%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ANA028-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n013.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 12:55:40 PM UTC 2026
% Result : Unsatisfiable 14.11s 2.82s
% Output : CNFRefutation 14.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 18
% Syntax : Number of formulae : 96 ( 49 unt; 5 def)
% Number of atoms : 221 ( 63 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 111 ( 57 ~; 54 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 6 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 164 ( 0 sgn 164 !; 0 ?; 130 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( c_plus(c_0,X1,X0) = X1
| ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( c_plus(X1,c_minus(X2,X3,X0),X0) = c_minus(c_plus(X1,X2,X0),X3,X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__2_0) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( c_plus(c_minus(X1,X2,X0),X3,X0) = c_minus(c_plus(X1,X3,X0),X2,X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__3_0) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( c_minus(X1,c_minus(X2,X3,X0),X0) = c_minus(c_plus(X1,X3,X0),X2,X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__5_0) ).
fof(f5,plain,
! [X2,X3,X0,X1] :
( c_minus(c_plus(X1,X3,X0),X2,X0) = c_minus(X1,c_minus(X2,X3,X0),X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_minus(X1,X3,X0),X2,X0)
| ~ c_lessequals(X1,c_plus(X2,X3,X0),X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__8_1) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(X1,c_minus(X3,X2,X0),X0)
| ~ c_lessequals(c_plus(X1,X2,X0),X3,X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
fof(f8,axiom,
! [X0,X1] :
( c_minus(X1,X1,X0) = c_0
| ~ class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__self_0) ).
fof(f9,plain,
! [X0,X1] :
( c_0 = c_minus(X1,X1,X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
! [X0] : c_lessequals(v_g(X0),v_k(X0),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f11,negated_conjecture,
~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f12,axiom,
! [X0] :
( class_OrderedGroup_Ocomm__monoid__add(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).
fof(f13,axiom,
! [X0] :
( class_OrderedGroup_Oab__group__add(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).
fof(f14,axiom,
! [X0] :
( class_OrderedGroup_Opordered__ab__group__add(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(f15,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( ( c_plus(c_0,X1,X0) = X1 )
| ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_plus(X1,c_minus(X2,X3,X0),X0) = c_minus(c_plus(X1,X2,X0),X3,X0) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_plus(c_minus(X1,X2,X0),X3,X0) = c_minus(c_plus(X1,X3,X0),X2,X0) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_minus(c_plus(X1,X2,X0),X3,X0) = c_minus(X1,c_minus(X3,X2,X0),X0) )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_minus(X0,X2,X3),X1,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_lessequals(X0,c_plus(X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X0,c_minus(X3,X1,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| ~ c_lessequals(c_plus(X0,X1,X2),X3,X2) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( ( c_minus(X1,X1,X0) = c_0 )
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_69,negated_conjecture,
! [X0: $i] : c_lessequals(v_g(X0),v_k(X0),t_b),
inference(cnf_transformation,[],[f10]) ).
tcf(c_70,negated_conjecture,
~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
inference(cnf_transformation,[],[f11]) ).
tcf(c_71,plain,
! [X0: $i] :
( class_OrderedGroup_Ocomm__monoid__add(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_72,plain,
! [X0: $i] :
( class_OrderedGroup_Oab__group__add(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_73,plain,
! [X0: $i] :
( class_OrderedGroup_Opordered__ab__group__add(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_74,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
inference(cnf_transformation,[],[f15]) ).
tcf(c_188,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_plus(c_0,X2,X1) = X2 )
| ~ class_Ring__and__Field_Oordered__idom(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_71,c_62]) ).
tcf(c_189,plain,
! [X0: $i,X1: $i] :
( ( c_plus(c_0,X1,X0) = X1 )
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(unflattening,[status(thm)],[c_188]) ).
tcf(c_199,plain,
! [X0: $i,X1: $i] :
( ( c_plus(c_0,X1,X0) = X1 )
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_189,c_74]) ).
tcf(c_200,plain,
! [X0: $i] : c_plus(c_0,X0,t_b) = X0,
inference(unflattening,[status(thm)],[c_199]) ).
tcf(c_205,plain,
! [X0: $i] :
( class_OrderedGroup_Opordered__ab__group__add(X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_73,c_74]) ).
tcf(c_206,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(unflattening,[status(thm)],[c_205]) ).
tcf(c_210,plain,
! [X0: $i] :
( class_OrderedGroup_Oab__group__add(X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_72,c_74]) ).
tcf(c_211,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(unflattening,[status(thm)],[c_210]) ).
tcf(c_218,plain,
! [X0: $i,X1: $i] :
( ( c_minus(X1,X1,X0) = c_0 )
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_68,c_211]) ).
tcf(c_219,plain,
! [X0: $i] : c_minus(X0,X0,t_b) = c_0,
inference(unflattening,[status(thm)],[c_218]) ).
tcf(c_224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_minus(c_plus(X1,X2,X0),X3,X0) = c_minus(X1,c_minus(X3,X2,X0),X0) )
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_65,c_211]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i,X2: $i] : c_minus(c_plus(X0,X1,t_b),X2,t_b) = c_minus(X0,c_minus(X2,X1,t_b),t_b),
inference(unflattening,[status(thm)],[c_224]) ).
tcf(c_230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_plus(c_minus(X1,X2,X0),X3,X0) = c_minus(c_plus(X1,X3,X0),X2,X0) )
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_64,c_211]) ).
tcf(c_231,plain,
! [X0: $i,X1: $i,X2: $i] : c_plus(c_minus(X0,X1,t_b),X2,t_b) = c_minus(c_plus(X0,X2,t_b),X1,t_b),
inference(unflattening,[status(thm)],[c_230]) ).
tcf(c_236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_plus(X1,c_minus(X2,X3,X0),X0) = c_minus(c_plus(X1,X2,X0),X3,X0) )
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_63,c_211]) ).
tcf(c_237,plain,
! [X0: $i,X1: $i,X2: $i] : c_plus(X0,c_minus(X1,X2,t_b),t_b) = c_minus(c_plus(X0,X1,t_b),X2,t_b),
inference(unflattening,[status(thm)],[c_236]) ).
tcf(c_246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_minus(X1,X3,X0),X2,X0)
| ~ c_lessequals(X1,c_plus(X2,X3,X0),X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_66,c_206]) ).
tcf(c_247,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_minus(X0,X2,t_b),X1,t_b)
| ~ c_lessequals(X0,c_plus(X1,X2,t_b),t_b) ),
inference(unflattening,[status(thm)],[c_246]) ).
tcf(c_255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(X1,c_minus(X3,X2,X0),X0)
| ~ c_lessequals(c_plus(X1,X2,X0),X3,X0)
| ( X0 != t_b ) ),
inference(resolution_lifted,[status(thm)],[c_67,c_206]) ).
tcf(c_256,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,c_minus(X2,X1,t_b),t_b)
| ~ c_lessequals(c_plus(X0,X1,t_b),X2,t_b) ),
inference(unflattening,[status(thm)],[c_255]) ).
tcf(c_296,plain,
! [X0: $i,X1: $i,X2: $i] : c_plus(X0,c_minus(X1,X2,t_b),t_b) = c_minus(X0,c_minus(X2,X1,t_b),t_b),
inference(demodulation,[status(thm)],[c_237,c_225]) ).
tcf(c_297,plain,
! [X0: $i,X1: $i,X2: $i] : c_plus(c_minus(X0,X1,t_b),X2,t_b) = c_minus(X0,c_minus(X1,X2,t_b),t_b),
inference(demodulation,[status(thm)],[c_231,c_225]) ).
tcf(c_309,definition,
iPr_def_10 = v_f(v_x),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_310,definition,
iPr_def_11 = v_k(v_x),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_311,definition,
iPr_def_12 = c_minus(iPr_def_10,iPr_def_11,t_b),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_312,definition,
iPr_def_13 = v_g(v_x),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_313,definition,
iPr_def_14 = c_minus(iPr_def_10,iPr_def_13,t_b),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_314,plain,
! [X0: $i,X1: $i,X2: $i] : c_plus(c_minus(X0,X1,t_b),X2,t_b) = c_minus(X0,c_minus(X1,X2,t_b),t_b),
inference(demodulation,[status(thm)],[c_297]) ).
tcf(c_315,plain,
! [X0: $i,X1: $i,X2: $i] : c_plus(X0,c_minus(X1,X2,t_b),t_b) = c_minus(X0,c_minus(X2,X1,t_b),t_b),
inference(demodulation,[status(thm)],[c_296]) ).
tcf(c_316,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(X0,c_minus(X2,X1,t_b),t_b)
| ~ c_lessequals(c_plus(X0,X1,t_b),X2,t_b) ),
inference(demodulation,[status(thm)],[c_256]) ).
tcf(c_317,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_minus(X0,X2,t_b),X1,t_b)
| ~ c_lessequals(X0,c_plus(X1,X2,t_b),t_b) ),
inference(demodulation,[status(thm)],[c_247]) ).
tcf(c_318,plain,
! [X0: $i,X1: $i,X2: $i] : c_minus(c_plus(X0,X1,t_b),X2,t_b) = c_minus(X0,c_minus(X2,X1,t_b),t_b),
inference(demodulation,[status(thm)],[c_225]) ).
tcf(c_319,plain,
! [X0: $i] : c_minus(X0,X0,t_b) = c_0,
inference(demodulation,[status(thm)],[c_219]) ).
tcf(c_320,plain,
! [X0: $i] : c_plus(c_0,X0,t_b) = X0,
inference(demodulation,[status(thm)],[c_200]) ).
tcf(c_321,negated_conjecture,
~ c_lessequals(iPr_def_12,iPr_def_14,t_b),
inference(demodulation,[status(thm)],[c_70,c_312,c_313,c_310,c_309,c_311]) ).
tcf(c_322,negated_conjecture,
! [X0: $i] : c_lessequals(v_g(X0),v_k(X0),t_b),
inference(demodulation,[status(thm)],[c_69]) ).
tcf(c_499,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_0,c_minus(X1,X0,t_b),t_b)
| ~ c_lessequals(X0,X1,t_b) ),
inference(superposition,[status(thm)],[c_320,c_316]) ).
tcf(c_515,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_minus(X0,X1,t_b),c_0,t_b)
| ~ c_lessequals(X0,X1,t_b) ),
inference(superposition,[status(thm)],[c_320,c_317]) ).
tcf(c_528,plain,
c_lessequals(v_g(v_x),iPr_def_11,t_b),
inference(superposition,[status(thm)],[c_310,c_322]) ).
tcf(c_529,plain,
c_lessequals(iPr_def_13,iPr_def_11,t_b),
inference(light_normalisation,[status(thm)],[c_528,c_312]) ).
tcf(c_553,plain,
! [X0: $i,X1: $i] : c_minus(c_0,c_minus(X0,X1,t_b),t_b) = c_minus(X1,X0,t_b),
inference(superposition,[status(thm)],[c_320,c_318]) ).
tcf(c_572,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_0,c_minus(X1,X0,t_b),t_b)
| ~ c_lessequals(c_minus(X0,X1,t_b),c_0,t_b) ),
inference(superposition,[status(thm)],[c_553,c_499]) ).
tcf(c_682,plain,
! [X0: $i,X1: $i] : c_minus(X0,c_minus(X0,X1,t_b),t_b) = c_plus(c_0,X1,t_b),
inference(superposition,[status(thm)],[c_319,c_314]) ).
tcf(c_684,plain,
! [X0: $i] : c_minus(iPr_def_10,c_minus(iPr_def_11,X0,t_b),t_b) = c_plus(iPr_def_12,X0,t_b),
inference(superposition,[status(thm)],[c_311,c_314]) ).
tcf(c_738,plain,
c_plus(iPr_def_12,iPr_def_11,t_b) = c_minus(iPr_def_10,c_0,t_b),
inference(superposition,[status(thm)],[c_319,c_684]) ).
tcf(c_851,plain,
! [X0: $i,X1: $i] : c_minus(X0,c_minus(X0,X1,t_b),t_b) = X1,
inference(demodulation,[status(thm)],[c_682,c_320]) ).
tcf(c_857,plain,
c_minus(iPr_def_10,iPr_def_14,t_b) = iPr_def_13,
inference(superposition,[status(thm)],[c_313,c_851]) ).
tcf(c_871,plain,
! [X0: $i] : c_minus(X0,c_0,t_b) = X0,
inference(superposition,[status(thm)],[c_851,c_553]) ).
tcf(c_883,plain,
c_plus(iPr_def_12,iPr_def_11,t_b) = iPr_def_10,
inference(demodulation,[status(thm)],[c_738,c_871]) ).
tcf(c_972,plain,
c_minus(iPr_def_10,iPr_def_13,t_b) = iPr_def_14,
inference(superposition,[status(thm)],[c_857,c_851]) ).
tcf(c_1225,plain,
! [X0: $i] : c_minus(X0,c_minus(iPr_def_11,iPr_def_10,t_b),t_b) = c_plus(X0,iPr_def_12,t_b),
inference(superposition,[status(thm)],[c_311,c_315]) ).
tcf(c_1237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_minus(X0,c_minus(X3,X2,t_b),t_b),X1,t_b)
| ~ c_lessequals(X0,c_minus(X1,c_minus(X2,X3,t_b),t_b),t_b) ),
inference(superposition,[status(thm)],[c_315,c_317]) ).
tcf(c_1280,plain,
! [X0: $i] : c_minus(iPr_def_12,c_minus(X0,iPr_def_11,t_b),t_b) = c_minus(iPr_def_10,X0,t_b),
inference(superposition,[status(thm)],[c_883,c_318]) ).
tcf(c_1558,plain,
c_plus(iPr_def_11,iPr_def_12,t_b) = iPr_def_10,
inference(superposition,[status(thm)],[c_1225,c_851]) ).
tcf(c_1746,plain,
! [X0: $i] : c_minus(iPr_def_11,c_minus(X0,iPr_def_12,t_b),t_b) = c_minus(iPr_def_10,X0,t_b),
inference(superposition,[status(thm)],[c_1558,c_318]) ).
tcf(c_2752,plain,
! [X0: $i] : c_minus(iPr_def_12,c_minus(iPr_def_10,X0,t_b),t_b) = c_minus(X0,iPr_def_11,t_b),
inference(superposition,[status(thm)],[c_1280,c_851]) ).
tcf(c_3281,plain,
! [X0: $i] : c_minus(iPr_def_11,c_minus(iPr_def_10,X0,t_b),t_b) = c_minus(X0,iPr_def_12,t_b),
inference(superposition,[status(thm)],[c_1746,c_851]) ).
tcf(c_3632,plain,
c_minus(iPr_def_12,iPr_def_14,t_b) = c_minus(iPr_def_13,iPr_def_11,t_b),
inference(superposition,[status(thm)],[c_972,c_2752]) ).
tcf(c_3713,plain,
c_minus(iPr_def_11,iPr_def_13,t_b) = c_minus(iPr_def_14,iPr_def_12,t_b),
inference(superposition,[status(thm)],[c_857,c_3281]) ).
tcf(c_4056,plain,
( c_lessequals(c_0,c_minus(iPr_def_11,iPr_def_13,t_b),t_b)
| ~ c_lessequals(c_minus(iPr_def_12,iPr_def_14,t_b),c_0,t_b) ),
inference(superposition,[status(thm)],[c_3632,c_572]) ).
tcf(c_4063,plain,
( c_lessequals(c_minus(iPr_def_12,iPr_def_14,t_b),c_0,t_b)
| ~ c_lessequals(iPr_def_13,iPr_def_11,t_b) ),
inference(superposition,[status(thm)],[c_3632,c_515]) ).
tcf(c_4076,plain,
c_lessequals(c_minus(iPr_def_12,iPr_def_14,t_b),c_0,t_b),
inference(forward_subsumption_resolution,[status(thm)],[c_4063,c_529]) ).
tcf(c_4085,plain,
c_lessequals(c_0,c_minus(iPr_def_11,iPr_def_13,t_b),t_b),
inference(forward_subsumption_resolution,[status(thm)],[c_4056,c_4076]) ).
tcf(c_21613,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_lessequals(c_minus(X0,c_minus(X1,X2,t_b),t_b),X2,t_b)
| ~ c_lessequals(X0,X1,t_b) ),
inference(superposition,[status(thm)],[c_851,c_1237]) ).
tcf(c_22236,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_minus(X1,X0,t_b),X1,t_b)
| ~ c_lessequals(c_0,X0,t_b) ),
inference(superposition,[status(thm)],[c_553,c_21613]) ).
tcf(c_22789,plain,
! [X0: $i,X1: $i] :
( c_lessequals(X1,X0,t_b)
| ~ c_lessequals(c_0,c_minus(X0,X1,t_b),t_b) ),
inference(superposition,[status(thm)],[c_851,c_22236]) ).
tcf(c_23122,plain,
( c_lessequals(iPr_def_12,iPr_def_14,t_b)
| ~ c_lessequals(c_0,c_minus(iPr_def_11,iPr_def_13,t_b),t_b) ),
inference(superposition,[status(thm)],[c_3713,c_22789]) ).
tcf(c_23148,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_23122,c_321,c_4085]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA028-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 05:47:36 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.43 % Proving...
% 14.11/2.82 % SZS status Started for theBenchmark.p
% 14.11/2.82 % SZS status Unsatisfiable for theBenchmark.p
% 14.11/2.82
% 14.11/2.82 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 14.11/2.82
% 14.11/2.82 % ------ iProver source info
% 14.11/2.82
% 14.11/2.82 % git: date: 2026-07-19 20:42:38 +0200
% 14.11/2.82 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 14.11/2.82 % git: non_committed_changes: false
% 14.11/2.82
% 14.11/2.82 % ------ Parsing...% successful
% 14.11/2.82
% 14.11/2.82
% 14.11/2.82 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 14.11/2.82
% 14.11/2.82 % ------ 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: 2 sf_s rm: 2 0s sf_e pe_s pe_e %
% 14.11/2.82
% 14.11/2.82 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 14.11/2.82
% 14.11/2.82 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 14.11/2.82 % ------ Proving...
% 14.11/2.82 % ------ Problem Properties
% 14.11/2.82
% 14.11/2.82 %
% 14.11/2.82 % clauses 14
% 14.11/2.82 % conjectures 2
% 14.11/2.82 % EPR 1
% 14.11/2.82 % Horn 14
% 14.11/2.82 % unary 12
% 14.11/2.82 % binary 2
% 14.11/2.82 % lits 16
% 14.11/2.82 % lits eq 10
% 14.11/2.82 % fd_pure 0
% 14.11/2.82 % fd_pseudo 0
% 14.11/2.82 % fd_cond 0
% 14.11/2.82 % fd_pseudo_cond 0
% 14.11/2.82 % AC symbols 0
% 14.11/2.82
% 14.11/2.82 % ------ Schedule dynamic 5 is on
% 14.11/2.82
% 14.11/2.82 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 14.11/2.82
% 14.11/2.82
% 14.11/2.82 % ------
% 14.11/2.82 % Current options:
% 14.11/2.82 % ------
% 14.11/2.82
% 14.11/2.82
% 14.11/2.82 %
% 14.11/2.82
% 14.11/2.82 % ------ Proving...
% 14.11/2.82 %
% 14.11/2.82
% 14.11/2.82 % SZS status Unsatisfiable for theBenchmark.p
% 14.11/2.82
% 14.11/2.82 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.11/2.82
% 14.11/2.82
%------------------------------------------------------------------------------