%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN656-1 : 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 : n018.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 02:17:49 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.27s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 16 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).
fof(f6,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_6) ).
fof(f22,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_22) ).
fof(f31,negated_conjecture,
! [X0] : p25(f5(c29,f13(c31,f15(c32,X0))),f13(c31,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_31) ).
fof(f32,negated_conjecture,
! [X2,X0,X1] :
( p25(f5(f7(c28,X0),X1),X2)
| ~ p25(f5(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_32) ).
fof(f35,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p25(X3,X2)
| ~ p3(X2,X1)
| ~ p4(X3,X0)
| p25(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_35) ).
fof(f45,negated_conjecture,
~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p25_45) ).
fof(f46,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p25(f5(f7(c28,X0),X3),X2)
| ~ p25(f5(X0,X1),X3)
| p25(f5(f7(c28,X0),X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_46) ).
fof(f49,negated_conjecture,
! [X0] :
( p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X0))),f13(c31,c34))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_49) ).
fof(f59,plain,
! [X0,X1] :
( ~ p3(X0,X1)
| p3(X1,X0) ),
inference(resolution,[],[f22,f6]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ p4(f5(c29,f13(c31,f15(c32,X0))),X2)
| ~ p3(f13(c31,X0),X1)
| p25(X2,X1) ),
inference(resolution,[],[f35,f31]) ).
fof(f104,plain,
~ p25(f5(c29,f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
inference(resolution,[],[f45,f32]) ).
fof(f119,plain,
! [X0,X1] :
( ~ p25(f5(c29,X1),f13(c31,f15(f17(c33,c34),X0)))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0)))
| p25(f5(f7(c28,c29),X1),f13(c31,c34)) ),
inference(resolution,[],[f49,f46]) ).
fof(f165,plain,
! [X0,X1] :
( p25(f5(c29,f13(c31,f15(c32,X0))),X1)
| ~ p3(f13(c31,X0),X1) ),
inference(resolution,[],[f81,f5]) ).
fof(f172,plain,
~ p3(f13(c31,f15(f17(c33,c34),c35)),f13(c31,c34)),
inference(resolution,[],[f165,f104]) ).
fof(f204,plain,
! [X0] :
( p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),X0)))),f13(c31,c34))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0))) ),
inference(resolution,[],[f119,f31]) ).
fof(f320,plain,
p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),c35))),
inference(resolution,[],[f204,f45]) ).
fof(f331,plain,
p3(f13(c31,f15(f17(c33,c34),c35)),f13(c31,c34)),
inference(resolution,[],[f320,f59]) ).
fof(f333,plain,
$false,
inference(forward_subsumption_resolution,[],[f331,f172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN656-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n018.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 16:42:10 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
% 0.21/0.27 % (3532175)Will run a generic schedule for satisfiability detection.
% 0.21/0.27 % (3532183)dis+10_1_sil=32000:sp=arity:random_seed=3261528427:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.27 % (3532181)% WARNING: option uhcvi not known.
% 0.21/0.27 % (3532183) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3532175-3532183"...
% 0.21/0.27 % (3532180)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=114030507_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.27 % (3532183)...printing done.
% 0.21/0.27 % (3532181)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2363544511:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.27 % (3532182)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1344764248:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.27 % (3532184)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2253733215:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.27 % (3532183)Refutation found. Thanks to Tanya!
% 0.21/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.27 % (3532183)------------------------------
% 0.21/0.27 % (3532183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.27 % (3532183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.27 % (3532183)CaDiCaL version: 2.1.3
% 0.21/0.27 % (3532183)Termination reason: Refutation
% 0.21/0.27 % (3532183)Time elapsed: 0.006 s
% 0.21/0.27 % (3532183)Peak memory usage: 11 MB
% 0.21/0.27 % (3532183)Instructions burned: 16 (million)
% 0.21/0.27 % (3532175)Success in time 0.035 s
% 0.21/0.27 % Vampire exiting
%------------------------------------------------------------------------------