%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ANA026-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 09:31:20 AM UTC 2026
% Result : Unsatisfiable 26.25s 4.45s
% Output : Refutation 26.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 37
% Syntax : Number of formulae : 156 ( 82 unt; 7 def)
% Number of atoms : 289 ( 73 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 260 ( 127 ~; 133 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-3 aty)
% Number of variables : 203 ( 203 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : c_lessequals(v_g(X0),v_k(X0),t_b),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f4,axiom,
! [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/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oab__group__add__class_Odiff__minus_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,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/sandbox2/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,axiom,
! [X0,X1] :
( ~ c_lessequals(X1,c_0,X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_HOL_Oabs(X1,X0) = c_uminus(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonpos_0) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_plus(X3,X1,X0),c_plus(X3,X2,X0),X0)
| ~ c_lessequals(X1,X2,X0)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oadd__le__cancel__left_1) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
| c_lessequals(X1,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oadd__le__cancel__right_0) ).
fof(f11,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_plus(c_0,X1,X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_minus(c_plus(X1,X2,X0),X2,X0) = X1 ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__2_0) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_plus(c_minus(X1,X2,X0),X3,X0) = c_minus(c_plus(X1,X3,X0),X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__3_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/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__4_0) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ c_less(c_minus(X1,X2,X0),X3,X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| c_less(X1,c_plus(X3,X2,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__6_0) ).
fof(f17,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,c_plus(X2,X3,X0),X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| c_lessequals(c_minus(X1,X3,X0),X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__8_1) ).
fof(f18,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_minus(X1,X1,X0) = c_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__self_0) ).
fof(f19,plain,
! [X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_0 = c_minus(X1,X1,X0) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,axiom,
! [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/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__diff__eq_0) ).
fof(f21,axiom,
! [X2,X0,X1] :
( c_less(X1,X2,X0)
| ~ class_Orderings_Olinorder(X0)
| c_lessequals(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).
fof(f23,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0)
| ~ c_lessequals(X1,X2,X0)
| ~ c_lessequals(X3,X2,X0)
| ~ class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).
fof(f24,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X3,X1,X0)
| ~ c_lessequals(X1,X2,X0)
| ~ class_Orderings_Oorder(X0)
| c_lessequals(X3,X2,X0) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
fof(f27,axiom,
! [X0] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| class_OrderedGroup_Opordered__ab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
fof(f28,axiom,
! [X0] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_6) ).
fof(f29,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Ocomm__monoid__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).
fof(f30,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f31,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_LOrder_Ojoin__semilorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_35) ).
fof(f32,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).
fof(f33,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/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,
class_OrderedGroup_Ocomm__monoid__add(t_b),
inference(resolution,[],[f29,f3]) ).
fof(f50,plain,
class_Orderings_Olinorder(t_b),
inference(resolution,[],[f30,f3]) ).
fof(f51,plain,
class_LOrder_Ojoin__semilorder(t_b),
inference(resolution,[],[f31,f3]) ).
fof(f52,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(resolution,[],[f32,f3]) ).
fof(f53,plain,
class_Orderings_Oorder(t_b),
inference(resolution,[],[f51,f26]) ).
fof(f54,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f33,f3]) ).
fof(f55,plain,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b),
inference(resolution,[],[f54,f28]) ).
fof(f56,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(resolution,[],[f54,f27]) ).
fof(f57,plain,
c_lessequals(v_g(v_x),sF1,t_b),
inference(superposition,[],[f1,f37]) ).
fof(f58,plain,
c_lessequals(sF4,sF1,t_b),
inference(forward_demodulation,[],[f57,f43]) ).
fof(f61,plain,
( c_lessequals(c_0,sF6,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(superposition,[],[f5,f47]) ).
fof(f62,plain,
c_lessequals(c_0,sF6,t_b),
inference(forward_subsumption_resolution,[],[f61,f54]) ).
fof(f63,plain,
! [X0] : c_plus(c_0,X0,t_b) = X0,
inference(resolution,[],[f11,f49]) ).
fof(f64,plain,
! [X0] : c_0 = c_minus(X0,X0,t_b),
inference(resolution,[],[f19,f52]) ).
fof(f67,plain,
! [X2,X0,X1] :
( c_lessequals(X2,X1,X0)
| c_lessequals(X1,X2,X0)
| ~ class_Orderings_Olinorder(X0)
| ~ class_Orderings_Oorder(X0) ),
inference(resolution,[],[f25,f21]) ).
fof(f68,plain,
! [X0] : c_HOL_Oabs(X0,t_b) = c_HOL_Oabs(c_uminus(X0,t_b),t_b),
inference(resolution,[],[f7,f54]) ).
fof(f69,plain,
! [X0,X1] : c_minus(c_plus(X0,X1,t_b),X1,t_b) = X0,
inference(resolution,[],[f12,f52]) ).
fof(f71,plain,
! [X0,X1] : c_minus(X0,X1,t_b) = c_plus(X0,c_uminus(X1,t_b),t_b),
inference(resolution,[],[f4,f52]) ).
fof(f74,plain,
! [X0] : c_uminus(X0,t_b) = c_minus(c_0,X0,t_b),
inference(superposition,[],[f63,f71]) ).
fof(f75,plain,
! [X0,X1] : c_minus(c_minus(X0,X1,t_b),c_uminus(X1,t_b),t_b) = X0,
inference(superposition,[],[f69,f71]) ).
fof(f76,plain,
! [X0,X1] : c_uminus(c_minus(X0,X1,t_b),t_b) = c_minus(X1,X0,t_b),
inference(resolution,[],[f20,f52]) ).
fof(f78,plain,
c_0 = c_uminus(c_0,t_b),
inference(superposition,[],[f64,f74]) ).
fof(f81,plain,
! [X0] :
( ~ c_lessequals(sF6,X0,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_0,X0,t_b) ),
inference(resolution,[],[f24,f62]) ).
fof(f83,plain,
! [X0] :
( ~ c_lessequals(sF6,X0,t_b)
| c_lessequals(c_0,X0,t_b) ),
inference(forward_subsumption_resolution,[],[f81,f53]) ).
fof(f86,plain,
! [X0] : c_minus(X0,c_0,t_b) = c_plus(X0,c_0,t_b),
inference(superposition,[],[f71,f78]) ).
fof(f87,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_lessequals(c_plus(X3,X1,X2),X4,X2)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)
| ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| c_lessequals(c_plus(X3,X0,X2),X4,X2) ),
inference(resolution,[],[f9,f24]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
| c_lessequals(X1,X1,X0)
| ~ c_lessequals(X2,X2,X0)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
inference(resolution,[],[f10,f9]) ).
fof(f103,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X2,X2,X0)
| c_lessequals(X1,X1,X0)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
inference(duplicate_literal_removal,[],[f98]) ).
fof(f115,plain,
! [X0] :
( ~ c_less(sF5,X0,t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_less(sF0,c_plus(X0,sF4,t_b),t_b) ),
inference(superposition,[],[f16,f45]) ).
fof(f116,plain,
! [X0] :
( c_less(sF0,c_plus(X0,sF4,t_b),t_b)
| ~ c_less(sF5,X0,t_b) ),
inference(forward_subsumption_resolution,[],[f115,f56]) ).
fof(f134,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_minus(c_plus(X1,X2,X0),X3,X0),X1,X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| ~ c_lessequals(X2,X3,X0)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
inference(resolution,[],[f17,f9]) ).
fof(f148,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,[],[f13,f52]) ).
fof(f151,plain,
! [X2,X0,X1] : c_plus(c_minus(X0,X1,t_b),X2,t_b) = c_minus(c_plus(X0,X2,t_b),X1,t_b),
inference(resolution,[],[f14,f52]) ).
fof(f152,plain,
! [X0] :
( ~ c_less(sF5,X0,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(sF0,c_plus(X0,sF4,t_b),t_b) ),
inference(resolution,[],[f116,f25]) ).
fof(f156,plain,
! [X0] :
( c_lessequals(sF0,c_plus(X0,sF4,t_b),t_b)
| ~ c_less(sF5,X0,t_b) ),
inference(forward_subsumption_resolution,[],[f152,f53]) ).
fof(f157,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,[],[f15,f52]) ).
fof(f162,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_minus(c_Orderings_Omax(X4,X0,X3),X2,X3),X1,X3)
| ~ c_lessequals(X4,c_plus(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_lessequals(X0,c_plus(X1,X2,X3),X3) ),
inference(resolution,[],[f23,f17]) ).
fof(f163,plain,
! [X0] :
( c_lessequals(sF3,X0,t_b)
| ~ c_lessequals(c_0,X0,t_b)
| ~ c_lessequals(sF2,X0,t_b)
| ~ class_Orderings_Olinorder(t_b) ),
inference(superposition,[],[f23,f41]) ).
fof(f164,plain,
! [X0] :
( ~ c_lessequals(sF2,X0,t_b)
| ~ c_lessequals(c_0,X0,t_b)
| c_lessequals(sF3,X0,t_b) ),
inference(forward_subsumption_resolution,[],[f163,f50]) ).
fof(f200,plain,
! [X0] :
( c_lessequals(X0,sF6,t_b)
| ~ class_Orderings_Olinorder(t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_0,X0,t_b) ),
inference(resolution,[],[f67,f83]) ).
fof(f204,plain,
! [X0] :
( c_lessequals(X0,sF6,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_0,X0,t_b) ),
inference(forward_subsumption_resolution,[],[f200,f50]) ).
fof(f212,plain,
! [X0] :
( c_lessequals(X0,sF6,t_b)
| c_lessequals(c_0,X0,t_b) ),
inference(forward_subsumption_resolution,[],[f204,f53]) ).
fof(f224,plain,
( c_lessequals(c_0,sF2,t_b)
| ~ c_lessequals(c_0,sF6,t_b)
| c_lessequals(sF3,sF6,t_b) ),
inference(resolution,[],[f212,f164]) ).
fof(f230,plain,
( c_lessequals(c_0,sF2,t_b)
| c_lessequals(sF3,sF6,t_b) ),
inference(forward_subsumption_resolution,[],[f224,f62]) ).
fof(f232,plain,
c_lessequals(c_0,sF2,t_b),
inference(forward_subsumption_resolution,[],[f230,f48]) ).
fof(f256,plain,
! [X0] :
( ~ c_lessequals(sF2,X0,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_0,X0,t_b) ),
inference(resolution,[],[f232,f24]) ).
fof(f257,plain,
! [X0] :
( ~ c_lessequals(sF2,X0,t_b)
| c_lessequals(c_0,X0,t_b) ),
inference(forward_subsumption_resolution,[],[f256,f53]) ).
fof(f259,plain,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| ~ c_lessequals(X1,X2,X0)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_HOL_Oabs(c_minus(c_plus(c_0,X1,X0),X2,X0),X0) = c_uminus(c_minus(c_plus(c_0,X1,X0),X2,X0),X0) ),
inference(resolution,[],[f134,f8]) ).
fof(f269,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X2,X0)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_HOL_Oabs(c_minus(c_plus(c_0,X1,X0),X2,X0),X0) = c_uminus(c_minus(c_plus(c_0,X1,X0),X2,X0),X0) ),
inference(forward_subsumption_resolution,[],[f259,f27]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X2,X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
| c_HOL_Oabs(c_minus(c_plus(c_0,X1,X0),X2,X0),X0) = c_uminus(c_minus(c_plus(c_0,X1,X0),X2,X0),X0) ),
inference(forward_subsumption_resolution,[],[f269,f28]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
| ~ c_lessequals(X1,X2,X0)
| ~ class_Orderings_Oorder(X0)
| c_lessequals(c_plus(X3,X1,X0),c_plus(X3,X4,X0),X0)
| ~ c_lessequals(X2,X4,X0)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
inference(resolution,[],[f87,f9]) ).
fof(f299,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_lessequals(X2,X4,X0)
| ~ c_lessequals(X1,X2,X0)
| ~ class_Orderings_Oorder(X0)
| c_lessequals(c_plus(X3,X1,X0),c_plus(X3,X4,X0),X0)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
inference(duplicate_literal_removal,[],[f291]) ).
fof(f377,plain,
! [X0,X1] :
( c_lessequals(c_minus(sF3,X0,t_b),X1,t_b)
| ~ c_lessequals(sF2,c_plus(X1,X0,t_b),t_b)
| ~ class_Orderings_Olinorder(t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_lessequals(c_0,c_plus(X1,X0,t_b),t_b) ),
inference(superposition,[],[f162,f41]) ).
fof(f383,plain,
! [X0,X1] :
( c_lessequals(c_minus(sF3,X0,t_b),X1,t_b)
| ~ c_lessequals(sF2,c_plus(X1,X0,t_b),t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_lessequals(c_0,c_plus(X1,X0,t_b),t_b) ),
inference(forward_subsumption_resolution,[],[f377,f50]) ).
fof(f387,plain,
! [X0,X1] :
( c_lessequals(c_minus(sF3,X0,t_b),X1,t_b)
| ~ c_lessequals(sF2,c_plus(X1,X0,t_b),t_b)
| ~ c_lessequals(c_0,c_plus(X1,X0,t_b),t_b) ),
inference(forward_subsumption_resolution,[],[f383,f56]) ).
fof(f388,plain,
! [X0,X1] :
( ~ c_lessequals(sF2,c_plus(X1,X0,t_b),t_b)
| c_lessequals(c_minus(sF3,X0,t_b),X1,t_b) ),
inference(forward_subsumption_resolution,[],[f387,f257]) ).
fof(f429,plain,
! [X0] : c_minus(X0,c_0,t_b) = c_uminus(c_uminus(X0,t_b),t_b),
inference(superposition,[],[f76,f74]) ).
fof(f432,plain,
c_minus(sF4,sF0,t_b) = c_uminus(sF5,t_b),
inference(superposition,[],[f76,f45]) ).
fof(f450,plain,
! [X0] :
( ~ c_less(sF5,X0,t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(c_minus(sF0,sF4,t_b),X0,t_b) ),
inference(resolution,[],[f156,f17]) ).
fof(f456,plain,
! [X0] :
( ~ c_less(sF5,X0,t_b)
| c_lessequals(c_minus(sF0,sF4,t_b),X0,t_b) ),
inference(forward_subsumption_resolution,[],[f450,f56]) ).
fof(f458,plain,
! [X0] :
( ~ c_less(sF5,X0,t_b)
| c_lessequals(sF5,X0,t_b) ),
inference(forward_demodulation,[],[f456,f45]) ).
fof(f459,plain,
c_minus(sF0,sF4,t_b) = c_uminus(c_uminus(sF5,t_b),t_b),
inference(superposition,[],[f76,f432]) ).
fof(f462,plain,
c_minus(sF0,sF4,t_b) = c_minus(sF5,c_0,t_b),
inference(forward_demodulation,[],[f459,f429]) ).
fof(f463,plain,
sF5 = c_minus(sF5,c_0,t_b),
inference(forward_demodulation,[],[f462,f45]) ).
fof(f507,plain,
! [X0,X1] : c_minus(c_plus(X0,X1,t_b),X1,t_b) = c_plus(X0,c_0,t_b),
inference(superposition,[],[f148,f64]) ).
fof(f542,plain,
! [X0,X1] : c_minus(c_plus(X0,X1,t_b),X1,t_b) = c_minus(X0,c_0,t_b),
inference(forward_demodulation,[],[f507,f86]) ).
fof(f550,plain,
! [X0] : c_minus(X0,c_0,t_b) = X0,
inference(forward_demodulation,[],[f542,f69]) ).
fof(f561,plain,
! [X0] : c_plus(X0,c_0,t_b) = X0,
inference(superposition,[],[f69,f550]) ).
fof(f576,plain,
! [X0,X1] : c_plus(c_0,X1,t_b) = c_minus(c_plus(X0,X1,t_b),X0,t_b),
inference(superposition,[],[f151,f64]) ).
fof(f626,plain,
! [X0,X1] : c_minus(c_plus(X0,X1,t_b),X0,t_b) = X1,
inference(forward_demodulation,[],[f576,f63]) ).
fof(f652,plain,
! [X0] :
( ~ c_lessequals(sF2,X0,t_b)
| c_lessequals(c_minus(sF3,c_0,t_b),X0,t_b) ),
inference(superposition,[],[f388,f561]) ).
fof(f670,plain,
! [X0] :
( ~ c_lessequals(sF2,X0,t_b)
| c_lessequals(sF3,X0,t_b) ),
inference(forward_demodulation,[],[f652,f550]) ).
fof(f682,plain,
! [X0,X1] : c_minus(X0,c_plus(X0,X1,t_b),t_b) = c_minus(c_0,X1,t_b),
inference(superposition,[],[f157,f64]) ).
fof(f703,plain,
! [X2,X0,X1] : c_minus(X2,c_minus(X0,X1,t_b),t_b) = c_uminus(c_minus(X0,c_plus(X1,X2,t_b),t_b),t_b),
inference(superposition,[],[f76,f157]) ).
fof(f706,plain,
! [X2,X0,X1] : c_minus(X2,c_minus(X0,X1,t_b),t_b) = c_minus(c_plus(X1,X2,t_b),X0,t_b),
inference(forward_demodulation,[],[f703,f76]) ).
fof(f719,plain,
! [X0,X1] : c_uminus(X1,t_b) = c_minus(X0,c_plus(X0,X1,t_b),t_b),
inference(forward_demodulation,[],[f682,f74]) ).
fof(f732,plain,
! [X0] :
( c_lessequals(sF5,X0,t_b)
| ~ class_Orderings_Olinorder(t_b)
| c_lessequals(X0,sF5,t_b) ),
inference(resolution,[],[f458,f21]) ).
fof(f735,plain,
! [X0] :
( c_lessequals(sF5,X0,t_b)
| c_lessequals(X0,sF5,t_b) ),
inference(forward_subsumption_resolution,[],[f732,f50]) ).
fof(f938,plain,
c_lessequals(sF5,sF5,t_b),
inference(factoring,[],[f735]) ).
fof(f992,plain,
! [X0] :
( c_lessequals(X0,X0,t_b)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b) ),
inference(resolution,[],[f938,f103]) ).
fof(f996,plain,
! [X0] : c_lessequals(X0,X0,t_b),
inference(forward_subsumption_resolution,[],[f992,f55]) ).
fof(f1446,plain,
! [X0,X1] :
( ~ c_lessequals(X0,sF4,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_plus(X1,X0,t_b),c_plus(X1,sF1,t_b),t_b)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b) ),
inference(resolution,[],[f299,f58]) ).
fof(f1471,plain,
! [X0,X1] :
( ~ c_lessequals(X0,sF4,t_b)
| c_lessequals(c_plus(X1,X0,t_b),c_plus(X1,sF1,t_b),t_b)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b) ),
inference(forward_subsumption_resolution,[],[f1446,f53]) ).
fof(f1500,plain,
! [X0,X1] :
( c_lessequals(c_plus(X1,X0,t_b),c_plus(X1,sF1,t_b),t_b)
| ~ c_lessequals(X0,sF4,t_b) ),
inference(forward_subsumption_resolution,[],[f1471,f55]) ).
fof(f3569,plain,
! [X2,X0,X1] : c_plus(X0,X2,t_b) = c_minus(c_plus(c_plus(X1,X0,t_b),X2,t_b),X1,t_b),
inference(superposition,[],[f151,f626]) ).
fof(f3583,plain,
! [X2,X0,X1] : c_plus(X0,X2,t_b) = c_minus(X2,c_minus(X1,c_plus(X1,X0,t_b),t_b),t_b),
inference(forward_demodulation,[],[f3569,f706]) ).
fof(f3593,plain,
! [X2,X0] : c_plus(X0,X2,t_b) = c_minus(X2,c_uminus(X0,t_b),t_b),
inference(forward_demodulation,[],[f3583,f719]) ).
fof(f4180,plain,
sF4 = c_minus(c_uminus(sF5,t_b),c_uminus(sF0,t_b),t_b),
inference(superposition,[],[f75,f432]) ).
fof(f4209,plain,
sF4 = c_plus(sF0,c_uminus(sF5,t_b),t_b),
inference(forward_demodulation,[],[f4180,f3593]) ).
fof(f4230,plain,
sF4 = c_minus(sF0,sF5,t_b),
inference(forward_demodulation,[],[f4209,f71]) ).
fof(f4520,plain,
sF0 = c_minus(sF4,c_uminus(sF5,t_b),t_b),
inference(superposition,[],[f75,f4230]) ).
fof(f4530,plain,
sF0 = c_plus(sF5,sF4,t_b),
inference(forward_demodulation,[],[f4520,f3593]) ).
fof(f8301,plain,
( c_lessequals(sF0,c_plus(sF5,sF1,t_b),t_b)
| ~ c_lessequals(sF4,sF4,t_b) ),
inference(superposition,[],[f1500,f4530]) ).
fof(f8307,plain,
c_lessequals(sF0,c_plus(sF5,sF1,t_b),t_b),
inference(forward_subsumption_resolution,[],[f8301,f996]) ).
fof(f8382,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(c_minus(sF0,sF1,t_b),sF5,t_b) ),
inference(resolution,[],[f8307,f17]) ).
fof(f8403,plain,
c_lessequals(c_minus(sF0,sF1,t_b),sF5,t_b),
inference(forward_subsumption_resolution,[],[f8382,f56]) ).
fof(f8414,plain,
c_lessequals(sF2,sF5,t_b),
inference(forward_demodulation,[],[f8403,f39]) ).
fof(f8543,plain,
c_lessequals(sF3,sF5,t_b),
inference(resolution,[],[f8414,f670]) ).
fof(f8544,plain,
c_lessequals(c_0,sF5,t_b),
inference(resolution,[],[f8414,f257]) ).
fof(f8928,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_HOL_Oabs(c_minus(c_plus(c_0,c_0,t_b),sF5,t_b),t_b) = c_uminus(c_minus(c_plus(c_0,c_0,t_b),sF5,t_b),t_b) ),
inference(resolution,[],[f8544,f272]) ).
fof(f8939,plain,
c_HOL_Oabs(c_minus(c_plus(c_0,c_0,t_b),sF5,t_b),t_b) = c_uminus(c_minus(c_plus(c_0,c_0,t_b),sF5,t_b),t_b),
inference(forward_subsumption_resolution,[],[f8928,f54]) ).
fof(f8948,plain,
c_HOL_Oabs(c_minus(c_plus(c_0,c_0,t_b),sF5,t_b),t_b) = c_minus(sF5,c_plus(c_0,c_0,t_b),t_b),
inference(forward_demodulation,[],[f8939,f76]) ).
fof(f8953,plain,
c_minus(sF5,c_0,t_b) = c_HOL_Oabs(c_minus(c_0,sF5,t_b),t_b),
inference(forward_demodulation,[],[f8948,f63]) ).
fof(f8956,plain,
c_minus(sF5,c_0,t_b) = c_HOL_Oabs(c_uminus(sF5,t_b),t_b),
inference(forward_demodulation,[],[f8953,f74]) ).
fof(f8959,plain,
c_HOL_Oabs(sF5,t_b) = c_minus(sF5,c_0,t_b),
inference(forward_demodulation,[],[f8956,f68]) ).
fof(f8961,plain,
sF5 = c_HOL_Oabs(sF5,t_b),
inference(forward_demodulation,[],[f8959,f463]) ).
fof(f9319,plain,
sF5 = sF6,
inference(superposition,[],[f47,f8961]) ).
fof(f9388,plain,
~ c_lessequals(sF3,sF5,t_b),
inference(superposition,[],[f48,f9319]) ).
fof(f9405,plain,
$false,
inference(forward_subsumption_resolution,[],[f9388,f8543]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA026-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n008.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 20:31:25 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.76/2.68 % (2594506)Will run a generic schedule for satisfiability detection.
% 16.76/2.68 % (2594511)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1725712811_2999 on theBenchmark for (2999ds/0Mi)
% 16.76/2.68 % TRYING [1]
% 16.76/2.68 % TRYING [2]
% 16.76/2.68 % TRYING [3]
% 16.76/2.68 % (2594512)% WARNING: option uhcvi not known.
% 16.76/2.68 % TRYING [4]
% 16.76/2.68 % (2594514)dis+10_1_sil=32000:sp=arity:random_seed=2906254391:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.76/2.68 % (2594512)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1741009180:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.76/2.68 % (2594516)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1189280264:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.76/2.68 % (2594513)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1994320118:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.76/2.68 % (2594515)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3967882246:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.76/2.68 % (2594517)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3876314752:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.76/2.68 % TRYING [5]
% 16.76/2.68 % TRYING [6]
% 16.76/2.68 % (2594514)Instruction limit reached!
% 16.76/2.68 % (2594514)------------------------------
% 16.76/2.68 % (2594514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.76/2.68 % (2594514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/2.68 % (2594514)CaDiCaL version: 2.1.3
% 16.76/2.68 % (2594514)Termination reason: Instruction limit
% 16.76/2.68 % (2594514)Termination phase: Saturation
% 16.76/2.68 % (2594514)Time elapsed: 0.061 s
% 16.76/2.68 % (2594514)Peak memory usage: 12 MB
% 16.76/2.68 % (2594514)Instructions burned: 103 (million)
% 16.76/2.68 % (2594515)Instruction limit reached!
% 16.76/2.68 % (2594515)------------------------------
% 16.76/2.68 % (2594515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.76/2.68 % (2594515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/2.68 % (2594515)CaDiCaL version: 2.1.3
% 16.76/2.68 % (2594515)Termination reason: Instruction limit
% 16.76/2.68 % (2594515)Termination phase: Saturation
% 16.76/2.68 % (2594515)Time elapsed: 0.070 s
% 16.76/2.68 % (2594515)Peak memory usage: 12 MB
% 16.76/2.68 % (2594515)Instructions burned: 117 (million)
% 16.76/2.68 % (2594516)Instruction limit reached!
% 16.76/2.68 % (2594516)------------------------------
% 16.76/2.68 % (2594516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.76/2.68 % (2594516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/2.68 % (2594516)CaDiCaL version: 2.1.3
% 16.76/2.68 % (2594516)Termination reason: Instruction limit
% 16.76/2.68 % (2594516)Termination phase: Saturation
% 16.76/2.68 % (2594516)Time elapsed: 0.077 s
% 16.76/2.68 % (2594516)Peak memory usage: 12 MB
% 16.76/2.68 % (2594516)Instructions burned: 131 (million)
% 16.76/2.68 % (2594525)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=602492918:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.76/2.68 % TRYING [1]
% 16.76/2.68 % TRYING [2]
% 16.76/2.68 % TRYING [3]
% 16.76/2.68 % (2594526)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3214146175:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 16.76/2.68 % (2594527)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3050992079:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.76/2.68 % (2594517)Instruction limit reached!
% 16.76/2.68 % (2594517)------------------------------
% 16.76/2.68 % (2594517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.76/2.68 % (2594517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/2.68 % (2594517)CaDiCaL version: 2.1.3
% 16.76/2.68 % (2594517)Termination reason: Instruction limit
% 16.76/2.68 % (2594517)Termination phase: Saturation
% 16.76/2.68 % (2594517)Time elapsed: 0.099 s
% 16.76/2.68 % (2594517)Peak memory usage: 13 MB
% 16.76/2.68 % (2594517)Instructions burned: 161 (million)
% 16.76/2.68 % TRYING [4]
% 16.76/2.68 % (2594531)ott-21_1_sil=16000:fs=off:random_seed=1713235052:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.76/2.68 % TRYING [7]
% 16.76/2.68 % (2594526)Instruction limit reached!
% 16.76/2.68 % (2594526)------------------------------
% 16.76/2.68 % (2594526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.45 % (2594526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.45 % (2594526)CaDiCaL version: 2.1.3
% 26.25/4.45 % (2594526)Termination reason: Instruction limit
% 26.25/4.45 % (2594526)Termination phase: Saturation
% 26.25/4.45 % (2594526)Time elapsed: 0.080 s
% 26.25/4.45 % (2594526)Peak memory usage: 13 MB
% 26.25/4.45 % (2594526)Instructions burned: 132 (million)
% 26.25/4.45 % TRYING [5]
% 26.25/4.45 % (2594533)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=298335600:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 26.25/4.45 % (2594531)Instruction limit reached!
% 26.25/4.45 % (2594531)------------------------------
% 26.25/4.45 % (2594531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.45 % (2594531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.45 % (2594531)CaDiCaL version: 2.1.3
% 26.25/4.45 % (2594531)Termination reason: Instruction limit
% 26.25/4.45 % (2594531)Termination phase: Saturation
% 26.25/4.45 % (2594531)Time elapsed: 0.091 s
% 26.25/4.45 % (2594531)Peak memory usage: 12 MB
% 26.25/4.45 % (2594531)Instructions burned: 180 (million)
% 26.25/4.45 % (2594535)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1048004729:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 26.25/4.45 % TRYING [1]
% 26.25/4.45 % TRYING [2]
% 26.25/4.45 % TRYING [3]
% 26.25/4.45 % TRYING [4]
% 26.25/4.45 % TRYING [5]
% 26.25/4.45 % (2594525)Instruction limit reached!
% 26.25/4.45 % (2594525)------------------------------
% 26.25/4.45 % (2594525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.45 % (2594525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.45 % (2594525)CaDiCaL version: 2.1.3
% 26.25/4.45 % (2594525)Termination reason: Instruction limit
% 26.25/4.45 % (2594525)Termination phase: Finite model building constraint generation
% 26.25/4.45 % (2594525)Time elapsed: 0.270 s
% 26.25/4.45 % (2594525)Peak memory usage: 36 MB
% 26.25/4.45 % (2594525)Instructions burned: 716 (million)
% 26.25/4.45 % (2594537)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2705824262:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 26.25/4.45 % TRYING [6]
% 26.25/4.45 % TRYING [8]
% 26.25/4.45 % (2594527)Instruction limit reached!
% 26.25/4.45 % (2594527)------------------------------
% 26.25/4.45 % (2594527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.45 % (2594527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.45 % (2594527)CaDiCaL version: 2.1.3
% 26.25/4.45 % (2594527)Termination reason: Instruction limit
% 26.25/4.45 % (2594527)Termination phase: Saturation
% 26.25/4.45 % (2594527)Time elapsed: 0.407 s
% 26.25/4.45 % (2594527)Peak memory usage: 16 MB
% 26.25/4.45 % (2594527)Instructions burned: 684 (million)
% 26.25/4.45 % (2594533)Instruction limit reached!
% 26.25/4.45 % (2594533)------------------------------
% 26.25/4.45 % (2594533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.45 % (2594533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.45 % (2594533)CaDiCaL version: 2.1.3
% 26.25/4.45 % (2594533)Termination reason: Instruction limit
% 26.25/4.45 % (2594533)Termination phase: Saturation
% 26.25/4.45 % (2594533)Time elapsed: 0.329 s
% 26.25/4.45 % (2594533)Peak memory usage: 14 MB
% 26.25/4.45 % (2594533)Instructions burned: 477 (million)
% 26.25/4.45 % (2594539)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2219998018:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 26.25/4.45 % (2594540)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3885476195:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 26.25/4.45 % (2594535)Instruction limit reached!
% 26.25/4.45 % (2594535)------------------------------
% 26.25/4.45 % (2594535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.45 % (2594535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.45 % (2594535)CaDiCaL version: 2.1.3
% 26.25/4.45 % (2594535)Termination reason: Instruction limit
% 26.25/4.45 % (2594535)Termination phase: Finite model building SAT solving
% 26.25/4.45 % (2594535)Time elapsed: 0.345 s
% 26.25/4.45 % (2594535)Peak memory usage: 26 MB
% 26.25/4.45 % (2594535)Instructions burned: 865 (million)
% 26.25/4.45 % (2594543)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2996234973:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 26.25/4.45 % (2594540)Instruction limit reached!
% 26.25/4.45 % (2594540)------------------------------
% 26.25/4.45 % (2594540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.45 % (2594540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.45 % (2594540)CaDiCaL version: 2.1.3
% 26.25/4.45 % (2594540)Termination reason: Instruction limit
% 26.25/4.45 % (2594540)Termination phase: Saturation
% 26.25/4.45 % (2594540)Time elapsed: 0.372 s
% 26.25/4.45 % (2594540)Peak memory usage: 19 MB
% 26.25/4.45 % (2594540)Instructions burned: 693 (million)
% 26.25/4.45 % (2594539)Instruction limit reached!
% 26.25/4.45 % (2594539)------------------------------
% 26.25/4.45 % (2594539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.45 % (2594539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.45 % (2594539)CaDiCaL version: 2.1.3
% 26.25/4.45 % (2594539)Termination reason: Instruction limit
% 26.25/4.45 % (2594539)Termination phase: Finite model building constraint generation
% 26.25/4.45 % (2594539)Time elapsed: 0.406 s
% 26.25/4.45 % (2594539)Peak memory usage: 111 MB
% 26.25/4.45 % (2594539)Instructions burned: 889 (million)
% 26.25/4.45 % (2594545)fmb+10_1_sil=64000:random_seed=1136032486:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 26.25/4.45 % TRYING [1]
% 26.25/4.45 % TRYING [2]
% 26.25/4.45 % TRYING [3]
% 26.25/4.45 % TRYING [4]
% 26.25/4.45 % (2594547)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1697557882:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 26.25/4.45 % TRYING [20]
% 26.25/4.45 % TRYING [5]
% 26.25/4.45 % TRYING [6]
% 26.25/4.45 % (2594537)Instruction limit reached!
% 26.25/4.45 % (2594537)------------------------------
% 26.25/4.45 % (2594537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.45 % (2594537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.45 % (2594537)CaDiCaL version: 2.1.3
% 26.25/4.45 % (2594537)Termination reason: Instruction limit
% 26.25/4.45 % (2594537)Termination phase: Saturation
% 26.25/4.45 % (2594537)Time elapsed: 0.738 s
% 26.25/4.45 % (2594537)Peak memory usage: 19 MB
% 26.25/4.45 % (2594537)Instructions burned: 1180 (million)
% 26.25/4.45 % (2594543)Instruction limit reached!
% 26.25/4.45 % (2594543)------------------------------
% 26.25/4.45 % (2594543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.45 % (2594543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.45 % (2594543)CaDiCaL version: 2.1.3
% 26.25/4.45 % (2594543)Termination reason: Instruction limit
% 26.25/4.45 % (2594543)Termination phase: Saturation
% 26.25/4.45 % (2594543)Time elapsed: 0.532 s
% 26.25/4.45 % (2594543)Peak memory usage: 20 MB
% 26.25/4.45 % (2594543)Instructions burned: 880 (million)
% 26.25/4.45 % (2594549)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1444945437:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 26.25/4.45 % TRYING [8]
% 26.25/4.45 % (2594550)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1055080632:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 26.25/4.45 % TRYING [9]
% 26.25/4.45 % TRYING [7]
% 26.25/4.45 % (2594549)Instruction limit reached!
% 26.25/4.45 % (2594549)------------------------------
% 26.25/4.45 % (2594549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.45 % (2594549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.45 % (2594549)CaDiCaL version: 2.1.3
% 26.25/4.45 % (2594549)Termination reason: Instruction limit
% 26.25/4.45 % (2594549)Termination phase: Finite model building SAT solving
% 26.25/4.45 % (2594549)Time elapsed: 0.423 s
% 26.25/4.45 % (2594549)Peak memory usage: 88 MB
% 26.25/4.45 % (2594549)Instructions burned: 920 (million)
% 26.25/4.45 % (2594553)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2750829388:i=1472:ins=7:fdi=8:gsp=on_2983 on theBenchmark for (2983ds/1472Mi)
% 26.25/4.45 % TRYING [8]
% 26.25/4.45 % (2594553)Instruction limit reached!
% 26.25/4.45 % (2594553)------------------------------
% 26.25/4.45 % (2594553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.45 % (2594553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.45 % (2594553)CaDiCaL version: 2.1.3
% 26.25/4.45 % (2594553)Termination reason: Instruction limit
% 26.25/4.45 % (2594553)Termination phase: Saturation
% 26.25/4.45 % (2594553)Time elapsed: 0.794 s
% 26.25/4.45 % (2594553)Peak memory usage: 30 MB
% 26.25/4.45 % (2594553)Instructions burned: 1472 (million)
% 26.25/4.45 % (2594555)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4202343087:i=6324_2975 on theBenchmark for (2975ds/6324Mi)
% 26.25/4.45 % (2594555)Cannot represent all propositional literals internally
% 26.25/4.45 % (2594555)Refutation not found, incomplete strategy
% 26.25/4.45 % (2594555)------------------------------
% 26.25/4.45 % (2594555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.45 % (2594555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.45 % (2594555)CaDiCaL version: 2.1.3
% 26.25/4.45 % (2594555)Termination reason: Refutation not found, incomplete strategy
% 26.25/4.45 % (2594555)Time elapsed: 0.002 s
% 26.25/4.45 % (2594555)Peak memory usage: 10 MB
% 26.25/4.45 % (2594555)Instructions burned: 3 (million)
% 26.25/4.45 % (2594555)------------------------------
% 26.25/4.45 % (2594555)------------------------------
% 26.25/4.45 % (2594557)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3729092811:fmbsr=2.30978:i=2174_2975 on theBenchmark for (2975ds/2174Mi)
% 26.25/4.45 % TRYING [16]
% 26.25/4.45 % (2594557)Instruction limit reached!
% 26.25/4.45 % (2594557)------------------------------
% 26.25/4.45 % (2594557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.45 % (2594557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.45 % (2594557)CaDiCaL version: 2.1.3
% 26.25/4.45 % (2594557)Termination reason: Instruction limit
% 26.25/4.45 % (2594557)Termination phase: Finite model building constraint generation
% 26.25/4.45 % (2594557)Time elapsed: 0.724 s
% 26.25/4.45 % (2594557)Peak memory usage: 132 MB
% 26.25/4.45 % (2594557)Instructions burned: 2174 (million)
% 26.25/4.45 % (2594559)ott-2_1_sil=16000:newcnf=on:random_seed=601401484:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2967 on theBenchmark for (2967ds/869Mi)
% 26.25/4.45 % TRYING [9]
% 26.25/4.45 % (2594559)Instruction limit reached!
% 26.25/4.45 % (2594559)------------------------------
% 26.25/4.45 % (2594559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.45 % (2594559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.45 % (2594559)CaDiCaL version: 2.1.3
% 26.25/4.45 % (2594559)Termination reason: Instruction limit
% 26.25/4.45 % (2594559)Termination phase: Saturation
% 26.25/4.45 % (2594559)Time elapsed: 0.521 s
% 26.25/4.45 % (2594559)Peak memory usage: 15 MB
% 26.25/4.45 % (2594559)Instructions burned: 869 (million)
% 26.25/4.45 % (2594561)ott+10_1_sil=32000:tgt=ground:random_seed=3896791396:i=5114:av=off_2962 on theBenchmark for (2962ds/5114Mi)
% 26.25/4.45 % (2594550)Instruction limit reached!
% 26.25/4.45 % (2594550)------------------------------
% 26.25/4.45 % (2594550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.45 % (2594550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.45 % (2594550)CaDiCaL version: 2.1.3
% 26.25/4.45 % (2594550)Termination reason: Instruction limit
% 26.25/4.45 % (2594550)Termination phase: Saturation
% 26.25/4.45 % (2594550)Time elapsed: 2.846 s
% 26.25/4.45 % (2594550)Peak memory usage: 30 MB
% 26.25/4.45 % (2594550)Instructions burned: 5132 (million)
% 26.25/4.45 % (2594563)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1092041141:i=54282_2959 on theBenchmark for (2959ds/54282Mi)
% 26.25/4.45 % TRYING [1]
% 26.25/4.45 % TRYING [2]
% 26.25/4.45 % TRYING [3]
% 26.25/4.45 % TRYING [4]
% 26.25/4.45 % TRYING [5]
% 26.25/4.45 % (2594561) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2594506-2594561"...
% 26.25/4.45 % (2594561)...printing done.
% 26.25/4.45 % TRYING [6]
% 26.25/4.45 % (2594561)Refutation found. Thanks to Tanya!
% 26.25/4.45 % SZS status Unsatisfiable for theBenchmark
% 26.25/4.45 % SZS output start Proof for theBenchmark
% See solution above
% 26.25/4.46 % (2594561)------------------------------
% 26.25/4.46 % (2594561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.46 % (2594561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.46 % (2594561)CaDiCaL version: 2.1.3
% 26.25/4.46 % (2594561)Termination reason: Refutation
% 26.25/4.46 % (2594561)Time elapsed: 0.366 s
% 26.25/4.46 % (2594561)Peak memory usage: 15 MB
% 26.25/4.46 % (2594561)Instructions burned: 596 (million)
% 26.25/4.46 % (2594506)Success in time 4.222 s
% 26.25/4.46 % Vampire exiting
%------------------------------------------------------------------------------