%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN661-1 : 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 : n002.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 02:01:11 PM UTC 2026
% Result : Unsatisfiable 3.41s 1.15s
% Output : Refutation 3.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 12 unt; 1 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 28 ~; 20 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
fof(f12,negated_conjecture,
p25(c36,c33),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_12) ).
fof(f13,negated_conjecture,
p25(c32,c36),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_13) ).
fof(f19,negated_conjecture,
! [X0] : ~ p2(X0,f16(X0,f9(f17(c31)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_19) ).
fof(f30,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_30) ).
fof(f40,negated_conjecture,
p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_40) ).
fof(f48,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f16(X0,X1),f16(X2,X3))
| ~ p2(X0,X2)
| ~ p2(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_48) ).
fof(f49,negated_conjecture,
! [X0] :
( p2(f11(f4(X0),c34),f11(f4(c32),c34))
| ~ p25(X0,c33)
| ~ p25(c32,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_49) ).
fof(f56,plain,
! [X0,X1] :
( ~ p2(X0,f16(X1,f9(f17(c31))))
| ~ p2(X0,X1) ),
inference(resolution,[],[f30,f19]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ p2(f16(X0,X2),X1)
| ~ p2(X2,f9(f17(c31)))
| ~ p2(X0,X1) ),
inference(resolution,[],[f48,f56]) ).
fof(f143,plain,
! [X2,X3,X0,X1] :
( ~ p2(X3,f16(X1,X0))
| ~ p2(X1,X2)
| ~ p2(X0,f9(f17(c31)))
| ~ p2(X3,X2) ),
inference(resolution,[],[f81,f30]) ).
fof(f265,plain,
! [X0] :
( ~ p2(f11(f4(c36),c34),X0)
| ~ p2(f9(f17(c31)),f9(f17(c31)))
| ~ p2(f11(f4(c32),c34),X0) ),
inference(resolution,[],[f143,f40]) ).
fof(f269,plain,
! [X0] :
( ~ p2(f11(f4(c32),c34),X0)
| ~ p2(f11(f4(c36),c34),X0) ),
inference(forward_subsumption_resolution,[],[f265,f6]) ).
fof(f359,plain,
~ p2(f11(f4(c36),c34),f11(f4(c32),c34)),
inference(resolution,[],[f269,f6]) ).
fof(f367,definition,
( spl0_9
<=> p2(f11(f4(c36),c34),f11(f4(c32),c34)) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f368,plain,
( ~ p2(f11(f4(c36),c34),f11(f4(c32),c34))
| spl0_9 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f383,plain,
~ spl0_9,
inference(avatar_split_clause,[],[f359,f367]) ).
fof(f389,plain,
( ~ p25(c36,c33)
| ~ p25(c32,c36)
| spl0_9 ),
inference(resolution,[],[f368,f49]) ).
fof(f393,plain,
( ~ p25(c32,c36)
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f389,f12]) ).
fof(f395,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f393,f13]) ).
fof(f396,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f395]) ).
cnf(s7,plain,
~ spl0_9,
inference(sat_conversion,[],[f383]) ).
cnf(s8,plain,
spl0_9,
inference(sat_conversion,[],[f396]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s7,s8]) ).
fof(f397,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN661-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n002.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 16:44:37 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 3.41/1.15 % (504811)Input is clausal, will run a generic CNF schedule.
% 3.41/1.15 % (504816)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=2428401377:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.41/1.15 % (504820)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=81730470:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.41/1.15 % (504821)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1526117197:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.41/1.15 % (504819)lrs+10_1_sil=8000:sp=occurrence:random_seed=3881659551:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.41/1.15 % (504817)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1122462900:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.41/1.15 % (504818)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=865028360:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.41/1.15 % (504820)First to succeed.
% 3.41/1.15 % (504820)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-504811"
% 3.41/1.15 % (504822)dis-21_1_sil=8000:lcm=predicate:random_seed=1221338122: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)
% 3.41/1.15 % (504822)Also succeeded, but the first one will report.
% 3.41/1.15 % (504821)Also succeeded, but the first one will report.
% 3.41/1.15 % (504819)Also succeeded, but the first one will report.
% 3.41/1.15 % (504820)Refutation found. Thanks to Tanya!
% 3.41/1.15 % SZS status Unsatisfiable for theBenchmark
% 3.41/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 3.41/1.15 % (504820)------------------------------
% 3.41/1.15 % (504820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.15 % (504820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.15 % (504820)CaDiCaL version: 2.1.3
% 3.41/1.15 % (504820)Termination reason: Refutation
% 3.41/1.15 % (504820)Time elapsed: 0.012 s
% 3.41/1.15 % (504820)Peak memory usage: 89 MB
% 3.41/1.15 % (504820)Instructions burned: 15 (million)
% 3.41/1.15 % (504820)------------------------------
% 3.41/1.15 % (504820)------------------------------
% 3.41/1.15 % (504811)Success in time 0.411 s
% 3.41/1.15 % Vampire exiting
%------------------------------------------------------------------------------