%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA023-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:30:54 AM UTC 2026
% Result : Unsatisfiable 3.46s 1.34s
% Output : Refutation 3.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 15
% Syntax : Number of formulae : 70 ( 70 unt; 1 def)
% Number of atoms : 70 ( 64 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-4 aty)
% Number of variables : 77 ( 77 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f3,axiom,
! [X0,X1] : ifeq2(class_OrderedGroup_Ocomm__monoid__add(X0),true,c_plus(c_0,X1,X0),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : ifeq(class_OrderedGroup_Opordered__ab__group__add(X0),true,ifeq(c_lessequals(X1,c_minus(X2,X3,X0),X0),true,c_lessequals(c_plus(X1,X3,X0),X2,X0),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_0) ).
fof(f5,plain,
! [X2,X3,X0,X1] : true = ifeq(class_OrderedGroup_Opordered__ab__group__add(X0),true,ifeq(c_lessequals(X1,c_minus(X2,X3,X0),X0),true,c_lessequals(c_plus(X1,X3,X0),X2,X0),true),true),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] : ifeq(class_OrderedGroup_Opordered__ab__group__add(X0),true,ifeq(c_lessequals(c_plus(X1,X2,X0),X3,X0),true,c_lessequals(X1,c_minus(X3,X2,X0),X0),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
fof(f7,plain,
! [X2,X3,X0,X1] : true = ifeq(class_OrderedGroup_Opordered__ab__group__add(X0),true,ifeq(c_lessequals(c_plus(X1,X2,X0),X3,X0),true,c_lessequals(X1,c_minus(X3,X2,X0),X0),true),true),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X2,X3,X0,X1] : ifeq(class_Orderings_Oorder(X0),true,ifeq(c_lessequals(X1,X2,X0),true,ifeq(c_lessequals(X2,X3,X0),true,c_lessequals(X1,X3,X0),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f9,plain,
! [X2,X3,X0,X1] : true = ifeq(class_Orderings_Oorder(X0),true,ifeq(c_lessequals(X1,X2,X0),true,ifeq(c_lessequals(X2,X3,X0),true,c_lessequals(X1,X3,X0),true),true),true),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f11,plain,
true = c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
c_lessequals(v_k(v_x),v_f(v_x),t_b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f13,plain,
true = c_lessequals(v_k(v_x),v_f(v_x),t_b),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f15,plain,
true != c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
inference(reorient_equations,[],[f14]) ).
fof(f16,axiom,
! [X0] : ifeq(class_Orderings_Olinorder(X0),true,class_Orderings_Oorder(X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_4) ).
fof(f17,plain,
! [X0] : true = ifeq(class_Orderings_Olinorder(X0),true,class_Orderings_Oorder(X0),true),
inference(reorient_equations,[],[f16]) ).
fof(f18,axiom,
! [X0] : ifeq(class_Ring__and__Field_Oordered__idom(X0),true,class_OrderedGroup_Ocomm__monoid__add(X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).
fof(f19,plain,
! [X0] : true = ifeq(class_Ring__and__Field_Oordered__idom(X0),true,class_OrderedGroup_Ocomm__monoid__add(X0),true),
inference(reorient_equations,[],[f18]) ).
fof(f20,axiom,
! [X0] : ifeq(class_Ring__and__Field_Oordered__idom(X0),true,class_Orderings_Olinorder(X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f21,plain,
! [X0] : true = ifeq(class_Ring__and__Field_Oordered__idom(X0),true,class_Orderings_Olinorder(X0),true),
inference(reorient_equations,[],[f20]) ).
fof(f22,axiom,
! [X0] : ifeq(class_Ring__and__Field_Oordered__idom(X0),true,class_OrderedGroup_Opordered__ab__group__add(X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(f23,plain,
! [X0] : true = ifeq(class_Ring__and__Field_Oordered__idom(X0),true,class_OrderedGroup_Opordered__ab__group__add(X0),true),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f25,plain,
true = class_Ring__and__Field_Oordered__idom(t_b),
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
~ sP0(c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b)),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f27,plain,
sP0(true),
inference(inequality_splitting,[],[f15,f26]) ).
fof(f28,plain,
! [X0] : class_Ring__and__Field_Oordered__idom(t_b) = ifeq(class_Ring__and__Field_Oordered__idom(X0),class_Ring__and__Field_Oordered__idom(t_b),class_OrderedGroup_Opordered__ab__group__add(X0),class_Ring__and__Field_Oordered__idom(t_b)),
inference(forward_demodulation,[],[f23,f25]) ).
fof(f29,plain,
! [X0] : class_Ring__and__Field_Oordered__idom(t_b) = ifeq(class_Ring__and__Field_Oordered__idom(X0),class_Ring__and__Field_Oordered__idom(t_b),class_Orderings_Olinorder(X0),class_Ring__and__Field_Oordered__idom(t_b)),
inference(forward_demodulation,[],[f21,f25]) ).
fof(f30,plain,
! [X0] : class_Ring__and__Field_Oordered__idom(t_b) = ifeq(class_Ring__and__Field_Oordered__idom(X0),class_Ring__and__Field_Oordered__idom(t_b),class_OrderedGroup_Ocomm__monoid__add(X0),class_Ring__and__Field_Oordered__idom(t_b)),
inference(forward_demodulation,[],[f19,f25]) ).
fof(f31,plain,
! [X0] : class_Ring__and__Field_Oordered__idom(t_b) = ifeq(class_Orderings_Olinorder(X0),class_Ring__and__Field_Oordered__idom(t_b),class_Orderings_Oorder(X0),class_Ring__and__Field_Oordered__idom(t_b)),
inference(forward_demodulation,[],[f17,f25]) ).
fof(f32,plain,
sP0(class_Ring__and__Field_Oordered__idom(t_b)),
inference(forward_demodulation,[],[f27,f25]) ).
fof(f33,plain,
c_lessequals(v_k(v_x),v_f(v_x),t_b) = class_Ring__and__Field_Oordered__idom(t_b),
inference(forward_demodulation,[],[f13,f25]) ).
fof(f34,plain,
c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b) = class_Ring__and__Field_Oordered__idom(t_b),
inference(forward_demodulation,[],[f11,f25]) ).
fof(f35,plain,
! [X2,X3,X0,X1] : class_Ring__and__Field_Oordered__idom(t_b) = ifeq(class_Orderings_Oorder(X0),class_Ring__and__Field_Oordered__idom(t_b),ifeq(c_lessequals(X1,X2,X0),class_Ring__and__Field_Oordered__idom(t_b),ifeq(c_lessequals(X2,X3,X0),class_Ring__and__Field_Oordered__idom(t_b),c_lessequals(X1,X3,X0),class_Ring__and__Field_Oordered__idom(t_b)),class_Ring__and__Field_Oordered__idom(t_b)),class_Ring__and__Field_Oordered__idom(t_b)),
inference(forward_demodulation,[],[f9,f25]) ).
fof(f36,plain,
! [X2,X3,X0,X1] : class_Ring__and__Field_Oordered__idom(t_b) = ifeq(class_OrderedGroup_Opordered__ab__group__add(X0),class_Ring__and__Field_Oordered__idom(t_b),ifeq(c_lessequals(c_plus(X1,X2,X0),X3,X0),class_Ring__and__Field_Oordered__idom(t_b),c_lessequals(X1,c_minus(X3,X2,X0),X0),class_Ring__and__Field_Oordered__idom(t_b)),class_Ring__and__Field_Oordered__idom(t_b)),
inference(forward_demodulation,[],[f7,f25]) ).
fof(f37,plain,
! [X2,X3,X0,X1] : class_Ring__and__Field_Oordered__idom(t_b) = ifeq(class_OrderedGroup_Opordered__ab__group__add(X0),class_Ring__and__Field_Oordered__idom(t_b),ifeq(c_lessequals(X1,c_minus(X2,X3,X0),X0),class_Ring__and__Field_Oordered__idom(t_b),c_lessequals(c_plus(X1,X3,X0),X2,X0),class_Ring__and__Field_Oordered__idom(t_b)),class_Ring__and__Field_Oordered__idom(t_b)),
inference(forward_demodulation,[],[f5,f25]) ).
fof(f38,plain,
! [X0,X1] : ifeq2(class_OrderedGroup_Ocomm__monoid__add(X0),class_Ring__and__Field_Oordered__idom(t_b),c_plus(c_0,X1,X0),X1) = X1,
inference(forward_demodulation,[],[f3,f25]) ).
fof(f40,plain,
class_Ring__and__Field_Oordered__idom(t_b) = ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b),class_Ring__and__Field_Oordered__idom(t_b),ifeq(class_Ring__and__Field_Oordered__idom(t_b),class_Ring__and__Field_Oordered__idom(t_b),c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b),class_Ring__and__Field_Oordered__idom(t_b)),class_Ring__and__Field_Oordered__idom(t_b)),
inference(superposition,[],[f37,f34]) ).
fof(f41,plain,
class_Ring__and__Field_Oordered__idom(t_b) = ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b),class_Ring__and__Field_Oordered__idom(t_b),c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b),class_Ring__and__Field_Oordered__idom(t_b)),
inference(forward_demodulation,[],[f40,f2]) ).
fof(f44,plain,
! [X0] : class_Ring__and__Field_Oordered__idom(t_b) = ifeq(class_Orderings_Oorder(t_b),class_Ring__and__Field_Oordered__idom(t_b),ifeq(c_lessequals(X0,v_k(v_x),t_b),class_Ring__and__Field_Oordered__idom(t_b),ifeq(class_Ring__and__Field_Oordered__idom(t_b),class_Ring__and__Field_Oordered__idom(t_b),c_lessequals(X0,v_f(v_x),t_b),class_Ring__and__Field_Oordered__idom(t_b)),class_Ring__and__Field_Oordered__idom(t_b)),class_Ring__and__Field_Oordered__idom(t_b)),
inference(superposition,[],[f35,f33]) ).
fof(f49,plain,
! [X0] : class_Ring__and__Field_Oordered__idom(t_b) = ifeq(class_Orderings_Oorder(t_b),class_Ring__and__Field_Oordered__idom(t_b),ifeq(c_lessequals(X0,v_k(v_x),t_b),class_Ring__and__Field_Oordered__idom(t_b),c_lessequals(X0,v_f(v_x),t_b),class_Ring__and__Field_Oordered__idom(t_b)),class_Ring__and__Field_Oordered__idom(t_b)),
inference(forward_demodulation,[],[f44,f2]) ).
fof(f56,plain,
class_Ring__and__Field_Oordered__idom(t_b) = class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(superposition,[],[f28,f2]) ).
fof(f57,plain,
class_Ring__and__Field_Oordered__idom(t_b) = class_Orderings_Olinorder(t_b),
inference(superposition,[],[f29,f2]) ).
fof(f58,plain,
class_Ring__and__Field_Oordered__idom(t_b) = class_OrderedGroup_Ocomm__monoid__add(t_b),
inference(superposition,[],[f30,f2]) ).
fof(f63,plain,
! [X0] : class_OrderedGroup_Ocomm__monoid__add(t_b) = ifeq(class_Orderings_Olinorder(X0),class_OrderedGroup_Ocomm__monoid__add(t_b),class_Orderings_Oorder(X0),class_OrderedGroup_Ocomm__monoid__add(t_b)),
inference(backward_demodulation,[],[f31,f58]) ).
fof(f64,plain,
sP0(class_OrderedGroup_Ocomm__monoid__add(t_b)),
inference(backward_demodulation,[],[f32,f58]) ).
fof(f68,plain,
! [X2,X3,X0,X1] : class_OrderedGroup_Ocomm__monoid__add(t_b) = ifeq(class_OrderedGroup_Opordered__ab__group__add(X0),class_OrderedGroup_Ocomm__monoid__add(t_b),ifeq(c_lessequals(c_plus(X1,X2,X0),X3,X0),class_OrderedGroup_Ocomm__monoid__add(t_b),c_lessequals(X1,c_minus(X3,X2,X0),X0),class_OrderedGroup_Ocomm__monoid__add(t_b)),class_OrderedGroup_Ocomm__monoid__add(t_b)),
inference(backward_demodulation,[],[f36,f58]) ).
fof(f70,plain,
! [X0,X1] : ifeq2(class_OrderedGroup_Ocomm__monoid__add(X0),class_OrderedGroup_Ocomm__monoid__add(t_b),c_plus(c_0,X1,X0),X1) = X1,
inference(backward_demodulation,[],[f38,f58]) ).
fof(f72,plain,
class_OrderedGroup_Ocomm__monoid__add(t_b) = ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b),class_OrderedGroup_Ocomm__monoid__add(t_b),c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b),class_OrderedGroup_Ocomm__monoid__add(t_b)),
inference(backward_demodulation,[],[f41,f58]) ).
fof(f76,plain,
! [X0] : class_OrderedGroup_Ocomm__monoid__add(t_b) = ifeq(class_Orderings_Oorder(t_b),class_OrderedGroup_Ocomm__monoid__add(t_b),ifeq(c_lessequals(X0,v_k(v_x),t_b),class_OrderedGroup_Ocomm__monoid__add(t_b),c_lessequals(X0,v_f(v_x),t_b),class_OrderedGroup_Ocomm__monoid__add(t_b)),class_OrderedGroup_Ocomm__monoid__add(t_b)),
inference(backward_demodulation,[],[f49,f58]) ).
fof(f80,plain,
class_Orderings_Olinorder(t_b) = class_OrderedGroup_Ocomm__monoid__add(t_b),
inference(forward_demodulation,[],[f57,f58]) ).
fof(f81,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b) = class_OrderedGroup_Ocomm__monoid__add(t_b),
inference(forward_demodulation,[],[f56,f58]) ).
fof(f85,plain,
class_OrderedGroup_Ocomm__monoid__add(t_b) = ifeq(class_OrderedGroup_Ocomm__monoid__add(t_b),class_OrderedGroup_Ocomm__monoid__add(t_b),c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b),class_OrderedGroup_Ocomm__monoid__add(t_b)),
inference(backward_demodulation,[],[f72,f81]) ).
fof(f86,plain,
c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b) = class_OrderedGroup_Ocomm__monoid__add(t_b),
inference(forward_demodulation,[],[f85,f2]) ).
fof(f96,plain,
class_OrderedGroup_Ocomm__monoid__add(t_b) = ifeq(class_OrderedGroup_Ocomm__monoid__add(t_b),class_OrderedGroup_Ocomm__monoid__add(t_b),class_Orderings_Oorder(t_b),class_OrderedGroup_Ocomm__monoid__add(t_b)),
inference(superposition,[],[f63,f80]) ).
fof(f97,plain,
class_Orderings_Oorder(t_b) = class_OrderedGroup_Ocomm__monoid__add(t_b),
inference(forward_demodulation,[],[f96,f2]) ).
fof(f101,plain,
! [X0] : class_OrderedGroup_Ocomm__monoid__add(t_b) = ifeq(class_OrderedGroup_Ocomm__monoid__add(t_b),class_OrderedGroup_Ocomm__monoid__add(t_b),ifeq(c_lessequals(X0,v_k(v_x),t_b),class_OrderedGroup_Ocomm__monoid__add(t_b),c_lessequals(X0,v_f(v_x),t_b),class_OrderedGroup_Ocomm__monoid__add(t_b)),class_OrderedGroup_Ocomm__monoid__add(t_b)),
inference(backward_demodulation,[],[f76,f97]) ).
fof(f108,plain,
! [X0] : class_OrderedGroup_Ocomm__monoid__add(t_b) = ifeq(c_lessequals(X0,v_k(v_x),t_b),class_OrderedGroup_Ocomm__monoid__add(t_b),c_lessequals(X0,v_f(v_x),t_b),class_OrderedGroup_Ocomm__monoid__add(t_b)),
inference(forward_demodulation,[],[f101,f2]) ).
fof(f115,plain,
! [X0] : c_plus(c_0,X0,t_b) = X0,
inference(superposition,[],[f1,f70]) ).
fof(f116,plain,
class_OrderedGroup_Ocomm__monoid__add(t_b) = c_lessequals(v_g(v_x),v_k(v_x),t_b),
inference(backward_demodulation,[],[f86,f115]) ).
fof(f125,plain,
! [X0,X1] : class_OrderedGroup_Ocomm__monoid__add(t_b) = ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b),class_OrderedGroup_Ocomm__monoid__add(t_b),ifeq(c_lessequals(X0,X1,t_b),class_OrderedGroup_Ocomm__monoid__add(t_b),c_lessequals(c_0,c_minus(X1,X0,t_b),t_b),class_OrderedGroup_Ocomm__monoid__add(t_b)),class_OrderedGroup_Ocomm__monoid__add(t_b)),
inference(superposition,[],[f68,f115]) ).
fof(f126,plain,
! [X0,X1] : class_OrderedGroup_Ocomm__monoid__add(t_b) = ifeq(class_OrderedGroup_Ocomm__monoid__add(t_b),class_OrderedGroup_Ocomm__monoid__add(t_b),ifeq(c_lessequals(X0,X1,t_b),class_OrderedGroup_Ocomm__monoid__add(t_b),c_lessequals(c_0,c_minus(X1,X0,t_b),t_b),class_OrderedGroup_Ocomm__monoid__add(t_b)),class_OrderedGroup_Ocomm__monoid__add(t_b)),
inference(forward_demodulation,[],[f125,f81]) ).
fof(f127,plain,
! [X0,X1] : class_OrderedGroup_Ocomm__monoid__add(t_b) = ifeq(c_lessequals(X0,X1,t_b),class_OrderedGroup_Ocomm__monoid__add(t_b),c_lessequals(c_0,c_minus(X1,X0,t_b),t_b),class_OrderedGroup_Ocomm__monoid__add(t_b)),
inference(forward_demodulation,[],[f126,f2]) ).
fof(f178,plain,
class_OrderedGroup_Ocomm__monoid__add(t_b) = ifeq(class_OrderedGroup_Ocomm__monoid__add(t_b),class_OrderedGroup_Ocomm__monoid__add(t_b),c_lessequals(v_g(v_x),v_f(v_x),t_b),class_OrderedGroup_Ocomm__monoid__add(t_b)),
inference(superposition,[],[f108,f116]) ).
fof(f180,plain,
class_OrderedGroup_Ocomm__monoid__add(t_b) = c_lessequals(v_g(v_x),v_f(v_x),t_b),
inference(forward_demodulation,[],[f178,f2]) ).
fof(f231,plain,
class_OrderedGroup_Ocomm__monoid__add(t_b) = ifeq(class_OrderedGroup_Ocomm__monoid__add(t_b),class_OrderedGroup_Ocomm__monoid__add(t_b),c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),class_OrderedGroup_Ocomm__monoid__add(t_b)),
inference(superposition,[],[f127,f180]) ).
fof(f234,plain,
c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b) = class_OrderedGroup_Ocomm__monoid__add(t_b),
inference(forward_demodulation,[],[f231,f2]) ).
fof(f238,plain,
~ sP0(class_OrderedGroup_Ocomm__monoid__add(t_b)),
inference(backward_demodulation,[],[f26,f234]) ).
fof(f239,plain,
$false,
inference(forward_subsumption_resolution,[],[f238,f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ANA023-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.27 % Computer : n005.cluster.edu
% 0.11/0.27 % Model : x86_64 x86_64
% 0.11/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.27 % Memory : 8046.5625MB
% 0.11/0.27 % OS : Linux 6.8.0-71-generic
% 0.11/0.27 % CPULimit : 300
% 0.11/0.27 % WCLimit : 300
% 0.11/0.27 % DateTime : Mon Sep 28 20:29:32 UTC 2026
% 0.27/0.27 % CPUTime :
% 0.27/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.32 Running first-order theorem proving
% 0.27/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.46/1.34 % (1119503)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.46/1.34 % (1119520)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=905467824:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 3.46/1.34 % (1119520)First to succeed.
% 3.46/1.34 % (1119520)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1119503"
% 3.46/1.34 % (1119522)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1193985972:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 3.46/1.34 % (1119517)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=3470251217:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 3.46/1.34 % (1119523)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2571548580:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 3.46/1.34 % (1119519)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2222644047:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 3.46/1.34 % (1119518)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3648951714:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 3.46/1.34 % (1119522)Also succeeded, but the first one will report.
% 3.46/1.34 % (1119523)Also succeeded, but the first one will report.
% 3.46/1.34 % (1119521)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3137950439:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 3.46/1.34 % (1119521)Also succeeded, but the first one will report.
% 3.46/1.34 % (1119520)Refutation found. Thanks to Tanya!
% 3.46/1.34 % SZS status Unsatisfiable for theBenchmark
% 3.46/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 3.79/1.50 % (1119520)------------------------------
% 3.79/1.50 % (1119520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.50 % (1119520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.50 % (1119520)CaDiCaL version: 2.1.3
% 3.79/1.50 % (1119520)Termination reason: Refutation
% 3.79/1.50 % (1119520)Time elapsed: 0.011 s
% 3.79/1.50 % (1119520)Peak memory usage: 88 MB
% 3.79/1.50 % (1119520)Instructions burned: 20 (million)
% 3.79/1.50 % (1119520)------------------------------
% 3.79/1.50 % (1119520)------------------------------
% 3.79/1.50 % (1119503)Success in time 0.419 s
% 3.79/1.50 % Vampire exiting
%------------------------------------------------------------------------------