%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 09:30:48 AM UTC 2026
% Result : Unsatisfiable 11.38s 2.37s
% Output : Refutation 12.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 22
% Syntax : Number of formulae : 88 ( 16 unt; 8 def)
% Number of atoms : 237 ( 7 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 319 ( 170 ~; 144 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X2,X0,X1] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less_than) ).
fof(f5,axiom,
! [X0,X1] :
( less_than(n0,minimum(X0,X1))
| ~ less_than(n0,X1)
| ~ less_than(n0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2_1) ).
fof(f6,axiom,
! [X0,X1] :
( less_than(minimum(X0,X1),X0)
| ~ less_than(n0,X1)
| ~ less_than(n0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2_2) ).
fof(f7,axiom,
! [X0,X1] :
( less_than(minimum(X0,X1),X1)
| ~ less_than(n0,X1)
| ~ less_than(n0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2_3) ).
fof(f8,axiom,
! [X2,X0,X1] :
( less_than(add(X0,X2),X1)
| ~ less_than(X2,half(X1))
| ~ less_than(X0,half(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f11,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6_1) ).
fof(f13,axiom,
! [X0] :
( less_than(n0,half(X0))
| ~ less_than(n0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f15,negated_conjecture,
! [X0] :
( less_than(n0,fp31(X0))
| ~ less_than(n0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_10) ).
fof(f16,negated_conjecture,
! [X0,X1] :
( ~ less_than(n0,X0)
| ~ less_than(absolute(add(X1,minus(a))),fp31(X0))
| less_than(absolute(add(f(X1),minus(l1))),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_11) ).
fof(f17,negated_conjecture,
! [X0] :
( less_than(n0,fp32(X0))
| ~ less_than(n0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_12) ).
fof(f18,negated_conjecture,
! [X0,X1] :
( ~ less_than(n0,X0)
| ~ less_than(absolute(add(X1,minus(a))),fp32(X0))
| less_than(absolute(add(g(X1),minus(l2))),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_13) ).
fof(f19,negated_conjecture,
less_than(n0,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_14) ).
fof(f20,negated_conjecture,
! [X0] :
( ~ less_than(n0,X0)
| less_than(absolute(add(fp33(X0),minus(a))),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_15) ).
fof(f21,negated_conjecture,
! [X0] :
( ~ less_than(n0,X0)
| ~ less_than(add(absolute(add(f(fp33(X0)),minus(l1))),absolute(add(g(fp33(X0)),minus(l2)))),b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_16) ).
fof(f22,definition,
sF0 = minus(a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f23,plain,
minus(a) = sF0,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF1 = minus(l1),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f25,plain,
minus(l1) = sF1,
inference(reorient_equations,[],[f24]) ).
fof(f26,plain,
! [X0,X1] :
( ~ less_than(n0,X0)
| ~ less_than(absolute(add(X1,sF0)),fp31(X0))
| less_than(absolute(add(f(X1),sF1)),X0) ),
inference(definition_folding,[],[f16,f25,f23]) ).
fof(f27,definition,
sF2 = minus(l2),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f28,plain,
minus(l2) = sF2,
inference(reorient_equations,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ~ less_than(n0,X0)
| ~ less_than(absolute(add(X1,sF0)),fp32(X0))
| less_than(absolute(add(g(X1),sF2)),X0) ),
inference(definition_folding,[],[f18,f28,f23]) ).
fof(f30,plain,
! [X0] :
( ~ less_than(n0,X0)
| less_than(absolute(add(fp33(X0),sF0)),X0) ),
inference(definition_folding,[],[f20,f23]) ).
fof(f31,plain,
! [X0] :
( ~ less_than(n0,X0)
| ~ less_than(add(absolute(add(f(fp33(X0)),sF1)),absolute(add(g(fp33(X0)),sF2))),b) ),
inference(definition_folding,[],[f21,f28,f25]) ).
fof(f32,plain,
! [X0,X1] :
( ~ less_than(absolute(add(X1,minus(a))),fp31(X0))
| ~ less_than(n0,X0)
| less_than(absolute(add(f(X1),sF1)),X0) ),
inference(backward_demodulation,[],[f26,f23]) ).
fof(f33,plain,
! [X0,X1] :
( ~ less_than(absolute(add(X1,minus(a))),fp32(X0))
| ~ less_than(n0,X0)
| less_than(absolute(add(g(X1),sF2)),X0) ),
inference(backward_demodulation,[],[f29,f23]) ).
fof(f34,plain,
! [X0] :
( less_than(absolute(add(fp33(X0),minus(a))),X0)
| ~ less_than(n0,X0) ),
inference(backward_demodulation,[],[f30,f23]) ).
fof(f35,plain,
! [X0] :
( ~ less_than(add(absolute(add(f(fp33(X0)),minus(l1))),absolute(add(g(fp33(X0)),sF2))),b)
| ~ less_than(n0,X0) ),
inference(backward_demodulation,[],[f31,f25]) ).
fof(f36,plain,
! [X0,X1] :
( less_than(absolute(add(g(X1),minus(l2))),X0)
| ~ less_than(absolute(add(X1,minus(a))),fp32(X0))
| ~ less_than(n0,X0) ),
inference(forward_demodulation,[],[f33,f28]) ).
fof(f37,plain,
! [X0,X1] :
( less_than(absolute(add(f(X1),minus(l1))),X0)
| ~ less_than(absolute(add(X1,minus(a))),fp31(X0))
| ~ less_than(n0,X0) ),
inference(forward_demodulation,[],[f32,f25]) ).
fof(f38,plain,
! [X0] :
( ~ less_than(add(absolute(add(f(fp33(X0)),minus(l1))),absolute(add(sF2,g(fp33(X0))))),b)
| ~ less_than(n0,X0) ),
inference(forward_demodulation,[],[f35,f11]) ).
fof(f39,plain,
! [X0] :
( ~ less_than(add(absolute(add(f(fp33(X0)),minus(l1))),absolute(add(minus(l2),g(fp33(X0))))),b)
| ~ less_than(n0,X0) ),
inference(forward_demodulation,[],[f38,f28]) ).
fof(f40,plain,
! [X0] :
( ~ less_than(add(absolute(add(minus(l1),f(fp33(X0)))),absolute(add(minus(l2),g(fp33(X0))))),b)
| ~ less_than(n0,X0) ),
inference(forward_demodulation,[],[f39,f11]) ).
fof(f43,plain,
! [X0,X1] :
( less_than(absolute(add(minus(l1),f(X0))),X1)
| ~ less_than(absolute(add(X0,minus(a))),fp31(X1))
| ~ less_than(n0,X1) ),
inference(superposition,[],[f37,f11]) ).
fof(f44,plain,
! [X0,X1] :
( less_than(absolute(add(minus(l2),g(X0))),X1)
| ~ less_than(absolute(add(X0,minus(a))),fp32(X1))
| ~ less_than(n0,X1) ),
inference(superposition,[],[f36,f11]) ).
fof(f75,plain,
! [X0] :
( ~ less_than(absolute(add(minus(l2),g(fp33(X0)))),half(b))
| ~ less_than(absolute(add(minus(l1),f(fp33(X0)))),half(b))
| ~ less_than(n0,X0) ),
inference(resolution,[],[f8,f40]) ).
fof(f84,plain,
! [X0] :
( ~ less_than(absolute(add(fp33(X0),minus(a))),fp32(half(b)))
| ~ less_than(n0,half(b))
| ~ less_than(absolute(add(minus(l1),f(fp33(X0)))),half(b))
| ~ less_than(n0,X0) ),
inference(resolution,[],[f44,f75]) ).
fof(f88,definition,
( spl3_1
<=> less_than(n0,half(b)) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f89,plain,
( less_than(n0,half(b))
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f90,plain,
( ~ less_than(n0,half(b))
| spl3_1 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f92,definition,
( spl3_2
<=> ! [X0] :
( ~ less_than(absolute(add(fp33(X0),minus(a))),fp32(half(b)))
| ~ less_than(n0,X0)
| ~ less_than(absolute(add(minus(l1),f(fp33(X0)))),half(b)) ) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f93,plain,
( ! [X0] :
( ~ less_than(absolute(add(fp33(X0),minus(a))),fp32(half(b)))
| ~ less_than(n0,X0)
| ~ less_than(absolute(add(minus(l1),f(fp33(X0)))),half(b)) )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f94,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f84,f92,f88]) ).
fof(f101,plain,
( ~ less_than(n0,b)
| spl3_1 ),
inference(resolution,[],[f90,f13]) ).
fof(f103,plain,
( $false
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f101,f19]) ).
fof(f104,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f103]) ).
fof(f106,plain,
( ! [X0,X1] :
( ~ less_than(absolute(add(minus(l1),f(fp33(X0)))),half(b))
| ~ less_than(n0,X0)
| ~ less_than(X1,fp32(half(b)))
| ~ less_than(absolute(add(fp33(X0),minus(a))),X1) )
| ~ spl3_2 ),
inference(resolution,[],[f93,f4]) ).
fof(f115,definition,
( spl3_4
<=> less_than(n0,fp32(half(b))) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f116,plain,
( less_than(n0,fp32(half(b)))
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f117,plain,
( ~ less_than(n0,fp32(half(b)))
| spl3_4 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f168,plain,
( ! [X0,X1] :
( ~ less_than(n0,X0)
| ~ less_than(X1,fp32(half(b)))
| ~ less_than(absolute(add(fp33(X0),minus(a))),X1)
| ~ less_than(absolute(add(fp33(X0),minus(a))),fp31(half(b)))
| ~ less_than(n0,half(b)) )
| ~ spl3_2 ),
inference(resolution,[],[f106,f43]) ).
fof(f175,plain,
( ! [X0,X1] :
( ~ less_than(absolute(add(fp33(X0),minus(a))),fp31(half(b)))
| ~ less_than(X1,fp32(half(b)))
| ~ less_than(absolute(add(fp33(X0),minus(a))),X1)
| ~ less_than(n0,X0) )
| ~ spl3_1
| ~ spl3_2 ),
inference(forward_subsumption_resolution,[],[f168,f89]) ).
fof(f178,plain,
( ! [X2,X0,X1] :
( ~ less_than(absolute(add(fp33(X1),minus(a))),X2)
| ~ less_than(absolute(add(fp33(X1),minus(a))),X0)
| ~ less_than(n0,X1)
| ~ less_than(X2,fp31(half(b)))
| ~ less_than(X0,fp32(half(b))) )
| ~ spl3_1
| ~ spl3_2 ),
inference(resolution,[],[f175,f4]) ).
fof(f184,definition,
( spl3_14
<=> less_than(n0,fp31(half(b))) ),
introduced(definition,[new_symbols(definition,[spl3_14])],[avatar_definition]) ).
fof(f185,plain,
( less_than(n0,fp31(half(b)))
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f186,plain,
( ~ less_than(n0,fp31(half(b)))
| spl3_14 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f191,plain,
( ~ less_than(n0,half(b))
| spl3_14 ),
inference(resolution,[],[f186,f15]) ).
fof(f193,plain,
( $false
| ~ spl3_1
| spl3_14 ),
inference(forward_subsumption_resolution,[],[f191,f89]) ).
fof(f194,plain,
( ~ spl3_1
| spl3_14 ),
inference(avatar_contradiction_clause,[],[f193]) ).
fof(f199,plain,
( ! [X0,X1] :
( ~ less_than(absolute(add(fp33(X0),minus(a))),X1)
| ~ less_than(n0,X0)
| ~ less_than(X0,fp31(half(b)))
| ~ less_than(X1,fp32(half(b)))
| ~ less_than(n0,X0) )
| ~ spl3_1
| ~ spl3_2 ),
inference(resolution,[],[f178,f34]) ).
fof(f204,plain,
( ! [X0,X1] :
( ~ less_than(absolute(add(fp33(X0),minus(a))),X1)
| ~ less_than(n0,X0)
| ~ less_than(X0,fp31(half(b)))
| ~ less_than(X1,fp32(half(b))) )
| ~ spl3_1
| ~ spl3_2 ),
inference(duplicate_literal_removal,[],[f199]) ).
fof(f205,plain,
( ! [X0] :
( ~ less_than(n0,X0)
| ~ less_than(X0,fp31(half(b)))
| ~ less_than(X0,fp32(half(b)))
| ~ less_than(n0,X0) )
| ~ spl3_1
| ~ spl3_2 ),
inference(resolution,[],[f204,f34]) ).
fof(f210,plain,
( ! [X0] :
( ~ less_than(X0,fp32(half(b)))
| ~ less_than(X0,fp31(half(b)))
| ~ less_than(n0,X0) )
| ~ spl3_1
| ~ spl3_2 ),
inference(duplicate_literal_removal,[],[f205]) ).
fof(f215,plain,
( ! [X0] :
( ~ less_than(minimum(X0,fp32(half(b))),fp31(half(b)))
| ~ less_than(n0,minimum(X0,fp32(half(b))))
| ~ less_than(n0,fp32(half(b)))
| ~ less_than(n0,X0) )
| ~ spl3_1
| ~ spl3_2 ),
inference(resolution,[],[f210,f7]) ).
fof(f240,plain,
( ! [X0] :
( ~ less_than(minimum(X0,fp32(half(b))),fp31(half(b)))
| ~ less_than(n0,fp32(half(b)))
| ~ less_than(n0,X0) )
| ~ spl3_1
| ~ spl3_2 ),
inference(forward_subsumption_resolution,[],[f215,f5]) ).
fof(f244,definition,
( spl3_20
<=> ! [X0] :
( ~ less_than(minimum(X0,fp32(half(b))),fp31(half(b)))
| ~ less_than(n0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl3_20])],[avatar_definition]) ).
fof(f245,plain,
( ! [X0] :
( ~ less_than(minimum(X0,fp32(half(b))),fp31(half(b)))
| ~ less_than(n0,X0) )
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f246,plain,
( ~ spl3_4
| spl3_20
| ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f240,f92,f88,f244,f115]) ).
fof(f274,plain,
( ~ less_than(n0,half(b))
| spl3_4 ),
inference(resolution,[],[f117,f17]) ).
fof(f276,plain,
( $false
| ~ spl3_1
| spl3_4 ),
inference(forward_subsumption_resolution,[],[f274,f89]) ).
fof(f277,plain,
( ~ spl3_1
| spl3_4 ),
inference(avatar_contradiction_clause,[],[f276]) ).
fof(f325,plain,
( ~ less_than(n0,fp31(half(b)))
| ~ less_than(n0,fp32(half(b)))
| ~ less_than(n0,fp31(half(b)))
| ~ spl3_20 ),
inference(resolution,[],[f245,f6]) ).
fof(f327,plain,
( ~ less_than(n0,fp31(half(b)))
| ~ less_than(n0,fp32(half(b)))
| ~ spl3_20 ),
inference(duplicate_literal_removal,[],[f325]) ).
fof(f328,plain,
( ~ less_than(n0,fp32(half(b)))
| ~ spl3_14
| ~ spl3_20 ),
inference(forward_subsumption_resolution,[],[f327,f185]) ).
fof(f329,plain,
( $false
| ~ spl3_4
| ~ spl3_14
| ~ spl3_20 ),
inference(forward_subsumption_resolution,[],[f328,f116]) ).
fof(f330,plain,
( ~ spl3_4
| ~ spl3_14
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f329]) ).
cnf(s1,plain,
( ~ spl3_1
| spl3_2 ),
inference(sat_conversion,[],[f94]) ).
cnf(s2,plain,
spl3_1,
inference(sat_conversion,[],[f104]) ).
cnf(s10,plain,
( ~ spl3_1
| spl3_14 ),
inference(sat_conversion,[],[f194]) ).
cnf(s15,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_4
| spl3_20 ),
inference(sat_conversion,[],[f246]) ).
cnf(s17,plain,
( ~ spl3_1
| spl3_4 ),
inference(sat_conversion,[],[f277]) ).
cnf(s21,plain,
( ~ spl3_4
| ~ spl3_14
| ~ spl3_20 ),
inference(sat_conversion,[],[f330]) ).
cnf(s22,plain,
spl3_4,
inference(rat,[],[s17,s2]) ).
cnf(s23,plain,
spl3_14,
inference(rat,[],[s10,s2]) ).
cnf(s24,plain,
~ spl3_20,
inference(rat,[],[s21,s22,s23]) ).
cnf(s25,plain,
~ spl3_2,
inference(rat,[],[s15,s2,s22,s24]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s1,s25,s2]) ).
fof(f331,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n007.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 20:23:10 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 11.38/2.36 % (2760796)Input is clausal, will run a generic CNF schedule.
% 11.38/2.36 % (2760908)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3421998686:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.38/2.36 % (2760907)lrs+10_1_sil=8000:sp=occurrence:random_seed=1416102075:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.38/2.36 % (2760906)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1820623628:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.38/2.36 % (2760908)Instruction limit reached!
% 11.38/2.36 % (2760908)------------------------------
% 11.38/2.36 % (2760908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.36 % (2760908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.36 % (2760908)CaDiCaL version: 2.1.3
% 11.38/2.36 % (2760908)Termination reason: Instruction limit
% 11.38/2.36 % (2760908)Termination phase: Saturation
% 11.38/2.36 % (2760908)Time elapsed: 0.040 s
% 11.38/2.36 % (2760908)Peak memory usage: 89 MB
% 11.38/2.36 % (2760908)Instructions burned: 116 (million)
% 11.38/2.36 % (2760904)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3180561569:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.38/2.36 % (2760905)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=543587586:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.38/2.36 % (2760909)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1746761726:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.38/2.36 % (2760910)dis-21_1_sil=8000:lcm=predicate:random_seed=2920003355:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 11.38/2.36 % (2760907)Instruction limit reached!
% 11.38/2.36 % (2760907)------------------------------
% 11.38/2.36 % (2760907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.36 % (2760907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.36 % (2760907)CaDiCaL version: 2.1.3
% 11.38/2.36 % (2760907)Termination reason: Instruction limit
% 11.38/2.36 % (2760907)Termination phase: Saturation
% 11.38/2.36 % (2760907)Time elapsed: 0.066 s
% 11.38/2.36 % (2760907)Peak memory usage: 88 MB
% 11.38/2.36 % (2760907)Instructions burned: 109 (million)
% 11.38/2.36 % (2760952)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1895494577:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 11.38/2.36 % (2760910)Instruction limit reached!
% 11.38/2.36 % (2760910)------------------------------
% 11.38/2.36 % (2760910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.36 % (2760910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.36 % (2760910)CaDiCaL version: 2.1.3
% 11.38/2.36 % (2760910)Termination reason: Instruction limit
% 11.38/2.36 % (2760910)Termination phase: Saturation
% 11.38/2.36 % (2760910)Time elapsed: 0.119 s
% 11.38/2.36 % (2760910)Peak memory usage: 89 MB
% 11.38/2.36 % (2760910)Instructions burned: 118 (million)
% 11.38/2.36 % (2760909)Instruction limit reached!
% 11.38/2.36 % (2760909)------------------------------
% 11.38/2.36 % (2760909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.36 % (2760909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.36 % (2760909)CaDiCaL version: 2.1.3
% 11.38/2.36 % (2760909)Termination reason: Instruction limit
% 11.38/2.36 % (2760909)Termination phase: Saturation
% 11.38/2.36 % (2760909)Time elapsed: 0.180 s
% 11.38/2.36 % (2760909)Peak memory usage: 89 MB
% 11.38/2.36 % (2760909)Instructions burned: 181 (million)
% 11.38/2.36 % (2760952)Instruction limit reached!
% 11.38/2.36 % (2760952)------------------------------
% 11.38/2.36 % (2760952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.36 % (2760952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.36 % (2760952)CaDiCaL version: 2.1.3
% 11.38/2.36 % (2760952)Termination reason: Instruction limit
% 11.38/2.36 % (2760952)Termination phase: Saturation
% 11.38/2.36 % (2760952)Time elapsed: 0.060 s
% 11.38/2.36 % (2760952)Peak memory usage: 89 MB
% 11.38/2.36 % (2760952)Instructions burned: 143 (million)
% 11.38/2.36 % (2760960)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=610972521:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 11.38/2.37 % (2760968)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3818546309:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 11.38/2.37 % (2760965)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=754961956:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 11.38/2.37 % (2760967)lrs+10_64_to=lpo:sil=8000:random_seed=2551728950:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 11.38/2.37 % (2760960)Instruction limit reached!
% 11.38/2.37 % (2760960)------------------------------
% 11.38/2.37 % (2760960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.37 % (2760960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.37 % (2760960)CaDiCaL version: 2.1.3
% 11.38/2.37 % (2760960)Termination reason: Instruction limit
% 11.38/2.37 % (2760960)Termination phase: Saturation
% 11.38/2.37 % (2760960)Time elapsed: 0.169 s
% 11.38/2.37 % (2760960)Peak memory usage: 91 MB
% 11.38/2.37 % (2760960)Instructions burned: 190 (million)
% 11.38/2.37 % (2760968)Instruction limit reached!
% 11.38/2.37 % (2760968)------------------------------
% 11.38/2.37 % (2760968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.37 % (2760968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.37 % (2760968)CaDiCaL version: 2.1.3
% 11.38/2.37 % (2760968)Termination reason: Instruction limit
% 11.38/2.37 % (2760968)Termination phase: Saturation
% 11.38/2.37 % (2760968)Time elapsed: 0.106 s
% 11.38/2.37 % (2760968)Peak memory usage: 90 MB
% 11.38/2.37 % (2760968)Instructions burned: 195 (million)
% 11.38/2.37 % (2760967)Instruction limit reached!
% 11.38/2.37 % (2760967)------------------------------
% 11.38/2.37 % (2760967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.37 % (2760967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.37 % (2760967)CaDiCaL version: 2.1.3
% 11.38/2.37 % (2760967)Termination reason: Instruction limit
% 11.38/2.37 % (2760967)Termination phase: Saturation
% 11.38/2.37 % (2760967)Time elapsed: 0.131 s
% 11.38/2.37 % (2760967)Peak memory usage: 89 MB
% 11.38/2.37 % (2760967)Instructions burned: 126 (million)
% 11.38/2.37 % (2760965)Instruction limit reached!
% 11.38/2.37 % (2760965)------------------------------
% 11.38/2.37 % (2760965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.37 % (2760965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.37 % (2760965)CaDiCaL version: 2.1.3
% 11.38/2.37 % (2760965)Termination reason: Instruction limit
% 11.38/2.37 % (2760965)Termination phase: Saturation
% 11.38/2.37 % (2760965)Time elapsed: 0.210 s
% 11.38/2.37 % (2760965)Peak memory usage: 89 MB
% 11.38/2.37 % (2760965)Instructions burned: 219 (million)
% 11.38/2.37 % (2760980)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1120867805:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 11.38/2.37 % (2760982)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3596488239:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 11.38/2.37 % (2760985)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2865431971:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 11.38/2.37 % (2760980)Instruction limit reached!
% 11.38/2.37 % (2760980)------------------------------
% 11.38/2.37 % (2760980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.37 % (2760980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.37 % (2760980)CaDiCaL version: 2.1.3
% 11.38/2.37 % (2760980)Termination reason: Instruction limit
% 11.38/2.37 % (2760980)Termination phase: Saturation
% 11.38/2.37 % (2760980)Time elapsed: 0.162 s
% 11.38/2.37 % (2760980)Peak memory usage: 89 MB
% 11.38/2.37 % (2760980)Instructions burned: 157 (million)
% 11.38/2.37 % (2760986)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1589193444:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 11.38/2.37 % (2760985)Instruction limit reached!
% 11.38/2.37 % (2760985)------------------------------
% 11.38/2.37 % (2760985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.37 % (2760985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.37 % (2760985)CaDiCaL version: 2.1.3
% 11.38/2.37 % (2760985)Termination reason: Instruction limit
% 11.38/2.37 % (2760985)Termination phase: Saturation
% 11.38/2.37 % (2760985)Time elapsed: 0.089 s
% 11.38/2.37 % (2760985)Peak memory usage: 89 MB
% 11.38/2.37 % (2760985)Instructions burned: 107 (million)
% 11.38/2.37 % (2760986)Instruction limit reached!
% 11.38/2.37 % (2760986)------------------------------
% 11.38/2.37 % (2760986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.37 % (2760986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.37 % (2760986)CaDiCaL version: 2.1.3
% 11.38/2.37 % (2760986)Termination reason: Instruction limit
% 11.38/2.37 % (2760986)Termination phase: Saturation
% 11.38/2.37 % (2760986)Time elapsed: 0.104 s
% 11.38/2.37 % (2760986)Peak memory usage: 89 MB
% 11.38/2.37 % (2760986)Instructions burned: 107 (million)
% 11.38/2.37 % (2760906)First to succeed.
% 11.38/2.37 % (2760906)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2760796"
% 11.38/2.37 % (2760993)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1682715351:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2990 on theBenchmark for (2990ds/242Mi)
% 11.38/2.37 % (2760997)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4286342875:i=134:sd=2:doe=on:ss=axioms:sgt=14_2988 on theBenchmark for (2988ds/134Mi)
% 11.38/2.37 % (2760996)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=234655630:cond=fast:i=5208:av=off_2989 on theBenchmark for (2989ds/5208Mi)
% 11.38/2.37 % (2760997)Instruction limit reached!
% 11.38/2.37 % (2760997)------------------------------
% 11.38/2.37 % (2760997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.37 % (2760997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.37 % (2760997)CaDiCaL version: 2.1.3
% 11.38/2.37 % (2760997)Termination reason: Instruction limit
% 11.38/2.37 % (2760997)Termination phase: Saturation
% 11.38/2.37 % (2760997)Time elapsed: 0.088 s
% 11.38/2.37 % (2760997)Peak memory usage: 91 MB
% 11.38/2.37 % (2760997)Instructions burned: 134 (million)
% 11.38/2.37 % (2760993)Instruction limit reached!
% 11.38/2.37 % (2760993)------------------------------
% 11.38/2.37 % (2760993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.38/2.37 % (2760993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.38/2.37 % (2760993)CaDiCaL version: 2.1.3
% 11.38/2.37 % (2760993)Termination reason: Instruction limit
% 11.38/2.37 % (2760993)Termination phase: Saturation
% 11.38/2.37 % (2760993)Time elapsed: 0.197 s
% 11.38/2.37 % (2760993)Peak memory usage: 88 MB
% 11.38/2.37 % (2760993)Instructions burned: 242 (million)
% 11.38/2.37 % (2761005)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2422274621:i=499:bd=all_2985 on theBenchmark for (2985ds/499Mi)
% 11.38/2.37 % (2760906)Refutation found. Thanks to Tanya!
% 11.38/2.37 % SZS status Unsatisfiable for theBenchmark
% 11.38/2.37 % SZS output start Proof for theBenchmark
% See solution above
% 12.29/2.59 % (2760906)------------------------------
% 12.29/2.59 % (2760906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.29/2.59 % (2760906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.29/2.59 % (2760906)CaDiCaL version: 2.1.3
% 12.29/2.59 % (2760906)Termination reason: Refutation
% 12.29/2.59 % (2760906)Time elapsed: 1.079 s
% 12.29/2.59 % (2760906)Peak memory usage: 129 MB
% 12.29/2.59 % (2760906)Instructions burned: 972 (million)
% 12.29/2.59 % (2760906)------------------------------
% 12.29/2.59 % (2760906)------------------------------
% 12.29/2.59 % (2760796)Success in time 1.671 s
% 12.29/2.59 % Vampire exiting
%------------------------------------------------------------------------------