%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL155-1 : 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 : n001.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 11:57:47 AM UTC 2026
% Result : Unsatisfiable 0.22s 0.53s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 7 ( 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 : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_1) ).
fof(f4,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_3) ).
fof(f5,axiom,
! [X0,X1] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_4) ).
fof(f6,plain,
! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-2.ax',or_definition) ).
fof(f9,axiom,
! [X0,X1] : or(X0,X1) = or(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-2.ax',or_commutativity) ).
fof(f10,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-2.ax',and_definition) ).
fof(f13,axiom,
! [X0,X1] : xor(X0,X1) = or(and(X0,not(X1)),and(not(X0),X1)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL002-1.ax',xor_definition) ).
fof(f19,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox/benchmark/Axioms/LCL002-1.ax',false_definition) ).
fof(f20,negated_conjecture,
xor(x,x) != falsehood,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_alternative_wajsberg_axiom) ).
fof(f21,plain,
falsehood != xor(x,x),
inference(reorient_equations,[],[f20]) ).
fof(f22,plain,
! [X0,X1] : and(X0,X1) = not(implies(not(not(X0)),not(X1))),
inference(definition_unfolding,[],[f10,f7]) ).
fof(f23,plain,
! [X0,X1] : xor(X0,X1) = implies(not(not(implies(not(not(X0)),not(not(X1))))),not(implies(not(not(not(X0))),not(X1)))),
inference(definition_unfolding,[],[f13,f7,f22,f22]) ).
fof(f26,plain,
! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
inference(definition_unfolding,[],[f9,f7,f7]) ).
fof(f32,plain,
falsehood != implies(not(not(implies(not(not(x)),not(not(x))))),not(implies(not(not(not(x))),not(x)))),
inference(definition_unfolding,[],[f21,f23]) ).
fof(f35,plain,
falsehood != implies(not(not(implies(not(not(x)),not(not(x))))),not(implies(not(not(x)),not(not(x))))),
inference(superposition,[],[f32,f26]) ).
fof(f41,plain,
! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
inference(superposition,[],[f4,f1]) ).
fof(f69,plain,
! [X0] : truth = implies(implies(not(X0),not(truth)),X0),
inference(superposition,[],[f6,f1]) ).
fof(f79,plain,
! [X0] : truth = implies(implies(not(X0),falsehood),X0),
inference(forward_demodulation,[],[f69,f19]) ).
fof(f83,plain,
! [X0] : truth = implies(implies(not(falsehood),X0),X0),
inference(superposition,[],[f79,f26]) ).
fof(f95,plain,
truth = implies(not(falsehood),not(falsehood)),
inference(superposition,[],[f83,f41]) ).
fof(f101,plain,
truth = implies(truth,not(falsehood)),
inference(superposition,[],[f83,f95]) ).
fof(f103,plain,
truth = not(falsehood),
inference(forward_demodulation,[],[f101,f1]) ).
fof(f106,plain,
! [X0] : truth = implies(implies(truth,X0),X0),
inference(superposition,[],[f83,f103]) ).
fof(f119,plain,
! [X0] : truth = implies(X0,X0),
inference(forward_demodulation,[],[f106,f1]) ).
fof(f127,plain,
falsehood != implies(not(not(truth)),not(truth)),
inference(superposition,[],[f35,f119]) ).
fof(f135,plain,
falsehood != implies(not(falsehood),falsehood),
inference(forward_demodulation,[],[f127,f19]) ).
fof(f138,plain,
falsehood != implies(truth,falsehood),
inference(forward_demodulation,[],[f135,f103]) ).
fof(f140,plain,
$false,
inference(forward_subsumption_resolution,[],[f138,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL155-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.18/0.44 % Computer : n001.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 27 15:30:01 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.22/0.48 Running first-order model finding
% 0.22/0.48 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
% 0.22/0.53 % (3711992)Will run a generic schedule for satisfiability detection.
% 0.22/0.53 % (3712000)dis+10_1_sil=32000:sp=arity:random_seed=2225567127:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.53 % (3711999)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=358312735:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.53 % (3711998)% WARNING: option uhcvi not known.
% 0.22/0.53 % (3711999) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3711992-3711999"...
% 0.22/0.53 % (3711999)...printing done.
% 0.22/0.53 % (3711999)Refutation found. Thanks to Tanya!
% 0.22/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.53 % (3711999)------------------------------
% 0.22/0.53 % (3711999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.53 % (3711999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.53 % (3711999)CaDiCaL version: 2.1.3
% 0.22/0.53 % (3711999)Termination reason: Refutation
% 0.22/0.53 % (3711999)Time elapsed: 0.006 s
% 0.22/0.53 % (3711999)Peak memory usage: 12 MB
% 0.22/0.53 % (3711999)Instructions burned: 7 (million)
% 0.22/0.53 % (3711992)Success in time 0.033 s
% 0.22/0.53 % Vampire exiting
%------------------------------------------------------------------------------