%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN726-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 02:01:21 PM UTC 2026
% Result : Unsatisfiable 2.76s 1.17s
% Output : Refutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 62 ( 12 unt; 6 def)
% Number of atoms : 127 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 133 ( 68 ~; 59 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X0,X1] :
( p(X0,X1)
| ~ p(X0,X2)
| ~ p(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm400_1) ).
fof(f2,negated_conjecture,
! [X2,X0,X1] :
( q(X0,X1)
| ~ q(X0,X2)
| ~ q(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm400_2) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( q(X0,X1)
| ~ q(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm400_3) ).
fof(f4,negated_conjecture,
! [X0,X1] :
( p(X0,X1)
| q(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm400_4) ).
fof(f5,negated_conjecture,
~ p(sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm400_5) ).
fof(f6,negated_conjecture,
~ q(sk3,sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm400_6) ).
fof(f7,plain,
~ q(sk4,sk3),
inference(resolution,[],[f3,f6]) ).
fof(f8,plain,
q(sk1,sk2),
inference(resolution,[],[f4,f5]) ).
fof(f10,plain,
! [X0] :
( ~ p(sk1,X0)
| ~ p(X0,sk2) ),
inference(resolution,[],[f1,f5]) ).
fof(f11,plain,
! [X0] :
( ~ q(sk3,X0)
| ~ q(X0,sk4) ),
inference(resolution,[],[f2,f6]) ).
fof(f12,plain,
! [X0] :
( ~ q(sk4,X0)
| ~ q(X0,sk3) ),
inference(resolution,[],[f2,f7]) ).
fof(f14,plain,
! [X0] :
( ~ p(X0,sk2)
| q(sk1,X0) ),
inference(resolution,[],[f10,f4]) ).
fof(f18,plain,
! [X0] :
( ~ q(X0,sk4)
| ~ q(X0,sk3) ),
inference(resolution,[],[f11,f3]) ).
fof(f26,plain,
! [X0] :
( q(X0,sk2)
| q(sk1,X0) ),
inference(resolution,[],[f14,f4]) ).
fof(f48,plain,
( q(sk1,sk3)
| ~ q(sk2,sk4) ),
inference(resolution,[],[f26,f11]) ).
fof(f50,plain,
( q(sk1,sk4)
| ~ q(sk2,sk3) ),
inference(resolution,[],[f26,f12]) ).
fof(f53,definition,
( spl0_1
<=> q(sk2,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f54,plain,
( ~ q(sk2,sk4)
| spl0_1 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f60,definition,
( spl0_3
<=> q(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f61,plain,
( ~ q(sk2,sk3)
| spl0_3 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f63,definition,
( spl0_4
<=> q(sk1,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f64,plain,
( q(sk1,sk4)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f65,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f50,f63,f60]) ).
fof(f71,definition,
( spl0_6
<=> q(sk1,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f72,plain,
( q(sk1,sk3)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f73,plain,
( ~ spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f48,f71,f53]) ).
fof(f75,definition,
( spl0_7
<=> ! [X0] :
( ~ q(X0,sk4)
| ~ q(sk2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f76,plain,
( ! [X0] :
( ~ q(X0,sk4)
| ~ q(sk2,X0) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f78,plain,
( ! [X0] :
( ~ q(sk2,X0)
| ~ q(X0,sk4) )
| spl0_1 ),
inference(resolution,[],[f54,f2]) ).
fof(f79,plain,
( ~ q(sk4,sk2)
| spl0_1 ),
inference(resolution,[],[f54,f3]) ).
fof(f80,plain,
( spl0_7
| spl0_1 ),
inference(avatar_split_clause,[],[f78,f53,f75]) ).
fof(f81,plain,
( ! [X0] :
( ~ q(sk2,X0)
| ~ q(X0,sk3) )
| spl0_3 ),
inference(resolution,[],[f61,f2]) ).
fof(f88,plain,
( q(sk1,sk4)
| spl0_1 ),
inference(resolution,[],[f79,f26]) ).
fof(f91,plain,
( spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f88,f53,f63]) ).
fof(f98,plain,
( ! [X0] :
( ~ q(X0,sk4)
| ~ q(X0,sk2) )
| ~ spl0_7 ),
inference(resolution,[],[f76,f3]) ).
fof(f100,plain,
( ! [X0] :
( ~ q(X0,sk3)
| ~ q(X0,sk2) )
| spl0_3 ),
inference(resolution,[],[f81,f3]) ).
fof(f129,plain,
( ~ q(sk1,sk2)
| spl0_3
| ~ spl0_6 ),
inference(resolution,[],[f100,f72]) ).
fof(f136,definition,
( spl0_10
<=> q(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f137,plain,
( ~ q(sk1,sk2)
| spl0_10 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f143,plain,
( ~ spl0_10
| spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f129,f71,f60,f136]) ).
fof(f159,plain,
( $false
| spl0_10 ),
inference(resolution,[],[f137,f8]) ).
fof(f165,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f159]) ).
fof(f167,plain,
( ~ q(sk1,sk3)
| ~ spl0_4 ),
inference(resolution,[],[f64,f18]) ).
fof(f168,plain,
( $false
| ~ spl0_4
| ~ spl0_6 ),
inference(resolution,[],[f167,f72]) ).
fof(f173,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f168]) ).
fof(f192,plain,
( ~ q(sk1,sk2)
| ~ spl0_4
| ~ spl0_7 ),
inference(resolution,[],[f98,f64]) ).
fof(f193,plain,
( ~ spl0_10
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f192,f75,f63,f136]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f65]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f73]) ).
cnf(s6,plain,
( spl0_1
| spl0_7 ),
inference(sat_conversion,[],[f80]) ).
cnf(s9,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f91]) ).
cnf(s13,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_10 ),
inference(sat_conversion,[],[f143]) ).
cnf(s15,plain,
spl0_10,
inference(sat_conversion,[],[f165]) ).
cnf(s17,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f173]) ).
cnf(s21,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_10 ),
inference(sat_conversion,[],[f193]) ).
cnf(s22,plain,
( spl0_3
| ~ spl0_6 ),
inference(rat,[],[s13,s15]) ).
cnf(s25,plain,
spl0_1,
inference(rat,[],[s21,s6,s9,s15]) ).
cnf(s26,plain,
spl0_6,
inference(rat,[],[s4,s25]) ).
cnf(s28,plain,
~ spl0_4,
inference(rat,[],[s17,s26]) ).
cnf(s29,plain,
spl0_3,
inference(rat,[],[s22,s26]) ).
cnf(s31,plain,
$false,
inference(rat,[],[s2,s28,s29]) ).
fof(f194,plain,
$false,
inference(avatar_sat_refutation,[],[s31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN726-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n016.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 16:54:18 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 2.76/1.17 % (3756665)Input is clausal, will run a generic CNF schedule.
% 2.76/1.17 % (3756676)dis-21_1_sil=8000:lcm=predicate:random_seed=3887291412: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)
% 2.76/1.17 % (3756676)First to succeed.
% 2.76/1.17 % (3756676)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3756665"
% 2.76/1.17 % (3756674)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2911878635:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.76/1.17 % (3756671)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2590052398:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.76/1.17 % (3756670)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=2244153276:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.76/1.17 % (3756675)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1155074071:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.76/1.17 % (3756672)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4137424314:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.76/1.17 % (3756673)lrs+10_1_sil=8000:sp=occurrence:random_seed=2517132984:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.76/1.17 % (3756674)Also succeeded, but the first one will report.
% 2.76/1.17 % (3756673)Also succeeded, but the first one will report.
% 2.76/1.17 % (3756675)Also succeeded, but the first one will report.
% 2.76/1.17 % (3756676)Refutation found. Thanks to Tanya!
% 2.76/1.17 % SZS status Unsatisfiable for theBenchmark
% 2.76/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.76/1.17 % (3756676)------------------------------
% 2.76/1.17 % (3756676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.76/1.17 % (3756676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/1.17 % (3756676)CaDiCaL version: 2.1.3
% 2.76/1.17 % (3756676)Termination reason: Refutation
% 2.76/1.17 % (3756676)Time elapsed: 0.003 s
% 2.76/1.17 % (3756676)Peak memory usage: 89 MB
% 2.76/1.17 % (3756676)Instructions burned: 4 (million)
% 2.76/1.17 % (3756676)------------------------------
% 2.76/1.17 % (3756676)------------------------------
% 2.76/1.17 % (3756665)Success in time 0.295 s
% 2.76/1.17 % Vampire exiting
%------------------------------------------------------------------------------