%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN386+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 02:07:33 PM UTC 2026
% Result : Theorem 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 85 ( 28 ~; 20 |; 19 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 118 ( 86 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X0] :
? [X1] : big_f(X0,X1)
& ? [X0] :
! [X2] :
? [X3] :
! [X4] :
( big_s(X3,X4)
=> big_d(X4,X0,X2) )
& ! [X2] :
? [X5] :
! [X6,X7] :
( big_d(X6,X7,X5)
=> ! [X1,X8] :
( ( big_f(X6,X1)
& big_f(X7,X8) )
=> big_d(X1,X8,X2) ) ) )
=> ? [X1] :
! [X2] :
? [X9] :
! [X4] :
( big_s(X9,X4)
=> ! [X8] :
( big_f(X4,X8)
=> big_d(X8,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2138) ).
fof(f2,negated_conjecture,
~ ( ( ! [X0] :
? [X1] : big_f(X0,X1)
& ? [X0] :
! [X2] :
? [X3] :
! [X4] :
( big_s(X3,X4)
=> big_d(X4,X0,X2) )
& ! [X2] :
? [X5] :
! [X6,X7] :
( big_d(X6,X7,X5)
=> ! [X1,X8] :
( ( big_f(X6,X1)
& big_f(X7,X8) )
=> big_d(X1,X8,X2) ) ) )
=> ? [X1] :
! [X2] :
? [X9] :
! [X4] :
( big_s(X9,X4)
=> ! [X8] :
( big_f(X4,X8)
=> big_d(X8,X1,X2) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ( ! [X0] :
? [X1] : big_f(X0,X1)
& ? [X2] :
! [X3] :
? [X4] :
! [X5] :
( big_s(X4,X5)
=> big_d(X5,X2,X3) )
& ! [X6] :
? [X7] :
! [X8,X9] :
( big_d(X8,X9,X7)
=> ! [X10,X11] :
( ( big_f(X8,X10)
& big_f(X9,X11) )
=> big_d(X10,X11,X6) ) ) )
=> ? [X12] :
! [X13] :
? [X14] :
! [X15] :
( big_s(X14,X15)
=> ! [X16] :
( big_f(X15,X16)
=> big_d(X16,X12,X13) ) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ! [X12] :
? [X13] :
! [X14] :
? [X15] :
( ? [X16] :
( ~ big_d(X16,X12,X13)
& big_f(X15,X16) )
& big_s(X14,X15) )
& ! [X0] :
? [X1] : big_f(X0,X1)
& ? [X2] :
! [X3] :
? [X4] :
! [X5] :
( big_d(X5,X2,X3)
| ~ big_s(X4,X5) )
& ! [X6] :
? [X7] :
! [X8,X9] :
( ! [X10,X11] :
( big_d(X10,X11,X6)
| ~ big_f(X8,X10)
| ~ big_f(X9,X11) )
| ~ big_d(X8,X9,X7) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ! [X12] :
? [X13] :
! [X14] :
? [X15] :
( ? [X16] :
( ~ big_d(X16,X12,X13)
& big_f(X15,X16) )
& big_s(X14,X15) )
& ! [X0] :
? [X1] : big_f(X0,X1)
& ? [X2] :
! [X3] :
? [X4] :
! [X5] :
( big_d(X5,X2,X3)
| ~ big_s(X4,X5) )
& ! [X6] :
? [X7] :
! [X8,X9] :
( ! [X10,X11] :
( big_d(X10,X11,X6)
| ~ big_f(X8,X10)
| ~ big_f(X9,X11) )
| ~ big_d(X8,X9,X7) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
! [X14,X12] : big_f(sK5(X12,X14),sK6(X12,X14)),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
! [X14,X12] : ~ big_d(sK6(X12,X14),X12,sK3(X12)),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
! [X10,X11,X8,X6,X9] :
( ~ big_d(X8,X9,sK1(X6))
| ~ big_f(X9,X11)
| ~ big_f(X8,X10)
| big_d(X10,X11,X6) ),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
! [X14,X12] : big_s(X14,sK5(X12,X14)),
inference(cnf_transformation,[],[f5]) ).
fof(f10,plain,
! [X3,X5] :
( ~ big_s(sK4(X3),X5)
| big_d(X5,sK0,X3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f11,plain,
! [X0] : big_f(X0,sK2(X0)),
inference(cnf_transformation,[],[f5]) ).
fof(f12,plain,
! [X3,X5] :
( ~ big_d(X5,sK0,X3)
| ~ big_s(sK4(X3),X5) ),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f13,plain,
! [X10,X11,X8,X6,X9] :
( ~ big_d(X10,X11,X6)
| ~ big_f(X9,X11)
| ~ big_f(X8,X10)
| big_d(X8,X9,sK1(X6)) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f14,plain,
! [X14,X12] : big_d(sK6(X12,X14),X12,sK3(X12)),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f16,plain,
! [X2,X3,X0,X1] :
( ~ big_f(X2,sK6(X1,X3))
| ~ big_f(X0,X1)
| big_d(X2,X0,sK1(sK3(X1))) ),
inference(resolution,[],[f13,f14]) ).
fof(f17,plain,
! [X2,X0,X1] :
( big_d(sK5(X1,X2),X0,sK1(sK3(X1)))
| ~ big_f(X0,X1) ),
inference(resolution,[],[f16,f6]) ).
fof(f18,plain,
! [X0,X1] :
( ~ big_s(sK4(sK1(sK3(X0))),sK5(X0,X1))
| ~ big_f(sK0,X0) ),
inference(resolution,[],[f17,f12]) ).
fof(f20,plain,
! [X0] : ~ big_f(sK0,X0),
inference(resolution,[],[f18,f9]) ).
fof(f21,plain,
$false,
inference(resolution,[],[f20,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN386+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n018.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 15:55:09 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.09/0.26 % (3502887)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (3502893)% WARNING: option uhcvi not known.
% 0.09/0.26 % (3502893)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=48690911:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.26 % (3502893) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3502887-3502893"...
% 0.09/0.26 % (3502893)...printing done.
% 0.09/0.26 % (3502893)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Theorem for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (3502893)------------------------------
% 0.09/0.26 % (3502893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (3502893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (3502893)CaDiCaL version: 2.1.3
% 0.09/0.26 % (3502893)Termination reason: Refutation
% 0.09/0.26 % (3502893)Time elapsed: 0.001 s
% 0.09/0.26 % (3502893)Peak memory usage: 11 MB
% 0.09/0.26 % (3502893)Instructions burned: 1 (million)
% 0.09/0.26 % (3502887)Success in time 0.025 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------