%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL061-3 : TPTP v9.3.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 09:38:19 AM UTC 2026
% Result : Unsatisfiable 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(t,X0),X1) = apply(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_definition) ).
fof(f3,negated_conjecture,
apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,t)),b)),b),x),y),z) != apply(x,apply(z,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_q1_combinator) ).
fof(f6,plain,
apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,t)),b)),b),x),y),z) != apply(x,apply(apply(t,y),z)),
inference(superposition,[],[f3,f2]) ).
fof(f7,plain,
apply(x,apply(apply(t,y),z)) != apply(apply(apply(apply(apply(b,apply(t,t)),b),apply(b,x)),y),z),
inference(forward_demodulation,[],[f6,f1]) ).
fof(f8,plain,
apply(x,apply(apply(t,y),z)) != apply(apply(apply(apply(t,t),apply(b,apply(b,x))),y),z),
inference(forward_demodulation,[],[f7,f1]) ).
fof(f9,plain,
! [X2,X0,X1] : apply(X1,apply(X0,X2)) = apply(apply(apply(t,X0),apply(b,X1)),X2),
inference(superposition,[],[f1,f2]) ).
fof(f21,plain,
apply(x,apply(apply(t,y),z)) != apply(apply(apply(b,x),apply(t,y)),z),
inference(superposition,[],[f8,f9]) ).
fof(f23,plain,
$false,
inference(forward_subsumption_resolution,[],[f21,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL061-3 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n009.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 21:32:26 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.20/0.27 % (3511388)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (3511398)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2457780147:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.27 % (3511398) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3511388-3511398"...
% 0.20/0.27 % (3511398)...printing done.
% 0.20/0.27 % (3511394)% WARNING: option uhcvi not known.
% 0.20/0.27 % (3511398)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (3511398)------------------------------
% 0.20/0.27 % (3511398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (3511398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (3511398)CaDiCaL version: 2.1.3
% 0.20/0.27 % (3511398)Termination reason: Refutation
% 0.20/0.27 % (3511398)Time elapsed: 0.001 s
% 0.20/0.27 % (3511398)Peak memory usage: 11 MB
% 0.20/0.27 % (3511398)Instructions burned: 2 (million)
% 0.20/0.27 % (3511388)Success in time 0.034 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------