%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA003-2 : 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 : n020.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 09:30:49 AM UTC 2026
% Result : Unsatisfiable 7.96s 2.16s
% Output : Refutation 9.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 20
% Syntax : Number of formulae : 79 ( 14 unt; 7 def)
% Number of atoms : 225 ( 6 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 310 ( 164 ~; 142 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X2,X0,X1] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ),
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(f10,axiom,
! [X0] :
( less_than(n0,half(X0))
| ~ less_than(n0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f11,negated_conjecture,
! [X0] :
( less_than(n0,fp31(X0))
| ~ less_than(n0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_10) ).
fof(f12,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(f13,negated_conjecture,
! [X0] :
( less_than(n0,fp32(X0))
| ~ less_than(n0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_12) ).
fof(f14,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(f15,negated_conjecture,
less_than(n0,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_14) ).
fof(f16,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(f17,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/sandbox2/benchmark/theBenchmark.p',c_16) ).
fof(f18,definition,
sF0 = minus(a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f19,plain,
minus(a) = sF0,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF1 = minus(l1),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f21,plain,
minus(l1) = sF1,
inference(reorient_equations,[],[f20]) ).
fof(f22,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,[],[f12,f21,f19]) ).
fof(f23,definition,
sF2 = minus(l2),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f24,plain,
minus(l2) = sF2,
inference(reorient_equations,[],[f23]) ).
fof(f25,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,[],[f14,f24,f19]) ).
fof(f26,plain,
! [X0] :
( ~ less_than(n0,X0)
| less_than(absolute(add(fp33(X0),sF0)),X0) ),
inference(definition_folding,[],[f16,f19]) ).
fof(f27,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,[],[f17,f24,f21]) ).
fof(f28,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,[],[f22,f19]) ).
fof(f29,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,[],[f25,f19]) ).
fof(f30,plain,
! [X0] :
( less_than(absolute(add(fp33(X0),minus(a))),X0)
| ~ less_than(n0,X0) ),
inference(backward_demodulation,[],[f26,f19]) ).
fof(f31,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,[],[f27,f21]) ).
fof(f32,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,[],[f29,f24]) ).
fof(f33,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,[],[f28,f21]) ).
fof(f34,plain,
! [X0] :
( ~ less_than(add(absolute(add(f(fp33(X0)),minus(l1))),absolute(add(g(fp33(X0)),minus(l2)))),b)
| ~ less_than(n0,X0) ),
inference(forward_demodulation,[],[f31,f24]) ).
fof(f37,plain,
! [X0] :
( ~ less_than(absolute(add(g(fp33(X0)),minus(l2))),half(b))
| ~ less_than(absolute(add(f(fp33(X0)),minus(l1))),half(b))
| ~ less_than(n0,X0) ),
inference(resolution,[],[f8,f34]) ).
fof(f39,plain,
! [X0] :
( ~ less_than(absolute(add(f(fp33(X0)),minus(l1))),half(b))
| ~ less_than(n0,X0)
| ~ less_than(absolute(add(fp33(X0),minus(a))),fp32(half(b)))
| ~ less_than(n0,half(b)) ),
inference(resolution,[],[f37,f32]) ).
fof(f42,definition,
( spl3_1
<=> less_than(n0,half(b)) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f43,plain,
( less_than(n0,half(b))
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f44,plain,
( ~ less_than(n0,half(b))
| spl3_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f46,definition,
( spl3_2
<=> ! [X0] :
( ~ less_than(absolute(add(f(fp33(X0)),minus(l1))),half(b))
| ~ less_than(absolute(add(fp33(X0),minus(a))),fp32(half(b)))
| ~ less_than(n0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f47,plain,
( ! [X0] :
( ~ less_than(absolute(add(fp33(X0),minus(a))),fp32(half(b)))
| ~ less_than(absolute(add(f(fp33(X0)),minus(l1))),half(b))
| ~ less_than(n0,X0) )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f48,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f39,f46,f42]) ).
fof(f49,plain,
( ~ less_than(n0,b)
| spl3_1 ),
inference(resolution,[],[f44,f10]) ).
fof(f51,plain,
( $false
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f49,f15]) ).
fof(f52,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f51]) ).
fof(f54,plain,
( ! [X0,X1] :
( ~ less_than(absolute(add(f(fp33(X0)),minus(l1))),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,[],[f47,f4]) ).
fof(f57,definition,
( spl3_3
<=> less_than(n0,fp32(half(b))) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f58,plain,
( less_than(n0,fp32(half(b)))
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f59,plain,
( ~ less_than(n0,fp32(half(b)))
| spl3_3 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f65,plain,
( ~ less_than(n0,half(b))
| spl3_3 ),
inference(resolution,[],[f59,f13]) ).
fof(f67,plain,
( $false
| ~ spl3_1
| spl3_3 ),
inference(forward_subsumption_resolution,[],[f65,f43]) ).
fof(f68,plain,
( ~ spl3_1
| spl3_3 ),
inference(avatar_contradiction_clause,[],[f67]) ).
fof(f120,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,[],[f54,f33]) ).
fof(f127,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,[],[f120,f43]) ).
fof(f130,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,[],[f127,f4]) ).
fof(f133,definition,
( spl3_14
<=> less_than(n0,fp31(half(b))) ),
introduced(definition,[new_symbols(definition,[spl3_14])],[avatar_definition]) ).
fof(f134,plain,
( less_than(n0,fp31(half(b)))
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f135,plain,
( ~ less_than(n0,fp31(half(b)))
| spl3_14 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f140,plain,
( ~ less_than(n0,half(b))
| spl3_14 ),
inference(resolution,[],[f135,f11]) ).
fof(f142,plain,
( $false
| ~ spl3_1
| spl3_14 ),
inference(forward_subsumption_resolution,[],[f140,f43]) ).
fof(f143,plain,
( ~ spl3_1
| spl3_14 ),
inference(avatar_contradiction_clause,[],[f142]) ).
fof(f149,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,[],[f130,f30]) ).
fof(f152,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,[],[f149]) ).
fof(f153,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,[],[f152,f30]) ).
fof(f156,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,[],[f153]) ).
fof(f162,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,[],[f156,f7]) ).
fof(f169,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,[],[f162,f5]) ).
fof(f172,plain,
( ! [X0] :
( ~ less_than(minimum(X0,fp32(half(b))),fp31(half(b)))
| ~ less_than(n0,X0) )
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3 ),
inference(forward_subsumption_resolution,[],[f169,f58]) ).
fof(f174,plain,
( ~ less_than(n0,fp31(half(b)))
| ~ less_than(n0,fp32(half(b)))
| ~ less_than(n0,fp31(half(b)))
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3 ),
inference(resolution,[],[f172,f6]) ).
fof(f176,plain,
( ~ less_than(n0,fp31(half(b)))
| ~ less_than(n0,fp32(half(b)))
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3 ),
inference(duplicate_literal_removal,[],[f174]) ).
fof(f177,plain,
( ~ less_than(n0,fp32(half(b)))
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_subsumption_resolution,[],[f176,f134]) ).
fof(f178,plain,
( $false
| ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_subsumption_resolution,[],[f177,f58]) ).
fof(f179,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f178]) ).
cnf(s1,plain,
( ~ spl3_1
| spl3_2 ),
inference(sat_conversion,[],[f48]) ).
cnf(s2,plain,
spl3_1,
inference(sat_conversion,[],[f52]) ).
cnf(s4,plain,
( ~ spl3_1
| spl3_3 ),
inference(sat_conversion,[],[f68]) ).
cnf(s11,plain,
( ~ spl3_1
| spl3_14 ),
inference(sat_conversion,[],[f143]) ).
cnf(s12,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_14 ),
inference(sat_conversion,[],[f179]) ).
cnf(s13,plain,
spl3_14,
inference(rat,[],[s11,s2]) ).
cnf(s14,plain,
spl3_3,
inference(rat,[],[s4,s2]) ).
cnf(s15,plain,
~ spl3_2,
inference(rat,[],[s12,s13,s2,s14]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s1,s15,s2]) ).
fof(f180,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ANA003-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.27 % Computer : n020.cluster.edu
% 0.23/0.27 % Model : x86_64 x86_64
% 0.23/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.27 % Memory : 8046.5625MB
% 0.23/0.27 % OS : Linux 6.8.0-71-generic
% 0.23/0.27 % CPULimit : 300
% 0.23/0.27 % WCLimit : 300
% 0.23/0.27 % DateTime : Mon Sep 28 20:26:05 UTC 2026
% 0.23/0.27 % CPUTime :
% 0.23/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.31 Running first-order theorem proving
% 0.23/0.31 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
% 7.96/2.16 % (498004)Input is clausal, will run a generic CNF schedule.
% 7.96/2.16 % (498015)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=2331520491:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.96/2.16 % (498018)lrs+10_1_sil=8000:sp=occurrence:random_seed=3054831888:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.96/2.16 % (498017)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1148192755:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.96/2.16 % (498019)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1415961801:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.96/2.16 % (498016)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4246951590:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.96/2.16 % (498020)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1289719618:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.96/2.16 % (498021)dis-21_1_sil=8000:lcm=predicate:random_seed=1367301277: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)
% 7.96/2.16 % (498018)Instruction limit reached!
% 7.96/2.16 % (498018)------------------------------
% 7.96/2.16 % (498018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.96/2.16 % (498018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.96/2.16 % (498018)CaDiCaL version: 2.1.3
% 7.96/2.16 % (498018)Termination reason: Instruction limit
% 7.96/2.16 % (498018)Termination phase: Saturation
% 7.96/2.16 % (498018)Time elapsed: 0.098 s
% 7.96/2.16 % (498018)Peak memory usage: 89 MB
% 7.96/2.16 % (498018)Instructions burned: 108 (million)
% 7.96/2.16 % (498019)Instruction limit reached!
% 7.96/2.16 % (498019)------------------------------
% 7.96/2.16 % (498019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.96/2.16 % (498019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.96/2.16 % (498019)CaDiCaL version: 2.1.3
% 7.96/2.16 % (498019)Termination reason: Instruction limit
% 7.96/2.16 % (498019)Termination phase: Saturation
% 7.96/2.16 % (498019)Time elapsed: 0.101 s
% 7.96/2.16 % (498019)Peak memory usage: 87 MB
% 7.96/2.16 % (498019)Instructions burned: 115 (million)
% 7.96/2.16 % (498021)Instruction limit reached!
% 7.96/2.16 % (498021)------------------------------
% 7.96/2.16 % (498021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.96/2.16 % (498021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.96/2.16 % (498021)CaDiCaL version: 2.1.3
% 7.96/2.16 % (498021)Termination reason: Instruction limit
% 7.96/2.16 % (498021)Termination phase: Saturation
% 7.96/2.16 % (498021)Time elapsed: 0.114 s
% 7.96/2.16 % (498021)Peak memory usage: 89 MB
% 7.96/2.16 % (498021)Instructions burned: 118 (million)
% 7.96/2.16 % (498020)Instruction limit reached!
% 7.96/2.16 % (498020)------------------------------
% 7.96/2.16 % (498020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.96/2.16 % (498020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.96/2.16 % (498020)CaDiCaL version: 2.1.3
% 7.96/2.16 % (498020)Termination reason: Instruction limit
% 7.96/2.16 % (498020)Termination phase: Saturation
% 7.96/2.16 % (498020)Time elapsed: 0.183 s
% 7.96/2.16 % (498020)Peak memory usage: 89 MB
% 7.96/2.16 % (498020)Instructions burned: 181 (million)
% 7.96/2.16 % (498032)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3734329421: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)
% 7.96/2.16 % (498031)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=1010326580:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 7.96/2.16 % (498033)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=242745689:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 7.96/2.16 % (498034)lrs+10_64_to=lpo:sil=8000:random_seed=2511325619:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 7.96/2.16 % (498031)Instruction limit reached!
% 7.96/2.16 % (498031)------------------------------
% 7.96/2.16 % (498031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.96/2.16 % (498031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.96/2.16 % (498031)CaDiCaL version: 2.1.3
% 7.96/2.16 % (498031)Termination reason: Instruction limit
% 7.96/2.16 % (498031)Termination phase: Saturation
% 7.96/2.16 % (498031)Time elapsed: 0.085 s
% 7.96/2.16 % (498031)Peak memory usage: 88 MB
% 7.96/2.16 % (498031)Instructions burned: 145 (million)
% 7.96/2.16 % (498032)Instruction limit reached!
% 7.96/2.16 % (498032)------------------------------
% 7.96/2.16 % (498032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.96/2.16 % (498032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.96/2.16 % (498032)CaDiCaL version: 2.1.3
% 7.96/2.16 % (498032)Termination reason: Instruction limit
% 7.96/2.16 % (498032)Termination phase: Saturation
% 7.96/2.16 % (498032)Time elapsed: 0.167 s
% 7.96/2.16 % (498032)Peak memory usage: 92 MB
% 7.96/2.16 % (498032)Instructions burned: 189 (million)
% 7.96/2.16 % (498034)Instruction limit reached!
% 7.96/2.16 % (498034)------------------------------
% 7.96/2.16 % (498034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.96/2.16 % (498034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.96/2.16 % (498034)CaDiCaL version: 2.1.3
% 7.96/2.16 % (498034)Termination reason: Instruction limit
% 7.96/2.16 % (498034)Termination phase: Saturation
% 7.96/2.16 % (498034)Time elapsed: 0.111 s
% 7.96/2.16 % (498034)Peak memory usage: 89 MB
% 7.96/2.16 % (498034)Instructions burned: 126 (million)
% 7.96/2.16 % (498033)Instruction limit reached!
% 7.96/2.16 % (498033)------------------------------
% 7.96/2.16 % (498033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.96/2.16 % (498033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.96/2.16 % (498033)CaDiCaL version: 2.1.3
% 7.96/2.16 % (498033)Termination reason: Instruction limit
% 7.96/2.16 % (498033)Termination phase: Saturation
% 7.96/2.16 % (498033)Time elapsed: 0.203 s
% 7.96/2.16 % (498033)Peak memory usage: 89 MB
% 7.96/2.16 % (498033)Instructions burned: 219 (million)
% 7.96/2.16 % (498039)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3057393957:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 7.96/2.16 % (498041)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=997114819:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 7.96/2.16 % (498040)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2778406724:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 7.96/2.16 % (498017)First to succeed.
% 7.96/2.16 % (498017)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-498004"
% 7.96/2.16 % (498042)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=3806956276:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 7.96/2.16 % (498039)Instruction limit reached!
% 7.96/2.16 % (498039)------------------------------
% 7.96/2.16 % (498039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.96/2.16 % (498039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.96/2.16 % (498039)CaDiCaL version: 2.1.3
% 7.96/2.16 % (498039)Termination reason: Instruction limit
% 7.96/2.16 % (498039)Termination phase: Saturation
% 7.96/2.16 % (498039)Time elapsed: 0.194 s
% 7.96/2.16 % (498039)Peak memory usage: 89 MB
% 7.96/2.16 % (498039)Instructions burned: 194 (million)
% 7.96/2.16 % (498040)Instruction limit reached!
% 7.96/2.16 % (498040)------------------------------
% 7.96/2.16 % (498040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.96/2.16 % (498040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.96/2.16 % (498040)CaDiCaL version: 2.1.3
% 7.96/2.16 % (498040)Termination reason: Instruction limit
% 7.96/2.16 % (498040)Termination phase: Saturation
% 7.96/2.16 % (498040)Time elapsed: 0.155 s
% 7.96/2.16 % (498040)Peak memory usage: 89 MB
% 7.96/2.16 % (498040)Instructions burned: 157 (million)
% 7.96/2.16 % (498042)Instruction limit reached!
% 7.96/2.16 % (498042)------------------------------
% 7.96/2.16 % (498042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.96/2.16 % (498042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.96/2.16 % (498042)CaDiCaL version: 2.1.3
% 7.96/2.16 % (498042)Termination reason: Instruction limit
% 7.96/2.16 % (498042)Termination phase: Saturation
% 7.96/2.16 % (498042)Time elapsed: 0.089 s
% 7.96/2.16 % (498042)Peak memory usage: 89 MB
% 7.96/2.16 % (498042)Instructions burned: 107 (million)
% 7.96/2.16 % (498017)Refutation found. Thanks to Tanya!
% 7.96/2.16 % SZS status Unsatisfiable for theBenchmark
% 7.96/2.16 % SZS output start Proof for theBenchmark
% See solution above
% 9.62/2.32 % (498017)------------------------------
% 9.62/2.32 % (498017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.32 % (498017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.32 % (498017)CaDiCaL version: 2.1.3
% 9.62/2.32 % (498017)Termination reason: Refutation
% 9.62/2.32 % (498017)Time elapsed: 0.769 s
% 9.62/2.32 % (498017)Peak memory usage: 129 MB
% 9.62/2.32 % (498017)Instructions burned: 944 (million)
% 9.62/2.32 % (498017)------------------------------
% 9.62/2.32 % (498017)------------------------------
% 9.62/2.32 % (498004)Success in time 1.243 s
% 9.62/2.32 % Vampire exiting
%------------------------------------------------------------------------------