%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA022-2 : 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 : n010.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 09:30:54 AM UTC 2026
% Result : Unsatisfiable 7.48s 1.94s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 33
% Syntax : Number of formulae : 142 ( 68 unt; 7 def)
% Number of atoms : 245 ( 82 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 210 ( 107 ~; 103 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 195 ( 195 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : c_lessequals(v_k(X0),v_f(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_k(v_x),v_g(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,
! [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(f5,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(f6,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,[],[f5]) ).
fof(f7,negated_conjecture,
! [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/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonpos_0) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
| ~ c_lessequals(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
| c_lessequals(X1,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oadd__le__cancel__right_0) ).
fof(f9,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(f10,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(f11,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/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__3_0) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| ~ c_lessequals(X1,X2,X0)
| c_lessequals(c_minus(X1,X2,X0),c_0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__le__0__iff__le_1) ).
fof(f14,axiom,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_minus(X1,c_uminus(X2,X0),X0) = c_plus(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__minus__eq__add_0) ).
fof(f15,plain,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_plus(X1,X2,X0) = c_minus(X1,c_uminus(X2,X0),X0) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,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(f17,plain,
! [X0,X1] :
( c_0 = c_minus(X1,X1,X0)
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,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(f19,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(f20,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(f21,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(f22,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(f23,axiom,
! [X0] :
( ~ class_LOrder_Ojoin__semilorder(X0)
| class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
fof(f24,axiom,
! [X0] :
( class_OrderedGroup_Opordered__ab__group__add(X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
fof(f25,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(f26,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(f27,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(f28,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(f29,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(f30,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(f31,definition,
sF0 = v_k(v_x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f32,plain,
v_k(v_x) = sF0,
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
sF1 = v_g(v_x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f34,plain,
v_g(v_x) = sF1,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF2 = c_minus(sF0,sF1,t_b),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f36,plain,
c_minus(sF0,sF1,t_b) = sF2,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF3 = c_Orderings_Omax(sF2,c_0,t_b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f38,plain,
c_Orderings_Omax(sF2,c_0,t_b) = sF3,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF4 = v_f(v_x),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f40,plain,
v_f(v_x) = sF4,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF5 = c_minus(sF4,sF1,t_b),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f42,plain,
c_minus(sF4,sF1,t_b) = sF5,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF6 = c_HOL_Oabs(sF5,t_b),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f44,plain,
c_HOL_Oabs(sF5,t_b) = sF6,
inference(reorient_equations,[],[f43]) ).
fof(f45,plain,
~ c_lessequals(sF3,sF6,t_b),
inference(definition_folding,[],[f2,f44,f42,f34,f40,f38,f36,f34,f32]) ).
fof(f46,plain,
! [X0] :
( class_Orderings_Oorder(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(resolution,[],[f28,f23]) ).
fof(f48,plain,
c_lessequals(v_k(v_x),sF4,t_b),
inference(superposition,[],[f1,f40]) ).
fof(f49,plain,
c_lessequals(sF0,sF4,t_b),
inference(forward_demodulation,[],[f48,f32]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
| c_lessequals(c_minus(X0,X1,X2),c_0,X2)
| ~ c_lessequals(X0,X1,X2) ),
inference(resolution,[],[f13,f24]) ).
fof(f52,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(c_0,c_HOL_Oabs(X0,X1),X1) ),
inference(resolution,[],[f4,f30]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ c_lessequals(X0,X1,X2)
| c_lessequals(c_minus(X0,X1,X2),c_0,X2) ),
inference(resolution,[],[f51,f30]) ).
fof(f54,plain,
! [X0,X1] :
( c_lessequals(c_minus(X0,X1,t_b),c_0,t_b)
| ~ c_lessequals(X0,X1,t_b) ),
inference(resolution,[],[f53,f3]) ).
fof(f55,plain,
! [X0] : c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b),
inference(resolution,[],[f52,f3]) ).
fof(f56,plain,
c_lessequals(c_0,sF6,t_b),
inference(superposition,[],[f55,f44]) ).
fof(f57,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,[],[f21,f46]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_lessequals(X1,X0,X2)
| c_less(X0,X1,X2) ),
inference(resolution,[],[f19,f27]) ).
fof(f59,plain,
! [X2,X0,X1] :
( c_lessequals(X0,X2,t_b)
| ~ c_lessequals(X0,X1,t_b)
| ~ c_lessequals(X1,X2,t_b) ),
inference(resolution,[],[f57,f3]) ).
fof(f60,plain,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
| c_lessequals(X0,X3,X2)
| ~ c_lessequals(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2) ),
inference(resolution,[],[f8,f25]) ).
fof(f62,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ c_lessequals(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
| c_lessequals(X0,X1,X2) ),
inference(resolution,[],[f60,f30]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_plus(X0,X1,t_b),c_plus(X2,X1,t_b),t_b)
| c_lessequals(X0,X2,t_b) ),
inference(resolution,[],[f62,f3]) ).
fof(f66,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,[],[f10,f29]) ).
fof(f67,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_plus(c_minus(X0,X1,X2),X3,X2) = c_minus(c_plus(X0,X3,X2),X1,X2) ),
inference(resolution,[],[f11,f29]) ).
fof(f68,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,[],[f66,f3]) ).
fof(f69,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,[],[f67,f3]) ).
fof(f70,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,[],[f6,f30]) ).
fof(f71,plain,
! [X0] : c_HOL_Oabs(X0,t_b) = c_HOL_Oabs(c_uminus(X0,t_b),t_b),
inference(resolution,[],[f70,f3]) ).
fof(f73,plain,
! [X0,X1] :
( c_less(X1,X0,t_b)
| c_lessequals(X0,X1,t_b) ),
inference(resolution,[],[f58,f3]) ).
fof(f75,plain,
( ~ c_lessequals(sF0,sF1,t_b)
| c_lessequals(sF2,c_0,t_b) ),
inference(superposition,[],[f54,f36]) ).
fof(f81,plain,
! [X0] :
( ~ c_lessequals(sF3,X0,t_b)
| ~ c_lessequals(X0,sF6,t_b) ),
inference(resolution,[],[f59,f45]) ).
fof(f88,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_plus(X0,X1,X2) = c_minus(X0,c_uminus(X1,X2),X2) ),
inference(resolution,[],[f15,f29]) ).
fof(f89,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,[],[f18,f29]) ).
fof(f90,plain,
! [X0,X1] : c_plus(X0,X1,t_b) = c_minus(X0,c_uminus(X1,t_b),t_b),
inference(resolution,[],[f88,f3]) ).
fof(f94,plain,
! [X0,X1] :
( ~ class_Orderings_Oorder(t_b)
| c_lessequals(X0,X1,t_b)
| c_lessequals(X1,X0,t_b) ),
inference(resolution,[],[f73,f22]) ).
fof(f95,plain,
! [X0,X1] : c_uminus(c_minus(X0,X1,t_b),t_b) = c_minus(X1,X0,t_b),
inference(resolution,[],[f89,f3]) ).
fof(f97,plain,
c_uminus(sF5,t_b) = c_minus(sF1,sF4,t_b),
inference(superposition,[],[f95,f42]) ).
fof(f99,plain,
! [X0,X1] : c_minus(c_uminus(X1,t_b),X0,t_b) = c_uminus(c_plus(X0,X1,t_b),t_b),
inference(superposition,[],[f95,f90]) ).
fof(f117,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,[],[f20,f27]) ).
fof(f118,plain,
c_minus(sF4,sF1,t_b) = c_uminus(c_uminus(sF5,t_b),t_b),
inference(superposition,[],[f95,f97]) ).
fof(f119,plain,
( c_lessequals(c_uminus(sF5,t_b),c_0,t_b)
| ~ c_lessequals(sF1,sF4,t_b) ),
inference(superposition,[],[f54,f97]) ).
fof(f120,plain,
sF5 = c_uminus(c_uminus(sF5,t_b),t_b),
inference(forward_demodulation,[],[f118,f42]) ).
fof(f138,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,[],[f94,f46]) ).
fof(f139,plain,
! [X0,X1] :
( c_lessequals(X0,X1,t_b)
| c_lessequals(X1,X0,t_b) ),
inference(forward_subsumption_resolution,[],[f138,f3]) ).
fof(f140,plain,
( ~ c_lessequals(sF1,sF4,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_uminus(c_uminus(sF5,t_b),t_b) = c_HOL_Oabs(c_uminus(sF5,t_b),t_b) ),
inference(resolution,[],[f119,f7]) ).
fof(f141,plain,
( c_HOL_Oabs(sF5,t_b) = c_uminus(c_uminus(sF5,t_b),t_b)
| ~ c_lessequals(sF1,sF4,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(forward_demodulation,[],[f140,f71]) ).
fof(f142,plain,
( sF5 = c_HOL_Oabs(sF5,t_b)
| ~ c_lessequals(sF1,sF4,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(forward_demodulation,[],[f141,f120]) ).
fof(f143,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ c_lessequals(sF1,sF4,t_b)
| sF5 = sF6 ),
inference(forward_demodulation,[],[f142,f44]) ).
fof(f144,plain,
( ~ c_lessequals(sF1,sF4,t_b)
| sF5 = sF6
| ~ class_Ring__and__Field_Oordered__idom(t_b) ),
inference(resolution,[],[f143,f30]) ).
fof(f145,plain,
( ~ c_lessequals(sF1,sF4,t_b)
| sF5 = sF6 ),
inference(forward_subsumption_resolution,[],[f144,f3]) ).
fof(f146,plain,
! [X0] :
( ~ c_lessequals(sF1,X0,t_b)
| sF5 = sF6
| ~ c_lessequals(X0,sF4,t_b) ),
inference(resolution,[],[f145,f59]) ).
fof(f183,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,[],[f117,f3]) ).
fof(f192,plain,
! [X0] :
( ~ class_OrderedGroup_Ocomm__monoid__add(t_b)
| c_uminus(X0,t_b) = c_minus(c_uminus(X0,t_b),c_0,t_b) ),
inference(superposition,[],[f99,f9]) ).
fof(f205,plain,
! [X0] :
( c_uminus(X0,t_b) = c_minus(c_uminus(X0,t_b),c_0,t_b)
| ~ class_Ring__and__Field_Oordered__idom(t_b) ),
inference(resolution,[],[f192,f26]) ).
fof(f206,plain,
! [X0] : c_uminus(X0,t_b) = c_minus(c_uminus(X0,t_b),c_0,t_b),
inference(forward_subsumption_resolution,[],[f205,f3]) ).
fof(f212,plain,
! [X0] : c_minus(c_0,c_uminus(X0,t_b),t_b) = c_uminus(c_uminus(X0,t_b),t_b),
inference(superposition,[],[f95,f206]) ).
fof(f214,plain,
! [X0] : c_plus(c_0,X0,t_b) = c_uminus(c_uminus(X0,t_b),t_b),
inference(forward_demodulation,[],[f212,f90]) ).
fof(f215,plain,
! [X0,X1] : c_uminus(c_minus(X0,X1,t_b),t_b) = c_plus(c_0,c_minus(X1,X0,t_b),t_b),
inference(superposition,[],[f214,f95]) ).
fof(f219,plain,
! [X0] : c_uminus(c_plus(c_0,X0,t_b),t_b) = c_plus(c_0,c_uminus(X0,t_b),t_b),
inference(superposition,[],[f214,f214]) ).
fof(f225,plain,
! [X0] : c_plus(c_0,X0,t_b) = c_minus(c_plus(c_0,X0,t_b),c_0,t_b),
inference(superposition,[],[f206,f214]) ).
fof(f231,plain,
! [X0] : c_minus(c_uminus(X0,t_b),c_0,t_b) = c_plus(c_0,c_uminus(X0,t_b),t_b),
inference(forward_demodulation,[],[f219,f99]) ).
fof(f235,plain,
! [X0,X1] : c_uminus(c_minus(X0,X1,t_b),t_b) = c_minus(c_plus(c_0,X1,t_b),X0,t_b),
inference(forward_demodulation,[],[f215,f68]) ).
fof(f237,plain,
! [X0] : c_uminus(X0,t_b) = c_plus(c_0,c_uminus(X0,t_b),t_b),
inference(forward_demodulation,[],[f231,f206]) ).
fof(f239,plain,
! [X0,X1] : c_minus(X1,X0,t_b) = c_minus(c_plus(c_0,X1,t_b),X0,t_b),
inference(forward_demodulation,[],[f235,f95]) ).
fof(f251,plain,
( c_lessequals(sF2,c_0,t_b)
| c_lessequals(sF1,sF0,t_b) ),
inference(resolution,[],[f139,f75]) ).
fof(f259,plain,
! [X0] : c_lessequals(X0,X0,t_b),
inference(factoring,[],[f139]) ).
fof(f296,plain,
! [X2,X0,X1] : c_minus(c_plus(X2,X0,t_b),c_uminus(X1,t_b),t_b) = c_plus(X2,c_plus(X0,X1,t_b),t_b),
inference(superposition,[],[f68,f90]) ).
fof(f316,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,[],[f296,f90]) ).
fof(f449,plain,
! [X0] :
( ~ class_OrderedGroup_Ocomm__monoid__add(t_b)
| c_minus(X0,c_0,t_b) = X0 ),
inference(superposition,[],[f225,f9]) ).
fof(f464,plain,
! [X0] :
( c_minus(X0,c_0,t_b) = X0
| ~ class_Ring__and__Field_Oordered__idom(t_b) ),
inference(resolution,[],[f449,f26]) ).
fof(f465,plain,
! [X0] : c_minus(X0,c_0,t_b) = X0,
inference(forward_subsumption_resolution,[],[f464,f3]) ).
fof(f468,plain,
! [X0] : c_uminus(X0,t_b) = c_minus(c_0,X0,t_b),
inference(superposition,[],[f95,f465]) ).
fof(f477,plain,
! [X0] : c_minus(X0,c_0,t_b) = c_uminus(c_uminus(X0,t_b),t_b),
inference(superposition,[],[f95,f468]) ).
fof(f482,plain,
! [X0] : c_uminus(c_uminus(X0,t_b),t_b) = X0,
inference(forward_demodulation,[],[f477,f465]) ).
fof(f498,plain,
! [X0] : c_plus(c_0,X0,t_b) = X0,
inference(superposition,[],[f237,f482]) ).
fof(f526,plain,
! [X0,X1] :
( c_plus(c_0,X1,t_b) = c_minus(c_plus(X0,X1,t_b),X0,t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b) ),
inference(superposition,[],[f69,f17]) ).
fof(f527,plain,
! [X0,X1] : c_minus(c_plus(c_0,X1,t_b),X0,t_b) = c_plus(c_uminus(X0,t_b),X1,t_b),
inference(superposition,[],[f69,f468]) ).
fof(f540,plain,
! [X0] : c_plus(sF2,X0,t_b) = c_minus(c_plus(sF0,X0,t_b),sF1,t_b),
inference(superposition,[],[f69,f36]) ).
fof(f541,plain,
! [X0] : c_plus(sF5,X0,t_b) = c_minus(c_plus(sF4,X0,t_b),sF1,t_b),
inference(superposition,[],[f69,f42]) ).
fof(f589,plain,
! [X0,X1] : c_minus(X1,X0,t_b) = c_plus(c_uminus(X0,t_b),X1,t_b),
inference(forward_demodulation,[],[f527,f239]) ).
fof(f590,plain,
! [X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(t_b)
| c_minus(c_plus(X0,X1,t_b),X0,t_b) = X1 ),
inference(forward_demodulation,[],[f526,f498]) ).
fof(f663,plain,
! [X0,X1] :
( c_minus(c_plus(X0,X1,t_b),X0,t_b) = X1
| ~ class_Ring__and__Field_Oordered__idom(t_b) ),
inference(resolution,[],[f590,f29]) ).
fof(f664,plain,
! [X0,X1] : c_minus(c_plus(X0,X1,t_b),X0,t_b) = X1,
inference(forward_subsumption_resolution,[],[f663,f3]) ).
fof(f689,plain,
! [X0,X1] :
( c_lessequals(X0,c_0,t_b)
| ~ c_lessequals(c_plus(X1,X0,t_b),X1,t_b) ),
inference(superposition,[],[f54,f664]) ).
fof(f692,plain,
! [X0,X1] : c_plus(c_plus(c_uminus(X1,t_b),X0,t_b),X1,t_b) = X0,
inference(superposition,[],[f90,f664]) ).
fof(f697,plain,
! [X0,X1] : c_plus(c_uminus(X1,t_b),c_plus(X0,X1,t_b),t_b) = X0,
inference(forward_demodulation,[],[f692,f316]) ).
fof(f708,plain,
! [X0,X1] : c_minus(c_plus(X0,X1,t_b),X1,t_b) = X0,
inference(forward_demodulation,[],[f697,f589]) ).
fof(f821,plain,
! [X0] :
( c_lessequals(sF3,X0,t_b)
| ~ c_lessequals(sF2,X0,t_b)
| ~ c_lessequals(c_0,X0,t_b) ),
inference(superposition,[],[f183,f38]) ).
fof(f992,plain,
! [X0] :
( ~ c_lessequals(c_plus(X0,sF3,t_b),X0,t_b)
| ~ c_lessequals(c_0,sF6,t_b) ),
inference(resolution,[],[f689,f81]) ).
fof(f993,plain,
! [X0] : ~ c_lessequals(c_plus(X0,sF3,t_b),X0,t_b),
inference(forward_subsumption_resolution,[],[f992,f56]) ).
fof(f1003,plain,
~ c_lessequals(sF3,c_0,t_b),
inference(superposition,[],[f993,f498]) ).
fof(f1040,plain,
sF0 = c_plus(sF2,sF1,t_b),
inference(superposition,[],[f708,f540]) ).
fof(f1227,plain,
sF4 = c_plus(sF5,sF1,t_b),
inference(superposition,[],[f708,f541]) ).
fof(f1485,plain,
( ~ c_lessequals(sF2,c_0,t_b)
| ~ c_lessequals(c_0,c_0,t_b) ),
inference(resolution,[],[f821,f1003]) ).
fof(f1487,plain,
( ~ c_lessequals(sF2,sF6,t_b)
| ~ c_lessequals(c_0,sF6,t_b) ),
inference(resolution,[],[f821,f45]) ).
fof(f1493,plain,
~ c_lessequals(sF2,sF6,t_b),
inference(forward_subsumption_resolution,[],[f1487,f56]) ).
fof(f1494,plain,
~ c_lessequals(sF2,c_0,t_b),
inference(forward_subsumption_resolution,[],[f1485,f259]) ).
fof(f1500,plain,
c_lessequals(sF1,sF0,t_b),
inference(resolution,[],[f1494,f251]) ).
fof(f1507,plain,
( sF5 = sF6
| ~ c_lessequals(sF0,sF4,t_b) ),
inference(resolution,[],[f1500,f146]) ).
fof(f1508,plain,
sF5 = sF6,
inference(forward_subsumption_resolution,[],[f1507,f49]) ).
fof(f1518,plain,
~ c_lessequals(sF2,sF5,t_b),
inference(superposition,[],[f1493,f1508]) ).
fof(f1871,plain,
! [X0] :
( ~ c_lessequals(sF0,c_plus(X0,sF1,t_b),t_b)
| c_lessequals(sF2,X0,t_b) ),
inference(superposition,[],[f64,f1040]) ).
fof(f4821,plain,
( ~ c_lessequals(sF0,sF4,t_b)
| c_lessequals(sF2,sF5,t_b) ),
inference(superposition,[],[f1871,f1227]) ).
fof(f4837,plain,
c_lessequals(sF2,sF5,t_b),
inference(forward_subsumption_resolution,[],[f4821,f49]) ).
fof(f4839,plain,
$false,
inference(forward_subsumption_resolution,[],[f4837,f1518]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA022-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n010.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 20:30:02 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 7.48/1.94 % (2274144)Input is clausal, will run a generic CNF schedule.
% 7.48/1.94 % (2274152)lrs+10_1_sil=8000:sp=occurrence:random_seed=1271682428:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.48/1.94 % (2274154)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1894449986:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.48/1.94 % (2274153)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=291894399:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.48/1.94 % (2274155)dis-21_1_sil=8000:lcm=predicate:random_seed=1756823786: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)
% 7.48/1.94 % (2274149)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=575479035:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.48/1.94 % (2274150)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3839008825:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.48/1.94 % (2274151)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3711584216:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.48/1.94 % (2274152)Instruction limit reached!
% 7.48/1.94 % (2274152)------------------------------
% 7.48/1.94 % (2274152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/1.94 % (2274152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.94 % (2274152)CaDiCaL version: 2.1.3
% 7.48/1.94 % (2274152)Termination reason: Instruction limit
% 7.48/1.94 % (2274152)Termination phase: Saturation
% 7.48/1.94 % (2274152)Time elapsed: 0.037 s
% 7.48/1.94 % (2274152)Peak memory usage: 89 MB
% 7.48/1.94 % (2274152)Instructions burned: 109 (million)
% 7.48/1.94 % (2274153)Instruction limit reached!
% 7.48/1.94 % (2274153)------------------------------
% 7.48/1.94 % (2274153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/1.94 % (2274153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.94 % (2274153)CaDiCaL version: 2.1.3
% 7.48/1.94 % (2274153)Termination reason: Instruction limit
% 7.48/1.94 % (2274153)Termination phase: Saturation
% 7.48/1.94 % (2274153)Time elapsed: 0.063 s
% 7.48/1.94 % (2274153)Peak memory usage: 88 MB
% 7.48/1.94 % (2274153)Instructions burned: 114 (million)
% 7.48/1.94 % (2274155)Instruction limit reached!
% 7.48/1.94 % (2274155)------------------------------
% 7.48/1.94 % (2274155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/1.94 % (2274155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.94 % (2274155)CaDiCaL version: 2.1.3
% 7.48/1.94 % (2274155)Termination reason: Instruction limit
% 7.48/1.94 % (2274155)Termination phase: Saturation
% 7.48/1.94 % (2274155)Time elapsed: 0.066 s
% 7.48/1.94 % (2274155)Peak memory usage: 88 MB
% 7.48/1.94 % (2274155)Instructions burned: 118 (million)
% 7.48/1.94 % (2274154)Instruction limit reached!
% 7.48/1.94 % (2274154)------------------------------
% 7.48/1.94 % (2274154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/1.94 % (2274154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.94 % (2274154)CaDiCaL version: 2.1.3
% 7.48/1.94 % (2274154)Termination reason: Instruction limit
% 7.48/1.94 % (2274154)Termination phase: Saturation
% 7.48/1.94 % (2274154)Time elapsed: 0.100 s
% 7.48/1.94 % (2274154)Peak memory usage: 90 MB
% 7.48/1.94 % (2274154)Instructions burned: 181 (million)
% 7.48/1.94 % (2274163)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=924436382:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.48/1.94 % (2274163)Refutation not found, incomplete strategy
% 7.48/1.94 % (2274163)------------------------------
% 7.48/1.94 % (2274163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/1.94 % (2274163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.94 % (2274163)CaDiCaL version: 2.1.3
% 7.48/1.94 % (2274163)Termination reason: Refutation not found, incomplete strategy
% 7.48/1.94 % (2274163)Time elapsed: 0.002 s
% 7.48/1.94 % (2274163)Peak memory usage: 88 MB
% 7.48/1.94 % (2274163)Instructions burned: 2 (million)
% 7.48/1.94 % (2274164)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=995417950: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)
% 7.48/1.94 % (2274165)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2968092301:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.48/1.94 % (2274165)Refutation not found, incomplete strategy
% 7.48/1.94 % (2274165)------------------------------
% 7.48/1.94 % (2274165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/1.94 % (2274165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.94 % (2274165)CaDiCaL version: 2.1.3
% 7.48/1.94 % (2274165)Termination reason: Refutation not found, incomplete strategy
% 7.48/1.94 % (2274165)Time elapsed: 0.003 s
% 7.48/1.94 % (2274165)Peak memory usage: 88 MB
% 7.48/1.94 % (2274165)Instructions burned: 2 (million)
% 7.48/1.94 % (2274166)lrs+10_64_to=lpo:sil=8000:random_seed=1096369936:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 7.48/1.94 % (2274163)------------------------------
% 7.48/1.94 % (2274163)------------------------------
% 7.48/1.94 % (2274166)Instruction limit reached!
% 7.48/1.94 % (2274166)------------------------------
% 7.48/1.94 % (2274166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/1.94 % (2274166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.94 % (2274166)CaDiCaL version: 2.1.3
% 7.48/1.94 % (2274166)Termination reason: Instruction limit
% 7.48/1.94 % (2274166)Termination phase: Saturation
% 7.48/1.94 % (2274166)Time elapsed: 0.078 s
% 7.48/1.94 % (2274166)Peak memory usage: 88 MB
% 7.48/1.94 % (2274166)Instructions burned: 126 (million)
% 7.48/1.94 % (2274164)Instruction limit reached!
% 7.48/1.94 % (2274164)------------------------------
% 7.48/1.94 % (2274164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/1.94 % (2274164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.94 % (2274164)CaDiCaL version: 2.1.3
% 7.48/1.94 % (2274164)Termination reason: Instruction limit
% 7.48/1.94 % (2274164)Termination phase: Saturation
% 7.48/1.94 % (2274164)Time elapsed: 0.123 s
% 7.48/1.94 % (2274164)Peak memory usage: 90 MB
% 7.48/1.94 % (2274164)Instructions burned: 189 (million)
% 7.48/1.94 % (2274171)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1190569425:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.48/1.94 % (2274165)------------------------------
% 7.48/1.94 % (2274165)------------------------------
% 7.48/1.94 % (2274171)Instruction limit reached!
% 7.48/1.94 % (2274171)------------------------------
% 7.48/1.94 % (2274171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/1.94 % (2274171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.94 % (2274171)CaDiCaL version: 2.1.3
% 7.48/1.94 % (2274171)Termination reason: Instruction limit
% 7.48/1.94 % (2274171)Termination phase: Saturation
% 7.48/1.94 % (2274171)Time elapsed: 0.060 s
% 7.48/1.94 % (2274171)Peak memory usage: 90 MB
% 7.48/1.94 % (2274171)Instructions burned: 198 (million)
% 7.48/1.94 % (2274172)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2459876732:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 7.48/1.94 % (2274173)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2748846831:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 7.48/1.94 % (2274176)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1019853796:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 7.48/1.94 % (2274172)Instruction limit reached!
% 7.48/1.94 % (2274172)------------------------------
% 7.48/1.94 % (2274172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/1.94 % (2274172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.94 % (2274172)CaDiCaL version: 2.1.3
% 7.48/1.94 % (2274172)Termination reason: Instruction limit
% 7.48/1.94 % (2274172)Termination phase: Saturation
% 7.48/1.94 % (2274172)Time elapsed: 0.103 s
% 7.48/1.94 % (2274172)Peak memory usage: 89 MB
% 7.48/1.94 % (2274172)Instructions burned: 157 (million)
% 7.48/1.94 % (2274175)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=914975523:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 7.48/1.94 % (2274176)Instruction limit reached!
% 7.48/1.94 % (2274176)------------------------------
% 7.48/1.94 % (2274176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/1.94 % (2274176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.94 % (2274176)CaDiCaL version: 2.1.3
% 7.48/1.94 % (2274176)Termination reason: Instruction limit
% 7.48/1.94 % (2274176)Termination phase: Saturation
% 7.48/1.94 % (2274176)Time elapsed: 0.041 s
% 7.48/1.94 % (2274176)Peak memory usage: 89 MB
% 7.48/1.94 % (2274176)Instructions burned: 109 (million)
% 7.48/1.94 % (2274175)Instruction limit reached!
% 7.48/1.94 % (2274175)------------------------------
% 7.48/1.94 % (2274175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/1.94 % (2274175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.94 % (2274175)CaDiCaL version: 2.1.3
% 7.48/1.94 % (2274175)Termination reason: Instruction limit
% 7.48/1.94 % (2274175)Termination phase: Saturation
% 7.48/1.94 % (2274175)Time elapsed: 0.065 s
% 7.48/1.94 % (2274175)Peak memory usage: 89 MB
% 7.48/1.94 % (2274175)Instructions burned: 107 (million)
% 7.48/1.94 % (2274182)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3775165913:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 7.48/1.94 % (2274180)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=292745603:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 7.48/1.94 % (2274183)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3990068457:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 7.48/1.94 % (2274180)First to succeed.
% 7.48/1.94 % (2274180)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2274144"
% 7.48/1.94 % (2274183)Instruction limit reached!
% 7.48/1.94 % (2274183)------------------------------
% 7.48/1.94 % (2274183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/1.94 % (2274183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.94 % (2274183)CaDiCaL version: 2.1.3
% 7.48/1.94 % (2274183)Termination reason: Instruction limit
% 7.48/1.94 % (2274183)Termination phase: Saturation
% 7.48/1.94 % (2274183)Time elapsed: 0.082 s
% 7.48/1.94 % (2274183)Peak memory usage: 90 MB
% 7.48/1.94 % (2274183)Instructions burned: 135 (million)
% 7.48/1.94 % (2274187)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=804857955:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 7.48/1.94 % (2274180)Refutation found. Thanks to Tanya!
% 7.48/1.94 % SZS status Unsatisfiable for theBenchmark
% 7.48/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/2.13 % (2274180)------------------------------
% 0.22/2.13 % (2274180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/2.13 % (2274180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/2.13 % (2274180)CaDiCaL version: 2.1.3
% 0.22/2.13 % (2274180)Termination reason: Refutation
% 0.22/2.13 % (2274180)Time elapsed: 0.109 s
% 0.22/2.13 % (2274180)Peak memory usage: 90 MB
% 0.22/2.13 % (2274180)Instructions burned: 168 (million)
% 0.22/2.13 % (2274180)------------------------------
% 0.22/2.13 % (2274180)------------------------------
% 0.22/2.13 % (2274144)Success in time 1.276 s
% 0.22/2.13 % Vampire exiting
%------------------------------------------------------------------------------