%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% 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 09:31:19 AM UTC 2026
% Result : Unsatisfiable 45.82s 6.77s
% Output : Refutation 45.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 32
% Syntax : Number of formulae : 153 ( 77 unt; 7 def)
% Number of atoms : 291 ( 68 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 258 ( 120 ~; 138 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 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 : 189 ( 189 !; 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,axiom,
! [X0,X1] :
( c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(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,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/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonpos_0) ).
fof(f9,axiom,
! [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(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(f12,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/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__8_1) ).
fof(f13,axiom,
! [X2,X0,X1] :
( c_lessequals(c_minus(X1,X2,X0),c_0,X0)
| ~ c_lessequals(X1,X2,X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(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] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_0 = c_minus(X1,X1,X0) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,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/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__diff__eq_0) ).
fof(f19,axiom,
! [X2,X0,X1] :
( c_less(X1,X2,X0)
| ~ class_Orderings_Olinorder(X0)
| c_lessequals(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).
fof(f20,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/sandbox/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).
fof(f21,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/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_Olordered__ab__group__abs(X0)
| class_OrderedGroup_Opordered__ab__group__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
fof(f26,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Ocomm__monoid__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).
fof(f27,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f28,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_LOrder_Ojoin__semilorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_35) ).
fof(f29,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).
fof(f30,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Olordered__ab__group__abs(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,
class_OrderedGroup_Ocomm__monoid__add(t_b),
inference(resolution,[],[f26,f3]) ).
fof(f47,plain,
class_Orderings_Olinorder(t_b),
inference(resolution,[],[f27,f3]) ).
fof(f48,plain,
class_LOrder_Ojoin__semilorder(t_b),
inference(resolution,[],[f28,f3]) ).
fof(f49,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(resolution,[],[f29,f3]) ).
fof(f50,plain,
class_Orderings_Oorder(t_b),
inference(resolution,[],[f48,f23]) ).
fof(f51,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f30,f3]) ).
fof(f52,plain,
c_lessequals(sF0,v_f(v_x),t_b),
inference(superposition,[],[f1,f32]) ).
fof(f53,plain,
c_lessequals(sF0,sF4,t_b),
inference(forward_demodulation,[],[f52,f40]) ).
fof(f55,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(resolution,[],[f51,f24]) ).
fof(f58,plain,
( c_lessequals(c_0,sF6,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(superposition,[],[f4,f44]) ).
fof(f59,plain,
c_lessequals(c_0,sF6,t_b),
inference(forward_subsumption_resolution,[],[f58,f51]) ).
fof(f60,plain,
! [X0] : c_plus(c_0,X0,t_b) = X0,
inference(resolution,[],[f9,f46]) ).
fof(f61,plain,
! [X0] : c_0 = c_minus(X0,X0,t_b),
inference(resolution,[],[f17,f49]) ).
fof(f62,plain,
! [X2,X0,X1] :
( c_lessequals(X2,X1,X0)
| c_lessequals(X1,X2,X0)
| ~ class_Orderings_Olinorder(X0)
| ~ class_Orderings_Oorder(X0) ),
inference(resolution,[],[f22,f19]) ).
fof(f63,plain,
! [X0] : c_HOL_Oabs(X0,t_b) = c_HOL_Oabs(c_uminus(X0,t_b),t_b),
inference(resolution,[],[f6,f51]) ).
fof(f67,plain,
! [X0,X1] :
( c_lessequals(X0,X0,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ class_Orderings_Oorder(X1) ),
inference(factoring,[],[f62]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
| c_HOL_Oabs(c_minus(X0,X1,X2),X2) = c_uminus(c_minus(X0,X1,X2),X2) ),
inference(resolution,[],[f13,f7]) ).
fof(f69,plain,
( c_lessequals(sF2,c_0,t_b)
| ~ c_lessequals(sF0,sF1,t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b) ),
inference(superposition,[],[f13,f36]) ).
fof(f74,plain,
( ~ c_lessequals(sF0,sF1,t_b)
| c_lessequals(sF2,c_0,t_b) ),
inference(forward_subsumption_resolution,[],[f69,f55]) ).
fof(f75,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X2)
| c_HOL_Oabs(c_minus(X0,X1,X2),X2) = c_uminus(c_minus(X0,X1,X2),X2) ),
inference(forward_subsumption_resolution,[],[f68,f24]) ).
fof(f82,plain,
! [X0,X1] : c_plus(X0,X1,t_b) = c_minus(X0,c_uminus(X1,t_b),t_b),
inference(resolution,[],[f15,f49]) ).
fof(f84,plain,
( c_lessequals(sF2,c_0,t_b)
| c_lessequals(sF1,sF0,t_b)
| ~ class_Orderings_Olinorder(t_b)
| ~ class_Orderings_Oorder(t_b) ),
inference(resolution,[],[f74,f62]) ).
fof(f85,plain,
( c_lessequals(sF2,c_0,t_b)
| c_lessequals(sF1,sF0,t_b)
| ~ class_Orderings_Oorder(t_b) ),
inference(forward_subsumption_resolution,[],[f84,f47]) ).
fof(f87,plain,
( c_lessequals(sF2,c_0,t_b)
| c_lessequals(sF1,sF0,t_b) ),
inference(forward_subsumption_resolution,[],[f85,f50]) ).
fof(f89,plain,
! [X0,X1] : c_uminus(c_minus(X0,X1,t_b),t_b) = c_minus(X1,X0,t_b),
inference(resolution,[],[f18,f49]) ).
fof(f94,plain,
! [X0] :
( ~ c_lessequals(sF6,X0,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_0,X0,t_b) ),
inference(resolution,[],[f21,f59]) ).
fof(f100,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_minus(X2,X3,X1),X0,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(c_0,X0,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(resolution,[],[f21,f13]) ).
fof(f105,plain,
! [X0] :
( ~ c_lessequals(sF6,X0,t_b)
| c_lessequals(c_0,X0,t_b) ),
inference(forward_subsumption_resolution,[],[f94,f50]) ).
fof(f108,plain,
! [X0] :
( c_lessequals(sF1,sF0,t_b)
| ~ c_lessequals(c_0,X0,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(sF2,X0,t_b) ),
inference(resolution,[],[f87,f21]) ).
fof(f109,plain,
! [X0] :
( ~ c_lessequals(c_0,X0,t_b)
| c_lessequals(sF1,sF0,t_b)
| c_lessequals(sF2,X0,t_b) ),
inference(forward_subsumption_resolution,[],[f108,f50]) ).
fof(f124,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_plus(X3,X2,X0),X1,X0)
| c_lessequals(c_minus(X1,X2,X0),X3,X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| ~ class_Orderings_Olinorder(X0)
| ~ class_Orderings_Oorder(X0) ),
inference(resolution,[],[f12,f62]) ).
fof(f127,plain,
! [X0] :
( c_lessequals(c_0,X0,t_b)
| c_lessequals(X0,sF6,t_b)
| ~ class_Orderings_Olinorder(t_b)
| ~ class_Orderings_Oorder(t_b) ),
inference(resolution,[],[f105,f62]) ).
fof(f128,plain,
! [X0] :
( c_lessequals(c_0,X0,t_b)
| c_lessequals(X0,sF6,t_b)
| ~ class_Orderings_Oorder(t_b) ),
inference(forward_subsumption_resolution,[],[f127,f47]) ).
fof(f130,plain,
! [X0] :
( c_lessequals(c_0,X0,t_b)
| c_lessequals(X0,sF6,t_b) ),
inference(forward_subsumption_resolution,[],[f128,f50]) ).
fof(f132,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,[],[f10,f49]) ).
fof(f133,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,[],[f11,f49]) ).
fof(f149,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,[],[f20,f38]) ).
fof(f150,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,[],[f149,f47]) ).
fof(f175,plain,
( ~ c_lessequals(c_0,sF6,t_b)
| c_lessequals(sF3,sF6,t_b)
| c_lessequals(c_0,sF2,t_b) ),
inference(resolution,[],[f150,f130]) ).
fof(f180,plain,
( c_lessequals(sF3,sF6,t_b)
| c_lessequals(c_0,sF2,t_b) ),
inference(forward_subsumption_resolution,[],[f175,f59]) ).
fof(f183,plain,
c_lessequals(c_0,sF2,t_b),
inference(forward_subsumption_resolution,[],[f180,f45]) ).
fof(f208,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_HOL_Oabs(c_minus(sF0,sF4,t_b),t_b) = c_uminus(c_minus(sF0,sF4,t_b),t_b) ),
inference(resolution,[],[f75,f53]) ).
fof(f224,plain,
c_HOL_Oabs(c_minus(sF0,sF4,t_b),t_b) = c_uminus(c_minus(sF0,sF4,t_b),t_b),
inference(forward_subsumption_resolution,[],[f208,f51]) ).
fof(f236,plain,
c_HOL_Oabs(c_minus(sF0,sF4,t_b),t_b) = c_minus(sF4,sF0,t_b),
inference(forward_demodulation,[],[f224,f89]) ).
fof(f253,plain,
! [X2,X3,X0,X1,X4] :
( ~ class_Orderings_Oorder(X0)
| ~ c_lessequals(c_0,c_plus(X1,X2,X0),X0)
| ~ c_lessequals(X3,X4,X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| c_lessequals(c_minus(c_minus(X3,X4,X0),X2,X0),X1,X0) ),
inference(resolution,[],[f100,f12]) ).
fof(f257,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_minus(c_minus(X3,X4,X0),X2,X0),X1,X0)
| ~ c_lessequals(c_0,c_plus(X1,X2,X0),X0)
| ~ c_lessequals(X3,X4,X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0)
| ~ class_Orderings_Oorder(X0) ),
inference(duplicate_literal_removal,[],[f253]) ).
fof(f470,plain,
c_uminus(sF5,t_b) = c_minus(sF1,sF4,t_b),
inference(superposition,[],[f89,f42]) ).
fof(f471,plain,
c_0 = c_uminus(c_0,t_b),
inference(superposition,[],[f89,f61]) ).
fof(f474,plain,
! [X2,X0,X1] : c_plus(X2,c_minus(X1,X0,t_b),t_b) = c_minus(X2,c_minus(X0,X1,t_b),t_b),
inference(superposition,[],[f82,f89]) ).
fof(f479,plain,
! [X0] : c_minus(X0,c_0,t_b) = c_plus(X0,c_0,t_b),
inference(superposition,[],[f82,f471]) ).
fof(f481,plain,
( c_lessequals(c_0,c_minus(sF4,sF0,t_b),t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
inference(superposition,[],[f4,f236]) ).
fof(f482,plain,
c_lessequals(c_0,c_minus(sF4,sF0,t_b),t_b),
inference(forward_subsumption_resolution,[],[f481,f51]) ).
fof(f560,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,[],[f132,f82]) ).
fof(f562,plain,
! [X0] : c_minus(c_plus(X0,sF0,t_b),sF1,t_b) = c_plus(X0,sF2,t_b),
inference(superposition,[],[f132,f36]) ).
fof(f579,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,[],[f560,f82]) ).
fof(f589,plain,
! [X0,X1] : c_minus(c_plus(X0,X1,t_b),X0,t_b) = c_plus(c_0,X1,t_b),
inference(superposition,[],[f133,f61]) ).
fof(f593,plain,
! [X0] : c_minus(c_plus(sF4,X0,t_b),sF1,t_b) = c_plus(sF5,X0,t_b),
inference(superposition,[],[f133,f42]) ).
fof(f607,plain,
! [X0,X1] : c_minus(c_plus(X0,X1,t_b),X0,t_b) = X1,
inference(forward_demodulation,[],[f589,f60]) ).
fof(f736,plain,
( ~ class_Orderings_Olinorder(t_b)
| ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(c_0,sF2,t_b)
| c_lessequals(sF3,sF2,t_b) ),
inference(resolution,[],[f67,f150]) ).
fof(f744,plain,
( ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(c_0,sF2,t_b)
| c_lessequals(sF3,sF2,t_b) ),
inference(forward_subsumption_resolution,[],[f736,f47]) ).
fof(f745,plain,
( ~ c_lessequals(c_0,sF2,t_b)
| c_lessequals(sF3,sF2,t_b) ),
inference(forward_subsumption_resolution,[],[f744,f50]) ).
fof(f746,plain,
c_lessequals(sF3,sF2,t_b),
inference(forward_subsumption_resolution,[],[f745,f183]) ).
fof(f750,plain,
! [X0] :
( ~ c_lessequals(sF2,X0,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(sF3,X0,t_b) ),
inference(resolution,[],[f746,f21]) ).
fof(f751,plain,
! [X0] :
( ~ c_lessequals(sF2,X0,t_b)
| c_lessequals(sF3,X0,t_b) ),
inference(forward_subsumption_resolution,[],[f750,f50]) ).
fof(f1648,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_plus(c_minus(X0,X1,t_b),X2,t_b),X3,t_b)
| ~ c_lessequals(c_0,c_plus(X3,c_uminus(X2,t_b),t_b),t_b)
| ~ c_lessequals(X0,X1,t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ class_Orderings_Oorder(t_b) ),
inference(superposition,[],[f257,f82]) ).
fof(f1654,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_plus(c_minus(X0,X1,t_b),X2,t_b),X3,t_b)
| ~ c_lessequals(c_0,c_plus(X3,c_uminus(X2,t_b),t_b),t_b)
| ~ c_lessequals(X0,X1,t_b)
| ~ class_Orderings_Oorder(t_b) ),
inference(forward_subsumption_resolution,[],[f1648,f55]) ).
fof(f1666,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_plus(c_minus(X0,X1,t_b),X2,t_b),X3,t_b)
| ~ c_lessequals(c_0,c_plus(X3,c_uminus(X2,t_b),t_b),t_b)
| ~ c_lessequals(X0,X1,t_b) ),
inference(forward_subsumption_resolution,[],[f1654,f50]) ).
fof(f1674,plain,
! [X2,X3,X0,X1] :
( c_lessequals(c_minus(c_plus(X0,X2,t_b),X1,t_b),X3,t_b)
| ~ c_lessequals(c_0,c_plus(X3,c_uminus(X2,t_b),t_b),t_b)
| ~ c_lessequals(X0,X1,t_b) ),
inference(forward_demodulation,[],[f1666,f133]) ).
fof(f2781,plain,
! [X0] : c_minus(X0,c_0,t_b) = X0,
inference(superposition,[],[f607,f60]) ).
fof(f2891,plain,
! [X0] : c_uminus(X0,t_b) = c_minus(c_0,X0,t_b),
inference(superposition,[],[f89,f2781]) ).
fof(f2894,plain,
! [X0,X1] :
( c_lessequals(X0,X1,t_b)
| c_lessequals(c_plus(X1,c_0,t_b),X0,t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ class_Orderings_Olinorder(t_b)
| ~ class_Orderings_Oorder(t_b) ),
inference(superposition,[],[f124,f2781]) ).
fof(f2901,plain,
! [X0,X1] :
( c_lessequals(X0,X1,t_b)
| c_lessequals(c_plus(X1,c_0,t_b),X0,t_b)
| ~ class_Orderings_Olinorder(t_b)
| ~ class_Orderings_Oorder(t_b) ),
inference(forward_subsumption_resolution,[],[f2894,f55]) ).
fof(f2905,plain,
! [X0,X1] :
( c_lessequals(X0,X1,t_b)
| c_lessequals(c_plus(X1,c_0,t_b),X0,t_b)
| ~ class_Orderings_Oorder(t_b) ),
inference(forward_subsumption_resolution,[],[f2901,f47]) ).
fof(f2909,plain,
! [X0,X1] :
( c_lessequals(X0,X1,t_b)
| c_lessequals(c_plus(X1,c_0,t_b),X0,t_b) ),
inference(forward_subsumption_resolution,[],[f2905,f50]) ).
fof(f2912,plain,
! [X0,X1] :
( c_lessequals(c_minus(X1,c_0,t_b),X0,t_b)
| c_lessequals(X0,X1,t_b) ),
inference(forward_demodulation,[],[f2909,f479]) ).
fof(f2914,plain,
! [X0,X1] :
( c_lessequals(X1,X0,t_b)
| c_lessequals(X0,X1,t_b) ),
inference(forward_demodulation,[],[f2912,f2781]) ).
fof(f3015,plain,
! [X0,X1] : c_minus(c_plus(X1,c_0,t_b),X0,t_b) = c_plus(X1,c_uminus(X0,t_b),t_b),
inference(superposition,[],[f132,f2891]) ).
fof(f3031,plain,
! [X0,X1] : c_plus(X1,c_uminus(X0,t_b),t_b) = c_minus(c_minus(X1,c_0,t_b),X0,t_b),
inference(forward_demodulation,[],[f3015,f479]) ).
fof(f3038,plain,
! [X0,X1] : c_minus(X1,X0,t_b) = c_plus(X1,c_uminus(X0,t_b),t_b),
inference(forward_demodulation,[],[f3031,f2781]) ).
fof(f3317,plain,
! [X0] : c_lessequals(X0,X0,t_b),
inference(factoring,[],[f2914]) ).
fof(f4813,plain,
( c_lessequals(sF2,sF6,t_b)
| c_lessequals(sF1,sF0,t_b) ),
inference(resolution,[],[f109,f59]) ).
fof(f4982,plain,
( c_lessequals(sF1,sF0,t_b)
| c_lessequals(sF3,sF6,t_b) ),
inference(resolution,[],[f4813,f751]) ).
fof(f5003,plain,
c_lessequals(sF1,sF0,t_b),
inference(forward_subsumption_resolution,[],[f4982,f45]) ).
fof(f5056,plain,
! [X0] :
( ~ c_lessequals(sF0,X0,t_b)
| ~ class_Orderings_Oorder(t_b)
| c_lessequals(sF1,X0,t_b) ),
inference(resolution,[],[f5003,f21]) ).
fof(f5073,plain,
! [X0] :
( ~ c_lessequals(sF0,X0,t_b)
| c_lessequals(sF1,X0,t_b) ),
inference(forward_subsumption_resolution,[],[f5056,f50]) ).
fof(f5522,plain,
c_plus(sF4,sF2,t_b) = c_plus(sF5,sF0,t_b),
inference(superposition,[],[f562,f593]) ).
fof(f6915,plain,
! [X2,X0,X1] : c_minus(c_plus(X0,X2,t_b),X1,t_b) = c_minus(X0,c_minus(X1,X2,t_b),t_b),
inference(superposition,[],[f132,f474]) ).
fof(f7107,plain,
! [X2,X0,X1] : c_minus(c_plus(X0,c_plus(X1,X2,t_b),t_b),c_plus(X0,X1,t_b),t_b) = X2,
inference(superposition,[],[f607,f579]) ).
fof(f7138,plain,
! [X2,X0,X1] : c_minus(X0,c_minus(c_plus(X0,X1,t_b),c_plus(X1,X2,t_b),t_b),t_b) = X2,
inference(forward_demodulation,[],[f7107,f6915]) ).
fof(f7160,plain,
! [X2,X0,X1] : c_minus(X0,c_minus(X0,c_minus(c_plus(X1,X2,t_b),X1,t_b),t_b),t_b) = X2,
inference(forward_demodulation,[],[f7138,f6915]) ).
fof(f7179,plain,
! [X2,X0] : c_minus(X0,c_minus(X0,X2,t_b),t_b) = X2,
inference(forward_demodulation,[],[f7160,f607]) ).
fof(f7206,plain,
c_lessequals(sF1,sF4,t_b),
inference(resolution,[],[f5073,f53]) ).
fof(f7376,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_HOL_Oabs(c_minus(sF1,sF4,t_b),t_b) = c_uminus(c_minus(sF1,sF4,t_b),t_b) ),
inference(resolution,[],[f7206,f75]) ).
fof(f7390,plain,
c_HOL_Oabs(c_minus(sF1,sF4,t_b),t_b) = c_uminus(c_minus(sF1,sF4,t_b),t_b),
inference(forward_subsumption_resolution,[],[f7376,f51]) ).
fof(f7398,plain,
c_minus(sF4,sF1,t_b) = c_HOL_Oabs(c_minus(sF1,sF4,t_b),t_b),
inference(forward_demodulation,[],[f7390,f89]) ).
fof(f7402,plain,
c_minus(sF4,sF1,t_b) = c_HOL_Oabs(c_uminus(sF5,t_b),t_b),
inference(forward_demodulation,[],[f7398,f470]) ).
fof(f7405,plain,
c_minus(sF4,sF1,t_b) = c_HOL_Oabs(sF5,t_b),
inference(forward_demodulation,[],[f7402,f63]) ).
fof(f7407,plain,
c_minus(sF4,sF1,t_b) = sF6,
inference(forward_demodulation,[],[f7405,f44]) ).
fof(f7409,plain,
sF5 = sF6,
inference(forward_demodulation,[],[f7407,f42]) ).
fof(f7472,plain,
~ c_lessequals(sF3,sF5,t_b),
inference(superposition,[],[f45,f7409]) ).
fof(f13131,plain,
sF0 = c_minus(c_plus(sF4,sF2,t_b),sF5,t_b),
inference(superposition,[],[f607,f5522]) ).
fof(f13178,plain,
sF0 = c_minus(sF4,c_minus(sF5,sF2,t_b),t_b),
inference(forward_demodulation,[],[f13131,f6915]) ).
fof(f15142,plain,
c_minus(sF4,sF0,t_b) = c_minus(sF5,sF2,t_b),
inference(superposition,[],[f7179,f13178]) ).
fof(f18815,plain,
! [X2,X0,X1] :
( c_lessequals(X0,X2,t_b)
| ~ c_lessequals(c_0,c_plus(X2,c_uminus(X0,t_b),t_b),t_b)
| ~ c_lessequals(X1,X1,t_b) ),
inference(superposition,[],[f1674,f607]) ).
fof(f18834,plain,
! [X2,X0] :
( c_lessequals(X0,X2,t_b)
| ~ c_lessequals(c_0,c_plus(X2,c_uminus(X0,t_b),t_b),t_b) ),
inference(forward_subsumption_resolution,[],[f18815,f3317]) ).
fof(f18889,plain,
! [X2,X0] :
( ~ c_lessequals(c_0,c_minus(X2,X0,t_b),t_b)
| c_lessequals(X0,X2,t_b) ),
inference(forward_demodulation,[],[f18834,f3038]) ).
fof(f47846,plain,
( ~ c_lessequals(c_0,c_minus(sF4,sF0,t_b),t_b)
| c_lessequals(sF2,sF5,t_b) ),
inference(superposition,[],[f18889,f15142]) ).
fof(f47852,plain,
c_lessequals(sF2,sF5,t_b),
inference(forward_subsumption_resolution,[],[f47846,f482]) ).
fof(f48873,plain,
c_lessequals(sF3,sF5,t_b),
inference(resolution,[],[f47852,f751]) ).
fof(f48908,plain,
$false,
inference(forward_subsumption_resolution,[],[f48873,f7472]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA022-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n005.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 20:29:31 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.81/2.79 % (1119339)Will run a generic schedule for satisfiability detection.
% 16.81/2.79 % (1119346)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4127237567:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.81/2.79 % (1119345)% WARNING: option uhcvi not known.
% 16.81/2.79 % (1119345)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4270173391:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.81/2.79 % (1119347)dis+10_1_sil=32000:sp=arity:random_seed=1559192363:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.81/2.79 % (1119344)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1078180678_2999 on theBenchmark for (2999ds/0Mi)
% 16.81/2.79 % (1119348)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3225345125:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.81/2.79 % TRYING [1]
% 16.81/2.79 % TRYING [2]
% 16.81/2.79 % TRYING [3]
% 16.81/2.79 % TRYING [4]
% 16.81/2.79 % (1119349)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1673278164:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.81/2.79 % (1119350)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1693660930:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.81/2.79 % TRYING [5]
% 16.81/2.79 % (1119347)Instruction limit reached!
% 16.81/2.79 % (1119347)------------------------------
% 16.81/2.79 % (1119347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.81/2.79 % (1119347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.81/2.79 % (1119347)CaDiCaL version: 2.1.3
% 16.81/2.79 % (1119347)Termination reason: Instruction limit
% 16.81/2.79 % (1119347)Termination phase: Saturation
% 16.81/2.79 % (1119347)Time elapsed: 0.061 s
% 16.81/2.79 % (1119347)Peak memory usage: 12 MB
% 16.81/2.79 % (1119347)Instructions burned: 104 (million)
% 16.81/2.79 % TRYING [6]
% 16.81/2.79 % (1119358)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3095565286:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.81/2.79 % TRYING [1]
% 16.81/2.79 % TRYING [2]
% 16.81/2.79 % TRYING [3]
% 16.81/2.79 % (1119349)Instruction limit reached!
% 16.81/2.79 % (1119349)------------------------------
% 16.81/2.79 % (1119349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.81/2.79 % (1119349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.81/2.79 % (1119349)CaDiCaL version: 2.1.3
% 16.81/2.79 % (1119349)Termination reason: Instruction limit
% 16.81/2.79 % (1119349)Termination phase: Saturation
% 16.81/2.79 % (1119349)Time elapsed: 0.077 s
% 16.81/2.79 % (1119349)Peak memory usage: 12 MB
% 16.81/2.79 % (1119349)Instructions burned: 132 (million)
% 16.81/2.79 % TRYING [4]
% 16.81/2.79 % (1119348)Instruction limit reached!
% 16.81/2.79 % (1119348)------------------------------
% 16.81/2.79 % (1119348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.81/2.79 % (1119348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.81/2.79 % (1119348)CaDiCaL version: 2.1.3
% 16.81/2.79 % (1119348)Termination reason: Instruction limit
% 16.81/2.79 % (1119348)Termination phase: Saturation
% 16.81/2.79 % (1119348)Time elapsed: 0.101 s
% 16.81/2.79 % (1119348)Peak memory usage: 12 MB
% 16.81/2.79 % (1119348)Instructions burned: 117 (million)
% 16.81/2.79 % (1119360)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2267208848:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 16.81/2.79 % (1119361)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=4161428914:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.81/2.79 % (1119350)Instruction limit reached!
% 16.81/2.79 % (1119350)------------------------------
% 16.81/2.79 % (1119350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.81/2.79 % (1119350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.81/2.79 % (1119350)CaDiCaL version: 2.1.3
% 16.81/2.79 % (1119350)Termination reason: Instruction limit
% 16.81/2.79 % (1119350)Termination phase: Saturation
% 16.81/2.79 % (1119350)Time elapsed: 0.121 s
% 16.81/2.79 % (1119350)Peak memory usage: 12 MB
% 16.81/2.79 % (1119350)Instructions burned: 161 (million)
% 16.81/2.79 % TRYING [5]
% 16.81/2.79 % (1119364)ott-21_1_sil=16000:fs=off:random_seed=1810881555:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.81/2.79 % (1119360)Instruction limit reached!
% 16.81/2.79 % (1119360)------------------------------
% 16.81/2.79 % (1119360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.82/6.77 % (1119360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.82/6.77 % (1119360)CaDiCaL version: 2.1.3
% 45.82/6.77 % (1119360)Termination reason: Instruction limit
% 45.82/6.77 % (1119360)Termination phase: Saturation
% 45.82/6.77 % (1119360)Time elapsed: 0.087 s
% 45.82/6.77 % (1119360)Peak memory usage: 12 MB
% 45.82/6.77 % (1119360)Instructions burned: 131 (million)
% 45.82/6.77 % (1119368)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1604064154:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 45.82/6.77 % TRYING [7]
% 45.82/6.77 % (1119364)Instruction limit reached!
% 45.82/6.77 % (1119364)------------------------------
% 45.82/6.77 % (1119364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.82/6.77 % (1119364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.82/6.77 % (1119364)CaDiCaL version: 2.1.3
% 45.82/6.77 % (1119364)Termination reason: Instruction limit
% 45.82/6.77 % (1119364)Termination phase: Saturation
% 45.82/6.77 % (1119364)Time elapsed: 0.094 s
% 45.82/6.77 % (1119364)Peak memory usage: 12 MB
% 45.82/6.77 % (1119364)Instructions burned: 180 (million)
% 45.82/6.77 % (1119385)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1898427212:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 45.82/6.77 % TRYING [1]
% 45.82/6.77 % TRYING [2]
% 45.82/6.77 % TRYING [3]
% 45.82/6.77 % TRYING [4]
% 45.82/6.77 % TRYING [5]
% 45.82/6.77 % TRYING [6]
% 45.82/6.77 % (1119358)Instruction limit reached!
% 45.82/6.77 % (1119358)------------------------------
% 45.82/6.77 % (1119358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.82/6.77 % (1119358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.82/6.77 % (1119358)CaDiCaL version: 2.1.3
% 45.82/6.77 % (1119358)Termination reason: Instruction limit
% 45.82/6.77 % (1119358)Termination phase: Finite model building constraint generation
% 45.82/6.77 % (1119358)Time elapsed: 0.300 s
% 45.82/6.77 % (1119358)Peak memory usage: 32 MB
% 45.82/6.77 % (1119358)Instructions burned: 715 (million)
% 45.82/6.77 % (1119436)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3861345882:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 45.82/6.77 % TRYING [6]
% 45.82/6.77 % (1119361)Instruction limit reached!
% 45.82/6.77 % (1119361)------------------------------
% 45.82/6.77 % (1119361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.82/6.77 % (1119361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.82/6.77 % (1119361)CaDiCaL version: 2.1.3
% 45.82/6.77 % (1119361)Termination reason: Instruction limit
% 45.82/6.77 % (1119361)Termination phase: Saturation
% 45.82/6.77 % (1119361)Time elapsed: 0.351 s
% 45.82/6.77 % (1119361)Peak memory usage: 14 MB
% 45.82/6.77 % (1119361)Instructions burned: 684 (million)
% 45.82/6.77 % (1119455)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1199388707:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 45.82/6.77 % (1119368)Instruction limit reached!
% 45.82/6.77 % (1119368)------------------------------
% 45.82/6.77 % (1119368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.82/6.77 % (1119368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.82/6.77 % (1119368)CaDiCaL version: 2.1.3
% 45.82/6.77 % (1119368)Termination reason: Instruction limit
% 45.82/6.77 % (1119368)Termination phase: Saturation
% 45.82/6.77 % (1119368)Time elapsed: 0.318 s
% 45.82/6.77 % (1119368)Peak memory usage: 14 MB
% 45.82/6.77 % (1119368)Instructions burned: 477 (million)
% 45.82/6.77 % (1119473)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=2893035554: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)
% 45.82/6.77 % (1119385)Instruction limit reached!
% 45.82/6.77 % (1119385)------------------------------
% 45.82/6.77 % (1119385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.82/6.77 % (1119385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.82/6.77 % (1119385)CaDiCaL version: 2.1.3
% 45.82/6.77 % (1119385)Termination reason: Instruction limit
% 45.82/6.77 % (1119385)Termination phase: Finite model building SAT solving
% 45.82/6.77 % (1119385)Time elapsed: 0.392 s
% 45.82/6.77 % (1119385)Peak memory usage: 23 MB
% 45.82/6.77 % (1119385)Instructions burned: 866 (million)
% 45.82/6.77 % (1119498)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=6800199:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 45.82/6.77 % TRYING [8]
% 45.82/6.77 % (1119455)Instruction limit reached!
% 45.82/6.77 % (1119455)------------------------------
% 45.82/6.77 % (1119455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.82/6.77 % (1119455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.82/6.77 % (1119455)CaDiCaL version: 2.1.3
% 45.82/6.77 % (1119455)Termination reason: Instruction limit
% 45.82/6.77 % (1119455)Termination phase: Finite model building constraint generation
% 45.82/6.77 % (1119455)Time elapsed: 0.410 s
% 45.82/6.77 % (1119455)Peak memory usage: 104 MB
% 45.82/6.77 % (1119455)Instructions burned: 890 (million)
% 45.82/6.77 % (1119473)Instruction limit reached!
% 45.82/6.77 % (1119473)------------------------------
% 45.82/6.77 % (1119473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.82/6.77 % (1119473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.82/6.77 % (1119473)CaDiCaL version: 2.1.3
% 45.82/6.77 % (1119473)Termination reason: Instruction limit
% 45.82/6.77 % (1119473)Termination phase: Saturation
% 45.82/6.77 % (1119473)Time elapsed: 0.379 s
% 45.82/6.77 % (1119473)Peak memory usage: 17 MB
% 45.82/6.77 % (1119473)Instructions burned: 693 (million)
% 45.82/6.77 % (1119508)fmb+10_1_sil=64000:random_seed=4009380795:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 45.82/6.77 % TRYING [1]
% 45.82/6.77 % TRYING [2]
% 45.82/6.77 % TRYING [3]
% 45.82/6.77 % (1119509)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3152852854:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 45.82/6.77 % TRYING [20]
% 45.82/6.77 % TRYING [4]
% 45.82/6.77 % TRYING [5]
% 45.82/6.77 % TRYING [6]
% 45.82/6.77 % (1119436)Instruction limit reached!
% 45.82/6.77 % (1119436)------------------------------
% 45.82/6.77 % (1119436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.82/6.77 % (1119436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.82/6.77 % (1119436)CaDiCaL version: 2.1.3
% 45.82/6.77 % (1119436)Termination reason: Instruction limit
% 45.82/6.77 % (1119436)Termination phase: Saturation
% 45.82/6.77 % (1119436)Time elapsed: 0.721 s
% 45.82/6.77 % (1119436)Peak memory usage: 20 MB
% 45.82/6.77 % (1119436)Instructions burned: 1180 (million)
% 45.82/6.77 % (1119512)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2546441134:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 45.82/6.77 % TRYING [8]
% 45.82/6.77 % (1119498)Instruction limit reached!
% 45.82/6.77 % (1119498)------------------------------
% 45.82/6.77 % (1119498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.82/6.77 % (1119498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.82/6.77 % (1119498)CaDiCaL version: 2.1.3
% 45.82/6.77 % (1119498)Termination reason: Instruction limit
% 45.82/6.77 % (1119498)Termination phase: Saturation
% 45.82/6.77 % (1119498)Time elapsed: 0.521 s
% 45.82/6.77 % (1119498)Peak memory usage: 20 MB
% 45.82/6.77 % (1119498)Instructions burned: 879 (million)
% 45.82/6.77 % (1119514)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1435246414:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 45.82/6.77 % TRYING [7]
% 45.82/6.77 % (1119512)Instruction limit reached!
% 45.82/6.77 % (1119512)------------------------------
% 45.82/6.77 % (1119512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.82/6.77 % (1119512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.82/6.77 % (1119512)CaDiCaL version: 2.1.3
% 45.82/6.77 % (1119512)Termination reason: Instruction limit
% 45.82/6.77 % (1119512)Termination phase: Finite model building SAT solving
% 45.82/6.77 % (1119512)Time elapsed: 0.636 s
% 45.82/6.77 % (1119512)Peak memory usage: 61 MB
% 45.82/6.77 % (1119512)Instructions burned: 920 (million)
% 45.82/6.77 % (1119531)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2295126196:i=1472:ins=7:fdi=8:gsp=on_2981 on theBenchmark for (2981ds/1472Mi)
% 45.82/6.77 % TRYING [8]
% 45.82/6.77 % TRYING [9]
% 45.82/6.77 % (1119531)Instruction limit reached!
% 45.82/6.77 % (1119531)------------------------------
% 45.82/6.77 % (1119531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.82/6.77 % (1119531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.82/6.77 % (1119531)CaDiCaL version: 2.1.3
% 45.82/6.77 % (1119531)Termination reason: Instruction limit
% 45.82/6.77 % (1119531)Termination phase: Saturation
% 45.82/6.77 % (1119531)Time elapsed: 0.710 s
% 45.82/6.77 % (1119531)Peak memory usage: 25 MB
% 45.82/6.77 % (1119531)Instructions burned: 1472 (million)
% 45.82/6.77 % (1119675)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3432781649:i=6324_2974 on theBenchmark for (2974ds/6324Mi)
% 45.82/6.77 % (1119675)Cannot represent all propositional literals internally
% 45.82/6.77 % (1119675)Refutation not found, incomplete strategy
% 45.82/6.77 % (1119675)------------------------------
% 45.82/6.77 % (1119675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.82/6.77 % (1119675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.82/6.77 % (1119675)CaDiCaL version: 2.1.3
% 45.82/6.77 % (1119675)Termination reason: Refutation not found, incomplete strategy
% 45.82/6.77 % (1119675)Time elapsed: 0.002 s
% 45.82/6.77 % (1119675)Peak memory usage: 10 MB
% 45.82/6.77 % (1119675)Instructions burned: 3 (million)
% 45.82/6.77 % (1119675)------------------------------
% 45.82/6.77 % (1119675)------------------------------
% 45.82/6.77 % (1119685)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=27475998:fmbsr=2.30978:i=2174_2974 on theBenchmark for (2974ds/2174Mi)
% 45.82/6.77 % TRYING [16]
% 45.82/6.77 % TRYING [9]
% 45.82/6.77 % (1119685)Instruction limit reached!
% 45.82/6.77 % (1119685)------------------------------
% 45.82/6.77 % (1119685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.82/6.77 % (1119685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.82/6.77 % (1119685)CaDiCaL version: 2.1.3
% 45.82/6.77 % (1119685)Termination reason: Instruction limit
% 45.82/6.77 % (1119685)Termination phase: Finite model building constraint generation
% 45.82/6.77 % (1119685)Time elapsed: 0.722 s
% 45.82/6.77 % (1119685)Peak memory usage: 132 MB
% 45.82/6.77 % (1119685)Instructions burned: 2175 (million)
% 45.82/6.77 % (1119690)ott-2_1_sil=16000:newcnf=on:random_seed=22618724:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2966 on theBenchmark for (2966ds/869Mi)
% 45.82/6.77 % (1119690)Instruction limit reached!
% 45.82/6.77 % (1119690)------------------------------
% 45.82/6.77 % (1119690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.82/6.77 % (1119690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.82/6.77 % (1119690)CaDiCaL version: 2.1.3
% 45.82/6.77 % (1119690)Termination reason: Instruction limit
% 45.82/6.77 % (1119690)Termination phase: Saturation
% 45.82/6.77 % (1119690)Time elapsed: 0.514 s
% 45.82/6.77 % (1119690)Peak memory usage: 16 MB
% 45.82/6.77 % (1119690)Instructions burned: 869 (million)
% 45.82/6.77 % (1119692)ott+10_1_sil=32000:tgt=ground:random_seed=3907001867:i=5114:av=off_2961 on theBenchmark for (2961ds/5114Mi)
% 45.82/6.77 % (1119514)Instruction limit reached!
% 45.82/6.77 % (1119514)------------------------------
% 45.82/6.77 % (1119514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.82/6.77 % (1119514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.82/6.77 % (1119514)CaDiCaL version: 2.1.3
% 45.82/6.77 % (1119514)Termination reason: Instruction limit
% 45.82/6.77 % (1119514)Termination phase: Saturation
% 45.82/6.77 % (1119514)Time elapsed: 2.876 s
% 45.82/6.77 % (1119514)Peak memory usage: 32 MB
% 45.82/6.77 % (1119514)Instructions burned: 5132 (million)
% 45.82/6.77 % (1119694)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2029720263:i=54282_2958 on theBenchmark for (2958ds/54282Mi)
% 45.82/6.77 % TRYING [1]
% 45.82/6.77 % TRYING [2]
% 45.82/6.77 % TRYING [3]
% 45.82/6.77 % TRYING [4]
% 45.82/6.77 % TRYING [5]
% 45.82/6.77 % TRYING [6]
% 45.82/6.77 % TRYING [10]
% 45.82/6.77 % TRYING [7]
% 45.82/6.77 % (1119509)Instruction limit reached!
% 45.82/6.77 % (1119509)------------------------------
% 45.82/6.77 % (1119509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.82/6.77 % (1119509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.82/6.77 % (1119509)CaDiCaL version: 2.1.3
% 45.82/6.77 % (1119509)Termination reason: Instruction limit
% 45.82/6.77 % (1119509)Termination phase: Finite model building constraint generation
% 45.82/6.77 % (1119509)Time elapsed: 3.581 s
% 45.82/6.77 % (1119509)Peak memory usage: 598 MB
% 45.82/6.77 % (1119509)Instructions burned: 9517 (million)
% 45.82/6.77 % (1119696)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2340386001:i=3512:aac=none_2953 on theBenchmark for (2953ds/3512Mi)
% 45.82/6.77 % TRYING [8]
% 45.82/6.77 % TRYING [10]
% 45.82/6.77 % TRYING [9]
% 45.82/6.77 % (1119692) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1119339-1119692"...
% 45.82/6.77 % (1119692)...printing done.
% 45.82/6.77 % (1119692)Refutation found. Thanks to Tanya!
% 45.82/6.77 % SZS status Unsatisfiable for theBenchmark
% 45.82/6.77 % SZS output start Proof for theBenchmark
% See solution above
% 45.82/6.77 % (1119692)------------------------------
% 45.82/6.77 % (1119692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.82/6.77 % (1119692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.82/6.77 % (1119692)CaDiCaL version: 2.1.3
% 45.82/6.77 % (1119692)Termination reason: Refutation
% 45.82/6.77 % (1119692)Time elapsed: 2.624 s
% 45.82/6.77 % (1119692)Peak memory usage: 28 MB
% 45.82/6.77 % (1119692)Instructions burned: 4306 (million)
% 45.82/6.77 % (1119339)Success in time 6.557 s
% 45.82/6.77 % Vampire exiting
%------------------------------------------------------------------------------