%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN616-1 : 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 : n015.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 02:01:05 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.80s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 50 ( 18 unt; 7 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 89 ( 41 ~; 41 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 10 ( 9 usr; 8 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f7,negated_conjecture,
p2(c25,c28),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
fof(f27,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f12(X0,X1),f12(X2,X3))
| ~ p2(X0,X2)
| ~ p2(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_27) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f7(X0,X1),f7(X2,X3))
| ~ p2(X1,X3)
| ~ p2(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).
fof(f29,negated_conjecture,
p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_29) ).
fof(f30,negated_conjecture,
~ p14(f7(c22,f12(f8(c21,f3(f5(c20))),c28)),f3(f5(c20)),f6(c21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p14_30) ).
fof(f31,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( p14(X0,X1,X2)
| ~ p2(X3,X2)
| ~ p2(X4,X1)
| ~ p2(X5,X0)
| ~ p14(X5,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_31) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ p14(X2,X1,X0)
| ~ p2(X1,f3(f5(c20)))
| ~ p2(X2,f7(c22,f12(f8(c21,f3(f5(c20))),c28)))
| ~ p2(X0,f6(c21)) ),
inference(resolution,[],[f31,f30]) ).
fof(f44,plain,
( ~ p2(f3(f5(c20)),f3(f5(c20)))
| ~ p2(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f7(c22,f12(f8(c21,f3(f5(c20))),c28)))
| ~ p2(f6(c21),f6(c21)) ),
inference(resolution,[],[f36,f29]) ).
fof(f47,definition,
( spl0_1
<=> p2(f6(c21),f6(c21)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f48,plain,
( ~ p2(f6(c21),f6(c21))
| spl0_1 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f50,definition,
( spl0_2
<=> p2(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f7(c22,f12(f8(c21,f3(f5(c20))),c28))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f51,plain,
( ~ p2(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f7(c22,f12(f8(c21,f3(f5(c20))),c28)))
| spl0_2 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f53,definition,
( spl0_3
<=> p2(f3(f5(c20)),f3(f5(c20))) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f54,plain,
( ~ p2(f3(f5(c20)),f3(f5(c20)))
| spl0_3 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f55,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f44,f53,f50,f47]) ).
fof(f61,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f48,f4]) ).
fof(f64,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f61]) ).
fof(f66,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f54,f4]) ).
fof(f69,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f66]) ).
fof(f73,definition,
( spl0_5
<=> p2(c22,c22) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f74,plain,
( ~ p2(c22,c22)
| spl0_5 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f79,plain,
( ~ p2(f12(f8(c21,f3(f5(c20))),c25),f12(f8(c21,f3(f5(c20))),c28))
| ~ p2(c22,c22)
| spl0_2 ),
inference(resolution,[],[f51,f28]) ).
fof(f82,definition,
( spl0_7
<=> p2(f12(f8(c21,f3(f5(c20))),c25),f12(f8(c21,f3(f5(c20))),c28)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f83,plain,
( ~ p2(f12(f8(c21,f3(f5(c20))),c25),f12(f8(c21,f3(f5(c20))),c28))
| spl0_7 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f84,plain,
( ~ spl0_5
| ~ spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f79,f50,f82,f73]) ).
fof(f85,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f74,f4]) ).
fof(f88,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f85]) ).
fof(f90,plain,
( ~ p2(f8(c21,f3(f5(c20))),f8(c21,f3(f5(c20))))
| ~ p2(c25,c28)
| spl0_7 ),
inference(resolution,[],[f83,f27]) ).
fof(f93,definition,
( spl0_8
<=> p2(c25,c28) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f94,plain,
( ~ p2(c25,c28)
| spl0_8 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,definition,
( spl0_9
<=> p2(f8(c21,f3(f5(c20))),f8(c21,f3(f5(c20)))) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f97,plain,
( ~ p2(f8(c21,f3(f5(c20))),f8(c21,f3(f5(c20))))
| spl0_9 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f98,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f90,f82,f96,f93]) ).
fof(f102,plain,
( $false
| spl0_8 ),
inference(resolution,[],[f94,f7]) ).
fof(f104,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f102]) ).
fof(f109,plain,
( $false
| spl0_9 ),
inference(resolution,[],[f97,f4]) ).
fof(f112,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f109]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f55]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f64]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f69]) ).
cnf(s6,plain,
( spl0_2
| ~ spl0_5
| ~ spl0_7 ),
inference(sat_conversion,[],[f84]) ).
cnf(s7,plain,
spl0_5,
inference(sat_conversion,[],[f88]) ).
cnf(s8,plain,
( spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f98]) ).
cnf(s9,plain,
spl0_8,
inference(sat_conversion,[],[f104]) ).
cnf(s10,plain,
spl0_9,
inference(sat_conversion,[],[f112]) ).
cnf(s12,plain,
spl0_7,
inference(rat,[],[s8,s10,s9]) ).
cnf(s13,plain,
spl0_2,
inference(rat,[],[s6,s12,s7]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s1,s4,s13,s3]) ).
fof(f117,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN616-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n015.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 16:39:32 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 0.19/0.80 % (2763834)Input is clausal, will run a generic CNF schedule.
% 0.19/0.80 % (2763845)dis-21_1_sil=8000:lcm=predicate:random_seed=4281660628: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)
% 0.19/0.80 % (2763845)First to succeed.
% 0.19/0.80 % (2763845)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2763834"
% 0.19/0.80 % (2763841)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1110489651:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.19/0.80 % (2763844)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2000757822:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.19/0.80 % (2763842)lrs+10_1_sil=8000:sp=occurrence:random_seed=4229762631:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.19/0.80 % (2763839)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=311647207:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.19/0.80 % (2763840)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1902325611:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.19/0.80 % (2763843)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3456718972:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.19/0.80 % (2763844)Also succeeded, but the first one will report.
% 0.19/0.80 % (2763843)Also succeeded, but the first one will report.
% 0.19/0.80 % (2763842)Instruction limit reached!
% 0.19/0.80 % (2763842)------------------------------
% 0.19/0.80 % (2763842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/0.80 % (2763842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.80 % (2763842)CaDiCaL version: 2.1.3
% 0.19/0.80 % (2763842)Termination reason: Instruction limit
% 0.19/0.80 % (2763842)Termination phase: Saturation
% 0.19/0.80 % (2763842)Time elapsed: 0.063 s
% 0.19/0.80 % (2763842)Peak memory usage: 89 MB
% 0.19/0.80 % (2763842)Instructions burned: 108 (million)
% 0.19/0.80 % (2763845)Refutation found. Thanks to Tanya!
% 0.19/0.80 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.80 % (2763845)------------------------------
% 0.19/0.80 % (2763845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/0.80 % (2763845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.80 % (2763845)CaDiCaL version: 2.1.3
% 0.19/0.80 % (2763845)Termination reason: Refutation
% 0.19/0.80 % (2763845)Time elapsed: 0.002 s
% 0.19/0.80 % (2763845)Peak memory usage: 89 MB
% 0.19/0.80 % (2763845)Instructions burned: 3 (million)
% 0.19/0.80 % (2763845)------------------------------
% 0.19/0.80 % (2763845)------------------------------
% 0.19/0.80 % (2763834)Success in time 0.287 s
% 0.19/0.80 % Vampire exiting
%------------------------------------------------------------------------------