%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL031-1 : 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 : n020.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 09:38:12 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.27s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 6 unt; 0 def)
% Number of atoms : 6 ( 5 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : apply(apply(l,X0),X1) = apply(X0,apply(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_definition) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(o,X0),X1) = apply(X1,apply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o_definition) ).
fof(f3,negated_conjecture,
! [X0] : apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).
fof(f13,plain,
! [X0] : apply(X0,f(X0)) != apply(apply(o,X0),f(X0)),
inference(superposition,[],[f3,f2]) ).
fof(f14,plain,
! [X0] : apply(apply(X0,X0),f(apply(X0,X0))) != apply(apply(apply(l,o),X0),f(apply(X0,X0))),
inference(superposition,[],[f13,f1]) ).
fof(f18,plain,
$false,
inference(equality_resolution,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : COL031-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n020.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 21:31:04 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.21 Running first-order model finding
% 0.10/0.21 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
% 0.10/0.27 % (589157)Will run a generic schedule for satisfiability detection.
% 0.10/0.27 % (589180)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1999463081:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.27 % (589180) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-589157-589180"...
% 0.10/0.27 % (589180)...printing done.
% 0.10/0.27 % (589179)% WARNING: option uhcvi not known.
% 0.10/0.27 % (589180)Refutation found. Thanks to Tanya!
% 0.10/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.27 % (589180)------------------------------
% 0.10/0.27 % (589180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.27 % (589180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.27 % (589180)CaDiCaL version: 2.1.3
% 0.10/0.27 % (589180)Termination reason: Refutation
% 0.10/0.27 % (589180)Time elapsed: 0.001 s
% 0.10/0.27 % (589180)Peak memory usage: 11 MB
% 0.10/0.27 % (589180)Instructions burned: 2 (million)
% 0.10/0.27 % (589157)Success in time 0.042 s
% 0.10/0.27 % Vampire exiting
%------------------------------------------------------------------------------