%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN637-1 : 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 : 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 02:17:47 PM UTC 2026
% Result : Unsatisfiable 0.23s 0.40s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% 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 : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_4) ).
fof(f12,negated_conjecture,
! [X0,X1] :
( ~ p4(X0,X1)
| p4(f16(X0),f16(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_12) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p22(X2,X3)
| ~ p4(X2,X0)
| ~ p4(X3,X1)
| p22(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_28) ).
fof(f32,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p4(X0,X2)
| p4(f17(X0,X1),f17(X2,X3))
| ~ p4(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_32) ).
fof(f39,negated_conjecture,
! [X0] : p4(f5(f8(f11(c25),f9(f10(c25),c28)),X0,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X0,c29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_39) ).
fof(f40,negated_conjecture,
p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_40) ).
fof(f41,negated_conjecture,
~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p22_41) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ p4(X1,X2)
| p4(f17(X0,X1),f17(X0,X2)) ),
inference(resolution,[],[f32,f4]) ).
fof(f72,plain,
! [X0,X1] : p4(f17(X0,f5(f8(f11(c25),f9(f10(c25),c28)),X1,c27)),f17(X0,f5(f8(f11(c25),f9(f10(c25),c28)),X1,c29))),
inference(resolution,[],[f39,f65]) ).
fof(f77,plain,
! [X0,X1] :
( ~ p4(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),X0)
| ~ p4(f16(f17(c27,f5(c25,c26,c27))),X1)
| p22(X0,X1) ),
inference(resolution,[],[f40,f28]) ).
fof(f109,plain,
! [X0,X1] : p4(f16(f17(X0,f5(f8(f11(c25),f9(f10(c25),c28)),X1,c27))),f16(f17(X0,f5(f8(f11(c25),f9(f10(c25),c28)),X1,c29)))),
inference(resolution,[],[f72,f12]) ).
fof(f185,plain,
! [X0] :
( ~ p4(f16(f17(c27,f5(c25,c26,c27))),X0)
| p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),X0) ),
inference(resolution,[],[f109,f77]) ).
fof(f193,plain,
p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
inference(resolution,[],[f185,f4]) ).
fof(f194,plain,
$false,
inference(forward_subsumption_resolution,[],[f193,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN637-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.23/0.28 % Computer : n007.cluster.edu
% 0.23/0.28 % Model : x86_64 x86_64
% 0.23/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.28 % Memory : 8046.5625MB
% 0.23/0.28 % OS : Linux 6.8.0-71-generic
% 0.23/0.28 % CPULimit : 300
% 0.23/0.28 % WCLimit : 300
% 0.23/0.28 % DateTime : Mon Sep 28 16:35:56 UTC 2026
% 0.23/0.28 % CPUTime :
% 0.23/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.23/0.33 Running first-order model finding
% 0.23/0.33 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
% 0.23/0.40 % (2540969)Will run a generic schedule for satisfiability detection.
% 0.23/0.40 % (2540978)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=898097817:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.23/0.40 % (2540975)% WARNING: option uhcvi not known.
% 0.23/0.40 % (2540976)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4118680206:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.23/0.40 % (2540974)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3087747676_2999 on theBenchmark for (2999ds/0Mi)
% 0.23/0.40 % (2540977)dis+10_1_sil=32000:sp=arity:random_seed=3683581528:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.23/0.40 % (2540975)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2710834961:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.40 % (2540979)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1290890447:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.23/0.40 % TRYING [1]
% 0.23/0.40 % TRYING [2]
% 0.23/0.40 % TRYING [3]
% 0.23/0.40 % (2540979) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2540969-2540979"...
% 0.23/0.40 % (2540979)...printing done.
% 0.23/0.40 % (2540980)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=823617805:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.23/0.40 % (2540979)Refutation found. Thanks to Tanya!
% 0.23/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.40 % (2540979)------------------------------
% 0.23/0.40 % (2540979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.40 % (2540979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.40 % (2540979)CaDiCaL version: 2.1.3
% 0.23/0.40 % (2540979)Termination reason: Refutation
% 0.23/0.40 % (2540979)Time elapsed: 0.008 s
% 0.23/0.40 % (2540979)Peak memory usage: 11 MB
% 0.23/0.40 % (2540979)Instructions burned: 6 (million)
% 0.23/0.40 % (2540969)Success in time 0.051 s
% 0.23/0.40 % Vampire exiting
%------------------------------------------------------------------------------