%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN618-1 : 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 02:01:06 PM UTC 2026
% Result : Unsatisfiable 2.48s 1.13s
% Output : Refutation 2.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 37 ( 14 unt; 2 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 98 ( 51 ~; 45 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X0] : p5(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_3) ).
fof(f5,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
fof(f8,negated_conjecture,
p13(c23,c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_8) ).
fof(f9,negated_conjecture,
p13(c19,c23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_9) ).
fof(f12,negated_conjecture,
p2(c17,f3(c16)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
fof(f16,negated_conjecture,
p5(f8(f3(c16),c23),f6(f7(c22))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_16) ).
fof(f17,negated_conjecture,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p5_17) ).
fof(f22,negated_conjecture,
! [X2,X0,X1] :
( p5(X0,X1)
| ~ p5(X2,X0)
| ~ p5(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_22) ).
fof(f24,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_24) ).
fof(f30,negated_conjecture,
! [X2,X3,X0,X1] :
( p5(f8(X0,X1),f8(X2,X3))
| ~ p2(X0,X2)
| ~ p5(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_30) ).
fof(f31,negated_conjecture,
! [X0] :
( ~ p5(f8(c17,X0),f6(f7(c22)))
| ~ p13(X0,c21)
| ~ p13(c19,X0)
| p5(X0,c20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_31) ).
fof(f51,plain,
! [X0] :
( ~ p5(X0,f8(f3(c16),c20))
| ~ p5(X0,f6(f7(c22))) ),
inference(resolution,[],[f22,f17]) ).
fof(f75,plain,
! [X0,X1] :
( ~ p5(X1,f6(f7(c22)))
| ~ p13(c19,X0)
| p5(X0,c20)
| ~ p5(X1,f8(c17,X0))
| ~ p13(X0,c21) ),
inference(resolution,[],[f31,f22]) ).
fof(f87,plain,
! [X0,X1] :
( ~ p5(f8(X0,X1),f6(f7(c22)))
| ~ p2(X0,f3(c16))
| ~ p5(X1,c20) ),
inference(resolution,[],[f51,f30]) ).
fof(f96,plain,
! [X0] :
( ~ p5(f8(f3(c16),c23),f8(c17,X0))
| p5(X0,c20)
| ~ p13(c19,X0)
| ~ p13(X0,c21) ),
inference(resolution,[],[f75,f16]) ).
fof(f137,plain,
( ~ p2(f3(c16),f3(c16))
| ~ p5(c23,c20) ),
inference(resolution,[],[f87,f16]) ).
fof(f139,plain,
~ p5(c23,c20),
inference(forward_subsumption_resolution,[],[f137,f5]) ).
fof(f167,plain,
! [X0] :
( p5(X0,c20)
| ~ p13(c19,X0)
| ~ p13(X0,c21)
| ~ p2(f3(c16),c17)
| ~ p5(c23,X0) ),
inference(resolution,[],[f96,f30]) ).
fof(f170,definition,
( spl0_10
<=> p2(f3(c16),c17) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f171,plain,
( ~ p2(f3(c16),c17)
| spl0_10 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f173,definition,
( spl0_11
<=> ! [X0] :
( p5(X0,c20)
| ~ p5(c23,X0)
| ~ p13(X0,c21)
| ~ p13(c19,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f174,plain,
( ! [X0] :
( ~ p13(c19,X0)
| ~ p5(c23,X0)
| ~ p13(X0,c21)
| p5(X0,c20) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f175,plain,
( ~ spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f167,f173,f170]) ).
fof(f183,plain,
( ! [X0] :
( ~ p2(X0,f3(c16))
| ~ p2(X0,c17) )
| spl0_10 ),
inference(resolution,[],[f171,f24]) ).
fof(f199,plain,
( ~ p2(c17,c17)
| spl0_10 ),
inference(resolution,[],[f183,f12]) ).
fof(f201,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f199,f5]) ).
fof(f202,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f201]) ).
fof(f229,plain,
( ~ p5(c23,c23)
| ~ p13(c23,c21)
| p5(c23,c20)
| ~ spl0_11 ),
inference(resolution,[],[f174,f9]) ).
fof(f232,plain,
( ~ p13(c23,c21)
| p5(c23,c20)
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f229,f3]) ).
fof(f233,plain,
( p5(c23,c20)
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f232,f8]) ).
fof(f234,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f233,f139]) ).
fof(f235,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f234]) ).
cnf(s8,plain,
( ~ spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f175]) ).
cnf(s10,plain,
spl0_10,
inference(sat_conversion,[],[f202]) ).
cnf(s12,plain,
~ spl0_11,
inference(sat_conversion,[],[f235]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s8,s12,s10]) ).
fof(f236,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN618-1 : 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 16:41:04 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 2.48/1.13 % (3753719)Input is clausal, will run a generic CNF schedule.
% 2.48/1.13 % (3753728)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1094498095:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.48/1.13 % (3753728)First to succeed.
% 2.48/1.13 % (3753728)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3753719"
% 2.48/1.13 % (3753729)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1628408112:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.48/1.13 % (3753727)lrs+10_1_sil=8000:sp=occurrence:random_seed=535660674:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.48/1.13 % (3753725)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2192102154:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.48/1.13 % (3753724)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=3317441322:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.48/1.13 % (3753726)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2471357518:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.48/1.13 % (3753730)dis-21_1_sil=8000:lcm=predicate:random_seed=4034852818: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)
% 2.48/1.13 % (3753727)Also succeeded, but the first one will report.
% 2.48/1.13 % (3753729)Also succeeded, but the first one will report.
% 2.48/1.13 % (3753730)Instruction limit reached!
% 2.48/1.13 % (3753730)------------------------------
% 2.48/1.13 % (3753730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/1.13 % (3753730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/1.13 % (3753730)CaDiCaL version: 2.1.3
% 2.48/1.13 % (3753730)Termination reason: Instruction limit
% 2.48/1.13 % (3753730)Termination phase: Saturation
% 2.48/1.13 % (3753730)Time elapsed: 0.040 s
% 2.48/1.13 % (3753730)Peak memory usage: 87 MB
% 2.48/1.13 % (3753730)Instructions burned: 118 (million)
% 2.48/1.13 % (3753728)Refutation found. Thanks to Tanya!
% 2.48/1.13 % SZS status Unsatisfiable for theBenchmark
% 2.48/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 2.48/1.13 % (3753728)------------------------------
% 2.48/1.13 % (3753728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/1.13 % (3753728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/1.13 % (3753728)CaDiCaL version: 2.1.3
% 2.48/1.13 % (3753728)Termination reason: Refutation
% 2.48/1.13 % (3753728)Time elapsed: 0.004 s
% 2.48/1.13 % (3753728)Peak memory usage: 89 MB
% 2.48/1.13 % (3753728)Instructions burned: 7 (million)
% 2.48/1.13 % (3753728)------------------------------
% 2.48/1.13 % (3753728)------------------------------
% 2.48/1.13 % (3753719)Success in time 0.266 s
% 2.48/1.13 % Vampire exiting
%------------------------------------------------------------------------------