%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL164-1 : 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 : n008.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 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 27 unt; 0 def)
% Number of atoms : 27 ( 26 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 10 ( 10 ~; 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; 4 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : not(X0) = xor(X0,truth),
file('/export/starexec/sandbox/benchmark/Axioms/LCL002-0.ax',axiom_1) ).
fof(f2,axiom,
! [X0] : xor(X0,falsehood) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LCL002-0.ax',axiom_2) ).
fof(f8,axiom,
! [X0] : and_star(xor(truth,X0),X0) = falsehood,
file('/export/starexec/sandbox/benchmark/Axioms/LCL002-0.ax',axiom_6) ).
fof(f9,plain,
! [X0] : falsehood = and_star(xor(truth,X0),X0),
inference(reorient_equations,[],[f8]) ).
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(f15,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_definition) ).
fof(f16,plain,
falsehood = not(truth),
inference(reorient_equations,[],[f15]) ).
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(implies(not(x),not(y)),implies(y,x)) != truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_axiom) ).
fof(f19,plain,
truth != implies(implies(not(x),not(y)),implies(y,x)),
inference(reorient_equations,[],[f18]) ).
fof(f20,plain,
falsehood = xor(truth,truth),
inference(definition_unfolding,[],[f16,f1]) ).
fof(f21,plain,
truth != xor(truth,and_star(xor(truth,and_star(xor(x,truth),xor(truth,xor(y,truth)))),xor(truth,xor(truth,and_star(y,xor(truth,x)))))),
inference(definition_unfolding,[],[f19,f17,f17,f1,f1,f17]) ).
fof(f23,plain,
! [X0] : falsehood = and_star(X0,xor(truth,X0)),
inference(forward_demodulation,[],[f9,f14]) ).
fof(f25,plain,
! [X0] : xor(X0,xor(truth,truth)) = X0,
inference(forward_demodulation,[],[f2,f20]) ).
fof(f27,plain,
! [X0] : xor(truth,truth) = and_star(X0,xor(truth,X0)),
inference(forward_demodulation,[],[f23,f20]) ).
fof(f36,plain,
truth != xor(truth,and_star(xor(truth,and_star(xor(x,truth),xor(truth,xor(truth,y)))),xor(truth,xor(truth,and_star(y,xor(truth,x)))))),
inference(superposition,[],[f21,f12]) ).
fof(f37,plain,
truth != xor(truth,and_star(xor(truth,and_star(xor(x,truth),xor(truth,xor(truth,y)))),xor(truth,xor(truth,and_star(xor(truth,x),y))))),
inference(forward_demodulation,[],[f36,f14]) ).
fof(f41,plain,
truth != xor(truth,and_star(xor(truth,xor(truth,and_star(xor(truth,x),y))),xor(truth,and_star(xor(x,truth),xor(truth,xor(truth,y)))))),
inference(forward_demodulation,[],[f37,f14]) ).
fof(f45,plain,
truth != xor(truth,and_star(xor(truth,xor(truth,and_star(xor(truth,x),y))),xor(truth,and_star(xor(truth,x),xor(truth,xor(truth,y)))))),
inference(forward_demodulation,[],[f41,f12]) ).
fof(f64,plain,
! [X0] : xor(xor(truth,truth),X0) = X0,
inference(superposition,[],[f12,f25]) ).
fof(f65,plain,
! [X0] : xor(truth,xor(truth,X0)) = X0,
inference(forward_demodulation,[],[f64,f10]) ).
fof(f104,plain,
truth != xor(truth,and_star(xor(truth,xor(truth,and_star(xor(truth,x),y))),xor(truth,and_star(xor(truth,x),y)))),
inference(superposition,[],[f45,f65]) ).
fof(f107,plain,
truth != xor(truth,and_star(xor(truth,and_star(xor(truth,x),y)),xor(truth,xor(truth,and_star(xor(truth,x),y))))),
inference(forward_demodulation,[],[f104,f14]) ).
fof(f110,plain,
truth != xor(truth,xor(truth,truth)),
inference(forward_demodulation,[],[f107,f27]) ).
fof(f113,plain,
$false,
inference(forward_subsumption_resolution,[],[f110,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL164-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 15:25:09 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.17/0.47 % (1374960)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (1374973)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2292207156_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % TRYING [1]
% 0.17/0.47 % TRYING [2]
% 0.17/0.47 % TRYING [3]
% 0.17/0.47 % (1374974)% WARNING: option uhcvi not known.
% 0.17/0.47 % TRYING [4]
% 0.17/0.47 % (1374976)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1452160567:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (1374977)dis+10_1_sil=32000:sp=arity:random_seed=127513335:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (1374978)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2284637781:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (1374974)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2904516626:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (1374979)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=473169719:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (1374980)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=542826548:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % TRYING [5]
% 0.17/0.47 % (1374979) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1374960-1374979"...
% 0.17/0.47 % (1374976) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1374960-1374976"...
% 0.17/0.47 % (1374979)...printing done.
% 0.17/0.47 % (1374976)...printing done.
% 0.17/0.47 % (1374979)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (1374979)------------------------------
% 0.17/0.47 % (1374979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (1374979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (1374979)CaDiCaL version: 2.1.3
% 0.17/0.47 % (1374979)Termination reason: Refutation
% 0.17/0.47 % (1374979)Time elapsed: 0.004 s
% 0.17/0.47 % (1374979)Peak memory usage: 11 MB
% 0.17/0.47 % (1374979)Instructions burned: 5 (million)
% 0.17/0.47 % (1374960)Success in time 0.046 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------