%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN586-1 : 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 : n003.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 02:17:39 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.30s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f5,negated_conjecture,
p3(c21,c19),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_5) ).
fof(f12,negated_conjecture,
! [X0,X1] :
( ~ p3(X0,X1)
| p3(f11(X0),f11(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_12) ).
fof(f17,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p15(X2,X3)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| p15(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_17) ).
fof(f20,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p2(X0,X2)
| p2(f4(X0,X1),f4(X2,X3))
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_20) ).
fof(f22,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_22) ).
fof(f23,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p15_23) ).
fof(f44,plain,
p3(f11(c21),f11(c19)),
inference(resolution,[],[f12,f5]) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ p3(X1,X2)
| p2(f4(X0,X1),f4(X0,X2)) ),
inference(resolution,[],[f20,f4]) ).
fof(f98,plain,
! [X0,X1] :
( ~ p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),X0)
| ~ p2(c20,X1)
| p15(X0,X1) ),
inference(resolution,[],[f22,f17]) ).
fof(f160,plain,
! [X0] : p2(f4(X0,f11(c21)),f4(X0,f11(c19))),
inference(resolution,[],[f92,f44]) ).
fof(f345,plain,
! [X0] :
( ~ p2(c20,X0)
| p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),X0) ),
inference(resolution,[],[f160,f98]) ).
fof(f3126,plain,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
inference(resolution,[],[f345,f4]) ).
fof(f3127,plain,
$false,
inference(forward_subsumption_resolution,[],[f3126,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN586-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.21 % Computer : n003.cluster.edu
% 0.06/0.21 % Model : x86_64 x86_64
% 0.06/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.21 % Memory : 8046.5625MB
% 0.06/0.21 % OS : Linux 6.8.0-71-generic
% 0.06/0.21 % CPULimit : 300
% 0.06/0.21 % WCLimit : 300
% 0.06/0.21 % DateTime : Mon Sep 28 16:36:00 UTC 2026
% 0.06/0.21 % CPUTime :
% 0.06/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.24 Running first-order model finding
% 0.06/0.24 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
% 0.18/0.30 % (1736924)Will run a generic schedule for satisfiability detection.
% 0.18/0.30 % (1736934)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1861130613:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.30 % (1736930)% WARNING: option uhcvi not known.
% 0.18/0.30 % (1736929)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1823914448_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.30 % (1736930)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1493664421:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.30 % (1736931)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1476453182:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.30 % (1736935)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3911262552:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.30 % (1736932)dis+10_1_sil=32000:sp=arity:random_seed=1410032517:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.30 % (1736933)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1746444670:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.30 % TRYING [1]
% 0.18/0.30 % TRYING [2]
% 0.18/0.30 % TRYING [3]
% 0.18/0.30 % (1736934) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1736924-1736934"...
% 0.18/0.30 % TRYING [4]
% 0.18/0.30 % (1736934)...printing done.
% 0.18/0.30 % (1736934)Refutation found. Thanks to Tanya!
% 0.18/0.30 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.30 % (1736934)------------------------------
% 0.18/0.30 % (1736934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.30 % (1736934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.30 % (1736934)CaDiCaL version: 2.1.3
% 0.18/0.30 % (1736934)Termination reason: Refutation
% 0.18/0.30 % (1736934)Time elapsed: 0.023 s
% 0.18/0.30 % (1736934)Peak memory usage: 13 MB
% 0.18/0.30 % (1736934)Instructions burned: 73 (million)
% 0.18/0.30 % (1736924)Success in time 0.052 s
% 0.18/0.30 % Vampire exiting
%------------------------------------------------------------------------------