%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN178-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:49:51 PM UTC 2026
% Result : Unsatisfiable 2.92s 1.34s
% Output : Refutation 2.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of formulae : 47 ( 14 unt; 4 def)
% Number of atoms : 123 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 154 ( 78 ~; 72 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 5 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 52 ( 0 sgn 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).
fof(f106,axiom,
! [X0] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_068) ).
fof(f131,axiom,
! [X0,X1] :
( q1(X0,X0,X0)
| ~ q0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_093) ).
fof(f162,axiom,
! [X0,X1] :
( r1(X0)
| ~ q0(X0,X1)
| ~ s0(d)
| ~ q1(d,X1,d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_124) ).
fof(f215,axiom,
! [X0,X1] :
( q2(X0,X1,X1)
| ~ k0(X1)
| ~ p1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_177) ).
fof(f225,axiom,
! [X2,X3,X0,X1] :
( q2(X0,X1,X0)
| ~ r1(X1)
| ~ m0(X2,X3,X0)
| ~ k0(X1)
| ~ q2(X1,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_187) ).
fof(f293,axiom,
! [X2,X0,X1] :
( ~ q2(X2,X0,X1)
| q3(X0,X1)
| ~ n0(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_255) ).
fof(f369,negated_conjecture,
~ q3(b,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f420,definition,
( spl0_15
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f421,plain,
( ~ s0(d)
| spl0_15 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f423,definition,
( spl0_16
<=> ! [X0,X1] :
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f424,plain,
( ! [X0,X1] :
( ~ q1(d,X1,d)
| r1(X0)
| ~ q0(X0,X1) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f425,plain,
( ~ spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f162,f423,f420]) ).
fof(f1029,definition,
( spl0_188
<=> ! [X0] :
( p1(X0,X0,X0)
| ~ k0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).
fof(f1030,plain,
( ! [X0] :
( p1(X0,X0,X0)
| ~ k0(X0) )
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f1389,plain,
( $false
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f421,f1]) ).
fof(f1390,plain,
spl0_15,
inference(avatar_contradiction_clause,[],[f1389]) ).
fof(f1570,plain,
spl0_188,
inference(avatar_split_clause,[],[f106,f1029]) ).
fof(f2068,plain,
( ! [X0,X1] :
( r1(X0)
| ~ q0(X0,d)
| ~ q0(X1,d) )
| ~ spl0_16 ),
inference(resolution,[],[f424,f131]) ).
fof(f2090,plain,
( ! [X0,X1] :
( r1(X0)
| ~ q0(X1,d) )
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f2068,f17]) ).
fof(f2097,definition,
( spl0_300
<=> ! [X0] : r1(X0) ),
introduced(definition,[new_symbols(definition,[spl0_300])],[avatar_definition]) ).
fof(f2098,plain,
( ! [X0] : r1(X0)
| ~ spl0_300 ),
inference(avatar_component_clause,[],[f2097]) ).
fof(f2122,plain,
( ! [X0] : r1(X0)
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f2090,f17]) ).
fof(f2127,plain,
( spl0_300
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f2122,f423,f2097]) ).
fof(f3130,plain,
( ! [X2,X3,X0,X1] :
( q2(X0,X1,X0)
| ~ m0(X2,X3,X0)
| ~ k0(X1)
| ~ q2(X1,X1,X1) )
| ~ spl0_300 ),
inference(forward_subsumption_resolution,[],[f225,f2098]) ).
fof(f3132,plain,
( ! [X2,X3,X0,X1] :
( ~ q2(X3,X3,X3)
| ~ k0(X3)
| ~ m0(X0,X1,X2)
| q3(X3,X2)
| ~ n0(X2,X3) )
| ~ spl0_300 ),
inference(resolution,[],[f3130,f293]) ).
fof(f3870,plain,
( ! [X2,X3,X0,X1] :
( ~ k0(X0)
| ~ m0(X1,X2,X3)
| q3(X0,X3)
| ~ n0(X3,X0)
| ~ k0(X0)
| ~ p1(X0,X0,X0) )
| ~ spl0_300 ),
inference(resolution,[],[f3132,f215]) ).
fof(f3874,plain,
( ! [X2,X3,X0,X1] :
( ~ k0(X0)
| ~ m0(X1,X2,X3)
| q3(X0,X3)
| ~ n0(X3,X0)
| ~ p1(X0,X0,X0) )
| ~ spl0_300 ),
inference(duplicate_literal_removal,[],[f3870]) ).
fof(f3875,plain,
( ! [X2,X3,X0,X1] :
( ~ m0(X1,X2,X3)
| ~ k0(X0)
| q3(X0,X3)
| ~ n0(X3,X0) )
| ~ spl0_188
| ~ spl0_300 ),
inference(forward_subsumption_resolution,[],[f3874,f1030]) ).
fof(f4768,plain,
( ! [X0,X1] :
( q3(X0,X1)
| ~ k0(X0)
| ~ n0(X1,X0) )
| ~ spl0_188
| ~ spl0_300 ),
inference(resolution,[],[f3875,f19]) ).
fof(f4798,plain,
( ~ k0(b)
| ~ n0(d,b)
| ~ spl0_188
| ~ spl0_300 ),
inference(resolution,[],[f4768,f369]) ).
fof(f4806,plain,
( ~ n0(d,b)
| ~ spl0_188
| ~ spl0_300 ),
inference(forward_subsumption_resolution,[],[f4798,f32]) ).
fof(f4811,plain,
( $false
| ~ spl0_188
| ~ spl0_300 ),
inference(forward_subsumption_resolution,[],[f4806,f7]) ).
fof(f4812,plain,
( ~ spl0_188
| ~ spl0_300 ),
inference(avatar_contradiction_clause,[],[f4811]) ).
cnf(s7,plain,
( ~ spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f425]) ).
cnf(s153,plain,
spl0_15,
inference(sat_conversion,[],[f1390]) ).
cnf(s227,plain,
spl0_188,
inference(sat_conversion,[],[f1570]) ).
cnf(s317,plain,
( ~ spl0_16
| spl0_300 ),
inference(sat_conversion,[],[f2127]) ).
cnf(s581,plain,
( ~ spl0_188
| ~ spl0_300 ),
inference(sat_conversion,[],[f4812]) ).
cnf(s608,plain,
~ spl0_300,
inference(rat,[],[s581,s227]) ).
cnf(s609,plain,
~ spl0_16,
inference(rat,[],[s317,s608]) ).
cnf(s797,plain,
$false,
inference(rat,[],[s7,s609,s153]) ).
fof(f4813,plain,
$false,
inference(avatar_sat_refutation,[],[s797]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN178-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 % Computer : n026.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Mon Sep 28 15:40:27 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 Running first-order theorem proving
% 0.10/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.92/1.34 % (3953034)Input is clausal, will run a generic CNF schedule.
% 2.92/1.34 % (3953055)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1767131917:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.92/1.34 % (3953055)First to succeed.
% 2.92/1.34 % (3953055)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3953034"
% 2.92/1.34 % (3953057)dis-21_1_sil=8000:lcm=predicate:random_seed=1181107000: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)
% 2.92/1.34 % (3953052)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1235232286:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.92/1.34 % (3953051)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=3422767653:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.92/1.34 % (3953053)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3162605850:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.92/1.34 % (3953054)lrs+10_1_sil=8000:sp=occurrence:random_seed=2951321382:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.92/1.34 % (3953056)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4144986261:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.92/1.34 % (3953056)Also succeeded, but the first one will report.
% 2.92/1.34 % (3953057)Instruction limit reached!
% 2.92/1.34 % (3953057)------------------------------
% 2.92/1.34 % (3953057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.34 % (3953057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.34 % (3953057)CaDiCaL version: 2.1.3
% 2.92/1.34 % (3953057)Termination reason: Instruction limit
% 2.92/1.34 % (3953057)Termination phase: Saturation
% 2.92/1.34 % (3953057)Time elapsed: 0.056 s
% 2.92/1.34 % (3953057)Peak memory usage: 89 MB
% 2.92/1.34 % (3953057)Instructions burned: 118 (million)
% 2.92/1.34 % (3953054)Instruction limit reached!
% 2.92/1.34 % (3953054)------------------------------
% 2.92/1.34 % (3953054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.34 % (3953054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.34 % (3953054)CaDiCaL version: 2.1.3
% 2.92/1.34 % (3953054)Termination reason: Instruction limit
% 2.92/1.34 % (3953054)Termination phase: Saturation
% 2.92/1.34 % (3953054)Time elapsed: 0.071 s
% 2.92/1.34 % (3953054)Peak memory usage: 89 MB
% 2.92/1.34 % (3953054)Instructions burned: 108 (million)
% 2.92/1.34 % (3953055)Refutation found. Thanks to Tanya!
% 2.92/1.34 % SZS status Unsatisfiable for theBenchmark
% 2.92/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 2.92/1.34 % (3953055)------------------------------
% 2.92/1.34 % (3953055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.34 % (3953055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.34 % (3953055)CaDiCaL version: 2.1.3
% 2.92/1.34 % (3953055)Termination reason: Refutation
% 2.92/1.34 % (3953055)Time elapsed: 0.032 s
% 2.92/1.34 % (3953055)Peak memory usage: 91 MB
% 2.92/1.34 % (3953055)Instructions burned: 86 (million)
% 2.92/1.34 % (3953055)------------------------------
% 2.92/1.34 % (3953055)------------------------------
% 2.92/1.34 % (3953034)Success in time 0.292 s
% 2.92/1.34 % Vampire exiting
%------------------------------------------------------------------------------