%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN712-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 02:17:57 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.30s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 12 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,negated_conjecture,
! [X0] : p32(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p32_20) ).
fof(f28,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).
fof(f67,negated_conjecture,
~ p62(f5(c64,f8(f11(f13(c65,c66),c67),c68)),c69),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p62_67) ).
fof(f69,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p62(X2,X3)
| ~ p4(X2,X0)
| p62(X0,X1)
| ~ p32(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_69) ).
fof(f82,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3))
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_82) ).
fof(f97,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p62(f5(c64,f8(f11(f13(c65,X0),X2),X3)),X1)
| p62(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_97) ).
fof(f98,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p62(X0,X3)
| p62(f5(c64,f8(f11(f13(c65,X0),X1),X2)),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_98) ).
fof(f99,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ~ p62(f23(f25(f27(f29(f31(c74,X0),X2),X3),X4),X5),X1)
| p62(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_99) ).
fof(f100,negated_conjecture,
p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_100) ).
fof(f104,negated_conjecture,
! [X2,X3,X0,X1,X4] : p3(f16(f19(f21(c70,f8(f11(f13(c65,X0),X1),X2)),X3),X4),f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X0),X1),X2),X3),X4)),f43(f45(f47(f49(f51(c75,X0),X1),X2),X3),X4)),f53(f55(f57(f59(f61(c76,X0),X1),X2),X3),X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_104) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ p3(X1,X2)
| p4(f5(X0,X1),f5(X0,X2)) ),
inference(resolution,[],[f82,f28]) ).
fof(f193,plain,
! [X0,X1] :
( ~ p32(c69,X1)
| p62(X0,X1)
| ~ p4(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),X0) ),
inference(resolution,[],[f100,f69]) ).
fof(f194,plain,
! [X0] :
( ~ p4(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),X0)
| p62(X0,c69) ),
inference(resolution,[],[f193,f20]) ).
fof(f200,plain,
! [X2,X3,X0,X1,X4,X5] : p4(f5(X0,f16(f19(f21(c70,f8(f11(f13(c65,X1),X2),X3)),X4),X5)),f5(X0,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X1),X2),X3),X4),X5)),f43(f45(f47(f49(f51(c75,X1),X2),X3),X4),X5)),f53(f55(f57(f59(f61(c76,X1),X2),X3),X4),X5)))),
inference(resolution,[],[f104,f162]) ).
fof(f219,plain,
p62(f5(c64,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72))),c69),
inference(resolution,[],[f200,f194]) ).
fof(f225,plain,
p62(f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72),c69),
inference(resolution,[],[f219,f97]) ).
fof(f232,plain,
p62(c66,c69),
inference(resolution,[],[f225,f99]) ).
fof(f237,plain,
! [X0,X1] : p62(f5(c64,f8(f11(f13(c65,c66),X0),X1)),c69),
inference(resolution,[],[f232,f98]) ).
fof(f250,plain,
$false,
inference(resolution,[],[f237,f67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN712-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n006.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 16:48:10 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.20/0.30 % (4109211)Will run a generic schedule for satisfiability detection.
% 0.20/0.30 % (4109218)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2738922531:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.30 % (4109217)% WARNING: option uhcvi not known.
% 0.20/0.30 % (4109220)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2831768432:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.30 % (4109217)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1025207326:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.30 % (4109219)dis+10_1_sil=32000:sp=arity:random_seed=2964886862:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.30 % (4109216)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1989622076_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.30 % (4109222)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1580554188:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.30 % (4109221)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1586607800:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.30 % (4109221) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4109211-4109221"...
% 0.20/0.30 % TRYING [1]
% 0.20/0.30 % (4109221)...printing done.
% 0.20/0.30 % (4109221)Refutation found. Thanks to Tanya!
% 0.20/0.30 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.30 % (4109221)------------------------------
% 0.20/0.30 % (4109221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30 % (4109221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30 % (4109221)CaDiCaL version: 2.1.3
% 0.20/0.30 % (4109221)Termination reason: Refutation
% 0.20/0.30 % (4109221)Time elapsed: 0.005 s
% 0.20/0.30 % (4109221)Peak memory usage: 11 MB
% 0.20/0.30 % (4109221)Instructions burned: 8 (million)
% 0.20/0.30 % (4109211)Success in time 0.059 s
% 0.20/0.30 % Vampire exiting
%------------------------------------------------------------------------------