%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA026-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 : Tue Sep 29 09:30:55 AM UTC 2026
% Result : Unsatisfiable 7.16s 1.89s
% Output : Refutation 9.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 32
% Syntax : Number of formulae : 144 ( 84 unt; 7 def)
% Number of atoms : 225 ( 88 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 165 ( 84 ~; 81 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-3 aty)
% Number of variables : 212 ( 212 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : c_lessequals(v_g(X0),v_k(X0),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f2,negated_conjecture,
~ c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f4,negated_conjecture,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_minus(X1,X2,X0) = c_plus(X1,c_uminus(X2,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oab__group__add__class_Odiff__minus_0) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f6,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_HOL_Oabs(c_uminus(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__minus__cancel_0) ).
fof(f7,plain,
! [X0,X1] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_HOL_Oabs(X1,X0) = c_HOL_Oabs(c_uminus(X1,X0),X0) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
! [X0,X1] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ c_lessequals(X1,c_0,X0)
| c_HOL_Oabs(X1,X0) = c_uminus(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonpos_0) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
| ~ c_lessequals(X1,X2,X0)
| c_lessequals(c_plus(X3,X1,X0),c_plus(X3,X2,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oadd__le__cancel__left_1) ).
fof(f11,negated_conjecture,
! [X0,X1] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_plus(c_0,X1,X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
fof(f12,axiom,
! [X2,X0,X1] :
( c_minus(c_plus(X1,X2,X0),X2,X0) = X1
| ~ class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__10_1) ).
fof(f13,axiom,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_plus(X1,c_minus(X2,X3,X0),X0) = c_minus(c_plus(X1,X2,X0),X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__2_0) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_minus(c_minus(X1,X2,X0),X3,X0) = c_minus(X1,c_plus(X2,X3,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__4_0) ).
fof(f18,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_minus(X1,X1,X0) = c_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__self_0) ).
fof(f19,plain,
! [X0,X1] :
( c_0 = c_minus(X1,X1,X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_uminus(c_minus(X1,X2,X0),X0) = c_minus(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__diff__eq_0) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ class_Orderings_Olinorder(X0)
| c_less(X1,X2,X0)
| c_lessequals(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ class_Orderings_Olinorder(X0)
| ~ c_lessequals(X1,X2,X0)
| ~ c_lessequals(X3,X2,X0)
| c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).
fof(f24,axiom,
! [X2,X3,X0,X1] :
( ~ class_Orderings_Oorder(X0)
| ~ c_lessequals(X1,X2,X0)
| ~ c_lessequals(X3,X1,X0)
| c_lessequals(X3,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f25,axiom,
! [X2,X0,X1] :
( ~ c_less(X1,X2,X0)
| ~ class_Orderings_Oorder(X0)
| c_lessequals(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
fof(f26,axiom,
! [X0] :
( ~ class_LOrder_Ojoin__semilorder(X0)
| class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
fof(f28,axiom,
! [X0] :
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_6) ).
fof(f29,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(f30,axiom,
! [X0] :
( class_Orderings_Olinorder(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f31,axiom,
! [X0] :
( class_LOrder_Ojoin__semilorder(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_35) ).
fof(f32,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(f33,axiom,
! [X0] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f34,definition,
sF0 = v_f(v_x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f35,plain,
v_f(v_x) = sF0,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF1 = v_k(v_x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f37,plain,
v_k(v_x) = sF1,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF2 = c_minus(sF0,sF1,t_b),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f39,plain,
c_minus(sF0,sF1,t_b) = sF2,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF3 = c_Orderings_Omax(sF2,c_0,t_b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f41,plain,
c_Orderings_Omax(sF2,c_0,t_b) = sF3,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF4 = v_g(v_x),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f43,plain,
v_g(v_x) = sF4,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF5 = c_minus(sF0,sF4,t_b),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f45,plain,
c_minus(sF0,sF4,t_b) = sF5,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF6 = c_HOL_Oabs(sF5,t_b),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f47,plain,
c_HOL_Oabs(sF5,t_b) = sF6,
inference(reorient_equations,[],[f46]) ).
fof(f48,plain,
~ c_lessequals(sF3,sF6,t_b),
inference(definition_folding,[],[f2,f47,f45,f43,f35,f41,f39,f37,f35]) ).
fof(f49,plain,
! [X0] :
( class_Orderings_Oorder(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(resolution,[],[f31,f26]) ).
fof(f51,plain,
c_lessequals(v_g(v_x),sF1,t_b),
inference(superposition,[],[f1,f37]) ).
fof(f52,plain,
c_lessequals(sF4,sF1,t_b),
inference(forward_demodulation,[],[f51,f43]) ).
fof(f54,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(c_0,c_HOL_Oabs(X0,X1),X1) ),
inference(resolution,[],[f5,f33]) ).
fof(f55,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_plus(c_0,X0,X1) = X0 ),
inference(resolution,[],[f11,f29]) ).
fof(f56,plain,
! [X0] : c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b),
inference(resolution,[],[f54,f3]) ).
fof(f57,plain,
c_lessequals(c_0,sF6,t_b),
inference(superposition,[],[f56,f47]) ).
fof(f58,plain,
! [X0] : c_plus(c_0,X0,t_b) = X0,
inference(resolution,[],[f55,f3]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_lessequals(X1,X0,X2)
| c_less(X0,X1,X2) ),
inference(resolution,[],[f21,f30]) ).
fof(f61,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ c_lessequals(X3,X0,X2)
| c_lessequals(X3,X1,X2)
| ~ c_lessequals(X0,X1,X2) ),
inference(resolution,[],[f24,f49]) ).
fof(f62,plain,
! [X2,X0,X1] :
( c_lessequals(X0,X2,t_b)
| ~ c_lessequals(X0,X1,t_b)
| ~ c_lessequals(X1,X2,t_b) ),
inference(resolution,[],[f61,f3]) ).
fof(f63,plain,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
| c_lessequals(c_plus(X3,X0,X2),c_plus(X3,X1,X2),X2)
| ~ c_lessequals(X0,X1,X2) ),
inference(resolution,[],[f9,f28]) ).
fof(f67,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ c_lessequals(X1,X3,X2)
| c_lessequals(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2) ),
inference(resolution,[],[f63,f33]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,t_b)
| c_lessequals(c_plus(X2,X0,t_b),c_plus(X2,X1,t_b),t_b) ),
inference(resolution,[],[f67,f3]) ).
fof(f75,plain,
! [X0,X1] :
( c_less(X1,X0,t_b)
| c_lessequals(X0,X1,t_b) ),
inference(resolution,[],[f60,f3]) ).
fof(f76,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X3)
| c_plus(X0,c_minus(X1,X2,X3),X3) = c_minus(c_plus(X0,X1,X3),X2,X3) ),
inference(resolution,[],[f13,f32]) ).
fof(f78,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_minus(c_minus(X0,X1,X2),X3,X2) = c_minus(X0,c_plus(X1,X3,X2),X2) ),
inference(resolution,[],[f15,f32]) ).
fof(f79,plain,
! [X2,X0,X1] : c_plus(X0,c_minus(X1,X2,t_b),t_b) = c_minus(c_plus(X0,X1,t_b),X2,t_b),
inference(resolution,[],[f76,f3]) ).
fof(f81,plain,
! [X2,X0,X1] : c_minus(c_minus(X0,X1,t_b),X2,t_b) = c_minus(X0,c_plus(X1,X2,t_b),t_b),
inference(resolution,[],[f78,f3]) ).
fof(f82,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_HOL_Oabs(X0,X1) = c_HOL_Oabs(c_uminus(X0,X1),X1) ),
inference(resolution,[],[f7,f33]) ).
fof(f83,plain,
! [X0] : c_HOL_Oabs(X0,t_b) = c_HOL_Oabs(c_uminus(X0,t_b),t_b),
inference(resolution,[],[f82,f3]) ).
fof(f88,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_minus(X0,X1,X2) = c_plus(X0,c_uminus(X1,X2),X2) ),
inference(resolution,[],[f4,f32]) ).
fof(f89,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_HOL_Oabs(X0,X1) = c_uminus(X0,X1)
| ~ c_lessequals(X0,c_0,X1) ),
inference(resolution,[],[f8,f33]) ).
fof(f90,plain,
! [X0,X1] :
( ~ class_Orderings_Oorder(t_b)
| c_lessequals(X0,X1,t_b)
| c_lessequals(X1,X0,t_b) ),
inference(resolution,[],[f75,f25]) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_uminus(c_minus(X0,X1,X2),X2) = c_minus(X1,X0,X2) ),
inference(resolution,[],[f20,f32]) ).
fof(f93,plain,
! [X0,X1] : c_minus(X0,X1,t_b) = c_plus(X0,c_uminus(X1,t_b),t_b),
inference(resolution,[],[f88,f3]) ).
fof(f95,plain,
! [X0,X1] :
( c_minus(c_minus(X0,X1,t_b),c_uminus(X1,t_b),t_b) = X0
| ~ class_OrderedGroup_Oab__group__add(t_b) ),
inference(superposition,[],[f12,f93]) ).
fof(f96,plain,
! [X0] : c_uminus(X0,t_b) = c_minus(c_0,X0,t_b),
inference(superposition,[],[f58,f93]) ).
fof(f97,plain,
! [X0,X1] :
( c_minus(X0,c_plus(X1,c_uminus(X1,t_b),t_b),t_b) = X0
| ~ class_OrderedGroup_Oab__group__add(t_b) ),
inference(forward_demodulation,[],[f95,f81]) ).
fof(f98,plain,
! [X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_minus(X0,c_minus(X1,X1,t_b),t_b) = X0 ),
inference(forward_demodulation,[],[f97,f93]) ).
fof(f100,plain,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_0 = c_uminus(c_0,t_b) ),
inference(superposition,[],[f19,f96]) ).
fof(f101,plain,
( c_0 = c_uminus(c_0,t_b)
| ~ class_Ring__and__Field_Oordered__idom(t_b) ),
inference(resolution,[],[f100,f32]) ).
fof(f102,plain,
c_0 = c_uminus(c_0,t_b),
inference(forward_subsumption_resolution,[],[f101,f3]) ).
fof(f103,plain,
! [X0] : c_minus(X0,c_0,t_b) = c_plus(X0,c_0,t_b),
inference(superposition,[],[f93,f102]) ).
fof(f105,plain,
! [X0] :
( c_minus(c_minus(X0,c_0,t_b),c_0,t_b) = X0
| ~ class_OrderedGroup_Oab__group__add(t_b) ),
inference(superposition,[],[f12,f103]) ).
fof(f108,plain,
! [X0] :
( c_minus(X0,c_plus(c_0,c_0,t_b),t_b) = X0
| ~ class_OrderedGroup_Oab__group__add(t_b) ),
inference(forward_demodulation,[],[f105,f81]) ).
fof(f110,plain,
! [X0] :
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_minus(X0,c_0,t_b) = X0 ),
inference(forward_demodulation,[],[f108,f58]) ).
fof(f111,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ c_lessequals(X3,X1,X2)
| c_lessequals(c_Orderings_Omax(X3,X0,X2),X1,X2)
| ~ c_lessequals(X0,X1,X2) ),
inference(resolution,[],[f23,f30]) ).
fof(f112,plain,
! [X0] :
( c_minus(X0,c_0,t_b) = X0
| ~ class_Ring__and__Field_Oordered__idom(t_b) ),
inference(resolution,[],[f110,f32]) ).
fof(f113,plain,
! [X0] : c_minus(X0,c_0,t_b) = X0,
inference(forward_subsumption_resolution,[],[f112,f3]) ).
fof(f120,plain,
! [X0,X1] :
( c_minus(X0,c_minus(X1,X1,t_b),t_b) = X0
| ~ class_Ring__and__Field_Oordered__idom(t_b) ),
inference(resolution,[],[f98,f32]) ).
fof(f121,plain,
! [X0,X1] : c_minus(X0,c_minus(X1,X1,t_b),t_b) = X0,
inference(forward_subsumption_resolution,[],[f120,f3]) ).
fof(f130,plain,
! [X0] : c_0 = c_uminus(c_minus(X0,X0,t_b),t_b),
inference(superposition,[],[f96,f121]) ).
fof(f147,plain,
! [X0,X1] :
( c_lessequals(X0,X1,t_b)
| c_lessequals(X1,X0,t_b)
| ~ class_Ring__and__Field_Oordered__idom(t_b) ),
inference(resolution,[],[f90,f49]) ).
fof(f148,plain,
! [X0,X1] :
( c_lessequals(X0,X1,t_b)
| c_lessequals(X1,X0,t_b) ),
inference(forward_subsumption_resolution,[],[f147,f3]) ).
fof(f149,plain,
! [X0] :
( ~ c_lessequals(X0,c_0,t_b)
| c_HOL_Oabs(X0,t_b) = c_uminus(X0,t_b) ),
inference(resolution,[],[f89,f3]) ).
fof(f151,plain,
! [X0,X1] : c_uminus(c_minus(X0,X1,t_b),t_b) = c_minus(X1,X0,t_b),
inference(resolution,[],[f92,f3]) ).
fof(f154,plain,
! [X0,X1] : c_uminus(X0,t_b) = c_minus(c_minus(X1,X1,t_b),X0,t_b),
inference(superposition,[],[f151,f121]) ).
fof(f155,plain,
! [X0] : c_minus(X0,c_0,t_b) = c_uminus(c_uminus(X0,t_b),t_b),
inference(superposition,[],[f151,f96]) ).
fof(f160,plain,
! [X0] : c_0 = c_minus(X0,X0,t_b),
inference(superposition,[],[f130,f151]) ).
fof(f163,plain,
! [X0] : c_uminus(c_uminus(X0,t_b),t_b) = X0,
inference(forward_demodulation,[],[f155,f113]) ).
fof(f164,plain,
! [X0,X1] : c_uminus(X0,t_b) = c_minus(X1,c_plus(X1,X0,t_b),t_b),
inference(forward_demodulation,[],[f154,f81]) ).
fof(f175,plain,
! [X0,X1] : c_plus(X1,X0,t_b) = c_minus(X1,c_uminus(X0,t_b),t_b),
inference(superposition,[],[f93,f163]) ).
fof(f183,plain,
! [X0,X1] : c_uminus(c_uminus(X1,t_b),t_b) = c_minus(X0,c_minus(X0,X1,t_b),t_b),
inference(superposition,[],[f164,f93]) ).
fof(f186,plain,
! [X0,X1] : c_uminus(c_uminus(X0,t_b),t_b) = c_minus(c_plus(X1,X0,t_b),X1,t_b),
inference(superposition,[],[f151,f164]) ).
fof(f188,plain,
! [X0,X1] : c_minus(c_plus(X1,X0,t_b),X1,t_b) = X0,
inference(forward_demodulation,[],[f186,f163]) ).
fof(f190,plain,
! [X0,X1] : c_minus(X0,c_minus(X0,X1,t_b),t_b) = X1,
inference(forward_demodulation,[],[f183,f163]) ).
fof(f193,plain,
! [X0,X1] : c_uminus(X1,t_b) = c_minus(c_minus(X0,X1,t_b),X0,t_b),
inference(superposition,[],[f188,f93]) ).
fof(f203,plain,
! [X0,X1] : c_uminus(X1,t_b) = c_minus(X0,c_plus(X1,X0,t_b),t_b),
inference(forward_demodulation,[],[f193,f81]) ).
fof(f212,plain,
! [X0,X1] : c_minus(c_plus(X1,X0,t_b),X0,t_b) = X1,
inference(superposition,[],[f190,f188]) ).
fof(f237,plain,
! [X2,X0,X1] :
( c_lessequals(c_Orderings_Omax(X0,X2,t_b),X1,t_b)
| ~ c_lessequals(X0,X1,t_b)
| ~ c_lessequals(X2,X1,t_b) ),
inference(resolution,[],[f111,f3]) ).
fof(f288,plain,
! [X0] : c_0 = c_plus(c_uminus(X0,t_b),X0,t_b),
inference(superposition,[],[f160,f175]) ).
fof(f298,plain,
! [X0,X1] : c_plus(c_plus(c_uminus(X0,t_b),X1,t_b),X0,t_b) = X1,
inference(superposition,[],[f188,f175]) ).
fof(f395,plain,
! [X0,X1] : c_plus(X0,X1,t_b) = c_minus(X1,c_uminus(X0,t_b),t_b),
inference(superposition,[],[f190,f203]) ).
fof(f419,plain,
! [X0,X1] : c_minus(X0,X1,t_b) = c_plus(c_uminus(X1,t_b),X0,t_b),
inference(superposition,[],[f212,f298]) ).
fof(f452,plain,
! [X2,X0,X1] : c_minus(X2,c_minus(X0,X1,t_b),t_b) = c_plus(c_minus(X1,X0,t_b),X2,t_b),
inference(superposition,[],[f395,f151]) ).
fof(f461,plain,
! [X0,X1] : c_plus(X0,X1,t_b) = c_plus(X1,X0,t_b),
inference(superposition,[],[f175,f395]) ).
fof(f622,plain,
! [X2,X0,X1] : c_plus(X2,c_plus(X0,X1,t_b),t_b) = c_minus(c_plus(X2,X0,t_b),c_uminus(X1,t_b),t_b),
inference(superposition,[],[f79,f175]) ).
fof(f632,plain,
! [X0] : c_minus(c_plus(X0,sF0,t_b),sF4,t_b) = c_plus(X0,sF5,t_b),
inference(superposition,[],[f79,f45]) ).
fof(f645,plain,
! [X2,X0,X1] : c_minus(c_plus(X0,X1,t_b),X2,t_b) = c_plus(c_minus(X1,X2,t_b),X0,t_b),
inference(superposition,[],[f461,f79]) ).
fof(f667,plain,
! [X2,X0,X1] : c_minus(c_plus(X0,X1,t_b),X2,t_b) = c_minus(X0,c_minus(X2,X1,t_b),t_b),
inference(forward_demodulation,[],[f645,f452]) ).
fof(f681,plain,
! [X2,X0,X1] : c_plus(X2,c_plus(X0,X1,t_b),t_b) = c_plus(c_plus(X2,X0,t_b),X1,t_b),
inference(forward_demodulation,[],[f622,f175]) ).
fof(f746,plain,
! [X0] : c_plus(c_uminus(X0,t_b),sF5,t_b) = c_minus(c_minus(sF0,X0,t_b),sF4,t_b),
inference(superposition,[],[f632,f419]) ).
fof(f757,plain,
! [X0] : c_plus(c_uminus(X0,t_b),sF5,t_b) = c_minus(sF0,c_plus(X0,sF4,t_b),t_b),
inference(forward_demodulation,[],[f746,f81]) ).
fof(f765,plain,
! [X0] : c_minus(sF0,c_plus(X0,sF4,t_b),t_b) = c_minus(sF5,X0,t_b),
inference(forward_demodulation,[],[f757,f419]) ).
fof(f885,plain,
! [X0] : c_minus(sF0,X0,t_b) = c_minus(sF5,c_plus(c_uminus(sF4,t_b),X0,t_b),t_b),
inference(superposition,[],[f765,f298]) ).
fof(f899,plain,
! [X0] : c_minus(sF0,X0,t_b) = c_minus(sF5,c_minus(X0,sF4,t_b),t_b),
inference(forward_demodulation,[],[f885,f419]) ).
fof(f3392,plain,
! [X0] : c_lessequals(c_plus(X0,sF4,t_b),c_plus(X0,sF1,t_b),t_b),
inference(resolution,[],[f71,f52]) ).
fof(f3523,plain,
! [X0] :
( c_lessequals(sF3,X0,t_b)
| ~ c_lessequals(sF2,X0,t_b)
| ~ c_lessequals(c_0,X0,t_b) ),
inference(superposition,[],[f237,f41]) ).
fof(f3640,plain,
! [X0] : c_lessequals(c_plus(c_plus(c_uminus(sF1,t_b),X0,t_b),sF4,t_b),X0,t_b),
inference(superposition,[],[f3392,f298]) ).
fof(f3642,plain,
! [X0] : c_lessequals(c_plus(c_uminus(sF1,t_b),c_plus(X0,sF4,t_b),t_b),X0,t_b),
inference(forward_demodulation,[],[f3640,f681]) ).
fof(f3653,plain,
! [X0] : c_lessequals(c_minus(c_plus(X0,sF4,t_b),sF1,t_b),X0,t_b),
inference(forward_demodulation,[],[f3642,f419]) ).
fof(f3658,plain,
! [X0] : c_lessequals(c_minus(X0,c_minus(sF1,sF4,t_b),t_b),X0,t_b),
inference(forward_demodulation,[],[f3653,f667]) ).
fof(f3742,plain,
c_lessequals(c_minus(sF0,sF1,t_b),sF5,t_b),
inference(superposition,[],[f3658,f899]) ).
fof(f3743,plain,
c_lessequals(sF2,sF5,t_b),
inference(forward_demodulation,[],[f3742,f39]) ).
fof(f3940,plain,
( ~ c_lessequals(sF2,sF6,t_b)
| ~ c_lessequals(c_0,sF6,t_b) ),
inference(resolution,[],[f3523,f48]) ).
fof(f3946,plain,
~ c_lessequals(sF2,sF6,t_b),
inference(forward_subsumption_resolution,[],[f3940,f57]) ).
fof(f3948,plain,
! [X0] :
( ~ c_lessequals(X0,sF6,t_b)
| ~ c_lessequals(sF2,X0,t_b) ),
inference(resolution,[],[f3946,f62]) ).
fof(f3957,plain,
~ c_lessequals(sF2,c_0,t_b),
inference(resolution,[],[f3948,f57]) ).
fof(f3965,plain,
! [X0] :
( ~ c_lessequals(sF2,X0,t_b)
| ~ c_lessequals(X0,c_0,t_b) ),
inference(resolution,[],[f3957,f62]) ).
fof(f4058,plain,
~ c_lessequals(sF5,c_0,t_b),
inference(resolution,[],[f3965,f3743]) ).
fof(f4075,plain,
c_lessequals(c_0,sF5,t_b),
inference(resolution,[],[f4058,f148]) ).
fof(f4077,plain,
! [X0] : c_lessequals(c_plus(X0,c_0,t_b),c_plus(X0,sF5,t_b),t_b),
inference(resolution,[],[f4075,f71]) ).
fof(f4078,plain,
! [X0] : c_lessequals(c_minus(X0,c_0,t_b),c_plus(X0,sF5,t_b),t_b),
inference(forward_demodulation,[],[f4077,f103]) ).
fof(f4079,plain,
! [X0] : c_lessequals(X0,c_plus(X0,sF5,t_b),t_b),
inference(forward_demodulation,[],[f4078,f113]) ).
fof(f4231,plain,
c_lessequals(c_uminus(sF5,t_b),c_0,t_b),
inference(superposition,[],[f4079,f288]) ).
fof(f4237,plain,
c_uminus(c_uminus(sF5,t_b),t_b) = c_HOL_Oabs(c_uminus(sF5,t_b),t_b),
inference(resolution,[],[f4231,f149]) ).
fof(f4240,plain,
c_HOL_Oabs(sF5,t_b) = c_uminus(c_uminus(sF5,t_b),t_b),
inference(forward_demodulation,[],[f4237,f83]) ).
fof(f4242,plain,
sF5 = c_HOL_Oabs(sF5,t_b),
inference(forward_demodulation,[],[f4240,f163]) ).
fof(f4245,plain,
sF5 = sF6,
inference(superposition,[],[f47,f4242]) ).
fof(f4273,plain,
~ c_lessequals(sF2,sF5,t_b),
inference(superposition,[],[f3946,f4245]) ).
fof(f4285,plain,
$false,
inference(forward_subsumption_resolution,[],[f4273,f3743]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA026-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.16 % Computer : n005.cluster.edu
% 0.06/0.16 % Model : x86_64 x86_64
% 0.06/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.16 % Memory : 8046.5625MB
% 0.06/0.16 % OS : Linux 6.8.0-71-generic
% 0.06/0.16 % CPULimit : 300
% 0.06/0.16 % WCLimit : 300
% 0.06/0.16 % DateTime : Mon Sep 28 20:30:31 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.20 Running first-order theorem proving
% 0.06/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.16/1.88 % (1120790)Input is clausal, will run a generic CNF schedule.
% 7.16/1.88 % (1120799)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=973774203:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.16/1.88 % (1120795)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2347303970:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.16/1.88 % (1120801)dis-21_1_sil=8000:lcm=predicate:random_seed=1960990822:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 7.16/1.88 % (1120797)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3087197146:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.16/1.88 % (1120796)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1939086247:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.16/1.88 % (1120798)lrs+10_1_sil=8000:sp=occurrence:random_seed=1798595200:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.16/1.88 % (1120800)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=587514713:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.16/1.88 % (1120799)Instruction limit reached!
% 7.16/1.88 % (1120799)------------------------------
% 7.16/1.88 % (1120799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.88 % (1120799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.88 % (1120799)CaDiCaL version: 2.1.3
% 7.16/1.88 % (1120799)Termination reason: Instruction limit
% 7.16/1.88 % (1120799)Termination phase: Saturation
% 7.16/1.88 % (1120799)Time elapsed: 0.036 s
% 7.16/1.88 % (1120799)Peak memory usage: 88 MB
% 7.16/1.88 % (1120799)Instructions burned: 117 (million)
% 7.16/1.88 % (1120801)Instruction limit reached!
% 7.16/1.88 % (1120801)------------------------------
% 7.16/1.88 % (1120801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.88 % (1120801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.88 % (1120801)CaDiCaL version: 2.1.3
% 7.16/1.88 % (1120801)Termination reason: Instruction limit
% 7.16/1.88 % (1120801)Termination phase: Saturation
% 7.16/1.88 % (1120801)Time elapsed: 0.060 s
% 7.16/1.88 % (1120801)Peak memory usage: 88 MB
% 7.16/1.88 % (1120801)Instructions burned: 117 (million)
% 7.16/1.88 % (1120798)Instruction limit reached!
% 7.16/1.88 % (1120798)------------------------------
% 7.16/1.88 % (1120798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.88 % (1120798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.88 % (1120798)CaDiCaL version: 2.1.3
% 7.16/1.88 % (1120798)Termination reason: Instruction limit
% 7.16/1.88 % (1120798)Termination phase: Saturation
% 7.16/1.88 % (1120798)Time elapsed: 0.069 s
% 7.16/1.88 % (1120798)Peak memory usage: 88 MB
% 7.16/1.88 % (1120798)Instructions burned: 108 (million)
% 7.16/1.88 % (1120800)Instruction limit reached!
% 7.16/1.88 % (1120800)------------------------------
% 7.16/1.88 % (1120800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.88 % (1120800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.89 % (1120800)CaDiCaL version: 2.1.3
% 7.16/1.89 % (1120800)Termination reason: Instruction limit
% 7.16/1.89 % (1120800)Termination phase: Saturation
% 7.16/1.89 % (1120800)Time elapsed: 0.104 s
% 7.16/1.89 % (1120800)Peak memory usage: 90 MB
% 7.16/1.89 % (1120800)Instructions burned: 182 (million)
% 7.16/1.89 % (1120809)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=916156228:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.16/1.89 % (1120809)Refutation not found, incomplete strategy
% 7.16/1.89 % (1120809)------------------------------
% 7.16/1.89 % (1120809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.89 % (1120809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.89 % (1120809)CaDiCaL version: 2.1.3
% 7.16/1.89 % (1120809)Termination reason: Refutation not found, incomplete strategy
% 7.16/1.89 % (1120809)Time elapsed: 0.002 s
% 7.16/1.89 % (1120809)Peak memory usage: 88 MB
% 7.16/1.89 % (1120809)Instructions burned: 2 (million)
% 7.16/1.89 % (1120810)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=243852860:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 7.16/1.89 % (1120811)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3888732566:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.16/1.89 % (1120811)Refutation not found, incomplete strategy
% 7.16/1.89 % (1120811)------------------------------
% 7.16/1.89 % (1120811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.89 % (1120811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.89 % (1120811)CaDiCaL version: 2.1.3
% 7.16/1.89 % (1120811)Termination reason: Refutation not found, incomplete strategy
% 7.16/1.89 % (1120811)Time elapsed: 0.003 s
% 7.16/1.89 % (1120811)Peak memory usage: 88 MB
% 7.16/1.89 % (1120811)Instructions burned: 2 (million)
% 7.16/1.89 % (1120812)lrs+10_64_to=lpo:sil=8000:random_seed=2077108657:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 7.16/1.89 % (1120809)------------------------------
% 7.16/1.89 % (1120809)------------------------------
% 7.16/1.89 % (1120810)Instruction limit reached!
% 7.16/1.89 % (1120810)------------------------------
% 7.16/1.89 % (1120810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.89 % (1120810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.89 % (1120810)CaDiCaL version: 2.1.3
% 7.16/1.89 % (1120810)Termination reason: Instruction limit
% 7.16/1.89 % (1120810)Termination phase: Saturation
% 7.16/1.89 % (1120810)Time elapsed: 0.123 s
% 7.16/1.89 % (1120810)Peak memory usage: 91 MB
% 7.16/1.89 % (1120810)Instructions burned: 190 (million)
% 7.16/1.89 % (1120812)Instruction limit reached!
% 7.16/1.89 % (1120812)------------------------------
% 7.16/1.89 % (1120812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.89 % (1120812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.89 % (1120812)CaDiCaL version: 2.1.3
% 7.16/1.89 % (1120812)Termination reason: Instruction limit
% 7.16/1.89 % (1120812)Termination phase: Saturation
% 7.16/1.89 % (1120812)Time elapsed: 0.070 s
% 7.16/1.89 % (1120812)Peak memory usage: 88 MB
% 7.16/1.89 % (1120812)Instructions burned: 127 (million)
% 7.16/1.89 % (1120817)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3054966830:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.16/1.89 % (1120817)Instruction limit reached!
% 7.16/1.89 % (1120817)------------------------------
% 7.16/1.89 % (1120817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.89 % (1120817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.89 % (1120817)CaDiCaL version: 2.1.3
% 7.16/1.89 % (1120817)Termination reason: Instruction limit
% 7.16/1.89 % (1120817)Termination phase: Saturation
% 7.16/1.89 % (1120817)Time elapsed: 0.061 s
% 7.16/1.89 % (1120817)Peak memory usage: 90 MB
% 7.16/1.89 % (1120817)Instructions burned: 195 (million)
% 7.16/1.89 % (1120818)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1461505073:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 7.16/1.89 % (1120811)------------------------------
% 7.16/1.89 % (1120811)------------------------------
% 7.16/1.89 % (1120819)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1308968373:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 7.16/1.89 % (1120818)Instruction limit reached!
% 7.16/1.89 % (1120818)------------------------------
% 7.16/1.89 % (1120818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.89 % (1120818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.89 % (1120818)CaDiCaL version: 2.1.3
% 7.16/1.89 % (1120818)Termination reason: Instruction limit
% 7.16/1.89 % (1120818)Termination phase: Saturation
% 7.16/1.89 % (1120818)Time elapsed: 0.101 s
% 7.16/1.89 % (1120818)Peak memory usage: 90 MB
% 7.16/1.89 % (1120818)Instructions burned: 157 (million)
% 7.16/1.89 % (1120821)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3195921749:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 7.16/1.89 % (1120821)Instruction limit reached!
% 7.16/1.89 % (1120821)------------------------------
% 7.16/1.89 % (1120821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.89 % (1120821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.89 % (1120821)CaDiCaL version: 2.1.3
% 7.16/1.89 % (1120821)Termination reason: Instruction limit
% 7.16/1.89 % (1120821)Termination phase: Saturation
% 7.16/1.89 % (1120821)Time elapsed: 0.035 s
% 7.16/1.89 % (1120821)Peak memory usage: 89 MB
% 7.16/1.89 % (1120821)Instructions burned: 108 (million)
% 7.16/1.89 % (1120823)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4253698396:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 7.16/1.89 % (1120823)Instruction limit reached!
% 7.16/1.89 % (1120823)------------------------------
% 7.16/1.89 % (1120823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.89 % (1120823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.89 % (1120823)CaDiCaL version: 2.1.3
% 7.16/1.89 % (1120823)Termination reason: Instruction limit
% 7.16/1.89 % (1120823)Termination phase: Saturation
% 7.16/1.89 % (1120823)Time elapsed: 0.075 s
% 7.16/1.89 % (1120823)Peak memory usage: 89 MB
% 7.16/1.89 % (1120823)Instructions burned: 107 (million)
% 7.16/1.89 % (1120825)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1095783625:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 7.16/1.89 % (1120827)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2130382782:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 7.16/1.89 % (1120825)First to succeed.
% 7.16/1.89 % (1120825)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1120790"
% 7.16/1.89 % (1120831)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=782602591:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 7.16/1.89 % (1120831)Instruction limit reached!
% 7.16/1.89 % (1120831)------------------------------
% 7.16/1.89 % (1120831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.89 % (1120831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.89 % (1120831)CaDiCaL version: 2.1.3
% 7.16/1.89 % (1120831)Termination reason: Instruction limit
% 7.16/1.89 % (1120831)Termination phase: Saturation
% 7.16/1.89 % (1120831)Time elapsed: 0.075 s
% 7.16/1.89 % (1120831)Peak memory usage: 90 MB
% 7.16/1.89 % (1120831)Instructions burned: 134 (million)
% 7.16/1.89 % (1120825)Refutation found. Thanks to Tanya!
% 7.16/1.89 % SZS status Unsatisfiable for theBenchmark
% 7.16/1.89 % SZS output start Proof for theBenchmark
% See solution above
% 9.34/2.08 % (1120825)------------------------------
% 9.34/2.08 % (1120825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.08 % (1120825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.08 % (1120825)CaDiCaL version: 2.1.3
% 9.34/2.08 % (1120825)Termination reason: Refutation
% 9.34/2.08 % (1120825)Time elapsed: 0.075 s
% 9.34/2.08 % (1120825)Peak memory usage: 90 MB
% 9.34/2.08 % (1120825)Instructions burned: 123 (million)
% 9.34/2.08 % (1120825)------------------------------
% 9.34/2.08 % (1120825)------------------------------
% 9.34/2.08 % (1120790)Success in time 1.241 s
% 9.34/2.08 % Vampire exiting
%------------------------------------------------------------------------------