%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA004-1 : 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 : n018.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 11.25s 2.24s
% Output : Refutation 11.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 73 ( 10 unt; 4 def)
% Number of atoms : 188 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 239 ( 124 ~; 111 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 74 ( 0 sgn 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X2,X0,X1] :
( ~ less_than(X1,X2)
| ~ less_than(X0,X1)
| less_than(X0,X2) ),
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(f9,axiom,
! [X2,X0,X1] :
( ~ less_than(add(absolute(X0),absolute(X1)),X2)
| less_than(absolute(add(X0,X1)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_17) ).
fof(f10,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f11,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6_1) ).
fof(f12,axiom,
! [X0] :
( less_than(n0,half(X0))
| ~ less_than(n0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6_2) ).
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(absolute(add(add(f(fp33(X0)),minus(l1)),add(g(fp33(X0)),minus(l2)))),b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_16) ).
fof(f22,plain,
! [X0] :
( ~ less_than(absolute(add(f(fp33(X0)),add(minus(l1),add(g(fp33(X0)),minus(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(f26,plain,
! [X0] :
( ~ less_than(absolute(add(f(fp33(X0)),add(minus(l1),add(minus(l2),g(fp33(X0)))))),b)
| ~ less_than(n0,X0) ),
inference(forward_demodulation,[],[f22,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(f64,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(f65,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(f91,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(f109,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,[],[f91,f10]) ).
fof(f112,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,[],[f109,f26]) ).
fof(f131,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,[],[f112,f11]) ).
fof(f144,definition,
( spl0_3
<=> less_than(n0,half(b)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f145,plain,
( less_than(n0,half(b))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f146,plain,
( ~ less_than(n0,half(b))
| spl0_3 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f177,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,[],[f64,f23]) ).
fof(f198,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,[],[f177,f5]) ).
fof(f200,plain,
! [X0,X1] :
( ~ less_than(n0,X0)
| ~ less_than(n0,fp32(X1))
| ~ less_than(n0,X1)
| less_than(absolute(add(minus(l2),g(fp33(minimum(fp32(X1),X0))))),X1) ),
inference(resolution,[],[f198,f33]) ).
fof(f204,plain,
! [X0,X1] :
( less_than(absolute(add(minus(l2),g(fp33(minimum(fp32(X1),X0))))),X1)
| ~ less_than(n0,X1)
| ~ less_than(n0,X0) ),
inference(forward_subsumption_resolution,[],[f200,f17]) ).
fof(f209,plain,
! [X0] :
( ~ less_than(n0,half(b))
| ~ less_than(n0,X0)
| ~ less_than(absolute(add(minus(l1),f(fp33(minimum(fp32(half(b)),X0))))),half(b))
| ~ less_than(n0,minimum(fp32(half(b)),X0)) ),
inference(resolution,[],[f204,f131]) ).
fof(f214,definition,
( spl0_9
<=> ! [X0] :
( ~ less_than(n0,X0)
| ~ less_than(n0,minimum(fp32(half(b)),X0))
| ~ less_than(absolute(add(minus(l1),f(fp33(minimum(fp32(half(b)),X0))))),half(b)) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f215,plain,
( ! [X0] :
( ~ less_than(absolute(add(minus(l1),f(fp33(minimum(fp32(half(b)),X0))))),half(b))
| ~ less_than(n0,minimum(fp32(half(b)),X0))
| ~ less_than(n0,X0) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f216,plain,
( spl0_9
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f209,f144,f214]) ).
fof(f217,plain,
( ~ less_than(n0,b)
| spl0_3 ),
inference(resolution,[],[f146,f12]) ).
fof(f218,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f217,f19]) ).
fof(f219,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f218]) ).
fof(f322,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,[],[f65,f23]) ).
fof(f349,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,[],[f322,f5]) ).
fof(f350,plain,
! [X0,X1] :
( ~ less_than(n0,fp31(X0))
| ~ less_than(n0,X1)
| ~ less_than(n0,X0)
| less_than(absolute(add(minus(l1),f(fp33(minimum(X1,fp31(X0)))))),X0) ),
inference(resolution,[],[f349,f32]) ).
fof(f360,plain,
! [X0,X1] :
( less_than(absolute(add(minus(l1),f(fp33(minimum(X1,fp31(X0)))))),X0)
| ~ less_than(n0,X0)
| ~ less_than(n0,X1) ),
inference(forward_subsumption_resolution,[],[f350,f15]) ).
fof(f361,plain,
( ~ less_than(n0,half(b))
| ~ less_than(n0,fp32(half(b)))
| ~ less_than(n0,minimum(fp32(half(b)),fp31(half(b))))
| ~ less_than(n0,fp31(half(b)))
| ~ spl0_9 ),
inference(resolution,[],[f360,f215]) ).
fof(f369,plain,
( ~ less_than(n0,half(b))
| ~ less_than(n0,minimum(fp32(half(b)),fp31(half(b))))
| ~ less_than(n0,fp31(half(b)))
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f361,f17]) ).
fof(f370,plain,
( ~ less_than(n0,half(b))
| ~ less_than(n0,minimum(fp32(half(b)),fp31(half(b))))
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f369,f15]) ).
fof(f371,plain,
( ~ less_than(n0,minimum(fp32(half(b)),fp31(half(b))))
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f370,f145]) ).
fof(f372,plain,
( ~ less_than(n0,fp31(half(b)))
| ~ less_than(n0,fp32(half(b)))
| ~ spl0_3
| ~ spl0_9 ),
inference(resolution,[],[f371,f5]) ).
fof(f374,definition,
( spl0_15
<=> less_than(n0,fp32(half(b))) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f376,plain,
( ~ less_than(n0,fp32(half(b)))
| spl0_15 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f378,definition,
( spl0_16
<=> less_than(n0,fp31(half(b))) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f380,plain,
( ~ less_than(n0,fp31(half(b)))
| spl0_16 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f381,plain,
( ~ spl0_15
| ~ spl0_16
| ~ spl0_3
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f372,f214,f144,f378,f374]) ).
fof(f382,plain,
( ~ less_than(n0,half(b))
| spl0_15 ),
inference(resolution,[],[f376,f17]) ).
fof(f383,plain,
( $false
| ~ spl0_3
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f382,f145]) ).
fof(f384,plain,
( ~ spl0_3
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f383]) ).
fof(f396,plain,
( ~ less_than(n0,half(b))
| spl0_16 ),
inference(resolution,[],[f380,f15]) ).
fof(f397,plain,
( $false
| ~ spl0_3
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f396,f145]) ).
fof(f398,plain,
( ~ spl0_3
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f397]) ).
cnf(s5,plain,
( ~ spl0_3
| spl0_9 ),
inference(sat_conversion,[],[f216]) ).
cnf(s6,plain,
spl0_3,
inference(sat_conversion,[],[f219]) ).
cnf(s10,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f381]) ).
cnf(s11,plain,
( ~ spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f384]) ).
cnf(s12,plain,
( ~ spl0_3
| spl0_16 ),
inference(sat_conversion,[],[f398]) ).
cnf(s13,plain,
spl0_16,
inference(rat,[],[s12,s6]) ).
cnf(s14,plain,
spl0_15,
inference(rat,[],[s11,s6]) ).
cnf(s15,plain,
~ spl0_9,
inference(rat,[],[s10,s13,s14,s6]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s5,s15,s6]) ).
fof(f399,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n018.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Mon Sep 28 20:27:41 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 Running first-order theorem proving
% 0.10/0.19 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
% 7.40/2.03 % (3729153)Input is clausal, will run a generic CNF schedule.
% 7.40/2.03 % (3729160)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4060877607:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.40/2.03 % (3729163)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=509787901:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.40/2.03 % (3729164)dis-21_1_sil=8000:lcm=predicate:random_seed=406949218: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)
% 7.40/2.03 % (3729162)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1839826909:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.40/2.03 % (3729161)lrs+10_1_sil=8000:sp=occurrence:random_seed=577390148:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.40/2.03 % (3729159)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3423923421:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.40/2.03 % (3729158)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=1998996518:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.40/2.03 % (3729161)Instruction limit reached!
% 7.40/2.03 % (3729161)------------------------------
% 7.40/2.03 % (3729161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.40/2.03 % (3729161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.40/2.03 % (3729161)CaDiCaL version: 2.1.3
% 7.40/2.03 % (3729161)Termination reason: Instruction limit
% 7.40/2.03 % (3729161)Termination phase: Saturation
% 7.40/2.03 % (3729161)Time elapsed: 0.064 s
% 7.40/2.03 % (3729161)Peak memory usage: 89 MB
% 7.40/2.03 % (3729161)Instructions burned: 108 (million)
% 7.40/2.03 % (3729164)Instruction limit reached!
% 7.40/2.03 % (3729164)------------------------------
% 7.40/2.03 % (3729164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.40/2.03 % (3729164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.40/2.03 % (3729164)CaDiCaL version: 2.1.3
% 7.40/2.03 % (3729164)Termination reason: Instruction limit
% 7.40/2.03 % (3729164)Termination phase: Saturation
% 7.40/2.03 % (3729164)Time elapsed: 0.070 s
% 7.40/2.03 % (3729164)Peak memory usage: 89 MB
% 7.40/2.03 % (3729164)Instructions burned: 117 (million)
% 7.40/2.03 % (3729162)Instruction limit reached!
% 7.40/2.03 % (3729162)------------------------------
% 7.40/2.03 % (3729162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.40/2.03 % (3729162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.40/2.03 % (3729162)CaDiCaL version: 2.1.3
% 7.40/2.03 % (3729162)Termination reason: Instruction limit
% 7.40/2.03 % (3729162)Termination phase: Saturation
% 7.40/2.03 % (3729162)Time elapsed: 0.071 s
% 7.40/2.03 % (3729162)Peak memory usage: 89 MB
% 7.40/2.03 % (3729162)Instructions burned: 115 (million)
% 7.40/2.03 % (3729163)Instruction limit reached!
% 7.40/2.03 % (3729163)------------------------------
% 7.40/2.03 % (3729163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.40/2.03 % (3729163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.40/2.03 % (3729163)CaDiCaL version: 2.1.3
% 7.40/2.03 % (3729163)Termination reason: Instruction limit
% 7.40/2.03 % (3729163)Termination phase: Saturation
% 7.40/2.03 % (3729163)Time elapsed: 0.107 s
% 7.40/2.03 % (3729163)Peak memory usage: 89 MB
% 7.40/2.03 % (3729163)Instructions burned: 180 (million)
% 7.40/2.03 % (3729174)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3161272508:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.40/2.03 % (3729173)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=319538610: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)
% 7.40/2.03 % (3729172)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=1400963515:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.40/2.03 % (3729175)lrs+10_64_to=lpo:sil=8000:random_seed=2622214082:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 7.40/2.03 % (3729172)Instruction limit reached!
% 8.51/2.15 % (3729172)------------------------------
% 8.51/2.15 % (3729172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.51/2.15 % (3729172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/2.15 % (3729172)CaDiCaL version: 2.1.3
% 8.51/2.15 % (3729172)Termination reason: Instruction limit
% 8.51/2.15 % (3729172)Termination phase: Saturation
% 8.51/2.15 % (3729172)Time elapsed: 0.087 s
% 8.51/2.15 % (3729172)Peak memory usage: 89 MB
% 8.51/2.15 % (3729172)Instructions burned: 143 (million)
% 8.51/2.15 % (3729173)Instruction limit reached!
% 8.51/2.15 % (3729173)------------------------------
% 8.51/2.15 % (3729173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.51/2.15 % (3729173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/2.15 % (3729173)CaDiCaL version: 2.1.3
% 8.51/2.15 % (3729173)Termination reason: Instruction limit
% 8.51/2.15 % (3729173)Termination phase: Saturation
% 8.51/2.15 % (3729173)Time elapsed: 0.098 s
% 8.51/2.15 % (3729173)Peak memory usage: 91 MB
% 8.51/2.15 % (3729173)Instructions burned: 190 (million)
% 8.51/2.15 % (3729174)Instruction limit reached!
% 8.51/2.15 % (3729174)------------------------------
% 8.51/2.15 % (3729174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.51/2.15 % (3729174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/2.15 % (3729174)CaDiCaL version: 2.1.3
% 8.51/2.15 % (3729174)Termination reason: Instruction limit
% 8.51/2.15 % (3729174)Termination phase: Saturation
% 8.51/2.15 % (3729174)Time elapsed: 0.124 s
% 8.51/2.15 % (3729174)Peak memory usage: 89 MB
% 8.51/2.15 % (3729174)Instructions burned: 219 (million)
% 8.51/2.15 % (3729175)Instruction limit reached!
% 8.51/2.15 % (3729175)------------------------------
% 8.51/2.15 % (3729175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.51/2.15 % (3729175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/2.15 % (3729175)CaDiCaL version: 2.1.3
% 8.51/2.15 % (3729175)Termination reason: Instruction limit
% 8.51/2.15 % (3729175)Termination phase: Saturation
% 8.51/2.15 % (3729175)Time elapsed: 0.076 s
% 8.51/2.15 % (3729175)Peak memory usage: 89 MB
% 8.51/2.15 % (3729175)Instructions burned: 126 (million)
% 8.51/2.15 % (3729180)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=175242577:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.51/2.15 % (3729181)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3791028298:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 8.51/2.15 % (3729182)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3504373325:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 8.51/2.15 % (3729183)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=2068290093:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 8.51/2.15 % (3729183)Instruction limit reached!
% 8.51/2.15 % (3729183)------------------------------
% 8.51/2.15 % (3729183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.51/2.15 % (3729183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/2.15 % (3729183)CaDiCaL version: 2.1.3
% 8.51/2.15 % (3729183)Termination reason: Instruction limit
% 8.51/2.15 % (3729183)Termination phase: Saturation
% 8.51/2.15 % (3729183)Time elapsed: 0.054 s
% 8.51/2.15 % (3729183)Peak memory usage: 90 MB
% 8.51/2.15 % (3729183)Instructions burned: 107 (million)
% 8.51/2.15 % (3729180)Instruction limit reached!
% 8.51/2.15 % (3729180)------------------------------
% 8.51/2.15 % (3729180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.51/2.15 % (3729180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/2.15 % (3729180)CaDiCaL version: 2.1.3
% 8.51/2.15 % (3729180)Termination reason: Instruction limit
% 8.51/2.15 % (3729180)Termination phase: Saturation
% 8.51/2.15 % (3729180)Time elapsed: 0.114 s
% 8.51/2.15 % (3729180)Peak memory usage: 90 MB
% 8.51/2.15 % (3729180)Instructions burned: 194 (million)
% 8.51/2.15 % (3729181)Instruction limit reached!
% 8.51/2.15 % (3729181)------------------------------
% 8.51/2.15 % (3729181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.51/2.15 % (3729181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/2.15 % (3729181)CaDiCaL version: 2.1.3
% 8.51/2.15 % (3729181)Termination reason: Instruction limit
% 8.51/2.15 % (3729181)Termination phase: Saturation
% 8.51/2.15 % (3729181)Time elapsed: 0.097 s
% 8.51/2.15 % (3729181)Peak memory usage: 90 MB
% 8.51/2.15 % (3729181)Instructions burned: 158 (million)
% 8.51/2.15 % (3729188)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3144347621:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 8.51/2.15 % (3729190)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=778260804:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 8.51/2.15 % (3729189)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2170238326:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 8.51/2.15 % (3729188)Instruction limit reached!
% 8.51/2.15 % (3729188)------------------------------
% 8.51/2.15 % (3729188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.51/2.15 % (3729188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/2.15 % (3729188)CaDiCaL version: 2.1.3
% 8.51/2.15 % (3729188)Termination reason: Instruction limit
% 8.51/2.15 % (3729188)Termination phase: Saturation
% 8.51/2.15 % (3729188)Time elapsed: 0.061 s
% 8.51/2.15 % (3729188)Peak memory usage: 89 MB
% 8.51/2.15 % (3729188)Instructions burned: 107 (million)
% 8.51/2.15 % (3729189)Instruction limit reached!
% 8.51/2.15 % (3729189)------------------------------
% 8.51/2.15 % (3729189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.51/2.15 % (3729189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/2.15 % (3729189)CaDiCaL version: 2.1.3
% 8.51/2.15 % (3729189)Termination reason: Instruction limit
% 8.51/2.15 % (3729189)Termination phase: Saturation
% 8.51/2.15 % (3729189)Time elapsed: 0.111 s
% 8.51/2.15 % (3729189)Peak memory usage: 88 MB
% 8.51/2.15 % (3729189)Instructions burned: 242 (million)
% 8.51/2.15 % (3729194)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3255086415:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 8.51/2.15 % (3729195)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3163629141:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 8.51/2.15 % (3729194)Instruction limit reached!
% 8.51/2.15 % (3729194)------------------------------
% 8.51/2.15 % (3729194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.51/2.15 % (3729194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/2.15 % (3729194)CaDiCaL version: 2.1.3
% 8.51/2.15 % (3729194)Termination reason: Instruction limit
% 8.51/2.15 % (3729194)Termination phase: Saturation
% 8.51/2.15 % (3729194)Time elapsed: 0.081 s
% 8.51/2.15 % (3729194)Peak memory usage: 91 MB
% 8.51/2.15 % (3729194)Instructions burned: 136 (million)
% 8.51/2.15 % (3729198)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2498683236:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 8.51/2.15 % (3729182)First to succeed.
% 8.51/2.15 % (3729182)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3729153"
% 8.51/2.15 % (3729198)Instruction limit reached!
% 8.51/2.15 % (3729198)------------------------------
% 8.51/2.15 % (3729198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.51/2.15 % (3729198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/2.15 % (3729198)CaDiCaL version: 2.1.3
% 8.51/2.15 % (3729198)Termination reason: Instruction limit
% 8.51/2.15 % (3729198)Termination phase: Saturation
% 8.51/2.15 % (3729198)Time elapsed: 0.106 s
% 8.51/2.15 % (3729198)Peak memory usage: 91 MB
% 8.51/2.15 % (3729198)Instructions burned: 193 (million)
% 8.51/2.15 % (3729195)Instruction limit reached!
% 8.51/2.15 % (3729195)------------------------------
% 8.51/2.15 % (3729195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.51/2.15 % (3729195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/2.15 % (3729195)CaDiCaL version: 2.1.3
% 8.51/2.15 % (3729195)Termination reason: Instruction limit
% 8.51/2.15 % (3729195)Termination phase: Saturation
% 8.51/2.15 % (3729195)Time elapsed: 0.256 s
% 8.51/2.15 % (3729195)Peak memory usage: 98 MB
% 8.51/2.15 % (3729195)Instructions burned: 500 (million)
% 8.51/2.15 % (3729160)Also succeeded, but the first one will report.
% 8.51/2.15 % (3729200)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3286159943:i=264:kws=precedence:fsr=off_2987 on theBenchmark for (2987ds/264Mi)
% 11.25/2.24 % (3729201)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=596229057:cond=on:i=156:bs=on:gtg=exists_all:er=known_2987 on theBenchmark for (2987ds/156Mi)
% 11.25/2.24 % (3729190)Also succeeded, but the first one will report.
% 11.25/2.24 % (3729182)Refutation found. Thanks to Tanya!
% 11.25/2.24 % SZS status Unsatisfiable for theBenchmark
% 11.25/2.24 % SZS output start Proof for theBenchmark
% See solution above
% 11.25/2.24 % (3729182)------------------------------
% 11.25/2.24 % (3729182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.25/2.24 % (3729182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.24 % (3729182)CaDiCaL version: 2.1.3
% 11.25/2.24 % (3729182)Termination reason: Refutation
% 11.25/2.24 % (3729182)Time elapsed: 0.679 s
% 11.25/2.24 % (3729182)Peak memory usage: 129 MB
% 11.25/2.24 % (3729182)Instructions burned: 1027 (million)
% 11.25/2.24 % (3729182)------------------------------
% 11.25/2.24 % (3729182)------------------------------
% 11.25/2.24 % (3729153)Success in time 1.526 s
% 11.25/2.24 % Vampire exiting
%------------------------------------------------------------------------------