%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN555-1 : 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 : n001.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 02:00:57 PM UTC 2026
% Result : Unsatisfiable 2.72s 1.17s
% Output : Refutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_2) ).
fof(f4,negated_conjecture,
p4(f5(c7,c10,c9),c9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_4) ).
fof(f5,negated_conjecture,
~ p4(f5(c7,c10,c8),c8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_5) ).
fof(f6,negated_conjecture,
! [X0] : p4(f5(c7,X0,c8),f5(c7,X0,c9)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_6) ).
fof(f8,negated_conjecture,
! [X2,X0,X1] :
( p4(X0,X1)
| ~ p4(X2,X0)
| ~ p4(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_8) ).
fof(f12,negated_conjecture,
! [X2,X0,X1] :
( ~ p4(f5(c7,f6(X0,X2,X1),X2),f5(c7,f6(X0,X2,X1),X1))
| ~ p4(f5(c7,X0,X2),X2)
| p4(f5(c7,X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_12) ).
fof(f24,plain,
! [X2,X3,X0,X1] :
( ~ p4(X3,f5(c7,f6(X0,X1,X2),X2))
| p4(f5(c7,X0,X2),X2)
| ~ p4(X3,f5(c7,f6(X0,X1,X2),X1))
| ~ p4(f5(c7,X0,X1),X1) ),
inference(resolution,[],[f12,f8]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ p4(f5(c7,f6(X0,X2,X1),X1),f5(c7,f6(X0,X2,X1),X2))
| p4(f5(c7,X0,X1),X1)
| ~ p4(f5(c7,X0,X2),X2) ),
inference(resolution,[],[f24,f2]) ).
fof(f58,plain,
! [X0] :
( p4(f5(c7,X0,c8),c8)
| ~ p4(f5(c7,X0,c9),c9) ),
inference(resolution,[],[f42,f6]) ).
fof(f134,plain,
~ p4(f5(c7,c10,c9),c9),
inference(resolution,[],[f58,f5]) ).
fof(f147,plain,
$false,
inference(forward_subsumption_resolution,[],[f134,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN555-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n001.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 16:34:19 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 2.72/1.17 % (471084)Input is clausal, will run a generic CNF schedule.
% 2.72/1.17 % (471223)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1348457790:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.72/1.17 % (471223)First to succeed.
% 2.72/1.17 % (471223)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-471084"
% 2.72/1.17 % (471222)lrs+10_1_sil=8000:sp=occurrence:random_seed=2157462175:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.72/1.17 % (471221)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3206780960:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.72/1.17 % (471224)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1309746909:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.72/1.17 % (471220)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2548807596:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.72/1.17 % (471224)Also succeeded, but the first one will report.
% 2.72/1.17 % (471222)Also succeeded, but the first one will report.
% 2.72/1.17 % (471225)dis-21_1_sil=8000:lcm=predicate:random_seed=3804779558: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)
% 2.72/1.17 % (471225)Also succeeded, but the first one will report.
% 2.72/1.17 % (471219)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=593033323:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.72/1.17 % (471223)Refutation found. Thanks to Tanya!
% 2.72/1.17 % SZS status Unsatisfiable for theBenchmark
% 2.72/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.72/1.17 % (471223)------------------------------
% 2.72/1.17 % (471223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.17 % (471223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.17 % (471223)CaDiCaL version: 2.1.3
% 2.72/1.17 % (471223)Termination reason: Refutation
% 2.72/1.17 % (471223)Time elapsed: 0.003 s
% 2.72/1.17 % (471223)Peak memory usage: 88 MB
% 2.72/1.17 % (471223)Instructions burned: 5 (million)
% 2.72/1.17 % (471223)------------------------------
% 2.72/1.17 % (471223)------------------------------
% 2.72/1.17 % (471084)Success in time 0.292 s
% 2.72/1.17 % Vampire exiting
%------------------------------------------------------------------------------