%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL012-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 09:38:10 AM UTC 2026
% Result : Unsatisfiable 0.26s 0.30s
% Output : Refutation 0.26s
% 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 : 3 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : apply(apply(u,X0),X1) = apply(X1,apply(apply(X0,X0),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_definition) ).
fof(f2,negated_conjecture,
! [X0] : X0 != apply(combinator,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_fixed_point) ).
fof(f3,plain,
! [X0] : apply(combinator,X0) != X0,
inference(reorient_equations,[],[f2]) ).
fof(f5,plain,
! [X0] : apply(apply(u,X0),combinator) != apply(apply(X0,X0),combinator),
inference(superposition,[],[f3,f1]) ).
fof(f7,plain,
$false,
inference(equality_resolution,[],[f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL012-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 % Computer : n003.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 21:31:28 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.26 Running first-order model finding
% 0.09/0.26 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
% 0.26/0.30 % (2046166)Will run a generic schedule for satisfiability detection.
% 0.26/0.30 % (2046177)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4063808041:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.26/0.30 % (2046177) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2046166-2046177"...
% 0.26/0.30 % (2046177)...printing done.
% 0.26/0.30 % (2046177)Refutation found. Thanks to Tanya!
% 0.26/0.30 % SZS status Unsatisfiable for theBenchmark
% 0.26/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.30 % (2046177)------------------------------
% 0.26/0.30 % (2046177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.30 % (2046177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.30 % (2046177)CaDiCaL version: 2.1.3
% 0.26/0.30 % (2046177)Termination reason: Refutation
% 0.26/0.30 % (2046177)Time elapsed: 0.001 s
% 0.26/0.30 % (2046177)Peak memory usage: 11 MB
% 0.26/0.30 % (2046166)Success in time 0.024 s
% 0.26/0.30 % Vampire exiting
%------------------------------------------------------------------------------