9686,c_32276]) ).
tcf(c_32362,plain,
! [X0: $i] : add(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_32351,c_2615]) ).
tcf(c_32874,plain,
! [X0: $i] : sum(X0,X0,X0) = true,
inference(superposition,[status(thm)],[c_32362,c_2389]) ).
tcf(c_32880,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_98,c_32874]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO004-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n007.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 06:24:54 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running UEQ theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 4.35/3.74 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 4.35/3.74 % SZS status Started for theBenchmark.p
% 4.35/3.74 % SZS status Unsatisfiable for theBenchmark.p
% 4.35/3.74
% 4.35/3.74 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.35/3.74
% 4.35/3.74 % ------ iProver source info
% 4.35/3.74
% 4.35/3.74 % git: date: 2026-07-19 20:42:38 +0200
% 4.35/3.74 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.35/3.74 % git: non_committed_changes: false
% 4.35/3.74
% 4.35/3.74 % ------ Parsing...% successful
% 4.35/3.74
% 4.35/3.74
% 4.35/3.74 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.35/3.74
% 4.35/3.74 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.35/3.74
% 4.35/3.74 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.35/3.74
% 4.35/3.74 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.35/3.74 % ------ Proving...
% 4.35/3.74 % ------ Problem Properties
% 4.35/3.74
% 4.35/3.74 %
% 4.35/3.74 % clauses 25
% 4.35/3.74 % conjectures 1
% 4.35/3.74 % EPR 0
% 4.35/3.74 % Horn 25
% 4.35/3.74 % unary 25
% 4.35/3.74 % binary 0
% 4.35/3.74 % lits 25
% 4.35/3.74 % lits eq 25
% 4.35/3.74 % fd_pure 0
% 4.35/3.74 % fd_pseudo 0
% 4.35/3.74 % fd_cond 0
% 4.35/3.74 % fd_pseudo_cond 0
% 4.35/3.74 % AC symbols 0
% 4.35/3.74
% 4.35/3.74 % ------ Input Options Time Limit: Unbounded
% 4.35/3.74
% 4.35/3.74
% 4.35/3.74 % ------
% 4.35/3.74 % Current options:
% 4.35/3.74 % ------
% 4.35/3.74
% 4.35/3.74
% 4.35/3.74 %
% 4.35/3.74
% 4.35/3.74 % ------ Proving...
% 4.35/3.74 %
% 4.35/3.74
% 4.35/3.74 % SZS status Unsatisfiable for theBenchmark.p
% 4.35/3.74
% 4.35/3.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.35/3.75
% 4.35/3.75
%------------------------------------------------------------------------------