%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL053-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 09:38:17 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 5 unt; 0 def)
% Number of atoms : 5 ( 4 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : response(compose(X0,X1),X2) = response(X0,response(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composer_exists) ).
fof(f2,negated_conjecture,
! [X0] : response(X0,f(X0)) != response(a,response(b,response(c,f(X0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_bird_exists) ).
fof(f3,plain,
! [X0,X1] : response(X0,response(X1,f(compose(X0,X1)))) != response(a,response(b,response(c,f(compose(X0,X1))))),
inference(superposition,[],[f2,f1]) ).
fof(f4,plain,
! [X2,X0,X1] : response(a,response(b,response(c,f(compose(X2,compose(X0,X1)))))) != response(X2,response(X0,response(X1,f(compose(X2,compose(X0,X1)))))),
inference(superposition,[],[f3,f1]) ).
fof(f9,plain,
$false,
inference(equality_resolution,[],[f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL053-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n003.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 21:32:57 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.08/0.25 % (2049349)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (2049355)% WARNING: option uhcvi not known.
% 0.08/0.25 % (2049355)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=54173046:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.25 % (2049355) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2049349-2049355"...
% 0.08/0.25 % (2049355)...printing done.
% 0.08/0.25 % (2049355)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25 % (2049355)------------------------------
% 0.08/0.25 % (2049355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (2049355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (2049355)CaDiCaL version: 2.1.3
% 0.08/0.25 % (2049355)Termination reason: Refutation
% 0.08/0.25 % (2049355)Time elapsed: 0.001 s
% 0.08/0.25 % (2049355)Peak memory usage: 11 MB
% 0.08/0.25 % (2049355)Instructions burned: 1 (million)
% 0.08/0.25 % (2049349)Success in time 0.027 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------