%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL010-1 : 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 : n017.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 0.34s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 7 unt; 0 def)
% Number of atoms : 7 ( 6 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).
fof(f2,axiom,
! [X2,X0,X1] : apply(apply(apply(s2,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_definition) ).
fof(f3,negated_conjecture,
! [X0] : X0 != apply(combinator,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_fixed_point) ).
fof(f4,plain,
! [X0] : apply(combinator,X0) != X0,
inference(reorient_equations,[],[f3]) ).
fof(f11,plain,
! [X2,X0,X1] : apply(X0,apply(X1,apply(X2,X2))) = apply(apply(apply(s2,apply(b,X0)),X2),X1),
inference(superposition,[],[f2,f1]) ).
fof(f38,plain,
! [X0,X1] : apply(X1,apply(X0,X0)) != apply(apply(apply(s2,apply(b,combinator)),X0),X1),
inference(superposition,[],[f4,f11]) ).
fof(f62,plain,
$false,
inference(equality_resolution,[],[f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COL010-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.26 % Computer : n017.cluster.edu
% 0.12/0.26 % Model : x86_64 x86_64
% 0.12/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.26 % Memory : 8046.5625MB
% 0.12/0.26 % OS : Linux 6.8.0-71-generic
% 0.12/0.26 % CPULimit : 300
% 0.12/0.26 % WCLimit : 300
% 0.12/0.26 % DateTime : Mon Sep 28 21:25:07 UTC 2026
% 0.12/0.27 % CPUTime :
% 0.12/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.30 Running first-order model finding
% 0.26/0.30 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
% 0.26/0.34 % (4052157)Will run a generic schedule for satisfiability detection.
% 0.26/0.34 % (4052165)dis+10_1_sil=32000:sp=arity:random_seed=3283771000:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.26/0.34 % (4052165) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4052157-4052165"...
% 0.26/0.34 % (4052163)% WARNING: option uhcvi not known.
% 0.26/0.34 % (4052165)...printing done.
% 0.26/0.34 % (4052165)Refutation found. Thanks to Tanya!
% 0.26/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.26/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.34 % (4052165)------------------------------
% 0.26/0.34 % (4052165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.34 % (4052165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.34 % (4052165)CaDiCaL version: 2.1.3
% 0.26/0.34 % (4052165)Termination reason: Refutation
% 0.26/0.34 % (4052165)Time elapsed: 0.004 s
% 0.26/0.34 % (4052165)Peak memory usage: 11 MB
% 0.26/0.34 % (4052165)Instructions burned: 5 (million)
% 0.26/0.34 % (4052157)Success in time 0.029 s
% 0.26/0.34 % Vampire exiting
%------------------------------------------------------------------------------