%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN726+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 : n017.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 02:18:09 PM UTC 2026
% Result : Theorem 0.08s 0.27s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 1
% Syntax : Number of formulae : 25 ( 9 unt; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 97 ( 27 ~; 33 |; 25 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 97 ( 89 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ( ! [X0,X1,X2] :
( ( p(X0,X1)
& p(X1,X2) )
=> p(X0,X2) )
& ! [X0,X1,X2] :
( ( q(X0,X1)
& q(X1,X2) )
=> q(X0,X2) )
& ! [X0,X1] :
( q(X0,X1)
=> q(X1,X0) )
& ! [X0,X1] :
( p(X0,X1)
| q(X0,X1) ) )
=> ! [X0,X1] : p(X0,X1) )
| ! [X0,X1] : q(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm400) ).
fof(f2,negated_conjecture,
~ ( ( ( ! [X0,X1,X2] :
( ( p(X0,X1)
& p(X1,X2) )
=> p(X0,X2) )
& ! [X0,X1,X2] :
( ( q(X0,X1)
& q(X1,X2) )
=> q(X0,X2) )
& ! [X0,X1] :
( q(X0,X1)
=> q(X1,X0) )
& ! [X0,X1] :
( p(X0,X1)
| q(X0,X1) ) )
=> ! [X0,X1] : p(X0,X1) )
| ! [X0,X1] : q(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ( ( ( ! [X0,X1,X2] :
( ( p(X0,X1)
& p(X1,X2) )
=> p(X0,X2) )
& ! [X3,X4,X5] :
( ( q(X3,X4)
& q(X4,X5) )
=> q(X3,X5) )
& ! [X6,X7] :
( q(X6,X7)
=> q(X7,X6) )
& ! [X8,X9] :
( p(X8,X9)
| q(X8,X9) ) )
=> ! [X10,X11] : p(X10,X11) )
| ! [X12,X13] : q(X12,X13) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
( ? [X10,X11] : ~ p(X10,X11)
& ! [X0,X1,X2] :
( p(X0,X2)
| ~ p(X0,X1)
| ~ p(X1,X2) )
& ! [X3,X4,X5] :
( q(X3,X5)
| ~ q(X3,X4)
| ~ q(X4,X5) )
& ! [X6,X7] :
( q(X7,X6)
| ~ q(X6,X7) )
& ! [X8,X9] :
( p(X8,X9)
| q(X8,X9) )
& ? [X12,X13] : ~ q(X12,X13) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ? [X10,X11] : ~ p(X10,X11)
& ! [X0,X1,X2] :
( p(X0,X2)
| ~ p(X0,X1)
| ~ p(X1,X2) )
& ! [X3,X4,X5] :
( q(X3,X5)
| ~ q(X3,X4)
| ~ q(X4,X5) )
& ! [X6,X7] :
( q(X7,X6)
| ~ q(X6,X7) )
& ! [X8,X9] :
( p(X8,X9)
| q(X8,X9) )
& ? [X12,X13] : ~ q(X12,X13) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
! [X2,X0,X1] :
( ~ p(X1,X2)
| ~ p(X0,X1)
| p(X0,X2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
! [X3,X4,X5] :
( ~ q(X4,X5)
| ~ q(X3,X4)
| q(X3,X5) ),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
! [X6,X7] :
( ~ q(X6,X7)
| q(X7,X6) ),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
! [X8,X9] :
( p(X8,X9)
| q(X8,X9) ),
inference(cnf_transformation,[],[f5]) ).
fof(f10,plain,
~ q(sK0,sK1),
inference(cnf_transformation,[],[f5]) ).
fof(f11,plain,
~ p(sK2,sK3),
inference(cnf_transformation,[],[f5]) ).
fof(f12,plain,
q(sK2,sK3),
inference(resolution,[],[f9,f11]) ).
fof(f13,plain,
q(sK3,sK2),
inference(resolution,[],[f12,f8]) ).
fof(f14,plain,
! [X2,X0,X1] :
( ~ p(X0,X1)
| p(X0,X2)
| q(X1,X2) ),
inference(resolution,[],[f6,f9]) ).
fof(f16,plain,
! [X0] :
( ~ q(X0,sK2)
| q(X0,sK3) ),
inference(resolution,[],[f7,f12]) ).
fof(f17,plain,
! [X0] :
( ~ q(X0,sK3)
| q(X0,sK2) ),
inference(resolution,[],[f7,f13]) ).
fof(f18,plain,
! [X2,X0,X1] :
( p(X0,X1)
| q(X2,X1)
| q(X0,X2) ),
inference(resolution,[],[f14,f9]) ).
fof(f20,plain,
! [X0] :
( q(X0,sK3)
| q(sK2,X0) ),
inference(resolution,[],[f18,f11]) ).
fof(f40,plain,
! [X0] :
( q(X0,sK3)
| q(X0,sK2) ),
inference(resolution,[],[f20,f8]) ).
fof(f41,plain,
! [X0] : q(X0,sK2),
inference(forward_subsumption_resolution,[],[f40,f17]) ).
fof(f126,plain,
! [X0] : q(X0,sK3),
inference(backward_subsumption_resolution,[],[f16,f41]) ).
fof(f135,plain,
! [X0] : q(sK3,X0),
inference(resolution,[],[f126,f8]) ).
fof(f138,plain,
! [X0,X1] :
( ~ q(X0,sK3)
| q(X0,X1) ),
inference(resolution,[],[f135,f7]) ).
fof(f140,plain,
! [X0,X1] : q(X0,X1),
inference(forward_subsumption_resolution,[],[f138,f126]) ).
fof(f141,plain,
$false,
inference(backward_subsumption_resolution,[],[f10,f140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN726+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n017.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 16:44:51 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.08/0.27 % (3699505)Will run a generic schedule for satisfiability detection.
% 0.08/0.27 % (3699511)% WARNING: option uhcvi not known.
% 0.08/0.27 % (3699511)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3724396712:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.27 % (3699511) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3699505-3699511"...
% 0.08/0.27 % (3699511)...printing done.
% 0.08/0.27 % (3699511)Refutation found. Thanks to Tanya!
% 0.08/0.27 % SZS status Theorem for theBenchmark
% 0.08/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.27 % (3699511)------------------------------
% 0.08/0.27 % (3699511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.27 % (3699511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.27 % (3699511)CaDiCaL version: 2.1.3
% 0.08/0.27 % (3699511)Termination reason: Refutation
% 0.08/0.27 % (3699511)Time elapsed: 0.002 s
% 0.08/0.27 % (3699511)Peak memory usage: 11 MB
% 0.08/0.27 % (3699511)Instructions burned: 6 (million)
% 0.08/0.27 % (3699505)Success in time 0.029 s
% 0.08/0.27 % Vampire exiting
%------------------------------------------------------------------------------