%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL002-1 : 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 09:38:05 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.28s
% Output : Refutation 0.10s
% 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 : 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_definition) ).
fof(f2,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(f4,axiom,
! [X0] : apply(i,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_definition) ).
fof(f5,negated_conjecture,
! [X0] : X0 != apply(fixed_pt,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).
fof(f6,plain,
! [X0] : apply(fixed_pt,X0) != X0,
inference(reorient_equations,[],[f5]) ).
fof(f13,plain,
! [X0,X1] : apply(apply(apply(s,X1),i),X0) = apply(apply(X1,X0),X0),
inference(superposition,[],[f1,f4]) ).
fof(f79,plain,
! [X0,X1] : apply(X0,apply(X1,X1)) = apply(apply(apply(s,apply(b,X0)),i),X1),
inference(superposition,[],[f13,f2]) ).
fof(f130,plain,
! [X0] : apply(X0,X0) != apply(apply(apply(s,apply(b,fixed_pt)),i),X0),
inference(superposition,[],[f6,f79]) ).
fof(f161,plain,
$false,
inference(equality_resolution,[],[f130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 % Computer : n020.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Mon Sep 28 21:29:20 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.25 Running first-order model finding
% 0.10/0.25 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
% 0.10/0.28 % (584004)Will run a generic schedule for satisfiability detection.
% 0.10/0.28 % (584015)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1419423254:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.10/0.28 % (584014)% WARNING: option uhcvi not known.
% 0.10/0.28 % (584015) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-584004-584015"...
% 0.10/0.28 % (584015)...printing done.
% 0.10/0.28 % (584015)Refutation found. Thanks to Tanya!
% 0.10/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.28 % (584015)------------------------------
% 0.10/0.28 % (584015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.28 % (584015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.28 % (584015)CaDiCaL version: 2.1.3
% 0.10/0.28 % (584015)Termination reason: Refutation
% 0.10/0.28 % (584015)Time elapsed: 0.005 s
% 0.10/0.28 % (584015)Peak memory usage: 11 MB
% 0.10/0.28 % (584015)Instructions burned: 13 (million)
% 0.10/0.28 % (584004)Success in time 0.019 s
% 0.10/0.28 % Vampire exiting
%------------------------------------------------------------------------------