%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN700-1 : 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 : n017.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 02:01:17 PM UTC 2026
% Result : Unsatisfiable 2.60s 1.15s
% Output : Refutation 2.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 12 unt; 1 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 21 ~; 15 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_7) ).
fof(f12,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
fof(f16,negated_conjecture,
p2(c44,c46),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_16) ).
fof(f37,negated_conjecture,
! [X0,X1] :
( p3(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_37) ).
fof(f43,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_43) ).
fof(f56,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_56) ).
fof(f57,negated_conjecture,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_57) ).
fof(f62,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f11(X0,X1),f11(X2,X3))
| ~ p10(X1,X3)
| ~ p3(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_62) ).
fof(f119,plain,
! [X0] :
( ~ p2(X0,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X0,f11(f4(c46),c43)) ),
inference(resolution,[],[f57,f43]) ).
fof(f227,plain,
! [X0,X1] :
( ~ p2(X1,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X1,X0)
| ~ p2(X0,f11(f4(c46),c43)) ),
inference(resolution,[],[f119,f43]) ).
fof(f404,plain,
! [X0] :
( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),X0)
| ~ p2(X0,f11(f4(c46),c43)) ),
inference(resolution,[],[f227,f12]) ).
fof(f773,plain,
~ p2(f11(f4(c44),c43),f11(f4(c46),c43)),
inference(resolution,[],[f404,f56]) ).
fof(f785,definition,
( spl0_25
<=> p2(f11(f4(c44),c43),f11(f4(c46),c43)) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f786,plain,
( ~ p2(f11(f4(c44),c43),f11(f4(c46),c43))
| spl0_25 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f788,plain,
~ spl0_25,
inference(avatar_split_clause,[],[f773,f785]) ).
fof(f789,plain,
( ~ p10(c43,c43)
| ~ p3(f4(c44),f4(c46))
| spl0_25 ),
inference(resolution,[],[f786,f62]) ).
fof(f791,plain,
( ~ p3(f4(c44),f4(c46))
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f789,f7]) ).
fof(f809,plain,
( ~ p2(c44,c46)
| spl0_25 ),
inference(resolution,[],[f791,f37]) ).
fof(f811,plain,
( $false
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f809,f16]) ).
fof(f812,plain,
spl0_25,
inference(avatar_contradiction_clause,[],[f811]) ).
cnf(s21,plain,
~ spl0_25,
inference(sat_conversion,[],[f788]) ).
cnf(s23,plain,
spl0_25,
inference(sat_conversion,[],[f812]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s21,s23]) ).
fof(f813,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN700-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.20 % Computer : n017.cluster.edu
% 0.06/0.20 % Model : x86_64 x86_64
% 0.06/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.20 % Memory : 8046.5625MB
% 0.06/0.20 % OS : Linux 6.8.0-71-generic
% 0.06/0.20 % CPULimit : 300
% 0.06/0.20 % WCLimit : 300
% 0.06/0.20 % DateTime : Mon Sep 28 16:42:37 UTC 2026
% 0.06/0.20 % CPUTime :
% 0.06/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.24 Running first-order theorem proving
% 0.06/0.24 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
% 2.60/1.15 % (3695213)Input is clausal, will run a generic CNF schedule.
% 2.60/1.15 % (3695222)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=433198745:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.60/1.15 % (3695222)First to succeed.
% 2.60/1.15 % (3695222)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3695213"
% 2.60/1.15 % (3695218)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=4036343988:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.60/1.15 % (3695223)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2352825322:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.60/1.15 % (3695220)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2350703112:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.60/1.15 % (3695221)lrs+10_1_sil=8000:sp=occurrence:random_seed=4019927292:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.60/1.15 % (3695219)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2932965459:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.60/1.15 % (3695224)dis-21_1_sil=8000:lcm=predicate:random_seed=3467884663: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)
% 2.60/1.15 % (3695223)Also succeeded, but the first one will report.
% 2.60/1.15 % (3695221)Instruction limit reached!
% 2.60/1.15 % (3695221)------------------------------
% 2.60/1.15 % (3695221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.15 % (3695221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.15 % (3695221)CaDiCaL version: 2.1.3
% 2.60/1.15 % (3695221)Termination reason: Instruction limit
% 2.60/1.15 % (3695221)Termination phase: Saturation
% 2.60/1.15 % (3695221)Time elapsed: 0.069 s
% 2.60/1.15 % (3695221)Peak memory usage: 89 MB
% 2.60/1.15 % (3695221)Instructions burned: 108 (million)
% 2.60/1.15 % (3695224)Instruction limit reached!
% 2.60/1.15 % (3695224)------------------------------
% 2.60/1.15 % (3695224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.15 % (3695224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.15 % (3695224)CaDiCaL version: 2.1.3
% 2.60/1.15 % (3695224)Termination reason: Instruction limit
% 2.60/1.15 % (3695224)Termination phase: Saturation
% 2.60/1.15 % (3695224)Time elapsed: 0.079 s
% 2.60/1.15 % (3695224)Peak memory usage: 89 MB
% 2.60/1.15 % (3695224)Instructions burned: 118 (million)
% 2.60/1.15 % (3695222)Refutation found. Thanks to Tanya!
% 2.60/1.15 % SZS status Unsatisfiable for theBenchmark
% 2.60/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 2.60/1.15 % (3695222)------------------------------
% 2.60/1.15 % (3695222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.15 % (3695222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.15 % (3695222)CaDiCaL version: 2.1.3
% 2.60/1.15 % (3695222)Termination reason: Refutation
% 2.60/1.15 % (3695222)Time elapsed: 0.012 s
% 2.60/1.15 % (3695222)Peak memory usage: 89 MB
% 2.60/1.15 % (3695222)Instructions burned: 29 (million)
% 2.60/1.15 % (3695222)------------------------------
% 2.60/1.15 % (3695222)------------------------------
% 2.60/1.15 % (3695213)Success in time 0.281 s
% 2.60/1.15 % Vampire exiting
%------------------------------------------------------------------------------