%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ANA034-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n014.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 12:55:41 PM UTC 2026
% Result : Unsatisfiable 2.19s 1.27s
% Output : CNFRefutation 2.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 62 ( 23 unt; 0 def)
% Number of atoms : 142 ( 18 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 167 ( 87 ~; 80 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 2 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 85 ( 0 sgn 85 !; 0 ?; 65 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( c_HOL_Oabs(c_times(X1,X2,X0),X0) = c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_times(X3,X1,X0),c_times(X4,X2,X0),X0)
| ~ c_lessequals(c_0,X4,X0)
| ~ c_lessequals(c_0,X1,X0)
| ~ c_lessequals(X3,X4,X0)
| ~ c_lessequals(X1,X2,X0)
| ~ class_Ring__and__Field_Opordered__semiring(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__mono_0) ).
fof(f3,axiom,
! [X2,X0,X1] :
( c_lessequals(c_0,c_times(X2,X1,X0),X0)
| ~ c_lessequals(c_0,X2,X0)
| ~ c_lessequals(c_0,X1,X0)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__nonneg__nonneg_0) ).
fof(f4,axiom,
! [X2,X0,X1] :
( c_lessequals(X1,X2,X0)
| ~ c_less(X1,X2,X0)
| ~ class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
fof(f5,axiom,
! [X0,X1] :
( c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f6,negated_conjecture,
c_less(c_0,v_c,t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f7,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f8,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f9,negated_conjecture,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) = c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f10,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f11,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f12,axiom,
! [X0] :
( class_Orderings_Oorder(X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).
fof(f13,axiom,
! [X0] :
( class_Ring__and__Field_Opordered__cancel__semiring(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).
fof(f14,axiom,
! [X0] :
( class_Ring__and__Field_Opordered__semiring(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f15,axiom,
! [X0] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_times(X1,X2,X0),X0) )
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_lessequals(c_times(X3,X0,X2),c_times(X4,X1,X2),X2)
| ~ class_Ring__and__Field_Opordered__semiring(X2)
| ~ c_lessequals(c_0,X4,X2)
| ~ c_lessequals(c_0,X0,X2)
| ~ c_lessequals(X3,X4,X2)
| ~ c_lessequals(X0,X1,X2) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_0,c_times(X2,X0,X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(c_0,X2,X1)
| ~ c_lessequals(c_0,X0,X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| ~ c_less(X0,X1,X2) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_69,negated_conjecture,
c_less(c_0,v_c,t_b),
inference(cnf_transformation,[],[f6]) ).
tcf(c_70,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),
inference(cnf_transformation,[],[f7]) ).
tcf(c_71,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
inference(cnf_transformation,[],[f8]) ).
tcf(c_72,negated_conjecture,
c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) = c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
inference(cnf_transformation,[],[f9]) ).
tcf(c_73,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),
inference(cnf_transformation,[],[f10]) ).
tcf(c_74,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf_transformation,[],[f11]) ).
tcf(c_75,plain,
! [X0: $i] :
( class_Orderings_Oorder(X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_76,plain,
! [X0: $i] :
( class_Ring__and__Field_Opordered__cancel__semiring(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_77,plain,
! [X0: $i] :
( class_Ring__and__Field_Opordered__semiring(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_78,plain,
! [X0: $i] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_79,plain,
( class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ class_Ring__and__Field_Oordered__idom(t_b) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_82,plain,
( class_Orderings_Oorder(t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| ( X2 != t_b )
| ( X1 != v_c )
| ( X0 != c_0 ) ),
inference(resolution_lifted,[status(thm)],[c_67,c_69]) ).
tcf(c_163,plain,
( c_lessequals(c_0,v_c,t_b)
| ~ class_Orderings_Oorder(t_b) ),
inference(unflattening,[status(thm)],[c_162]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_78,c_68]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(unflattening,[status(thm)],[c_170]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_171,c_74]) ).
tcf(c_182,plain,
! [X0: $i] : c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b),
inference(unflattening,[status(thm)],[c_181]) ).
tcf(c_187,plain,
! [X0: $i] :
( class_Ring__and__Field_Opordered__semiring(X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_77,c_74]) ).
tcf(c_188,plain,
class_Ring__and__Field_Opordered__semiring(t_b),
inference(unflattening,[status(thm)],[c_187]) ).
tcf(c_192,plain,
! [X0: $i] :
( class_Ring__and__Field_Opordered__cancel__semiring(X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_76,c_74]) ).
tcf(c_193,plain,
class_Ring__and__Field_Opordered__cancel__semiring(t_b),
inference(unflattening,[status(thm)],[c_192]) ).
tcf(c_197,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_times(X1,X2,X0),X0) )
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_64,c_74]) ).
tcf(c_198,plain,
! [X0: $i,X1: $i] : c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(X1,t_b),t_b) = c_HOL_Oabs(c_times(X0,X1,t_b),t_b),
inference(unflattening,[status(thm)],[c_197]) ).
tcf(c_207,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_0,c_times(X2,X1,X0),X0)
| ~ c_lessequals(c_0,X2,X0)
| ~ c_lessequals(c_0,X1,X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_66,c_193]) ).
tcf(c_208,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_0,c_times(X1,X0,t_b),t_b)
| ~ c_lessequals(c_0,X1,t_b)
| ~ c_lessequals(c_0,X0,t_b) ),
inference(unflattening,[status(thm)],[c_207]) ).
tcf(c_222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_lessequals(c_times(X3,X1,X0),c_times(X4,X2,X0),X0)
| ~ c_lessequals(c_0,X4,X0)
| ~ c_lessequals(c_0,X1,X0)
| ~ c_lessequals(X3,X4,X0)
| ~ c_lessequals(X1,X2,X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_65,c_188]) ).
tcf(c_223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_times(X2,X0,t_b),c_times(X3,X1,t_b),t_b)
| ~ c_lessequals(c_0,X3,t_b)
| ~ c_lessequals(c_0,X0,t_b)
| ~ c_lessequals(X2,X3,t_b)
| ~ c_lessequals(X0,X1,t_b) ),
inference(unflattening,[status(thm)],[c_222]) ).
tcf(c_285,plain,
! [X0_iProver_c_lessequals_2: iProver_c_lessequals_2,X1_iProver_c_lessequals_2: iProver_c_lessequals_2,X2_iProver_c_lessequals_2: iProver_c_lessequals_2,X3_iProver_c_lessequals_2: iProver_c_lessequals_2] :
( c_lessequals(c_times(X2_iProver_c_lessequals_2,X0_iProver_c_lessequals_2,t_b),c_times(X3_iProver_c_lessequals_2,X1_iProver_c_lessequals_2,t_b),t_b)
| ~ c_lessequals(c_0,X3_iProver_c_lessequals_2,t_b)
| ~ c_lessequals(c_0,X0_iProver_c_lessequals_2,t_b)
| ~ c_lessequals(X2_iProver_c_lessequals_2,X3_iProver_c_lessequals_2,t_b)
| ~ c_lessequals(X0_iProver_c_lessequals_2,X1_iProver_c_lessequals_2,t_b) ),
inference(subtyping,[status(esa)],[c_223]) ).
tcf(c_286,plain,
! [X0_iProver_c_lessequals_2: iProver_c_lessequals_2,X1_iProver_c_lessequals_2: iProver_c_lessequals_2] :
( c_lessequals(c_0,c_times(X1_iProver_c_lessequals_2,X0_iProver_c_lessequals_2,t_b),t_b)
| ~ c_lessequals(c_0,X1_iProver_c_lessequals_2,t_b)
| ~ c_lessequals(c_0,X0_iProver_c_lessequals_2,t_b) ),
inference(subtyping,[status(esa)],[c_208]) ).
tcf(c_287,plain,
! [X0_iProver_c_lessequals_2: iProver_c_lessequals_2,X1_iProver_c_lessequals_2: iProver_c_lessequals_2] : c_times(c_HOL_Oabs(X0_iProver_c_lessequals_2,t_b),c_HOL_Oabs(X1_iProver_c_lessequals_2,t_b),t_b) = c_HOL_Oabs(c_times(X0_iProver_c_lessequals_2,X1_iProver_c_lessequals_2,t_b),t_b),
inference(subtyping,[status(esa)],[c_198]) ).
tcf(c_288,plain,
! [X0_iProver_c_lessequals_2: iProver_c_lessequals_2] : c_lessequals(c_0,c_HOL_Oabs(X0_iProver_c_lessequals_2,t_b),t_b),
inference(subtyping,[status(esa)],[c_182]) ).
tcf(c_290,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),
inference(subtyping,[status(esa)],[c_73]) ).
tcf(c_291,negated_conjecture,
c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) = c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
inference(subtyping,[status(esa)],[c_72]) ).
tcf(c_476,plain,
! [X0_iProver_c_lessequals_2: iProver_c_lessequals_2,X1_iProver_c_lessequals_2: iProver_c_lessequals_2] :
( c_lessequals(c_times(X0_iProver_c_lessequals_2,X1_iProver_c_lessequals_2,t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)
| ~ c_lessequals(c_0,X1_iProver_c_lessequals_2,t_b)
| ~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)
| ~ c_lessequals(X1_iProver_c_lessequals_2,c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(X0_iProver_c_lessequals_2,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) ),
inference(superposition,[status(thm)],[c_291,c_285]) ).
tcf(c_529,plain,
! [X0_iProver_c_lessequals_2: iProver_c_lessequals_2,X1_iProver_c_lessequals_2: iProver_c_lessequals_2] :
( c_lessequals(c_HOL_Oabs(c_times(X0_iProver_c_lessequals_2,X1_iProver_c_lessequals_2,t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(X1_iProver_c_lessequals_2,t_b),t_b)
| ~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(X1_iProver_c_lessequals_2,t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(X0_iProver_c_lessequals_2,t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) ),
inference(superposition,[status(thm)],[c_287,c_476]) ).
tcf(c_3156,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_b(v_x),t_b),t_b)
| ~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) ),
inference(superposition,[status(thm)],[c_529,c_290]) ).
tcf(c_3194,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_b(v_x),t_b),t_b)
| ~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) ),
inference(global_subsumption_just,[status(thm)],[c_3156,c_71,c_70,c_3156]) ).
tcf(c_3196,plain,
( ~ c_lessequals(c_0,v_c,t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_b(v_x),t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_f(v_x),t_b),t_b) ),
inference(superposition,[status(thm)],[c_286,c_3194]) ).
tcf(c_3197,plain,
c_lessequals(c_0,c_HOL_Oabs(v_b(v_x),t_b),t_b),
inference(instantiation,[status(thm)],[c_288]) ).
tcf(c_3219,plain,
~ c_lessequals(c_0,c_HOL_Oabs(v_f(v_x),t_b),t_b),
inference(global_subsumption_just,[status(thm)],[c_3196,c_74,c_79,c_82,c_163,c_3196,c_3197]) ).
tcf(c_3221,plain,
$false,
inference(superposition,[status(thm)],[c_288,c_3219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA034-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 05:49:18 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.42
% 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...
% 2.19/1.27 % SZS status Started for theBenchmark.p
% 2.19/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.19/1.27
% 2.19/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.19/1.27
% 2.19/1.27 % ------ iProver source info
% 2.19/1.27
% 2.19/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 2.19/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.19/1.27 % git: non_committed_changes: false
% 2.19/1.27
% 2.19/1.27 % ------ Parsing...% successful
% 2.19/1.27
% 2.19/1.27
% 2.19/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.19/1.27
% 2.19/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 2.19/1.27
% 2.19/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.19/1.27
% 2.19/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.19/1.27 % ------ Proving...
% 2.19/1.27 % ------ Problem Properties
% 2.19/1.27
% 2.19/1.27 %
% 2.19/1.27 % clauses 9
% 2.19/1.27 % conjectures 4
% 2.19/1.27 % EPR 1
% 2.19/1.27 % Horn 9
% 2.19/1.27 % unary 7
% 2.19/1.27 % binary 0
% 2.19/1.27 % lits 15
% 2.19/1.27 % lits eq 2
% 2.19/1.27 % fd_pure 0
% 2.19/1.27 % fd_pseudo 0
% 2.19/1.27 % fd_cond 0
% 2.19/1.27 % fd_pseudo_cond 0
% 2.19/1.27 % AC symbols 0
% 2.19/1.27
% 2.19/1.27 % ------ Input Options Time Limit: Unbounded
% 2.19/1.27
% 2.19/1.27
% 2.19/1.27 % ------
% 2.19/1.27 % Current options:
% 2.19/1.27 % ------
% 2.19/1.27
% 2.19/1.27
% 2.19/1.27 %
% 2.19/1.27
% 2.19/1.27 % ------ Proving...
% 2.19/1.27 %
% 2.19/1.27
% 2.19/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.19/1.27
% 2.19/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.19/1.28
% 2.19/1.28
%------------------------------------------------------------------------------