%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN570-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 02:00:59 PM UTC 2026
% Result : Unsatisfiable 2.73s 1.17s
% Output : Refutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 40 ( 15 unt; 4 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 72 ( 35 ~; 33 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 23 ( 0 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
fof(f5,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
fof(f7,negated_conjecture,
p9(c15,f8(c13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_7) ).
fof(f8,negated_conjecture,
p2(c12,f5(c15)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).
fof(f9,negated_conjecture,
! [X0] : p3(f4(f5(X0)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_9) ).
fof(f10,negated_conjecture,
~ p9(f4(c12),f8(c13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p9_10) ).
fof(f13,negated_conjecture,
! [X0,X1] :
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_13) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( p3(X0,X1)
| ~ p3(X2,X0)
| ~ p3(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_17) ).
fof(f18,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_18) ).
fof(f19,negated_conjecture,
! [X2,X3,X0,X1] :
( p9(X0,X1)
| ~ p7(X2,X1)
| ~ p9(X3,X2)
| ~ p3(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_19) ).
fof(f26,plain,
! [X2,X0,X1] :
( p3(f4(X1),f4(X2))
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(resolution,[],[f18,f13]) ).
fof(f27,plain,
! [X0,X1] :
( ~ p9(X1,X0)
| ~ p7(X0,f8(c13))
| ~ p3(X1,f4(c12)) ),
inference(resolution,[],[f19,f10]) ).
fof(f28,plain,
( ~ p7(f8(c13),f8(c13))
| ~ p3(c15,f4(c12)) ),
inference(resolution,[],[f27,f7]) ).
fof(f31,definition,
( spl0_1
<=> p3(c15,f4(c12)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f32,plain,
( ~ p3(c15,f4(c12))
| spl0_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f34,definition,
( spl0_2
<=> p7(f8(c13),f8(c13)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f35,plain,
( ~ p7(f8(c13),f8(c13))
| spl0_2 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f36,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f28,f34,f31]) ).
fof(f37,plain,
( ! [X0] :
( ~ p3(X0,f4(c12))
| ~ p3(X0,c15) )
| spl0_1 ),
inference(resolution,[],[f32,f17]) ).
fof(f38,plain,
( ! [X0,X1] :
( ~ p2(X1,c12)
| ~ p2(X1,X0)
| ~ p3(f4(X0),c15) )
| spl0_1 ),
inference(resolution,[],[f37,f26]) ).
fof(f53,plain,
( ~ p2(c12,c12)
| ~ p3(f4(f5(c15)),c15)
| spl0_1 ),
inference(resolution,[],[f38,f8]) ).
fof(f57,definition,
( spl0_3
<=> p3(f4(f5(c15)),c15) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f58,plain,
( ~ p3(f4(f5(c15)),c15)
| spl0_3 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f60,definition,
( spl0_4
<=> p2(c12,c12) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f61,plain,
( ~ p2(c12,c12)
| spl0_4 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f62,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f53,f31,f60,f57]) ).
fof(f63,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f58,f9]) ).
fof(f65,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f63]) ).
fof(f83,plain,
( $false
| spl0_4 ),
inference(resolution,[],[f61,f5]) ).
fof(f86,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f83]) ).
fof(f97,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f35,f2]) ).
fof(f100,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f97]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f36]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f62]) ).
cnf(s3,plain,
spl0_3,
inference(sat_conversion,[],[f65]) ).
cnf(s5,plain,
spl0_4,
inference(sat_conversion,[],[f86]) ).
cnf(s7,plain,
spl0_2,
inference(sat_conversion,[],[f100]) ).
cnf(s8,plain,
spl0_1,
inference(rat,[],[s2,s5,s3]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s1,s7,s8]) ).
fof(f102,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN570-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n013.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 16:28:21 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 2.73/1.17 % (1311973)Input is clausal, will run a generic CNF schedule.
% 2.73/1.17 % (1311984)dis-21_1_sil=8000:lcm=predicate:random_seed=818847438: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)
% 2.73/1.17 % (1311984)First to succeed.
% 2.73/1.17 % (1311984)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1311973"
% 2.73/1.17 % (1311982)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3242828207:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.73/1.17 % (1311980)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=705995136:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.73/1.17 % (1311983)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3305332267:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.73/1.17 % (1311979)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4198290151:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.73/1.17 % (1311981)lrs+10_1_sil=8000:sp=occurrence:random_seed=1978048727:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.73/1.17 % (1311978)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=1067298837:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.73/1.17 % (1311983)Also succeeded, but the first one will report.
% 2.73/1.17 % (1311981)Also succeeded, but the first one will report.
% 2.73/1.17 % (1311982)Also succeeded, but the first one will report.
% 2.73/1.17 % (1311984)Refutation found. Thanks to Tanya!
% 2.73/1.17 % SZS status Unsatisfiable for theBenchmark
% 2.73/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.73/1.17 % (1311984)------------------------------
% 2.73/1.17 % (1311984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.17 % (1311984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.17 % (1311984)CaDiCaL version: 2.1.3
% 2.73/1.17 % (1311984)Termination reason: Refutation
% 2.73/1.17 % (1311984)Time elapsed: 0.002 s
% 2.73/1.17 % (1311984)Peak memory usage: 89 MB
% 2.73/1.17 % (1311984)Instructions burned: 2 (million)
% 2.73/1.17 % (1311984)------------------------------
% 2.73/1.17 % (1311984)------------------------------
% 2.73/1.17 % (1311973)Success in time 0.295 s
% 2.73/1.17 % Vampire exiting
%------------------------------------------------------------------------------