%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL161-1 : 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 : n007.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 11:57:48 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : xor(X0,falsehood) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LCL002-0.ax',axiom_2) ).
fof(f3,axiom,
! [X0] : xor(X0,X0) = falsehood,
file('/export/starexec/sandbox/benchmark/Axioms/LCL002-0.ax',axiom_3) ).
fof(f4,plain,
! [X0] : falsehood = xor(X0,X0),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0] : and_star(X0,truth) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LCL002-0.ax',axiom_4) ).
fof(f10,axiom,
! [X0,X1] : xor(X0,xor(truth,X1)) = xor(xor(X0,truth),X1),
file('/export/starexec/sandbox/benchmark/Axioms/LCL002-0.ax',axiom_7) ).
fof(f12,axiom,
! [X0,X1] : xor(X0,X1) = xor(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xor_commutativity) ).
fof(f14,axiom,
! [X0,X1] : and_star(X0,X1) = and_star(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_star_commutativity) ).
fof(f17,axiom,
! [X0,X1] : implies(X0,X1) = xor(truth,and_star(X0,xor(truth,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f18,negated_conjecture,
implies(truth,x) != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_axiom) ).
fof(f19,plain,
x != implies(truth,x),
inference(reorient_equations,[],[f18]) ).
fof(f21,plain,
x != xor(truth,and_star(truth,xor(truth,x))),
inference(definition_unfolding,[],[f19,f17]) ).
fof(f26,plain,
! [X0] : xor(falsehood,X0) = X0,
inference(superposition,[],[f12,f2]) ).
fof(f36,plain,
! [X0] : and_star(truth,X0) = X0,
inference(superposition,[],[f14,f5]) ).
fof(f50,plain,
x != xor(truth,xor(truth,x)),
inference(superposition,[],[f21,f36]) ).
fof(f71,plain,
! [X0] : xor(falsehood,X0) = xor(truth,xor(truth,X0)),
inference(superposition,[],[f10,f4]) ).
fof(f87,plain,
! [X0] : xor(truth,xor(truth,X0)) = X0,
inference(forward_demodulation,[],[f71,f26]) ).
fof(f96,plain,
x != x,
inference(superposition,[],[f50,f87]) ).
fof(f99,plain,
$false,
inference(trivial_inequality_removal,[],[f96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL161-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n007.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 15:22:25 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.43 Running first-order model finding
% 0.10/0.43 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
% 0.18/0.47 % (1581437)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (1581444)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3383984428:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.47 % (1581444) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1581437-1581444"...
% 0.18/0.47 % (1581443)% WARNING: option uhcvi not known.
% 0.18/0.47 % (1581444)...printing done.
% 0.18/0.47 % (1581444)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (1581444)------------------------------
% 0.18/0.47 % (1581444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (1581444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (1581444)CaDiCaL version: 2.1.3
% 0.18/0.47 % (1581444)Termination reason: Refutation
% 0.18/0.47 % (1581444)Time elapsed: 0.002 s
% 0.18/0.47 % (1581444)Peak memory usage: 11 MB
% 0.18/0.47 % (1581444)Instructions burned: 4 (million)
% 0.18/0.47 % (1581437)Success in time 0.035 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------