%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN553-1 : 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 : 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 02:17:35 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.28s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 14 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
fof(f5,negated_conjecture,
! [X0,X1] : p2(f8(X0,X1),f8(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
fof(f6,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X0,X2)
| p2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
fof(f7,negated_conjecture,
! [X2,X0,X1] : p2(f8(X0,f8(X1,X2)),f8(f8(X0,X1),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).
fof(f8,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f8(X0,X1),f8(X2,X3))
| ~ p2(X0,X2)
| ~ p2(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).
fof(f9,negated_conjecture,
~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_9) ).
fof(f18,plain,
! [X2,X0,X1] :
( ~ p2(X0,f8(X1,X2))
| p2(X0,f8(X2,X1)) ),
inference(resolution,[],[f6,f5]) ).
fof(f58,plain,
! [X2,X0,X1] : p2(f8(X0,f8(X1,X2)),f8(X2,f8(X0,X1))),
inference(resolution,[],[f7,f18]) ).
fof(f61,plain,
! [X2,X3,X0,X1] :
( ~ p2(X0,f8(X1,f8(X2,X3)))
| p2(X0,f8(X3,f8(X1,X2))) ),
inference(resolution,[],[f58,f6]) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( p2(f8(X0,X2),f8(X3,X1))
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(resolution,[],[f8,f18]) ).
fof(f150,plain,
! [X2,X3,X0,X1,X4] :
( p2(f8(X0,X1),f8(X2,f8(X3,X4)))
| ~ p2(X1,X3)
| ~ p2(X0,f8(X4,X2)) ),
inference(resolution,[],[f61,f66]) ).
fof(f756,plain,
( ~ p2(f9(c3),f9(c3))
| ~ p2(f8(f9(c4),c4),f8(c4,f9(c4))) ),
inference(resolution,[],[f150,f9]) ).
fof(f769,plain,
~ p2(f8(f9(c4),c4),f8(c4,f9(c4))),
inference(forward_subsumption_resolution,[],[f756,f1]) ).
fof(f770,plain,
$false,
inference(forward_subsumption_resolution,[],[f769,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN553-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % 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 16:31:22 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.18/0.28 % (499689)Will run a generic schedule for satisfiability detection.
% 0.18/0.28 % (499697)dis+10_1_sil=32000:sp=arity:random_seed=2454521890:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.28 % (499695)% WARNING: option uhcvi not known.
% 0.18/0.28 % (499695)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3784070499:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.28 % (499694)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3494131638_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.28 % (499698)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1856693152:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.28 % (499696)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=101982091:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.28 % (499700)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1424858839:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.28 % (499699)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3043457423:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.28 % TRYING [1]
% 0.18/0.28 % TRYING [2]
% 0.18/0.28 % TRYING [3]
% 0.18/0.28 % TRYING [4]
% 0.18/0.28 % (499696) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-499689-499696"...
% 0.18/0.28 % (499696)...printing done.
% 0.18/0.28 % (499696)Refutation found. Thanks to Tanya!
% 0.18/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.28 % (499696)------------------------------
% 0.18/0.28 % (499696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.28 % (499696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.28 % (499696)CaDiCaL version: 2.1.3
% 0.18/0.28 % (499696)Termination reason: Refutation
% 0.18/0.28 % (499696)Time elapsed: 0.015 s
% 0.18/0.28 % (499696)Peak memory usage: 11 MB
% 0.18/0.28 % (499696)Instructions burned: 22 (million)
% 0.18/0.28 % (499689)Success in time 0.056 s
% 0.18/0.28 % Vampire exiting
%------------------------------------------------------------------------------