%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN038-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 02:06:29 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.27s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 4 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 42 ( 22 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( ~ p(X0,f(X0,X1))
| ~ p(X0,X1)
| q(X1,f(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
! [X0,X1] :
( ~ q(X1,f(X0,X1))
| ~ p(X0,X1)
| p(X0,f(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( ~ p(X0,X1)
| ~ p(f(X0,X1),f(X0,X1))
| q(f(X0,X1),f(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( ~ q(f(X0,X1),f(X0,X1))
| p(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( q(f(X0,X1),f(X0,X1))
| q(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( ~ q(f(X0,X1),f(X0,X1))
| ~ q(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f8,plain,
! [X0,X1] :
( q(X0,X1)
| p(X0,X1) ),
inference(resolution,[],[f6,f5]) ).
fof(f10,plain,
! [X0,X1] :
( p(f(X0,X1),f(X0,X1))
| ~ q(X0,X1) ),
inference(resolution,[],[f8,f7]) ).
fof(f12,plain,
! [X0,X1] :
( p(X1,f(X0,X1))
| p(X0,f(X0,X1))
| ~ p(X0,X1) ),
inference(resolution,[],[f2,f8]) ).
fof(f14,plain,
! [X0] :
( p(X0,f(X0,X0))
| ~ p(X0,X0) ),
inference(factoring,[],[f12]) ).
fof(f16,plain,
! [X0,X1] :
( q(f(X0,X1),f(X0,X1))
| ~ p(X0,X1) ),
inference(forward_subsumption_resolution,[],[f3,f8]) ).
fof(f17,plain,
! [X0] :
( ~ p(X0,X0)
| ~ p(X0,X0)
| q(X0,f(X0,X0)) ),
inference(resolution,[],[f14,f1]) ).
fof(f18,plain,
! [X0] :
( q(X0,f(X0,X0))
| ~ p(X0,X0) ),
inference(duplicate_literal_removal,[],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( ~ q(X0,X1)
| ~ p(X0,X1) ),
inference(resolution,[],[f16,f7]) ).
fof(f27,plain,
! [X0] :
( ~ p(X0,X0)
| ~ p(X0,f(X0,X0)) ),
inference(resolution,[],[f18,f19]) ).
fof(f29,plain,
! [X0] : ~ p(X0,X0),
inference(forward_subsumption_resolution,[],[f27,f14]) ).
fof(f32,plain,
! [X0,X1] : ~ q(X0,X1),
inference(resolution,[],[f29,f10]) ).
fof(f35,plain,
! [X0,X1] : q(X0,X1),
inference(resolution,[],[f32,f6]) ).
fof(f38,plain,
$false,
inference(forward_subsumption_resolution,[],[f35,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN038-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n026.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:24:42 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.27 % (3938597)Will run a generic schedule for satisfiability detection.
% 0.18/0.27 % (3938602)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4233127849_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.27 % TRYING [1]
% 0.18/0.27 % TRYING [2]
% 0.18/0.27 % TRYING [3]
% 0.18/0.27 % TRYING [4]
% 0.18/0.27 % TRYING [5]
% 0.18/0.27 % (3938603)% WARNING: option uhcvi not known.
% 0.18/0.27 % TRYING [6]
% 0.18/0.27 % (3938605)dis+10_1_sil=32000:sp=arity:random_seed=1834069300:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.27 % (3938603)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2744169160:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.27 % (3938604)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2433522078:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.27 % (3938606)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1560031287:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.27 % (3938607)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3889741748:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.27 % (3938608)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3539280435:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.27 % (3938605) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3938597-3938605"...
% 0.18/0.27 % (3938603) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3938597-3938603"...
% 0.18/0.27 % (3938606) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3938597-3938606"...
% 0.18/0.27 % (3938608) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3938597-3938608"...
% 0.18/0.27 % (3938605)...printing done.
% 0.18/0.27 % (3938607) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3938597-3938607"...
% 0.18/0.27 % (3938603)...printing done.
% 0.18/0.27 % (3938606)...printing done.
% 0.18/0.27 % (3938605)Refutation found. Thanks to Tanya!
% 0.18/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.27 % (3938605)------------------------------
% 0.18/0.27 % (3938605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.27 % (3938605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.27 % (3938605)CaDiCaL version: 2.1.3
% 0.18/0.27 % (3938605)Termination reason: Refutation
% 0.18/0.27 % (3938605)Time elapsed: 0.002 s
% 0.18/0.27 % (3938605)Peak memory usage: 11 MB
% 0.18/0.27 % (3938605)Instructions burned: 1 (million)
% 0.18/0.27 % (3938597)Success in time 0.034 s
% 0.18/0.27 % Vampire exiting
%------------------------------------------------------------------------------