%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG441-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:20:01 AM UTC 2026
% Result : Unsatisfiable 158.25s 33.23s
% Output : Refutation 231.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 16
% Syntax : Number of formulae : 112 ( 112 unt; 0 def)
% Number of atoms : 112 ( 111 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-4 aty)
% Number of variables : 294 ( 294 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X0,X1] : m(X0,X0,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
fof(f3,axiom,
! [X0,X1] : m(X0,X1,X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_001) ).
fof(f5,axiom,
! [X0] : v(X0,X0,X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_003) ).
fof(f6,axiom,
! [X0,X1] : u(X0,X1) = u(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_004) ).
fof(f7,axiom,
! [X0,X1] : v(X0,X0,X0,X1) = v(X0,X0,X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_005) ).
fof(f8,axiom,
! [X0,X1] : v(X0,X0,X1,X0) = v(X0,X1,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_006) ).
fof(f9,axiom,
! [X0,X1] : v(X0,X1,X0,X0) = v(X1,X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_007) ).
fof(f10,axiom,
! [X0,X1] : u(X0,X1) = v(X0,X0,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_008) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : ifeq(r(X0,X1,X2),true,ifeq(r(X3,X4,X5),true,ifeq(r(X6,X7,X8),true,r(m(X6,X3,X0),m(X7,X4,X1),m(X8,X5,X2)),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_009) ).
fof(f12,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(r(X0,X1,X2),true,ifeq(r(X3,X4,X5),true,ifeq(r(X6,X7,X8),true,r(m(X6,X3,X0),m(X7,X4,X1),m(X8,X5,X2)),true),true),true),
inference(reorient_equations,[],[f11]) ).
fof(f13,axiom,
! [X2,X3,X0,X1,X4,X5] : ifeq(r(X0,X1,X2),true,ifeq(r(X3,X4,X5),true,r(u(X3,X0),u(X4,X1),u(X5,X2)),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_010) ).
fof(f14,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(r(X0,X1,X2),true,ifeq(r(X3,X4,X5),true,r(u(X3,X0),u(X4,X1),u(X5,X2)),true),true),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : ifeq(r(X0,X1,X2),true,ifeq(r(X3,X4,X5),true,ifeq(r(X6,X7,X8),true,ifeq(r(X9,X10,X11),true,r(v(X9,X6,X3,X0),v(X10,X7,X4,X1),v(X11,X8,X5,X2)),true),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_011) ).
fof(f16,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : true = ifeq(r(X0,X1,X2),true,ifeq(r(X3,X4,X5),true,ifeq(r(X6,X7,X8),true,ifeq(r(X9,X10,X11),true,r(v(X9,X6,X3,X0),v(X10,X7,X4,X1),v(X11,X8,X5,X2)),true),true),true),true),
inference(reorient_equations,[],[f15]) ).
fof(f17,axiom,
r(a,a,b) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_012) ).
fof(f18,plain,
true = r(a,a,b),
inference(reorient_equations,[],[f17]) ).
fof(f19,axiom,
r(a,b,a) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_013) ).
fof(f20,plain,
true = r(a,b,a),
inference(reorient_equations,[],[f19]) ).
fof(f21,axiom,
r(b,a,a) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_014) ).
fof(f22,plain,
true = r(b,a,a),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
r(a,a,a) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f24,plain,
true != r(a,a,a),
inference(reorient_equations,[],[f23]) ).
fof(f26,plain,
! [X0,X1] : v(X0,X0,X0,X1) = v(X1,X1,X1,X0),
inference(definition_unfolding,[],[f6,f10,f10]) ).
fof(f27,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(r(X0,X1,X2),true,ifeq(r(X3,X4,X5),true,r(v(X3,X3,X3,X0),v(X4,X4,X4,X1),v(X5,X5,X5,X2)),true),true),
inference(definition_unfolding,[],[f14,f10,f10,f10]) ).
fof(f37,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(r(X0,X1,X2),true,ifeq(r(X3,X4,X5),true,ifeq(r(X6,X7,X8),true,ifeq(true,true,r(v(b,X6,X3,X0),v(a,X7,X4,X1),v(a,X8,X5,X2)),true),true),true),true),
inference(superposition,[],[f16,f22]) ).
fof(f39,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(r(X0,X1,X2),true,ifeq(r(X3,X4,X5),true,ifeq(r(X6,X7,X8),true,ifeq(true,true,r(v(a,X6,X3,X0),v(a,X7,X4,X1),v(b,X8,X5,X2)),true),true),true),true),
inference(superposition,[],[f16,f18]) ).
fof(f40,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(r(X0,X1,X2),true,ifeq(r(X3,X4,X5),true,ifeq(r(X6,X7,X8),true,r(v(a,X6,X3,X0),v(a,X7,X4,X1),v(b,X8,X5,X2)),true),true),true),
inference(forward_demodulation,[],[f39,f1]) ).
fof(f42,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : true = ifeq(r(X0,X1,X2),true,ifeq(r(X3,X4,X5),true,ifeq(r(X6,X7,X8),true,r(v(b,X6,X3,X0),v(a,X7,X4,X1),v(a,X8,X5,X2)),true),true),true),
inference(forward_demodulation,[],[f37,f1]) ).
fof(f53,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(r(X0,X1,X2),true,r(v(X0,X0,X0,a),v(X1,X1,X1,b),v(X2,X2,X2,a)),true),true),
inference(superposition,[],[f27,f20]) ).
fof(f63,plain,
! [X2,X0,X1] : true = ifeq(r(X0,X1,X2),true,r(v(X0,X0,X0,a),v(X1,X1,X1,b),v(X2,X2,X2,a)),true),
inference(forward_demodulation,[],[f53,f1]) ).
fof(f118,plain,
! [X0,X1] : v(X0,X0,X0,X1) = v(X1,X1,X0,X1),
inference(superposition,[],[f7,f26]) ).
fof(f126,plain,
! [X0,X1] : v(X0,X1,X1,X1) = v(X1,X1,X0,X1),
inference(superposition,[],[f8,f9]) ).
fof(f131,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(r(X1,X2,X3),true,ifeq(r(X4,X2,X5),true,ifeq(r(X6,X0,X7),true,r(m(X6,X4,X1),X0,m(X7,X5,X3)),true),true),true),
inference(superposition,[],[f12,f3]) ).
fof(f132,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(r(X1,X2,X3),true,ifeq(r(X1,X4,X5),true,ifeq(r(X0,X6,X7),true,r(X0,m(X6,X4,X2),m(X7,X5,X3)),true),true),true),
inference(superposition,[],[f12,f3]) ).
fof(f133,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(r(X1,X2,X0),true,ifeq(r(X3,X4,X5),true,ifeq(r(X6,X7,X5),true,r(m(X6,X3,X1),m(X7,X4,X2),X0),true),true),true),
inference(superposition,[],[f12,f2]) ).
fof(f135,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : true = ifeq(r(X0,X1,X2),true,ifeq(r(X3,X4,X5),true,ifeq(r(X3,X6,X7),true,r(X0,m(X6,X4,X1),m(X7,X5,X2)),true),true),true),
inference(superposition,[],[f12,f2]) ).
fof(f247,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(true,true,ifeq(r(X0,X1,X2),true,ifeq(r(X3,X4,X5),true,r(v(a,X3,X0,a),v(a,X4,X1,a),v(b,X5,X2,b)),true),true),true),
inference(superposition,[],[f40,f18]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(r(X0,X1,X2),true,ifeq(r(X3,X4,X5),true,r(v(a,X3,X0,a),v(a,X4,X1,a),v(b,X5,X2,b)),true),true),
inference(forward_demodulation,[],[f247,f1]) ).
fof(f301,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(r(X0,X1,X2),true,ifeq(r(X3,X4,X5),true,ifeq(true,true,r(v(b,a,X3,X0),v(a,b,X4,X1),v(a,a,X5,X2)),true),true),true),
inference(superposition,[],[f42,f20]) ).
fof(f302,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(r(X0,X1,X2),true,ifeq(r(X3,X4,X5),true,ifeq(true,true,r(v(b,a,X3,X0),v(a,a,X4,X1),v(a,b,X5,X2)),true),true),true),
inference(superposition,[],[f42,f18]) ).
fof(f334,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(r(X0,X1,X2),true,ifeq(r(X3,X4,X5),true,r(v(b,a,X3,X0),v(a,a,X4,X1),v(a,b,X5,X2)),true),true),
inference(forward_demodulation,[],[f302,f1]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X4,X5] : true = ifeq(r(X0,X1,X2),true,ifeq(r(X3,X4,X5),true,r(v(b,a,X3,X0),v(a,b,X4,X1),v(a,a,X5,X2)),true),true),
inference(forward_demodulation,[],[f301,f1]) ).
fof(f1166,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(r(X1,X0,X2),true,ifeq(r(X1,X3,X4),true,ifeq(r(X5,X3,X6),true,r(X5,X0,m(X6,X4,X2)),true),true),true),
inference(superposition,[],[f132,f2]) ).
fof(f1189,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(r(X1,X2,X3),true,ifeq(r(X4,X5,X3),true,ifeq(r(X4,X6,X0),true,r(X1,m(X6,X5,X2),X0),true),true),true),
inference(superposition,[],[f135,f3]) ).
fof(f1674,plain,
true = ifeq(true,true,r(v(b,b,b,a),v(a,a,a,b),v(a,a,a,a)),true),
inference(superposition,[],[f63,f22]) ).
fof(f1715,plain,
true = r(v(b,b,b,a),v(a,a,a,b),v(a,a,a,a)),
inference(forward_demodulation,[],[f1674,f1]) ).
fof(f1727,plain,
true = r(v(b,b,b,a),v(a,a,a,b),a),
inference(forward_demodulation,[],[f1715,f5]) ).
fof(f1738,plain,
true = r(v(b,b,a,b),v(a,a,a,b),a),
inference(forward_demodulation,[],[f1727,f7]) ).
fof(f1742,plain,
true = r(v(b,a,b,b),v(a,a,a,b),a),
inference(forward_demodulation,[],[f1738,f8]) ).
fof(f1746,plain,
true = r(v(a,b,b,b),v(a,a,a,b),a),
inference(forward_demodulation,[],[f1742,f9]) ).
fof(f2829,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(r(X1,X2,X0),true,ifeq(r(X3,X2,X4),true,ifeq(r(X5,X6,X4),true,r(m(X5,X3,X1),X6,X0),true),true),true),
inference(superposition,[],[f131,f2]) ).
fof(f2887,plain,
! [X2,X3,X0,X1,X6,X4,X5] : true = ifeq(r(X1,X0,X2),true,ifeq(r(X3,X4,X5),true,ifeq(r(X6,X4,X5),true,r(m(X6,X3,X1),X0,X2),true),true),true),
inference(superposition,[],[f133,f2]) ).
fof(f3439,plain,
! [X0,X1] : v(X0,X0,X0,X1) = v(X0,X1,X1,X1),
inference(superposition,[],[f126,f118]) ).
fof(f3872,plain,
! [X2,X3,X0,X1] : true = ifeq(r(X0,X1,X2),true,ifeq(r(X3,X1,a),true,ifeq(true,true,r(m(b,X3,X0),a,X2),true),true),true),
inference(superposition,[],[f2829,f22]) ).
fof(f3892,plain,
! [X2,X3,X0,X1] : true = ifeq(r(X0,X1,X2),true,ifeq(r(X3,X1,a),true,r(m(b,X3,X0),a,X2),true),true),
inference(forward_demodulation,[],[f3872,f1]) ).
fof(f4032,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(r(X0,X1,X2),true,ifeq(r(X3,X1,X2),true,r(m(X3,X0,b),a,a),true),true),true),
inference(superposition,[],[f2887,f22]) ).
fof(f4098,plain,
! [X2,X3,X0,X1] : true = ifeq(r(X0,X1,X2),true,ifeq(r(X3,X1,X2),true,r(m(X3,X0,b),a,a),true),true),
inference(forward_demodulation,[],[f4032,f1]) ).
fof(f4196,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(r(a,X0,X1),true,ifeq(r(X2,X0,X3),true,r(X2,a,m(X3,X1,b)),true),true),true),
inference(superposition,[],[f1166,f18]) ).
fof(f4243,plain,
! [X2,X3,X0,X1] : true = ifeq(r(a,X0,X1),true,ifeq(r(X2,X0,X3),true,r(X2,a,m(X3,X1,b)),true),true),
inference(forward_demodulation,[],[f4196,f1]) ).
fof(f4615,plain,
! [X2,X0,X1] : true = ifeq(r(a,X0,X1),true,ifeq(r(X2,X0,X1),true,r(X2,a,b),true),true),
inference(superposition,[],[f4243,f2]) ).
fof(f5321,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(r(X0,X1,b),true,ifeq(r(X0,X2,X3),true,r(a,m(X2,X1,a),X3),true),true),true),
inference(superposition,[],[f1189,f18]) ).
fof(f5376,plain,
! [X2,X3,X0,X1] : true = ifeq(r(X0,X1,b),true,ifeq(r(X0,X2,X3),true,r(a,m(X2,X1,a),X3),true),true),
inference(forward_demodulation,[],[f5321,f1]) ).
fof(f7645,plain,
! [X2,X0,X1] : true = ifeq(r(X0,X1,X2),true,ifeq(r(X0,X1,a),true,r(b,a,X2),true),true),
inference(superposition,[],[f3892,f3]) ).
fof(f9845,plain,
! [X2,X0,X1] : true = ifeq(r(X0,X1,b),true,ifeq(r(X0,X1,X2),true,r(a,a,X2),true),true),
inference(superposition,[],[f5376,f2]) ).
fof(f12042,plain,
! [X2,X0,X1] : true = ifeq(r(X0,X1,X2),true,ifeq(true,true,r(v(b,a,b,X0),v(a,a,a,X1),v(a,b,a,X2)),true),true),
inference(superposition,[],[f334,f22]) ).
fof(f12043,plain,
! [X2,X0,X1] : true = ifeq(r(X0,X1,X2),true,ifeq(true,true,r(v(b,a,a,X0),v(a,a,b,X1),v(a,b,a,X2)),true),true),
inference(superposition,[],[f334,f20]) ).
fof(f12081,plain,
! [X2,X0,X1] : true = ifeq(r(X0,X1,X2),true,r(v(b,a,a,X0),v(a,a,b,X1),v(a,b,a,X2)),true),
inference(forward_demodulation,[],[f12043,f1]) ).
fof(f12082,plain,
! [X2,X0,X1] : true = ifeq(r(X0,X1,X2),true,r(v(b,a,b,X0),v(a,a,a,X1),v(a,b,a,X2)),true),
inference(forward_demodulation,[],[f12042,f1]) ).
fof(f12243,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(r(X0,X1,X2),true,r(v(b,a,X0,a),v(a,b,X1,a),v(a,a,X2,b)),true),true),
inference(superposition,[],[f335,f18]) ).
fof(f12307,plain,
! [X2,X0,X1] : true = ifeq(r(X0,X1,X2),true,r(v(b,a,X0,a),v(a,b,X1,a),v(a,a,X2,b)),true),
inference(forward_demodulation,[],[f12243,f1]) ).
fof(f13533,plain,
! [X2,X3,X0,X1] : true = ifeq(r(a,X0,X1),true,ifeq(r(a,X2,X3),true,r(a,v(a,X2,X0,a),v(b,X3,X1,b)),true),true),
inference(superposition,[],[f291,f5]) ).
fof(f29820,plain,
! [X2,X0,X1] : true = ifeq(r(b,X1,X2),true,ifeq(r(X0,X1,X2),true,r(X0,a,a),true),true),
inference(superposition,[],[f4098,f3]) ).
fof(f43540,plain,
! [X0,X1] : true = ifeq(r(a,X0,X1),true,ifeq(true,true,r(a,v(a,a,X0,a),v(b,b,X1,b)),true),true),
inference(superposition,[],[f13533,f18]) ).
fof(f43568,plain,
! [X0,X1] : true = ifeq(r(a,X0,X1),true,r(a,v(a,a,X0,a),v(b,b,X1,b)),true),
inference(forward_demodulation,[],[f43540,f1]) ).
fof(f43607,plain,
true = ifeq(true,true,r(a,v(a,a,b,a),v(b,b,a,b)),true),
inference(superposition,[],[f43568,f20]) ).
fof(f43638,plain,
true = r(a,v(a,a,b,a),v(b,b,a,b)),
inference(forward_demodulation,[],[f43607,f1]) ).
fof(f43652,plain,
true = r(a,v(a,a,b,a),v(b,a,b,b)),
inference(forward_demodulation,[],[f43638,f8]) ).
fof(f43666,plain,
true = r(a,v(a,a,b,a),v(a,b,b,b)),
inference(forward_demodulation,[],[f43652,f9]) ).
fof(f43678,plain,
true = r(a,v(a,a,b,a),v(a,a,a,b)),
inference(forward_demodulation,[],[f43666,f3439]) ).
fof(f43683,plain,
true = r(a,v(a,a,a,b),v(a,a,a,b)),
inference(forward_demodulation,[],[f43678,f7]) ).
fof(f61454,plain,
true = r(v(a,a,a,b),v(a,a,a,b),a),
inference(superposition,[],[f1746,f3439]) ).
fof(f153754,plain,
true = ifeq(true,true,r(v(b,a,a,a),v(a,a,b,a),v(a,b,a,b)),true),
inference(superposition,[],[f12081,f18]) ).
fof(f153804,plain,
true = r(v(b,a,a,a),v(a,a,b,a),v(a,b,a,b)),
inference(forward_demodulation,[],[f153754,f1]) ).
fof(f153886,plain,
true = r(v(b,a,a,a),v(a,a,a,b),v(a,b,a,b)),
inference(forward_demodulation,[],[f153804,f7]) ).
fof(f153956,plain,
true = r(v(a,b,a,a),v(a,a,a,b),v(a,b,a,b)),
inference(forward_demodulation,[],[f153886,f9]) ).
fof(f154020,plain,
true = r(v(a,a,b,a),v(a,a,a,b),v(a,b,a,b)),
inference(forward_demodulation,[],[f153956,f8]) ).
fof(f154070,plain,
true = r(v(a,a,a,b),v(a,a,a,b),v(a,b,a,b)),
inference(forward_demodulation,[],[f154020,f7]) ).
fof(f154668,plain,
true = ifeq(true,true,ifeq(r(v(a,a,a,b),v(a,a,a,b),a),true,r(b,a,v(a,b,a,b)),true),true),
inference(superposition,[],[f7645,f154070]) ).
fof(f154717,plain,
true = ifeq(r(v(a,a,a,b),v(a,a,a,b),a),true,r(b,a,v(a,b,a,b)),true),
inference(forward_demodulation,[],[f154668,f1]) ).
fof(f155278,plain,
true = ifeq(true,true,r(b,a,v(a,b,a,b)),true),
inference(forward_demodulation,[],[f154717,f61454]) ).
fof(f155302,plain,
true = r(b,a,v(a,b,a,b)),
inference(forward_demodulation,[],[f155278,f1]) ).
fof(f199724,plain,
true = ifeq(true,true,r(v(b,a,b,a),v(a,b,a,a),v(a,a,a,b)),true),
inference(superposition,[],[f12307,f22]) ).
fof(f199797,plain,
true = r(v(b,a,b,a),v(a,b,a,a),v(a,a,a,b)),
inference(forward_demodulation,[],[f199724,f1]) ).
fof(f199898,plain,
true = r(v(b,a,b,a),v(a,a,b,a),v(a,a,a,b)),
inference(forward_demodulation,[],[f199797,f8]) ).
fof(f199982,plain,
true = r(v(b,a,b,a),v(a,a,a,b),v(a,a,a,b)),
inference(forward_demodulation,[],[f199898,f7]) ).
fof(f200656,plain,
true = ifeq(r(a,v(a,a,a,b),v(a,a,a,b)),true,ifeq(true,true,r(v(b,a,b,a),a,b),true),true),
inference(superposition,[],[f4615,f199982]) ).
fof(f200851,plain,
true = ifeq(r(a,v(a,a,a,b),v(a,a,a,b)),true,r(v(b,a,b,a),a,b),true),
inference(forward_demodulation,[],[f200656,f1]) ).
fof(f201340,plain,
true = ifeq(true,true,r(v(b,a,b,a),a,b),true),
inference(forward_demodulation,[],[f200851,f43683]) ).
fof(f201363,plain,
true = r(v(b,a,b,a),a,b),
inference(forward_demodulation,[],[f201340,f1]) ).
fof(f255988,plain,
true = ifeq(true,true,r(v(b,a,b,a),v(a,a,a,a),v(a,b,a,b)),true),
inference(superposition,[],[f12082,f18]) ).
fof(f256071,plain,
true = r(v(b,a,b,a),v(a,a,a,a),v(a,b,a,b)),
inference(forward_demodulation,[],[f255988,f1]) ).
fof(f256202,plain,
true = r(v(b,a,b,a),a,v(a,b,a,b)),
inference(forward_demodulation,[],[f256071,f5]) ).
fof(f257028,plain,
true = ifeq(r(v(b,a,b,a),a,b),true,ifeq(true,true,r(a,a,v(a,b,a,b)),true),true),
inference(superposition,[],[f9845,f256202]) ).
fof(f257071,plain,
true = ifeq(r(v(b,a,b,a),a,b),true,r(a,a,v(a,b,a,b)),true),
inference(forward_demodulation,[],[f257028,f1]) ).
fof(f257721,plain,
true = ifeq(true,true,r(a,a,v(a,b,a,b)),true),
inference(forward_demodulation,[],[f257071,f201363]) ).
fof(f257787,plain,
true = r(a,a,v(a,b,a,b)),
inference(forward_demodulation,[],[f257721,f1]) ).
fof(f258652,plain,
true = ifeq(r(b,a,v(a,b,a,b)),true,ifeq(true,true,r(a,a,a),true),true),
inference(superposition,[],[f29820,f257787]) ).
fof(f258655,plain,
true = ifeq(r(b,a,v(a,b,a,b)),true,r(a,a,a),true),
inference(forward_demodulation,[],[f258652,f1]) ).
fof(f259473,plain,
true = ifeq(true,true,r(a,a,a),true),
inference(forward_demodulation,[],[f258655,f155302]) ).
fof(f259605,plain,
true = r(a,a,a),
inference(forward_demodulation,[],[f259473,f1]) ).
fof(f259659,plain,
$false,
inference(forward_subsumption_resolution,[],[f259605,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG441-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 % Computer : n008.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Mon Sep 28 20:24:54 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.26 Running first-order theorem proving
% 0.09/0.26 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
% 77.84/11.62 % (2586963)Detected a unit-equality problem, will run specialized UEQ schedule.
% 77.84/11.62 % (2586970)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1046662883:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 77.84/11.62 % (2586973)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=867732285:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 77.84/11.62 % (2586969)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=3877177340:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 77.84/11.62 % (2586971)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=134881916:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 77.84/11.62 % (2586968)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=3012371790:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 77.84/11.62 % (2586972)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2070086398:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 77.84/11.62 % (2586974)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2711811162:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 77.84/11.62 % (2586971)Instruction limit reached!
% 77.84/11.62 % (2586971)------------------------------
% 77.84/11.62 % (2586971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.84/11.62 % (2586971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.84/11.62 % (2586971)CaDiCaL version: 2.1.3
% 77.84/11.62 % (2586971)Termination reason: Instruction limit
% 77.84/11.62 % (2586971)Termination phase: Saturation
% 77.84/11.62 % (2586971)Time elapsed: 0.075 s
% 77.84/11.62 % (2586971)Peak memory usage: 89 MB
% 77.84/11.62 % (2586971)Instructions burned: 136 (million)
% 77.84/11.62 % (2586972)Instruction limit reached!
% 77.84/11.62 % (2586972)------------------------------
% 77.84/11.62 % (2586972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.84/11.62 % (2586972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.84/11.62 % (2586972)CaDiCaL version: 2.1.3
% 77.84/11.62 % (2586972)Termination reason: Instruction limit
% 77.84/11.62 % (2586972)Termination phase: Saturation
% 77.84/11.62 % (2586972)Time elapsed: 0.093 s
% 77.84/11.62 % (2586972)Peak memory usage: 89 MB
% 77.84/11.62 % (2586972)Instructions burned: 181 (million)
% 77.84/11.62 % (2586973)Instruction limit reached!
% 77.84/11.62 % (2586973)------------------------------
% 77.84/11.62 % (2586973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.84/11.62 % (2586973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.84/11.62 % (2586973)CaDiCaL version: 2.1.3
% 77.84/11.62 % (2586973)Termination reason: Instruction limit
% 77.84/11.62 % (2586973)Termination phase: Saturation
% 77.84/11.62 % (2586973)Time elapsed: 0.151 s
% 77.84/11.62 % (2586973)Peak memory usage: 92 MB
% 77.84/11.62 % (2586973)Instructions burned: 258 (million)
% 77.84/11.62 % (2586982)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1885636762:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 77.84/11.62 % (2586983)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1595734412:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 77.84/11.62 % (2586984)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1946995717:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 77.84/11.62 % (2586984)Instruction limit reached!
% 77.84/11.62 % (2586984)------------------------------
% 77.84/11.62 % (2586984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.84/11.62 % (2586984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.84/11.62 % (2586984)CaDiCaL version: 2.1.3
% 77.84/11.62 % (2586984)Termination reason: Instruction limit
% 77.84/11.62 % (2586984)Termination phase: Saturation
% 77.84/11.62 % (2586984)Time elapsed: 0.114 s
% 128.25/18.88 % (2586984)Peak memory usage: 90 MB
% 128.25/18.88 % (2586984)Instructions burned: 215 (million)
% 128.25/18.88 % (2586988)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=2307812188:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 128.25/18.88 % (2586974)Instruction limit reached!
% 128.25/18.88 % (2586974)------------------------------
% 128.25/18.88 % (2586974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.25/18.88 % (2586974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.25/18.88 % (2586974)CaDiCaL version: 2.1.3
% 128.25/18.88 % (2586974)Termination reason: Instruction limit
% 128.25/18.88 % (2586974)Termination phase: Saturation
% 128.25/18.88 % (2586974)Time elapsed: 0.553 s
% 128.25/18.88 % (2586974)Peak memory usage: 101 MB
% 128.25/18.88 % (2586974)Instructions burned: 1188 (million)
% 128.25/18.88 % (2586990)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=2855658918:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 128.25/18.88 % (2586988)Instruction limit reached!
% 128.25/18.88 % (2586988)------------------------------
% 128.25/18.88 % (2586988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.25/18.88 % (2586988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.25/18.88 % (2586988)CaDiCaL version: 2.1.3
% 128.25/18.88 % (2586988)Termination reason: Instruction limit
% 128.25/18.88 % (2586988)Termination phase: Saturation
% 128.25/18.88 % (2586988)Time elapsed: 0.175 s
% 128.25/18.88 % (2586988)Peak memory usage: 93 MB
% 128.25/18.88 % (2586988)Instructions burned: 318 (million)
% 128.25/18.88 % (2586992)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=981191845:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 128.25/18.88 % (2586982)Instruction limit reached!
% 128.25/18.88 % (2586982)------------------------------
% 128.25/18.88 % (2586982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.25/18.88 % (2586982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.25/18.88 % (2586982)CaDiCaL version: 2.1.3
% 128.25/18.88 % (2586982)Termination reason: Instruction limit
% 128.25/18.88 % (2586982)Termination phase: Saturation
% 128.25/18.88 % (2586982)Time elapsed: 1.232 s
% 128.25/18.88 % (2586982)Peak memory usage: 141 MB
% 128.25/18.88 % (2586982)Instructions burned: 2052 (million)
% 128.25/18.88 % (2586994)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1701767703:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2984 on theBenchmark for (2984ds/14534Mi)
% 128.25/18.88 % (2586992)Instruction limit reached!
% 128.25/18.88 % (2586992)------------------------------
% 128.25/18.88 % (2586992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.25/18.88 % (2586992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.25/18.88 % (2586992)CaDiCaL version: 2.1.3
% 128.25/18.88 % (2586992)Termination reason: Instruction limit
% 128.25/18.88 % (2586992)Termination phase: Saturation
% 128.25/18.88 % (2586992)Time elapsed: 1.487 s
% 128.25/18.88 % (2586992)Peak memory usage: 124 MB
% 128.25/18.88 % (2586992)Instructions burned: 2836 (million)
% 128.25/18.88 % (2586996)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=3460570280:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2975 on theBenchmark for (2975ds/11832Mi)
% 128.25/18.88 % (2586983)Instruction limit reached!
% 128.25/18.88 % (2586983)------------------------------
% 128.25/18.88 % (2586983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.25/18.88 % (2586983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.25/18.88 % (2586983)CaDiCaL version: 2.1.3
% 128.25/18.88 % (2586983)Termination reason: Instruction limit
% 128.25/18.88 % (2586983)Termination phase: Saturation
% 128.25/18.88 % (2586983)Time elapsed: 2.729 s
% 128.25/18.88 % (2586983)Peak memory usage: 169 MB
% 128.25/18.88 % (2586983)Instructions burned: 4948 (million)
% 128.25/18.88 % (2586998)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=3075475800:i=2279:fgj=on:bd=all_2969 on theBenchmark for (2969ds/2279Mi)
% 128.25/18.88 % (2586998)Instruction limit reached!
% 128.25/18.88 % (2586998)------------------------------
% 207.36/29.93 % (2586998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 207.36/29.93 % (2586998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 207.36/29.93 % (2586998)CaDiCaL version: 2.1.3
% 207.36/29.93 % (2586998)Termination reason: Instruction limit
% 207.36/29.93 % (2586998)Termination phase: Saturation
% 207.36/29.93 % (2586998)Time elapsed: 1.335 s
% 207.36/29.93 % (2586998)Peak memory usage: 142 MB
% 207.36/29.93 % (2586998)Instructions burned: 2280 (million)
% 207.36/29.93 % (2587000)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:drc=off:fde=none:sp=reverse_arity:urr=ec_only:gs=on:s2agt=16:random_seed=2861695483:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2954 on theBenchmark for (2954ds/6225Mi)
% 207.36/29.93 % (2586990)Instruction limit reached!
% 207.36/29.93 % (2586990)------------------------------
% 207.36/29.93 % (2586990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 207.36/29.93 % (2586990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 207.36/29.93 % (2586990)CaDiCaL version: 2.1.3
% 207.36/29.93 % (2586990)Termination reason: Instruction limit
% 207.36/29.93 % (2586990)Termination phase: Saturation
% 207.36/29.93 % (2586990)Time elapsed: 6.443 s
% 207.36/29.93 % (2586990)Peak memory usage: 241 MB
% 207.36/29.93 % (2586990)Instructions burned: 12125 (million)
% 207.36/29.93 % (2587002)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=2941018276:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2927 on theBenchmark for (2927ds/21755Mi)
% 207.36/29.93 % (2587000)Instruction limit reached!
% 207.36/29.93 % (2587000)------------------------------
% 207.36/29.93 % (2587000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 207.36/29.93 % (2587000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 207.36/29.93 % (2587000)CaDiCaL version: 2.1.3
% 207.36/29.93 % (2587000)Termination reason: Instruction limit
% 207.36/29.93 % (2587000)Termination phase: Saturation
% 207.36/29.93 % (2587000)Time elapsed: 3.403 s
% 207.36/29.93 % (2587000)Peak memory usage: 175 MB
% 207.36/29.93 % (2587000)Instructions burned: 6226 (million)
% 207.36/29.93 % (2587004)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=1840480896:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2919 on theBenchmark for (2919ds/16427Mi)
% 207.36/29.93 % (2586996)Instruction limit reached!
% 207.36/29.93 % (2586996)------------------------------
% 207.36/29.93 % (2586996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 207.36/29.93 % (2586996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 207.36/29.93 % (2586996)CaDiCaL version: 2.1.3
% 207.36/29.93 % (2586996)Termination reason: Instruction limit
% 207.36/29.93 % (2586996)Termination phase: Saturation
% 207.36/29.93 % (2586996)Time elapsed: 6.699 s
% 207.36/29.93 % (2586996)Peak memory usage: 222 MB
% 207.36/29.93 % (2586996)Instructions burned: 11832 (million)
% 207.36/29.93 % (2587006)lrs+1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:drc=off:fde=none:sp=const_frequency:spb=goal:fd=preordered:random_seed=3834056346:i=9356:fgj=on:bd=preordered:av=off_2907 on theBenchmark for (2907ds/9356Mi)
% 207.36/29.93 % (2586994)Instruction limit reached!
% 207.36/29.93 % (2586994)------------------------------
% 207.36/29.93 % (2586994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 207.36/29.93 % (2586994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 207.36/29.93 % (2586994)CaDiCaL version: 2.1.3
% 207.36/29.93 % (2586994)Termination reason: Instruction limit
% 207.36/29.93 % (2586994)Termination phase: Saturation
% 207.36/29.93 % (2586994)Time elapsed: 8.073 s
% 207.36/29.93 % (2586994)Peak memory usage: 248 MB
% 207.36/29.93 % (2586994)Instructions burned: 14535 (million)
% 207.36/29.93 % (2587008)dis+10_6_sil=8000:tgt=ground:prc=on:drc=ordering:spb=non_intro:fd=preordered:foolp=on:slsqc=1:slsq=on:random_seed=3980207689:i=2070:kws=inv_precedence:slsql=off:bd=all_2901 on theBenchmark for (2901ds/2070Mi)
% 207.36/29.93 % (2587008)Instruction limit reached!
% 207.36/29.93 % (2587008)------------------------------
% 207.36/29.93 % (2587008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 207.36/29.93 % (2587008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 207.36/29.93 % (2587008)CaDiCaL version: 2.1.3
% 207.36/29.93 % (2587008)Termination reason: Instruction limit
% 207.36/29.93 % (2587008)Termination phase: Saturation
% 158.25/33.23 % (2587008)Time elapsed: 0.996 s
% 158.25/33.23 % (2587008)Peak memory usage: 125 MB
% 158.25/33.23 % (2587008)Instructions burned: 2070 (million)
% 158.25/33.23 % (2587010)lrs+1002_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=8000:tgt=ground:npcc=on:fde=unused:sp=const_min:urr=ec_only:s2agt=32:random_seed=3100818962:st=3:i=6461:fgj=on:bd=preordered:av=off:ss=axioms_2890 on theBenchmark for (2890ds/6461Mi)
% 158.25/33.23 % (2587010)Instruction limit reached!
% 158.25/33.23 % (2587010)------------------------------
% 158.25/33.23 % (2587010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 158.25/33.23 % (2587010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 158.25/33.23 % (2587010)CaDiCaL version: 2.1.3
% 158.25/33.23 % (2587010)Termination reason: Instruction limit
% 158.25/33.23 % (2587010)Termination phase: Saturation
% 158.25/33.23 % (2587010)Time elapsed: 3.554 s
% 158.25/33.23 % (2587010)Peak memory usage: 183 MB
% 158.25/33.23 % (2587010)Instructions burned: 6462 (million)
% 158.25/33.23 % (2587006)Instruction limit reached!
% 158.25/33.23 % (2587006)------------------------------
% 158.25/33.23 % (2587006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 158.25/33.23 % (2587006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 158.25/33.23 % (2587006)CaDiCaL version: 2.1.3
% 158.25/33.23 % (2587006)Termination reason: Instruction limit
% 158.25/33.23 % (2587006)Termination phase: Saturation
% 158.25/33.23 % (2587006)Time elapsed: 5.249 s
% 158.25/33.23 % (2587006)Peak memory usage: 204 MB
% 158.25/33.23 % (2587006)Instructions burned: 9356 (million)
% 158.25/33.23 % (2587164)lrs+10_6_to=lpo:lpd=off:sil=8000:tgt=ground:drc=off:sp=arity:spb=goal:fd=preordered:random_seed=3134667841:i=2310:bd=all:ss=included_2853 on theBenchmark for (2853ds/2310Mi)
% 158.25/33.23 % (2587165)dis+11_1_sil=8000:fd=off:nwc=20:random_seed=328480426:st=3:s2pl=on:i=2616:av=off:fsr=off:ss=axioms:sgt=8_2853 on theBenchmark for (2853ds/2616Mi)
% 158.25/33.23 % (2587164)Instruction limit reached!
% 158.25/33.23 % (2587164)------------------------------
% 158.25/33.23 % (2587164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 158.25/33.23 % (2587164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 158.25/33.23 % (2587164)CaDiCaL version: 2.1.3
% 158.25/33.23 % (2587164)Termination reason: Instruction limit
% 158.25/33.23 % (2587164)Termination phase: Saturation
% 158.25/33.23 % (2587164)Time elapsed: 1.193 s
% 158.25/33.23 % (2587164)Peak memory usage: 120 MB
% 158.25/33.23 % (2587164)Instructions burned: 2311 (million)
% 158.25/33.23 % (2587168)lrs+0_1_ncem=casc2026/models/loop3.pt:sil=32000:tgt=ground:npcc=on:sp=occurrence:urr=ec_only:fd=preordered:random_seed=3319112834:i=30521:gtgl=2:kws=inv_arity:bd=all:gtg=exists_sym_2840 on theBenchmark for (2840ds/30521Mi)
% 158.25/33.23 % (2587165)Instruction limit reached!
% 158.25/33.23 % (2587165)------------------------------
% 158.25/33.23 % (2587165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 158.25/33.23 % (2587165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 158.25/33.23 % (2587165)CaDiCaL version: 2.1.3
% 158.25/33.23 % (2587165)Termination reason: Instruction limit
% 158.25/33.23 % (2587165)Termination phase: Saturation
% 158.25/33.23 % (2587165)Time elapsed: 1.378 s
% 158.25/33.23 % (2587165)Peak memory usage: 121 MB
% 158.25/33.23 % (2587165)Instructions burned: 2616 (million)
% 158.25/33.23 % (2587170)lrs+11_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=16000:tgt=full:npcc=on:prc=on:fde=unused:sp=reverse_frequency:spb=goal:acc=on:urr=ec_only:s2agt=32:random_seed=3039459367:i=3258:fgj=on:bd=all:ins=1_2838 on theBenchmark for (2838ds/3258Mi)
% 158.25/33.23 % (2587004)Instruction limit reached!
% 158.25/33.23 % (2587004)------------------------------
% 158.25/33.23 % (2587004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 158.25/33.23 % (2587004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 158.25/33.23 % (2587004)CaDiCaL version: 2.1.3
% 158.25/33.23 % (2587004)Termination reason: Instruction limit
% 158.25/33.23 % (2587004)Termination phase: Saturation
% 158.25/33.23 % (2587004)Time elapsed: 9.129 s
% 158.25/33.23 % (2587004)Peak memory usage: 259 MB
% 158.25/33.23 % (2587004)Instructions burned: 16427 (million)
% 158.25/33.23 % (2587172)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:sp=reverse_frequency:kmz=on:random_seed=3224554552:i=5037:kws=precedence_2826 on theBenchmark for (2826ds/5037Mi)
% 158.25/33.23 % (2587170)Instruction limit reached!
% 158.25/33.23 % (2587170)------------------------------
% 158.25/33.23 % (2587170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 158.25/33.23 % (2587170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 158.25/33.23 % (2587170)CaDiCaL version: 2.1.3
% 158.25/33.23 % (2587170)Termination reason: Instruction limit
% 158.25/33.23 % (2587170)Termination phase: Saturation
% 158.25/33.23 % (2587170)Time elapsed: 1.857 s
% 158.25/33.23 % (2587170)Peak memory usage: 152 MB
% 158.25/33.23 % (2587170)Instructions burned: 3260 (million)
% 158.25/33.23 % (2587174)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:acc=on:urr=on:bsr=unit_only:br=off:random_seed=2155277189:i=65240_2818 on theBenchmark for (2818ds/65240Mi)
% 158.25/33.23 % (2587002)Instruction limit reached!
% 158.25/33.23 % (2587002)------------------------------
% 158.25/33.23 % (2587002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 158.25/33.23 % (2587002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 158.25/33.23 % (2587002)CaDiCaL version: 2.1.3
% 158.25/33.23 % (2587002)Termination reason: Instruction limit
% 158.25/33.23 % (2587002)Termination phase: Saturation
% 158.25/33.23 % (2587002)Time elapsed: 12.269 s
% 158.25/33.23 % (2587002)Peak memory usage: 261 MB
% 158.25/33.23 % (2587002)Instructions burned: 21755 (million)
% 158.25/33.23 % (2587176)lrs-1011_1_ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:fde=unused:sp=weighted_frequency:urr=ec_only:random_seed=1697344719:i=16502:kws=inv_precedence:fgj=on:bd=preordered:ins=3:av=off_2802 on theBenchmark for (2802ds/16502Mi)
% 158.25/33.23 % (2587172)Instruction limit reached!
% 158.25/33.23 % (2587172)------------------------------
% 158.25/33.23 % (2587172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 158.25/33.23 % (2587172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 158.25/33.23 % (2587172)CaDiCaL version: 2.1.3
% 158.25/33.23 % (2587172)Termination reason: Instruction limit
% 158.25/33.23 % (2587172)Termination phase: Saturation
% 158.25/33.23 % (2587172)Time elapsed: 2.798 s
% 158.25/33.23 % (2587172)Peak memory usage: 167 MB
% 158.25/33.23 % (2587172)Instructions burned: 5038 (million)
% 158.25/33.23 % (2587178)lrs-1011_1_to=lpo:ncem=casc2026/models/loop2.pt:sil=32000:npcc=on:drc=off:sp=const_max:spb=goal_then_units:urr=ec_only:fd=preordered:random_seed=2004958429:i=7623:bd=preordered:er=filter_2796 on theBenchmark for (2796ds/7623Mi)
% 158.25/33.23 % (2587178)Instruction limit reached!
% 158.25/33.23 % (2587178)------------------------------
% 158.25/33.23 % (2587178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 158.25/33.23 % (2587178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 158.25/33.23 % (2587178)CaDiCaL version: 2.1.3
% 158.25/33.23 % (2587178)Termination reason: Instruction limit
% 158.25/33.23 % (2587178)Termination phase: Saturation
% 158.25/33.23 % (2587178)Time elapsed: 4.200 s
% 158.25/33.23 % (2587178)Peak memory usage: 195 MB
% 158.25/33.23 % (2587178)Instructions burned: 7624 (million)
% 158.25/33.23 % (2587180)dis+1010_1_anc=none:ncem=casc2026/models/loop3.pt:sil=16000:tgt=full:npcc=on:sp=const_min:spb=non_intro:lcm=predicate:acc=on:urr=ec_only:rp=on:gs=on:random_seed=410595999:i=8183:kws=frequency:add=off:gsp=on_2753 on theBenchmark for (2753ds/8183Mi)
% 158.25/33.23 % (2587176)Instruction limit reached!
% 158.25/33.23 % (2587176)------------------------------
% 158.25/33.23 % (2587176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 158.25/33.23 % (2587176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 158.25/33.23 % (2587176)CaDiCaL version: 2.1.3
% 158.25/33.23 % (2587176)Termination reason: Instruction limit
% 158.25/33.23 % (2587176)Termination phase: Saturation
% 158.25/33.23 % (2587176)Time elapsed: 8.948 s
% 158.25/33.23 % (2587176)Peak memory usage: 269 MB
% 158.25/33.23 % (2587176)Instructions burned: 16503 (million)
% 158.25/33.23 % (2587314)lrs-1011_1_anc=all_dependent:ncem=casc2026/models/loop4.pt:sil=32000:npcc=on:bsr=unit_only:random_seed=1984738099:i=8387_2711 on theBenchmark for (2711ds/8387Mi)
% 158.25/33.23 % (2587180)Instruction limit reached!
% 158.25/33.23 % (2587180)------------------------------
% 158.25/33.23 % (2587180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 158.25/33.23 % (2587180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 158.25/33.23 % (2587180)CaDiCaL version: 2.1.3
% 158.25/33.23 % (2587180)Termination reason: Instruction limit
% 158.25/33.23 % (2587180)Termination phase: Saturation
% 158.25/33.23 % (2587180)Time elapsed: 4.436 s
% 158.25/33.23 % (2587180)Peak memory usage: 193 MB
% 158.25/33.23 % (2587180)Instructions burned: 8184 (million)
% 158.25/33.23 % (2587363)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=4017206516:i=53964:kws=inv_arity_squared:fgj=on:bd=preordered_2707 on theBenchmark for (2707ds/53964Mi)
% 158.25/33.23 % (2586969)First to succeed.
% 158.25/33.23 % (2586969)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2586963"
% 158.25/33.23 % (2586969)Refutation found. Thanks to Tanya!
% 158.25/33.23 % SZS status Unsatisfiable for theBenchmark
% 158.25/33.23 % SZS output start Proof for theBenchmark
% See solution above
% 231.01/33.33 % (2586969)------------------------------
% 231.01/33.33 % (2586969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 231.01/33.33 % (2586969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 231.01/33.33 % (2586969)CaDiCaL version: 2.1.3
% 231.01/33.33 % (2586969)Termination reason: Refutation
% 231.01/33.33 % (2586969)Time elapsed: 31.945 s
% 231.01/33.33 % (2586969)Peak memory usage: 709 MB
% 231.01/33.33 % (2586969)Instructions burned: 60885 (million)
% 231.01/33.33 % (2586969)------------------------------
% 231.01/33.33 % (2586969)------------------------------
% 231.01/33.33 % (2586963)Success in time 32.542 s
% 231.01/33.33 % Vampire exiting
%------------------------------------------------------------------------------