%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA005-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 09:30:50 AM UTC 2026
% Result : Unsatisfiable 18.89s 3.79s
% Output : Refutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 21
% Syntax : Number of formulae : 76 ( 12 unt; 4 def)
% Number of atoms : 193 ( 4 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 243 ( 126 ~; 113 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 84 ( 0 sgn 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X2,X0,X1] :
( ~ less_than(X1,X2)
| ~ less_than(X0,X1)
| less_than(X0,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ less_than(add(absolute(X0),absolute(X1)),X2)
| less_than(absolute(add(X0,X1)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_17) ).
fof(f10,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f11,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6_1) ).
fof(f12,axiom,
! [X0] :
( less_than(n0,half(X0))
| ~ less_than(n0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6_2) ).
fof(f14,axiom,
! [X0,X1] : minus(add(X0,X1)) = add(minus(X0),minus(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f15,negated_conjecture,
! [X0] :
( less_than(n0,fp31(X0))
| ~ less_than(n0,X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',c_11) ).
fof(f17,negated_conjecture,
! [X0] :
( less_than(n0,fp32(X0))
| ~ less_than(n0,X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',c_13) ).
fof(f19,negated_conjecture,
less_than(n0,b),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',c_15) ).
fof(f21,negated_conjecture,
! [X0] :
( ~ less_than(n0,X0)
| ~ less_than(absolute(add(add(f(fp33(X0)),g(fp33(X0))),minus(add(l1,l2)))),b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_16) ).
fof(f22,plain,
! [X0] :
( ~ less_than(absolute(add(f(fp33(X0)),add(g(fp33(X0)),minus(add(l1,l2))))),b)
| ~ less_than(n0,X0) ),
inference(forward_demodulation,[],[f21,f10]) ).
fof(f23,plain,
! [X0] :
( less_than(absolute(add(minus(a),fp33(X0))),X0)
| ~ less_than(n0,X0) ),
inference(forward_demodulation,[],[f20,f11]) ).
fof(f24,plain,
! [X0,X1] :
( ~ less_than(absolute(add(X1,minus(a))),fp32(X0))
| ~ less_than(n0,X0)
| less_than(absolute(add(minus(l2),g(X1))),X0) ),
inference(forward_demodulation,[],[f18,f11]) ).
fof(f25,plain,
! [X0,X1] :
( ~ less_than(absolute(add(X1,minus(a))),fp31(X0))
| ~ less_than(n0,X0)
| less_than(absolute(add(minus(l1),f(X1))),X0) ),
inference(forward_demodulation,[],[f16,f11]) ).
fof(f32,plain,
! [X0,X1] :
( ~ less_than(absolute(add(minus(a),X0)),fp31(X1))
| ~ less_than(n0,X1)
| less_than(absolute(add(minus(l1),f(X0))),X1) ),
inference(superposition,[],[f25,f11]) ).
fof(f33,plain,
! [X0,X1] :
( ~ less_than(absolute(add(minus(a),X0)),fp32(X1))
| ~ less_than(n0,X1)
| less_than(absolute(add(minus(l2),g(X0))),X1) ),
inference(superposition,[],[f24,f11]) ).
fof(f35,plain,
! [X0] :
( ~ less_than(absolute(add(f(fp33(X0)),add(minus(add(l1,l2)),g(fp33(X0))))),b)
| ~ less_than(n0,X0) ),
inference(superposition,[],[f22,f11]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ less_than(X0,minimum(X1,X2))
| less_than(X0,X1)
| ~ less_than(n0,X2)
| ~ less_than(n0,X1) ),
inference(resolution,[],[f4,f6]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ less_than(X0,minimum(X1,X2))
| less_than(X0,X2)
| ~ less_than(n0,X2)
| ~ less_than(n0,X1) ),
inference(resolution,[],[f4,f7]) ).
fof(f64,plain,
! [X2,X0,X1] : add(minus(X0),add(minus(X1),X2)) = add(minus(add(X0,X1)),X2),
inference(superposition,[],[f10,f14]) ).
fof(f97,plain,
! [X2,X0,X1] :
( less_than(absolute(add(X2,X0)),X1)
| ~ less_than(absolute(X2),half(X1))
| ~ less_than(absolute(X0),half(X1)) ),
inference(resolution,[],[f8,f9]) ).
fof(f116,plain,
! [X2,X3,X0,X1] :
( less_than(absolute(add(X0,add(X1,X2))),X3)
| ~ less_than(absolute(add(X0,X1)),half(X3))
| ~ less_than(absolute(X2),half(X3)) ),
inference(superposition,[],[f97,f10]) ).
fof(f167,plain,
! [X0,X1] :
( less_than(absolute(add(minus(a),fp33(minimum(X0,X1)))),X0)
| ~ less_than(n0,X1)
| ~ less_than(n0,X0)
| ~ less_than(n0,minimum(X0,X1)) ),
inference(resolution,[],[f47,f23]) ).
fof(f188,plain,
! [X0,X1] :
( less_than(absolute(add(minus(a),fp33(minimum(X0,X1)))),X0)
| ~ less_than(n0,X1)
| ~ less_than(n0,X0) ),
inference(forward_subsumption_resolution,[],[f167,f5]) ).
fof(f189,plain,
! [X0,X1] :
( ~ less_than(n0,X0)
| ~ less_than(n0,fp31(X1))
| ~ less_than(n0,X1)
| less_than(absolute(add(minus(l1),f(fp33(minimum(fp31(X1),X0))))),X1) ),
inference(resolution,[],[f188,f32]) ).
fof(f195,plain,
! [X0,X1] :
( less_than(absolute(add(minus(l1),f(fp33(minimum(fp31(X1),X0))))),X1)
| ~ less_than(n0,X1)
| ~ less_than(n0,X0) ),
inference(forward_subsumption_resolution,[],[f189,f15]) ).
fof(f243,plain,
! [X0,X1] :
( less_than(absolute(add(minus(a),fp33(minimum(X0,X1)))),X1)
| ~ less_than(n0,X1)
| ~ less_than(n0,X0)
| ~ less_than(n0,minimum(X0,X1)) ),
inference(resolution,[],[f48,f23]) ).
fof(f270,plain,
! [X0,X1] :
( less_than(absolute(add(minus(a),fp33(minimum(X0,X1)))),X1)
| ~ less_than(n0,X1)
| ~ less_than(n0,X0) ),
inference(forward_subsumption_resolution,[],[f243,f5]) ).
fof(f272,plain,
! [X0,X1] :
( ~ less_than(n0,fp32(X0))
| ~ less_than(n0,X1)
| ~ less_than(n0,X0)
| less_than(absolute(add(minus(l2),g(fp33(minimum(X1,fp32(X0)))))),X0) ),
inference(resolution,[],[f270,f33]) ).
fof(f279,plain,
! [X0,X1] :
( less_than(absolute(add(minus(l2),g(fp33(minimum(X1,fp32(X0)))))),X0)
| ~ less_than(n0,X0)
| ~ less_than(n0,X1) ),
inference(forward_subsumption_resolution,[],[f272,f17]) ).
fof(f585,plain,
! [X2,X3,X0,X1,X4] :
( less_than(absolute(add(X3,add(minus(add(X0,X1)),X2))),X4)
| ~ less_than(absolute(add(X3,minus(X0))),half(X4))
| ~ less_than(absolute(add(minus(X1),X2)),half(X4)) ),
inference(superposition,[],[f116,f64]) ).
fof(f615,plain,
! [X0] :
( ~ less_than(absolute(add(f(fp33(X0)),minus(l1))),half(b))
| ~ less_than(absolute(add(minus(l2),g(fp33(X0)))),half(b))
| ~ less_than(n0,X0) ),
inference(resolution,[],[f585,f35]) ).
fof(f654,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(forward_demodulation,[],[f615,f11]) ).
fof(f665,plain,
! [X0] :
( ~ less_than(absolute(add(minus(l1),f(fp33(minimum(X0,fp32(half(b))))))),half(b))
| ~ less_than(n0,minimum(X0,fp32(half(b))))
| ~ less_than(n0,half(b))
| ~ less_than(n0,X0) ),
inference(resolution,[],[f654,f279]) ).
fof(f676,definition,
( spl0_16
<=> less_than(n0,half(b)) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f677,plain,
( less_than(n0,half(b))
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f678,plain,
( ~ less_than(n0,half(b))
| spl0_16 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f680,definition,
( spl0_17
<=> ! [X0] :
( ~ less_than(absolute(add(minus(l1),f(fp33(minimum(X0,fp32(half(b))))))),half(b))
| ~ less_than(n0,X0)
| ~ less_than(n0,minimum(X0,fp32(half(b)))) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f681,plain,
( ! [X0] :
( ~ less_than(absolute(add(minus(l1),f(fp33(minimum(X0,fp32(half(b))))))),half(b))
| ~ less_than(n0,X0)
| ~ less_than(n0,minimum(X0,fp32(half(b)))) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f682,plain,
( ~ spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f665,f680,f676]) ).
fof(f694,plain,
( ~ less_than(n0,b)
| spl0_16 ),
inference(resolution,[],[f678,f12]) ).
fof(f696,plain,
( $false
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f694,f19]) ).
fof(f697,plain,
spl0_16,
inference(avatar_contradiction_clause,[],[f696]) ).
fof(f725,plain,
( ~ less_than(n0,fp31(half(b)))
| ~ less_than(n0,minimum(fp31(half(b)),fp32(half(b))))
| ~ less_than(n0,half(b))
| ~ less_than(n0,fp32(half(b)))
| ~ spl0_17 ),
inference(resolution,[],[f681,f195]) ).
fof(f731,plain,
( ~ less_than(n0,minimum(fp31(half(b)),fp32(half(b))))
| ~ less_than(n0,half(b))
| ~ less_than(n0,fp32(half(b)))
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f725,f15]) ).
fof(f733,plain,
( ~ less_than(n0,minimum(fp31(half(b)),fp32(half(b))))
| ~ less_than(n0,half(b))
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f731,f17]) ).
fof(f734,plain,
( ~ less_than(n0,minimum(fp31(half(b)),fp32(half(b))))
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f733,f677]) ).
fof(f735,plain,
( ~ less_than(n0,fp32(half(b)))
| ~ less_than(n0,fp31(half(b)))
| ~ spl0_16
| ~ spl0_17 ),
inference(resolution,[],[f734,f5]) ).
fof(f737,definition,
( spl0_23
<=> less_than(n0,fp31(half(b))) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f739,plain,
( ~ less_than(n0,fp31(half(b)))
| spl0_23 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f741,definition,
( spl0_24
<=> less_than(n0,fp32(half(b))) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f743,plain,
( ~ less_than(n0,fp32(half(b)))
| spl0_24 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f744,plain,
( ~ spl0_23
| ~ spl0_24
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f735,f680,f676,f741,f737]) ).
fof(f745,plain,
( ~ less_than(n0,half(b))
| spl0_23 ),
inference(resolution,[],[f739,f15]) ).
fof(f747,plain,
( $false
| ~ spl0_16
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f745,f677]) ).
fof(f748,plain,
( ~ spl0_16
| spl0_23 ),
inference(avatar_contradiction_clause,[],[f747]) ).
fof(f757,plain,
( ~ less_than(n0,half(b))
| spl0_24 ),
inference(resolution,[],[f743,f17]) ).
fof(f759,plain,
( $false
| ~ spl0_16
| spl0_24 ),
inference(forward_subsumption_resolution,[],[f757,f677]) ).
fof(f760,plain,
( ~ spl0_16
| spl0_24 ),
inference(avatar_contradiction_clause,[],[f759]) ).
cnf(s9,plain,
( ~ spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f682]) ).
cnf(s12,plain,
spl0_16,
inference(sat_conversion,[],[f697]) ).
cnf(s15,plain,
( ~ spl0_16
| ~ spl0_17
| ~ spl0_23
| ~ spl0_24 ),
inference(sat_conversion,[],[f744]) ).
cnf(s16,plain,
( ~ spl0_16
| spl0_23 ),
inference(sat_conversion,[],[f748]) ).
cnf(s17,plain,
( ~ spl0_16
| spl0_24 ),
inference(sat_conversion,[],[f760]) ).
cnf(s18,plain,
spl0_24,
inference(rat,[],[s17,s12]) ).
cnf(s19,plain,
spl0_23,
inference(rat,[],[s16,s12]) ).
cnf(s20,plain,
~ spl0_17,
inference(rat,[],[s15,s18,s19,s12]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s9,s20,s12]) ).
fof(f761,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ANA005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.28 % Computer : n007.cluster.edu
% 0.12/0.28 % Model : x86_64 x86_64
% 0.12/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.28 % Memory : 8046.5625MB
% 0.12/0.28 % OS : Linux 6.8.0-71-generic
% 0.12/0.28 % CPULimit : 300
% 0.12/0.28 % WCLimit : 300
% 0.12/0.28 % DateTime : Mon Sep 28 20:23:40 UTC 2026
% 0.12/0.28 % CPUTime :
% 0.12/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.34 Running first-order theorem proving
% 0.28/0.34 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
% 16.14/3.37 % (2762705)Input is clausal, will run a generic CNF schedule.
% 16.14/3.37 % (2762713)lrs+10_1_sil=8000:sp=occurrence:random_seed=1708206648:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 16.14/3.37 % (2762713)Instruction limit reached!
% 16.14/3.37 % (2762713)------------------------------
% 16.14/3.37 % (2762713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.14/3.37 % (2762713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.37 % (2762713)CaDiCaL version: 2.1.3
% 16.14/3.37 % (2762713)Termination reason: Instruction limit
% 16.14/3.37 % (2762713)Termination phase: Saturation
% 16.14/3.37 % (2762713)Time elapsed: 0.051 s
% 16.14/3.37 % (2762713)Peak memory usage: 89 MB
% 16.14/3.37 % (2762713)Instructions burned: 107 (million)
% 16.14/3.37 % (2762710)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=2638307935:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 16.14/3.37 % (2762711)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=598416619:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 16.14/3.37 % (2762714)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1936275926:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 16.14/3.37 % (2762712)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1497076228:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 16.14/3.37 % (2762716)dis-21_1_sil=8000:lcm=predicate:random_seed=1766813181: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)
% 16.14/3.37 % (2762715)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4218816113:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 16.14/3.37 % (2762715)Instruction limit reached!
% 16.14/3.37 % (2762715)------------------------------
% 16.14/3.37 % (2762715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.14/3.37 % (2762715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.37 % (2762715)CaDiCaL version: 2.1.3
% 16.14/3.37 % (2762715)Termination reason: Instruction limit
% 16.14/3.37 % (2762715)Termination phase: Saturation
% 16.14/3.37 % (2762715)Time elapsed: 0.088 s
% 16.14/3.37 % (2762715)Peak memory usage: 89 MB
% 16.14/3.37 % (2762715)Instructions burned: 181 (million)
% 16.14/3.37 % (2762714)Instruction limit reached!
% 16.14/3.37 % (2762714)------------------------------
% 16.14/3.37 % (2762714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.14/3.37 % (2762714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.37 % (2762714)CaDiCaL version: 2.1.3
% 16.14/3.37 % (2762714)Termination reason: Instruction limit
% 16.14/3.37 % (2762714)Termination phase: Saturation
% 16.14/3.37 % (2762714)Time elapsed: 0.108 s
% 16.14/3.37 % (2762714)Peak memory usage: 89 MB
% 16.14/3.37 % (2762714)Instructions burned: 115 (million)
% 16.14/3.37 % (2762716)Instruction limit reached!
% 16.14/3.37 % (2762716)------------------------------
% 16.14/3.37 % (2762716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.14/3.37 % (2762716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.37 % (2762716)CaDiCaL version: 2.1.3
% 16.14/3.37 % (2762716)Termination reason: Instruction limit
% 16.14/3.37 % (2762716)Termination phase: Saturation
% 16.14/3.37 % (2762716)Time elapsed: 0.105 s
% 16.14/3.37 % (2762716)Peak memory usage: 88 MB
% 16.14/3.37 % (2762716)Instructions burned: 118 (million)
% 16.14/3.37 % (2762718)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=138362078:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 16.14/3.37 % (2762725)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=155566237:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 16.14/3.37 % (2762726)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1107639705:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 16.14/3.37 % (2762727)lrs+10_64_to=lpo:sil=8000:random_seed=2119129321:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 16.14/3.37 % (2762718)Instruction limit reached!
% 18.89/3.79 % (2762718)------------------------------
% 18.89/3.79 % (2762718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.79 % (2762718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.79 % (2762718)CaDiCaL version: 2.1.3
% 18.89/3.79 % (2762718)Termination reason: Instruction limit
% 18.89/3.79 % (2762718)Termination phase: Saturation
% 18.89/3.79 % (2762718)Time elapsed: 0.137 s
% 18.89/3.79 % (2762718)Peak memory usage: 89 MB
% 18.89/3.79 % (2762718)Instructions burned: 144 (million)
% 18.89/3.79 % (2762725)Instruction limit reached!
% 18.89/3.79 % (2762725)------------------------------
% 18.89/3.79 % (2762725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.79 % (2762725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.79 % (2762725)CaDiCaL version: 2.1.3
% 18.89/3.79 % (2762725)Termination reason: Instruction limit
% 18.89/3.79 % (2762725)Termination phase: Saturation
% 18.89/3.79 % (2762725)Time elapsed: 0.086 s
% 18.89/3.79 % (2762725)Peak memory usage: 91 MB
% 18.89/3.79 % (2762725)Instructions burned: 190 (million)
% 18.89/3.79 % (2762727)Instruction limit reached!
% 18.89/3.79 % (2762727)------------------------------
% 18.89/3.79 % (2762727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.79 % (2762727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.79 % (2762727)CaDiCaL version: 2.1.3
% 18.89/3.79 % (2762727)Termination reason: Instruction limit
% 18.89/3.79 % (2762727)Termination phase: Saturation
% 18.89/3.79 % (2762727)Time elapsed: 0.123 s
% 18.89/3.79 % (2762727)Peak memory usage: 89 MB
% 18.89/3.79 % (2762727)Instructions burned: 126 (million)
% 18.89/3.79 % (2762726)Instruction limit reached!
% 18.89/3.79 % (2762726)------------------------------
% 18.89/3.79 % (2762726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.79 % (2762726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.79 % (2762726)CaDiCaL version: 2.1.3
% 18.89/3.79 % (2762726)Termination reason: Instruction limit
% 18.89/3.79 % (2762726)Termination phase: Saturation
% 18.89/3.79 % (2762726)Time elapsed: 0.208 s
% 18.89/3.79 % (2762726)Peak memory usage: 89 MB
% 18.89/3.79 % (2762726)Instructions burned: 219 (million)
% 18.89/3.79 % (2762733)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1383322289:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 18.89/3.79 % (2762732)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1413702708:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 18.89/3.79 % (2762733)Instruction limit reached!
% 18.89/3.79 % (2762733)------------------------------
% 18.89/3.79 % (2762733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.79 % (2762733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.79 % (2762733)CaDiCaL version: 2.1.3
% 18.89/3.79 % (2762733)Termination reason: Instruction limit
% 18.89/3.79 % (2762733)Termination phase: Saturation
% 18.89/3.79 % (2762733)Time elapsed: 0.078 s
% 18.89/3.79 % (2762733)Peak memory usage: 90 MB
% 18.89/3.79 % (2762733)Instructions burned: 158 (million)
% 18.89/3.79 % (2762734)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=689470084:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 18.89/3.79 % (2762735)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=1723674203:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 18.89/3.79 % (2762732)Instruction limit reached!
% 18.89/3.79 % (2762732)------------------------------
% 18.89/3.79 % (2762732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.79 % (2762732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.79 % (2762732)CaDiCaL version: 2.1.3
% 18.89/3.79 % (2762732)Termination reason: Instruction limit
% 18.89/3.79 % (2762732)Termination phase: Saturation
% 18.89/3.79 % (2762732)Time elapsed: 0.189 s
% 18.89/3.79 % (2762732)Peak memory usage: 90 MB
% 18.89/3.79 % (2762732)Instructions burned: 195 (million)
% 18.89/3.79 % (2762738)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=760177437:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 18.89/3.79 % (2762735)Instruction limit reached!
% 18.89/3.79 % (2762735)------------------------------
% 18.89/3.79 % (2762735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.79 % (2762735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.79 % (2762735)CaDiCaL version: 2.1.3
% 18.89/3.79 % (2762735)Termination reason: Instruction limit
% 18.89/3.79 % (2762735)Termination phase: Saturation
% 18.89/3.79 % (2762735)Time elapsed: 0.091 s
% 18.89/3.79 % (2762735)Peak memory usage: 89 MB
% 18.89/3.79 % (2762735)Instructions burned: 106 (million)
% 18.89/3.79 % (2762738)Instruction limit reached!
% 18.89/3.79 % (2762738)------------------------------
% 18.89/3.79 % (2762738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.79 % (2762738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.79 % (2762738)CaDiCaL version: 2.1.3
% 18.89/3.79 % (2762738)Termination reason: Instruction limit
% 18.89/3.79 % (2762738)Termination phase: Saturation
% 18.89/3.79 % (2762738)Time elapsed: 0.048 s
% 18.89/3.79 % (2762738)Peak memory usage: 89 MB
% 18.89/3.79 % (2762738)Instructions burned: 107 (million)
% 18.89/3.79 % (2762741)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3789018032:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2988 on theBenchmark for (2988ds/242Mi)
% 18.89/3.79 % (2762744)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3343915179:i=134:sd=2:doe=on:ss=axioms:sgt=14_2986 on theBenchmark for (2986ds/134Mi)
% 18.89/3.79 % (2762743)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3627159162:cond=fast:i=5208:av=off_2987 on theBenchmark for (2987ds/5208Mi)
% 18.89/3.79 % (2762744)Instruction limit reached!
% 18.89/3.79 % (2762744)------------------------------
% 18.89/3.79 % (2762744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.79 % (2762744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.79 % (2762744)CaDiCaL version: 2.1.3
% 18.89/3.79 % (2762744)Termination reason: Instruction limit
% 18.89/3.79 % (2762744)Termination phase: Saturation
% 18.89/3.79 % (2762744)Time elapsed: 0.066 s
% 18.89/3.79 % (2762744)Peak memory usage: 91 MB
% 18.89/3.79 % (2762744)Instructions burned: 134 (million)
% 18.89/3.79 % (2762741)Instruction limit reached!
% 18.89/3.79 % (2762741)------------------------------
% 18.89/3.79 % (2762741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.79 % (2762741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.79 % (2762741)CaDiCaL version: 2.1.3
% 18.89/3.79 % (2762741)Termination reason: Instruction limit
% 18.89/3.79 % (2762741)Termination phase: Saturation
% 18.89/3.79 % (2762741)Time elapsed: 0.198 s
% 18.89/3.79 % (2762741)Peak memory usage: 89 MB
% 18.89/3.79 % (2762741)Instructions burned: 243 (million)
% 18.89/3.79 % (2762748)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=684941876:i=499:bd=all_2984 on theBenchmark for (2984ds/499Mi)
% 18.89/3.79 % (2762749)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3186716144:i=191:fgj=on:bd=all_2983 on theBenchmark for (2983ds/191Mi)
% 18.89/3.79 % (2762748)Instruction limit reached!
% 18.89/3.79 % (2762748)------------------------------
% 18.89/3.79 % (2762748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.79 % (2762748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.79 % (2762748)CaDiCaL version: 2.1.3
% 18.89/3.79 % (2762748)Termination reason: Instruction limit
% 18.89/3.79 % (2762748)Termination phase: Saturation
% 18.89/3.79 % (2762748)Time elapsed: 0.226 s
% 18.89/3.79 % (2762748)Peak memory usage: 98 MB
% 18.89/3.79 % (2762748)Instructions burned: 500 (million)
% 18.89/3.79 % (2762749)Instruction limit reached!
% 18.89/3.79 % (2762749)------------------------------
% 18.89/3.79 % (2762749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.79 % (2762749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.79 % (2762749)CaDiCaL version: 2.1.3
% 18.89/3.79 % (2762749)Termination reason: Instruction limit
% 18.89/3.79 % (2762749)Termination phase: Saturation
% 18.89/3.79 % (2762749)Time elapsed: 0.180 s
% 18.89/3.79 % (2762749)Peak memory usage: 91 MB
% 18.89/3.79 % (2762749)Instructions burned: 192 (million)
% 18.89/3.79 % (2762752)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3325758818:i=264:kws=precedence:fsr=off_2979 on theBenchmark for (2979ds/264Mi)
% 18.89/3.79 % (2762734)First to succeed.
% 18.89/3.79 % (2762734)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2762705"
% 18.89/3.79 % (2762752)Instruction limit reached!
% 18.89/3.79 % (2762752)------------------------------
% 18.89/3.79 % (2762752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.79 % (2762752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.79 % (2762752)CaDiCaL version: 2.1.3
% 18.89/3.79 % (2762752)Termination reason: Instruction limit
% 18.89/3.79 % (2762752)Termination phase: Saturation
% 18.89/3.79 % (2762752)Time elapsed: 0.112 s
% 18.89/3.79 % (2762752)Peak memory usage: 90 MB
% 18.89/3.79 % (2762752)Instructions burned: 264 (million)
% 18.89/3.79 % (2762753)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3396384020:cond=on:i=156:bs=on:gtg=exists_all:er=known_2978 on theBenchmark for (2978ds/156Mi)
% 18.89/3.79 % (2762753)Instruction limit reached!
% 18.89/3.79 % (2762753)------------------------------
% 18.89/3.79 % (2762753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.89/3.79 % (2762753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.89/3.79 % (2762753)CaDiCaL version: 2.1.3
% 18.89/3.79 % (2762753)Termination reason: Instruction limit
% 18.89/3.79 % (2762753)Termination phase: Saturation
% 18.89/3.79 % (2762753)Time elapsed: 0.131 s
% 18.89/3.79 % (2762753)Peak memory usage: 88 MB
% 18.89/3.79 % (2762753)Instructions burned: 157 (million)
% 18.89/3.79 % (2762755)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=1490640366:i=3256:kws=precedence:bd=preordered:av=off_2976 on theBenchmark for (2976ds/3256Mi)
% 18.89/3.79 % (2762734)Refutation found. Thanks to Tanya!
% 18.89/3.79 % SZS status Unsatisfiable for theBenchmark
% 18.89/3.79 % SZS output start Proof for theBenchmark
% See solution above
% 0.32/4.17 % (2762734)------------------------------
% 0.32/4.17 % (2762734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.32/4.17 % (2762734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/4.17 % (2762734)CaDiCaL version: 2.1.3
% 0.32/4.17 % (2762734)Termination reason: Refutation
% 0.32/4.17 % (2762734)Time elapsed: 1.186 s
% 0.32/4.17 % (2762734)Peak memory usage: 130 MB
% 0.32/4.17 % (2762734)Instructions burned: 1118 (million)
% 0.32/4.17 % (2762734)------------------------------
% 0.32/4.17 % (2762734)------------------------------
% 0.32/4.17 % (2762705)Success in time 2.692 s
% 0.32/4.17 % Vampire exiting
%------------------------------------------------------------------------------