%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN336+1 : TPTP v9.3.1. Released v2.0.0.
% 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 02:07:21 PM UTC 2026
% Result : Theorem 0.24s 0.31s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 20 ( 4 ~; 0 |; 8 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 19 ( 11 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
? [X1,X2] :
! [X3] :
( big_f(X0,X3)
=> ( big_f(X1,X3)
=> ( big_f(X2,X3)
=> ( big_f(X1,X0)
=> big_f(X3,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_15_1) ).
fof(f2,negated_conjecture,
~ ! [X0] :
? [X1,X2] :
! [X3] :
( big_f(X0,X3)
=> ( big_f(X1,X3)
=> ( big_f(X2,X3)
=> ( big_f(X1,X0)
=> big_f(X3,X2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X0] :
! [X1,X2] :
? [X3] :
( ~ big_f(X3,X2)
& big_f(X1,X0)
& big_f(X2,X3)
& big_f(X1,X3)
& big_f(X0,X3) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
? [X0] :
! [X1,X2] :
? [X3] :
( ~ big_f(X3,X2)
& big_f(X1,X0)
& big_f(X2,X3)
& big_f(X1,X3)
& big_f(X0,X3) ),
inference(flattening,[],[f3]) ).
fof(f8,plain,
! [X1] : big_f(X1,sK0),
inference(cnf_transformation,[],[f4]) ).
fof(f9,plain,
! [X2,X1] : ~ big_f(sK1(X1,X2),X2),
inference(cnf_transformation,[],[f4]) ).
fof(f10,plain,
$false,
inference(resolution,[],[f9,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN336+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 % Computer : n017.cluster.edu
% 0.07/0.21 % Model : x86_64 x86_64
% 0.07/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.21 % Memory : 8046.5625MB
% 0.07/0.21 % OS : Linux 6.8.0-71-generic
% 0.07/0.21 % CPULimit : 300
% 0.07/0.21 % WCLimit : 300
% 0.07/0.21 % DateTime : Mon Sep 28 15:40:36 UTC 2026
% 0.07/0.21 % CPUTime :
% 0.07/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.27 Running first-order model finding
% 0.24/0.27 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
% 0.24/0.31 % (3658835)Will run a generic schedule for satisfiability detection.
% 0.24/0.31 % (3658841)% WARNING: option uhcvi not known.
% 0.24/0.31 % (3658844)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1675003803:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.24/0.31 % (3658844) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3658835-3658844"...
% 0.24/0.31 % (3658844)...printing done.
% 0.24/0.31 % (3658841)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2048112960:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.24/0.31 % (3658841) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3658835-3658841"...
% 0.24/0.31 % (3658844)Refutation found. Thanks to Tanya!
% 0.24/0.31 % SZS status Theorem for theBenchmark
% 0.24/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.31 % (3658844)------------------------------
% 0.24/0.31 % (3658844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.31 % (3658844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.31 % (3658844)CaDiCaL version: 2.1.3
% 0.24/0.31 % (3658844)Termination reason: Refutation
% 0.24/0.31 % (3658844)Time elapsed: 0.001 s
% 0.24/0.31 % (3658844)Peak memory usage: 11 MB
% 0.24/0.31 % (3658835)Success in time 0.025 s
% 0.24/0.31 % Vampire exiting
%------------------------------------------------------------------------------