%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP707-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 10:16:00 AM UTC 2026
% Result : Unsatisfiable 2.68s 2.04s
% Output : Refutation 8.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 14
% Syntax : Number of formulae : 122 ( 122 unt; 4 def)
% Number of atoms : 122 ( 121 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 162 ( 162 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(mult(X0,X1),X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).
fof(f8,axiom,
! [X0] : mult(X0,mult(X0,mult(X0,X0))) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c08) ).
fof(f9,plain,
! [X0] : unit = mult(X0,mult(X0,mult(X0,X0))),
inference(reorient_equations,[],[f8]) ).
fof(f10,axiom,
! [X0,X1] : mult(mult(X0,X0),X1) = mult(X1,mult(X0,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c09) ).
fof(f11,negated_conjecture,
mult(mult(a,b),a) != mult(a,mult(b,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f12,definition,
sF0 = mult(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f13,plain,
mult(a,b) = sF0,
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
sF1 = mult(sF0,a),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f15,plain,
mult(sF0,a) = sF1,
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
sF2 = mult(b,a),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f17,plain,
mult(b,a) = sF2,
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF3 = mult(a,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f19,plain,
mult(a,sF2) = sF3,
inference(reorient_equations,[],[f18]) ).
fof(f20,plain,
sF1 != sF3,
inference(definition_folding,[],[f11,f19,f17,f15,f13]) ).
fof(f21,plain,
mult(mult(a,b),a) = sF1,
inference(forward_demodulation,[],[f15,f13]) ).
fof(f37,plain,
! [X0,X1] : rd(X1,ld(X0,X1)) = X0,
inference(superposition,[],[f4,f1]) ).
fof(f44,plain,
mult(a,b) = rd(sF1,a),
inference(superposition,[],[f4,f21]) ).
fof(f64,plain,
! [X0] : mult(X0,mult(X0,X0)) = ld(X0,unit),
inference(superposition,[],[f2,f9]) ).
fof(f85,plain,
! [X0,X1] : mult(mult(X1,X1),rd(X0,mult(X1,X1))) = X0,
inference(superposition,[],[f10,f3]) ).
fof(f86,plain,
! [X0,X1] : mult(X0,X0) = rd(mult(X1,mult(X0,X0)),X1),
inference(superposition,[],[f4,f10]) ).
fof(f88,plain,
! [X0,X1] : rd(mult(mult(X0,X0),X1),mult(X0,X0)) = X1,
inference(superposition,[],[f4,f10]) ).
fof(f96,plain,
! [X0,X1] : rd(X0,mult(X1,X1)) = ld(mult(X1,X1),X0),
inference(superposition,[],[f2,f85]) ).
fof(f102,plain,
! [X0] : mult(X0,X0) = rd(ld(X0,unit),X0),
inference(superposition,[],[f86,f64]) ).
fof(f165,plain,
! [X0,X1] : mult(mult(X0,X0),X1) = mult(unit,mult(X0,mult(X0,X1))),
inference(superposition,[],[f7,f6]) ).
fof(f168,plain,
! [X0,X1] : mult(X0,mult(X0,mult(X0,X1))) = mult(mult(X0,mult(X0,X0)),X1),
inference(superposition,[],[f7,f10]) ).
fof(f169,plain,
! [X2,X0,X1] : mult(mult(X1,X0),mult(X0,mult(X0,X2))) = mult(mult(X1,mult(X0,mult(X0,X0))),X2),
inference(superposition,[],[f7,f7]) ).
fof(f171,plain,
! [X0,X1] : mult(mult(X0,X1),X1) = mult(X0,mult(X1,mult(X1,unit))),
inference(superposition,[],[f7,f5]) ).
fof(f189,plain,
! [X0,X1] : mult(mult(X0,X1),X1) = mult(X0,mult(X1,X1)),
inference(forward_demodulation,[],[f171,f5]) ).
fof(f190,plain,
! [X2,X0,X1] : mult(mult(X1,X0),mult(X0,mult(X0,X2))) = mult(mult(X1,ld(X0,unit)),X2),
inference(forward_demodulation,[],[f169,f64]) ).
fof(f191,plain,
! [X0,X1] : mult(X0,mult(X0,mult(X0,X1))) = mult(ld(X0,unit),X1),
inference(forward_demodulation,[],[f168,f64]) ).
fof(f192,plain,
! [X0,X1] : mult(mult(X0,X0),X1) = mult(X0,mult(X0,X1)),
inference(forward_demodulation,[],[f165,f6]) ).
fof(f196,plain,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(X0,mult(X1,X1)),X2),
inference(backward_demodulation,[],[f7,f189]) ).
fof(f212,plain,
! [X0,X1] : rd(mult(X0,mult(X0,X1)),mult(X0,X0)) = X1,
inference(backward_demodulation,[],[f88,f192]) ).
fof(f216,plain,
! [X0,X1] : mult(X1,mult(X1,rd(X0,mult(X1,X1)))) = X0,
inference(backward_demodulation,[],[f85,f192]) ).
fof(f234,plain,
! [X0,X1] : mult(X1,mult(mult(X0,X0),mult(X0,X0))) = mult(mult(mult(X0,X0),X1),mult(X0,X0)),
inference(superposition,[],[f189,f10]) ).
fof(f237,plain,
mult(sF1,a) = mult(mult(a,b),mult(a,a)),
inference(superposition,[],[f189,f21]) ).
fof(f241,plain,
mult(sF2,a) = mult(b,mult(a,a)),
inference(superposition,[],[f189,f17]) ).
fof(f243,plain,
! [X0,X1] : mult(X0,X1) = rd(mult(X0,mult(X1,X1)),X1),
inference(superposition,[],[f4,f189]) ).
fof(f253,plain,
! [X0,X1] : mult(X1,mult(mult(X0,X0),mult(X0,X0))) = mult(mult(X0,X0),mult(mult(X0,X0),X1)),
inference(forward_demodulation,[],[f234,f10]) ).
fof(f259,plain,
! [X0,X1] : mult(X1,mult(mult(X0,X0),mult(X0,X0))) = mult(X0,mult(X0,mult(mult(X0,X0),X1))),
inference(forward_demodulation,[],[f253,f192]) ).
fof(f260,plain,
! [X0,X1] : mult(X1,mult(mult(X0,X0),mult(X0,X0))) = mult(X0,mult(X0,mult(X0,mult(X0,X1)))),
inference(forward_demodulation,[],[f259,f192]) ).
fof(f261,plain,
! [X0,X1] : mult(X1,mult(mult(X0,X0),mult(X0,X0))) = mult(ld(X0,unit),mult(X0,X1)),
inference(forward_demodulation,[],[f260,f191]) ).
fof(f262,plain,
! [X0,X1] : mult(ld(X0,unit),mult(X0,X1)) = mult(X1,mult(X0,mult(X0,mult(X0,X0)))),
inference(forward_demodulation,[],[f261,f192]) ).
fof(f263,plain,
! [X0,X1] : mult(ld(X0,unit),mult(X0,X1)) = mult(X1,mult(ld(X0,unit),X0)),
inference(forward_demodulation,[],[f262,f191]) ).
fof(f271,plain,
mult(sF2,mult(a,a)) = mult(mult(b,mult(a,a)),a),
inference(superposition,[],[f189,f241]) ).
fof(f275,plain,
mult(sF2,mult(a,a)) = mult(b,mult(a,mult(a,a))),
inference(forward_demodulation,[],[f271,f196]) ).
fof(f276,plain,
mult(sF2,mult(a,a)) = mult(b,ld(a,unit)),
inference(forward_demodulation,[],[f275,f64]) ).
fof(f296,plain,
! [X0,X1] : mult(X1,mult(X0,X0)) = mult(X0,mult(X0,X1)),
inference(superposition,[],[f10,f192]) ).
fof(f331,plain,
! [X0,X1] : ld(X0,X1) = rd(mult(X0,X1),mult(X0,X0)),
inference(superposition,[],[f212,f1]) ).
fof(f332,plain,
! [X0] : mult(X0,X0) = rd(mult(X0,ld(X0,unit)),mult(X0,X0)),
inference(superposition,[],[f212,f64]) ).
fof(f350,plain,
! [X0] : mult(X0,X0) = rd(unit,mult(X0,X0)),
inference(forward_demodulation,[],[f332,f1]) ).
fof(f371,plain,
! [X0] : unit = mult(mult(X0,X0),mult(X0,X0)),
inference(superposition,[],[f3,f350]) ).
fof(f372,plain,
! [X0] : unit = mult(X0,mult(X0,mult(X0,X0))),
inference(forward_demodulation,[],[f371,f192]) ).
fof(f375,plain,
! [X0] : unit = mult(ld(X0,unit),X0),
inference(forward_demodulation,[],[f372,f191]) ).
fof(f381,plain,
! [X0,X1] : mult(X1,unit) = mult(ld(X0,unit),mult(X0,X1)),
inference(backward_demodulation,[],[f263,f375]) ).
fof(f382,plain,
! [X0,X1] : mult(ld(X0,unit),mult(X0,X1)) = X1,
inference(forward_demodulation,[],[f381,f5]) ).
fof(f392,plain,
! [X0] : ld(X0,unit) = rd(unit,X0),
inference(superposition,[],[f4,f375]) ).
fof(f399,plain,
! [X0] : mult(X0,X0) = rd(rd(unit,X0),X0),
inference(backward_demodulation,[],[f102,f392]) ).
fof(f400,plain,
! [X2,X0,X1] : mult(mult(X1,X0),mult(X0,mult(X0,X2))) = mult(mult(X1,rd(unit,X0)),X2),
inference(backward_demodulation,[],[f190,f392]) ).
fof(f405,plain,
! [X0,X1] : mult(rd(unit,X0),mult(X0,X1)) = X1,
inference(backward_demodulation,[],[f382,f392]) ).
fof(f409,plain,
mult(sF2,mult(a,a)) = mult(b,rd(unit,a)),
inference(backward_demodulation,[],[f276,f392]) ).
fof(f411,plain,
mult(a,mult(a,sF2)) = mult(b,rd(unit,a)),
inference(forward_demodulation,[],[f409,f296]) ).
fof(f415,plain,
mult(a,sF3) = mult(b,rd(unit,a)),
inference(forward_demodulation,[],[f411,f19]) ).
fof(f481,plain,
! [X0,X1] : ld(X0,X1) = mult(rd(unit,X0),X1),
inference(superposition,[],[f405,f1]) ).
fof(f497,plain,
! [X0,X1] : rd(unit,X0) = rd(X1,mult(X0,X1)),
inference(superposition,[],[f4,f405]) ).
fof(f498,plain,
! [X0,X1] : mult(X0,X1) = ld(rd(unit,X0),X1),
inference(superposition,[],[f2,f405]) ).
fof(f539,plain,
! [X0,X1] : mult(mult(X0,X0),X1) = ld(mult(X0,X0),X1),
inference(superposition,[],[f481,f350]) ).
fof(f554,plain,
! [X0,X1] : rd(unit,X0) = rd(ld(X0,X1),X1),
inference(superposition,[],[f4,f481]) ).
fof(f571,plain,
! [X0,X1] : mult(mult(X0,X0),X1) = rd(X1,mult(X0,X0)),
inference(forward_demodulation,[],[f539,f96]) ).
fof(f575,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = rd(X1,mult(X0,X0)),
inference(backward_demodulation,[],[f192,f571]) ).
fof(f576,plain,
! [X0,X1] : mult(X1,mult(X0,X0)) = rd(X1,mult(X0,X0)),
inference(backward_demodulation,[],[f10,f571]) ).
fof(f582,plain,
! [X0,X1] : mult(mult(X0,X1),X1) = rd(X0,mult(X1,X1)),
inference(backward_demodulation,[],[f189,f576]) ).
fof(f583,plain,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,X2))) = mult(rd(X0,mult(X1,X1)),X2),
inference(backward_demodulation,[],[f196,f576]) ).
fof(f595,plain,
! [X0,X1] : mult(X0,X1) = rd(rd(X0,mult(X1,X1)),X1),
inference(backward_demodulation,[],[f243,f576]) ).
fof(f605,plain,
mult(sF1,a) = rd(mult(a,b),mult(a,a)),
inference(backward_demodulation,[],[f237,f576]) ).
fof(f616,plain,
! [X2,X0,X1] : mult(mult(X1,rd(unit,X0)),X2) = mult(mult(X1,X0),rd(X2,mult(X0,X0))),
inference(backward_demodulation,[],[f400,f575]) ).
fof(f620,plain,
! [X0,X1] : rd(rd(X0,mult(X1,X1)),mult(X1,X1)) = X0,
inference(backward_demodulation,[],[f216,f575]) ).
fof(f627,plain,
mult(sF1,a) = ld(a,b),
inference(forward_demodulation,[],[f605,f331]) ).
fof(f645,plain,
! [X2,X0,X1] : mult(rd(X0,mult(X1,X1)),X2) = mult(X0,rd(X2,mult(X1,X1))),
inference(forward_demodulation,[],[f583,f575]) ).
fof(f678,plain,
a = ld(sF1,ld(a,b)),
inference(superposition,[],[f2,f627]) ).
fof(f725,plain,
! [X0,X1] : rd(unit,rd(X0,X1)) = rd(X1,X0),
inference(superposition,[],[f497,f3]) ).
fof(f731,plain,
rd(unit,sF1) = rd(a,ld(a,b)),
inference(superposition,[],[f497,f627]) ).
fof(f868,plain,
! [X2,X0,X1] : mult(rd(X0,X1),X2) = ld(rd(X1,X0),X2),
inference(superposition,[],[f498,f725]) ).
fof(f902,plain,
! [X0] : ld(sF1,X0) = mult(rd(a,ld(a,b)),X0),
inference(superposition,[],[f481,f731]) ).
fof(f1200,plain,
! [X0,X1] : rd(X1,mult(mult(X0,X1),mult(X0,X1))) = mult(mult(X0,X1),rd(X0,mult(X1,X1))),
inference(superposition,[],[f575,f582]) ).
fof(f1203,plain,
! [X0,X1] : rd(X1,mult(mult(X0,X1),mult(X0,X1))) = mult(mult(X0,rd(unit,X1)),X0),
inference(forward_demodulation,[],[f1200,f616]) ).
fof(f1616,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = rd(ld(X0,X1),X0),
inference(superposition,[],[f595,f331]) ).
fof(f1617,plain,
! [X0,X1] : rd(X0,X1) = mult(rd(X0,mult(X1,X1)),X1),
inference(superposition,[],[f595,f620]) ).
fof(f1634,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,rd(X1,mult(X1,X1))),
inference(forward_demodulation,[],[f1617,f645]) ).
fof(f1646,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,rd(unit,X1)),
inference(forward_demodulation,[],[f1634,f497]) ).
fof(f1652,plain,
! [X0,X1] : mult(rd(X0,X1),X0) = rd(X1,mult(mult(X0,X1),mult(X0,X1))),
inference(backward_demodulation,[],[f1203,f1646]) ).
fof(f1656,plain,
mult(a,sF3) = rd(b,a),
inference(backward_demodulation,[],[f415,f1646]) ).
fof(f1739,plain,
a = rd(rd(b,a),sF3),
inference(superposition,[],[f4,f1656]) ).
fof(f1780,plain,
! [X0,X1] : rd(X0,mult(rd(unit,X1),rd(unit,X1))) = mult(rd(X0,X1),rd(unit,X1)),
inference(superposition,[],[f582,f1646]) ).
fof(f1784,plain,
! [X0,X1] : rd(unit,X1) = ld(X0,rd(X0,X1)),
inference(superposition,[],[f2,f1646]) ).
fof(f1786,plain,
! [X0,X1] : rd(rd(unit,X0),X1) = ld(X0,rd(unit,X1)),
inference(superposition,[],[f481,f1646]) ).
fof(f1795,plain,
! [X0,X1] : rd(X0,mult(rd(unit,X1),rd(unit,X1))) = rd(rd(X0,X1),X1),
inference(forward_demodulation,[],[f1780,f1646]) ).
fof(f1858,plain,
! [X0,X1] : rd(rd(X0,X1),X1) = rd(X0,ld(X1,rd(unit,X1))),
inference(forward_demodulation,[],[f1795,f481]) ).
fof(f1919,plain,
! [X0,X1] : rd(rd(X0,X1),X1) = rd(X0,rd(rd(unit,X1),X1)),
inference(forward_demodulation,[],[f1858,f1786]) ).
fof(f1958,plain,
! [X0,X1] : rd(X0,mult(X1,X1)) = rd(rd(X0,X1),X1),
inference(forward_demodulation,[],[f1919,f399]) ).
fof(f2009,plain,
! [X0,X1] : mult(rd(X0,X1),X0) = rd(rd(X1,mult(X0,X1)),mult(X0,X1)),
inference(backward_demodulation,[],[f1652,f1958]) ).
fof(f2030,plain,
! [X0,X1] : mult(rd(X0,X1),X0) = rd(rd(unit,X0),mult(X0,X1)),
inference(forward_demodulation,[],[f2009,f497]) ).
fof(f2135,plain,
rd(unit,sF3) = ld(rd(b,a),a),
inference(superposition,[],[f1784,f1739]) ).
fof(f2139,plain,
rd(unit,a) = ld(sF1,mult(a,b)),
inference(superposition,[],[f1784,f44]) ).
fof(f2157,plain,
rd(unit,sF3) = mult(rd(a,b),a),
inference(forward_demodulation,[],[f2135,f868]) ).
fof(f2354,plain,
rd(unit,sF1) = rd(rd(unit,a),mult(a,b)),
inference(superposition,[],[f554,f2139]) ).
fof(f2357,plain,
rd(unit,sF1) = mult(rd(a,b),a),
inference(forward_demodulation,[],[f2354,f2030]) ).
fof(f2359,plain,
rd(a,ld(a,b)) = mult(rd(a,b),a),
inference(backward_demodulation,[],[f731,f2357]) ).
fof(f2363,plain,
! [X0] : ld(sF1,X0) = mult(mult(rd(a,b),a),X0),
inference(backward_demodulation,[],[f902,f2359]) ).
fof(f2368,plain,
! [X0] : mult(mult(rd(a,b),a),X0) = ld(sF3,X0),
inference(superposition,[],[f481,f2157]) ).
fof(f2376,plain,
! [X0] : ld(sF1,X0) = ld(sF3,X0),
inference(backward_demodulation,[],[f2363,f2368]) ).
fof(f2382,plain,
a = ld(sF3,ld(a,b)),
inference(backward_demodulation,[],[f678,f2376]) ).
fof(f2390,plain,
sF3 = rd(ld(a,b),a),
inference(superposition,[],[f37,f2382]) ).
fof(f2391,plain,
mult(mult(a,b),a) = sF3,
inference(forward_demodulation,[],[f2390,f1616]) ).
fof(f2394,plain,
sF1 = sF3,
inference(backward_demodulation,[],[f21,f2391]) ).
fof(f2395,plain,
$false,
inference(forward_subsumption_resolution,[],[f2394,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP707-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n026.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 10:39:41 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 2.68/2.03 % (2644002)Detected a unit-equality problem, will run specialized UEQ schedule.
% 2.68/2.03 % (2644011)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1126663053:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 2.68/2.03 % (2644013)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3934589880:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 2.68/2.03 % (2644009)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=871833907:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 2.68/2.03 % (2644008)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=383777448:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 2.68/2.03 % (2644007)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=2780588122:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 2.68/2.03 % (2644010)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2134542677:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 2.68/2.03 % (2644012)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1081749645:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 2.68/2.03 % (2644011)Instruction limit reached!
% 2.68/2.03 % (2644011)------------------------------
% 2.68/2.03 % (2644011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/2.03 % (2644011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/2.03 % (2644011)CaDiCaL version: 2.1.3
% 2.68/2.03 % (2644011)Termination reason: Instruction limit
% 2.68/2.03 % (2644011)Termination phase: Saturation
% 2.68/2.03 % (2644011)Time elapsed: 0.055 s
% 2.68/2.03 % (2644011)Peak memory usage: 89 MB
% 2.68/2.03 % (2644011)Instructions burned: 183 (million)
% 2.68/2.03 % (2644010)Instruction limit reached!
% 2.68/2.03 % (2644010)------------------------------
% 2.68/2.03 % (2644010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/2.03 % (2644010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/2.03 % (2644010)CaDiCaL version: 2.1.3
% 2.68/2.03 % (2644010)Termination reason: Instruction limit
% 2.68/2.03 % (2644010)Termination phase: Saturation
% 2.68/2.03 % (2644010)Time elapsed: 0.079 s
% 2.68/2.03 % (2644010)Peak memory usage: 88 MB
% 2.68/2.03 % (2644010)Instructions burned: 137 (million)
% 2.68/2.03 % (2644021)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2315325623:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 2.68/2.03 % (2644012)Instruction limit reached!
% 2.68/2.03 % (2644012)------------------------------
% 2.68/2.03 % (2644012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/2.03 % (2644012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/2.03 % (2644012)CaDiCaL version: 2.1.3
% 2.68/2.03 % (2644012)Termination reason: Instruction limit
% 2.68/2.03 % (2644012)Termination phase: Saturation
% 2.68/2.03 % (2644012)Time elapsed: 0.155 s
% 2.68/2.03 % (2644012)Peak memory usage: 89 MB
% 2.68/2.03 % (2644012)Instructions burned: 257 (million)
% 2.68/2.03 % (2644022)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1541560559:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 2.68/2.03 % (2644024)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3939949302:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 2.68/2.03 % (2644013)Instruction limit reached!
% 2.68/2.03 % (2644013)------------------------------
% 2.68/2.03 % (2644013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/2.03 % (2644013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/2.03 % (2644013)CaDiCaL version: 2.1.3
% 2.68/2.03 % (2644013)Termination reason: Instruction limit
% 2.68/2.03 % (2644013)Termination phase: Saturation
% 2.68/2.03 % (2644013)Time elapsed: 0.359 s
% 2.68/2.03 % (2644013)Peak memory usage: 99 MB
% 2.68/2.03 % (2644013)Instructions burned: 1190 (million)
% 2.68/2.03 % (2644024)Instruction limit reached!
% 2.68/2.03 % (2644024)------------------------------
% 2.68/2.03 % (2644024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/2.03 % (2644024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/2.03 % (2644024)CaDiCaL version: 2.1.3
% 2.68/2.03 % (2644024)Termination reason: Instruction limit
% 2.68/2.03 % (2644024)Termination phase: Saturation
% 2.68/2.03 % (2644024)Time elapsed: 0.119 s
% 2.68/2.03 % (2644024)Peak memory usage: 90 MB
% 2.68/2.03 % (2644024)Instructions burned: 215 (million)
% 2.68/2.03 % (2644027)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=4060798420: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)
% 2.68/2.03 % (2644028)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=2615036943:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2994 on theBenchmark for (2994ds/12125Mi)
% 2.68/2.04 % (2644027)Instruction limit reached!
% 2.68/2.04 % (2644027)------------------------------
% 2.68/2.04 % (2644027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.68/2.04 % (2644027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/2.04 % (2644027)CaDiCaL version: 2.1.3
% 2.68/2.04 % (2644027)Termination reason: Instruction limit
% 2.68/2.04 % (2644027)Termination phase: Saturation
% 2.68/2.04 % (2644027)Time elapsed: 0.114 s
% 2.68/2.04 % (2644027)Peak memory usage: 93 MB
% 2.68/2.04 % (2644027)Instructions burned: 320 (million)
% 2.68/2.04 % (2644031)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2269390759:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2992 on theBenchmark for (2992ds/2836Mi)
% 2.68/2.04 % (2644031)First to succeed.
% 2.68/2.04 % (2644031)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2644002"
% 2.68/2.04 % (2644031)Refutation found. Thanks to Tanya!
% 2.68/2.04 % SZS status Unsatisfiable for theBenchmark
% 2.68/2.04 % SZS output start Proof for theBenchmark
% See solution above
% 8.93/2.23 % (2644031)------------------------------
% 8.93/2.23 % (2644031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.93/2.23 % (2644031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/2.23 % (2644031)CaDiCaL version: 2.1.3
% 8.93/2.23 % (2644031)Termination reason: Refutation
% 8.93/2.23 % (2644031)Time elapsed: 0.089 s
% 8.93/2.23 % (2644031)Peak memory usage: 90 MB
% 8.93/2.23 % (2644031)Instructions burned: 135 (million)
% 8.93/2.23 % (2644031)------------------------------
% 8.93/2.23 % (2644031)------------------------------
% 8.93/2.23 % (2644002)Success in time 1.178 s
% 8.93/2.23 % Vampire exiting
%------------------------------------------------------------------------------