%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN557-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 02:17:35 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.29s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 11 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
fof(f3,negated_conjecture,
~ p2(c6,f3(c8,f5(c9))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_3) ).
fof(f4,negated_conjecture,
! [X0,X1] : p2(f3(X0,X1),f3(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f6,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X0)
| p2(X0,X1)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
fof(f8,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(f3(X0,X2),f3(X1,X2))
| p2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).
fof(f10,negated_conjecture,
! [X2,X0,X1] : p2(f3(X0,f3(X1,X2)),f3(X1,f3(X0,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).
fof(f12,negated_conjecture,
p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
fof(f16,plain,
! [X2,X0,X1] :
( ~ p2(f3(X1,X0),X2)
| p2(f3(X0,X1),X2) ),
inference(resolution,[],[f6,f4]) ).
fof(f24,plain,
! [X2,X3,X0,X1] :
( ~ p2(f3(X1,f3(X0,X2)),X3)
| p2(f3(X0,f3(X1,X2)),X3) ),
inference(resolution,[],[f10,f6]) ).
fof(f37,plain,
! [X0] :
( ~ p2(f3(c6,f5(c7)),X0)
| p2(f3(c8,f3(f5(c7),f5(c9))),X0) ),
inference(resolution,[],[f12,f6]) ).
fof(f137,plain,
p2(f3(c8,f3(f5(c7),f5(c9))),f3(c6,f5(c7))),
inference(resolution,[],[f37,f1]) ).
fof(f293,plain,
p2(f3(f5(c7),f3(c8,f5(c9))),f3(c6,f5(c7))),
inference(resolution,[],[f137,f24]) ).
fof(f459,plain,
p2(f3(f3(c8,f5(c9)),f5(c7)),f3(c6,f5(c7))),
inference(resolution,[],[f293,f16]) ).
fof(f576,plain,
p2(f3(c8,f5(c9)),c6),
inference(resolution,[],[f459,f8]) ).
fof(f599,plain,
! [X0] :
( ~ p2(f3(c8,f5(c9)),X0)
| p2(c6,X0) ),
inference(resolution,[],[f576,f6]) ).
fof(f643,plain,
p2(c6,f3(c8,f5(c9))),
inference(resolution,[],[f599,f1]) ).
fof(f644,plain,
$false,
inference(forward_subsumption_resolution,[],[f643,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN557-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 % Computer : n007.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 16:26:25 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.23 Running first-order model finding
% 0.07/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.29 % (2536596)Will run a generic schedule for satisfiability detection.
% 0.20/0.29 % (2536604)dis+10_1_sil=32000:sp=arity:random_seed=3599767020:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.29 % (2536602)% WARNING: option uhcvi not known.
% 0.20/0.29 % (2536602)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3293678858:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.29 % (2536601)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=763926611_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.29 % (2536603)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=406920179:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.29 % (2536605)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=688306424:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.29 % (2536606)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2224755413:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.29 % (2536607)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2122290693:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.29 % TRYING [1]
% 0.20/0.29 % TRYING [2]
% 0.20/0.29 % TRYING [3]
% 0.20/0.29 % TRYING [4]
% 0.20/0.29 % (2536606) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2536596-2536606"...
% 0.20/0.29 % (2536606)...printing done.
% 0.20/0.29 % (2536606)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.29 % (2536606)------------------------------
% 0.20/0.29 % (2536606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (2536606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (2536606)CaDiCaL version: 2.1.3
% 0.20/0.29 % (2536606)Termination reason: Refutation
% 0.20/0.29 % (2536606)Time elapsed: 0.015 s
% 0.20/0.29 % (2536606)Peak memory usage: 11 MB
% 0.20/0.29 % (2536606)Instructions burned: 21 (million)
% 0.20/0.29 % (2536596)Success in time 0.048 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------