%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL056-1 : 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 : n019.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 : 4
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 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,axiom,
response(a,b) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_to_b_responds_c) ).
fof(f3,axiom,
response(a,c) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_to_c_responds_b) ).
fof(f4,plain,
b = response(a,c),
inference(reorient_equations,[],[f3]) ).
fof(f5,negated_conjecture,
! [X0,X1] : response(X0,X1) != X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_exists_a_happy_bird) ).
fof(f8,plain,
! [X2,X0,X1] : response(X0,response(X1,X2)) != X2,
inference(superposition,[],[f5,f1]) ).
fof(f9,plain,
! [X0] : b != response(X0,c),
inference(superposition,[],[f8,f2]) ).
fof(f13,plain,
b != b,
inference(superposition,[],[f9,f4]) ).
fof(f15,plain,
$false,
inference(trivial_inequality_removal,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL056-1 : 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 : n019.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 21:31:33 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 % (298936)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (298945)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1223773747:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.25 % (298945) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-298936-298945"...
% 0.08/0.25 % (298945)...printing done.
% 0.08/0.25 % (298942)% WARNING: option uhcvi not known.
% 0.08/0.25 % (298945)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 % (298945)------------------------------
% 0.08/0.25 % (298945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (298945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (298945)CaDiCaL version: 2.1.3
% 0.08/0.25 % (298945)Termination reason: Refutation
% 0.08/0.25 % (298945)Time elapsed: 0.001 s
% 0.08/0.25 % (298945)Peak memory usage: 11 MB
% 0.08/0.25 % (298945)Instructions burned: 1 (million)
% 0.08/0.25 % (298936)Success in time 0.037 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------