%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX206-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 01:46:43 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : impl(btrue,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom) ).
fof(f4,axiom,
! [X0] : x2(z,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_002) ).
fof(f6,axiom,
! [X0] : plus_not_idem(X0) = impl(eq(x2(X0,X0),X0),eq2(btrue,bfalse)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_004) ).
fof(f9,axiom,
eq2(btrue,bfalse) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_006) ).
fof(f10,plain,
bfalse = eq2(btrue,bfalse),
inference(reorient_equations,[],[f9]) ).
fof(f16,axiom,
! [X0] : eq(X0,X0) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_010) ).
fof(f17,plain,
! [X0] : btrue = eq(X0,X0),
inference(reorient_equations,[],[f16]) ).
fof(f18,axiom,
! [X0] : eq2(X0,X0) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_011) ).
fof(f19,plain,
! [X0] : btrue = eq2(X0,X0),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
! [X0] : eq2(plus_not_idem(X0),bfalse) != btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f21,plain,
! [X0] : btrue != eq2(plus_not_idem(X0),bfalse),
inference(reorient_equations,[],[f20]) ).
fof(f22,plain,
! [X0] : btrue != eq2(impl(eq(x2(X0,X0),X0),eq2(btrue,bfalse)),bfalse),
inference(definition_unfolding,[],[f21,f6]) ).
fof(f23,plain,
btrue != eq2(impl(eq(z,z),eq2(btrue,bfalse)),bfalse),
inference(superposition,[],[f22,f4]) ).
fof(f24,plain,
btrue != eq2(impl(eq(z,z),bfalse),bfalse),
inference(superposition,[],[f23,f10]) ).
fof(f27,plain,
btrue != eq2(impl(btrue,bfalse),bfalse),
inference(superposition,[],[f24,f17]) ).
fof(f29,plain,
btrue != eq2(bfalse,bfalse),
inference(superposition,[],[f27,f1]) ).
fof(f33,plain,
btrue != btrue,
inference(superposition,[],[f29,f19]) ).
fof(f34,plain,
$false,
inference(trivial_inequality_removal,[],[f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX206-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n013.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
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 15:09:20 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
% 0.19/0.27 % (1255834)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (1255845)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=910089936:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.27 % (1255845) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1255834-1255845"...
% 0.19/0.27 % (1255845)...printing done.
% 0.19/0.27 % (1255845)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.27 % (1255845)------------------------------
% 0.19/0.27 % (1255845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (1255845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (1255845)CaDiCaL version: 2.1.3
% 0.19/0.27 % (1255845)Termination reason: Refutation
% 0.19/0.27 % (1255845)Time elapsed: 0.001 s
% 0.19/0.27 % (1255845)Peak memory usage: 12 MB
% 0.19/0.27 % (1255845)Instructions burned: 1 (million)
% 0.19/0.27 % (1255834)Success in time 0.036 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------