%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL158-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 10
% Syntax : Number of formulae : 58 ( 58 unt; 0 def)
% Number of atoms : 58 ( 57 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 17 ( 17 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/LCL001-2.ax',or_definition) ).
fof(f9,axiom,
! [X0,X1] : or(X0,X1) = or(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-2.ax',or_commutativity) ).
fof(f10,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/LCL002-1.ax',xor_definition) ).
fof(f15,axiom,
! [X0,X1] : and_star(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-1.ax',and_star_definition) ).
fof(f16,plain,
! [X0,X1] : not(or(not(X0),not(X1))) = and_star(X0,X1),
inference(reorient_equations,[],[f15]) ).
fof(f19,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-1.ax',false_definition) ).
fof(f20,negated_conjecture,
and_star(xor(truth,x),x) != falsehood,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_alternative_wajsberg_axiom) ).
fof(f21,plain,
falsehood != and_star(xor(truth,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(f24,plain,
! [X0,X1] : and_star(X0,X1) = not(implies(not(not(X0)),not(X1))),
inference(definition_unfolding,[],[f16,f7]) ).
fof(f26,plain,
! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
inference(definition_unfolding,[],[f9,f7,f7]) ).
fof(f32,plain,
falsehood != not(implies(not(not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(implies(not(not(not(truth))),not(x)))))),not(x))),
inference(definition_unfolding,[],[f21,f24,f23]) ).
fof(f33,plain,
falsehood != not(implies(not(not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(falsehood)),not(x)))))),not(x))),
inference(superposition,[],[f32,f19]) ).
fof(f60,plain,
! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
inference(superposition,[],[f4,f1]) ).
fof(f84,plain,
! [X0,X1] : truth = implies(implies(not(not(X0)),X1),implies(X0,X1)),
inference(superposition,[],[f6,f26]) ).
fof(f88,plain,
! [X0] : truth = implies(implies(not(X0),not(truth)),X0),
inference(superposition,[],[f6,f1]) ).
fof(f98,plain,
! [X0] : truth = implies(implies(not(X0),falsehood),X0),
inference(forward_demodulation,[],[f88,f19]) ).
fof(f102,plain,
! [X0] : truth = implies(implies(not(falsehood),X0),X0),
inference(superposition,[],[f98,f26]) ).
fof(f114,plain,
truth = implies(not(falsehood),not(falsehood)),
inference(superposition,[],[f102,f60]) ).
fof(f120,plain,
truth = implies(truth,not(falsehood)),
inference(superposition,[],[f102,f114]) ).
fof(f122,plain,
truth = not(falsehood),
inference(forward_demodulation,[],[f120,f1]) ).
fof(f125,plain,
! [X0] : truth = implies(implies(truth,X0),X0),
inference(superposition,[],[f102,f122]) ).
fof(f127,plain,
falsehood != not(implies(not(not(implies(not(not(implies(truth,not(not(x))))),not(implies(not(truth),not(x)))))),not(x))),
inference(superposition,[],[f33,f122]) ).
fof(f130,plain,
! [X0] : truth = implies(implies(truth,not(X0)),implies(X0,falsehood)),
inference(superposition,[],[f6,f122]) ).
fof(f133,plain,
! [X0] : implies(truth,X0) = implies(not(X0),falsehood),
inference(superposition,[],[f26,f122]) ).
fof(f134,plain,
! [X0] : implies(not(X0),falsehood) = X0,
inference(forward_demodulation,[],[f133,f1]) ).
fof(f137,plain,
! [X0] : truth = implies(not(X0),implies(X0,falsehood)),
inference(forward_demodulation,[],[f130,f1]) ).
fof(f140,plain,
falsehood != not(implies(not(not(x)),not(implies(not(not(implies(truth,not(not(x))))),not(implies(not(truth),not(x))))))),
inference(forward_demodulation,[],[f127,f26]) ).
fof(f142,plain,
! [X0] : truth = implies(X0,X0),
inference(forward_demodulation,[],[f125,f1]) ).
fof(f143,plain,
falsehood != not(implies(not(not(x)),not(implies(not(not(implies(truth,not(not(x))))),not(implies(falsehood,not(x))))))),
inference(forward_demodulation,[],[f140,f19]) ).
fof(f145,plain,
falsehood != not(implies(not(not(x)),not(implies(not(not(implies(falsehood,not(x)))),not(implies(truth,not(not(x)))))))),
inference(forward_demodulation,[],[f143,f26]) ).
fof(f147,plain,
falsehood != not(implies(not(not(x)),not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))))),
inference(forward_demodulation,[],[f145,f1]) ).
fof(f149,plain,
falsehood != not(implies(not(not(x)),not(implies(not(not(not(not(x)))),not(implies(falsehood,not(x))))))),
inference(forward_demodulation,[],[f147,f26]) ).
fof(f154,plain,
! [X0] : truth = implies(implies(X0,truth),truth),
inference(superposition,[],[f142,f60]) ).
fof(f301,plain,
! [X0] : truth = implies(implies(implies(not(not(X0)),truth),truth),implies(X0,not(not(X0)))),
inference(superposition,[],[f84,f60]) ).
fof(f339,plain,
! [X0] : truth = implies(truth,implies(X0,not(not(X0)))),
inference(forward_demodulation,[],[f301,f154]) ).
fof(f352,plain,
! [X0] : truth = implies(X0,not(not(X0))),
inference(forward_demodulation,[],[f339,f1]) ).
fof(f366,plain,
! [X0] : implies(truth,not(not(X0))) = implies(implies(not(not(X0)),X0),X0),
inference(superposition,[],[f4,f352]) ).
fof(f378,plain,
! [X0] : implies(truth,not(not(X0))) = implies(implies(not(X0),not(X0)),X0),
inference(forward_demodulation,[],[f366,f26]) ).
fof(f388,plain,
! [X0] : implies(truth,X0) = implies(truth,not(not(X0))),
inference(forward_demodulation,[],[f378,f142]) ).
fof(f392,plain,
! [X0] : implies(truth,X0) = not(not(X0)),
inference(forward_demodulation,[],[f388,f1]) ).
fof(f394,plain,
! [X0] : not(not(X0)) = X0,
inference(forward_demodulation,[],[f392,f1]) ).
fof(f416,plain,
! [X0,X1] : implies(X0,X1) = implies(not(X1),not(X0)),
inference(superposition,[],[f26,f394]) ).
fof(f422,plain,
! [X0] : not(X0) = implies(X0,falsehood),
inference(superposition,[],[f134,f394]) ).
fof(f648,plain,
falsehood != not(implies(implies(not(not(not(not(x)))),not(implies(falsehood,not(x)))),not(x))),
inference(superposition,[],[f149,f416]) ).
fof(f673,plain,
falsehood != not(implies(implies(implies(falsehood,not(x)),not(not(not(x)))),not(x))),
inference(forward_demodulation,[],[f648,f416]) ).
fof(f692,plain,
falsehood != not(implies(implies(implies(falsehood,not(x)),not(x)),not(x))),
inference(forward_demodulation,[],[f673,f394]) ).
fof(f706,plain,
falsehood != not(implies(implies(implies(not(x),falsehood),falsehood),not(x))),
inference(forward_demodulation,[],[f692,f4]) ).
fof(f720,plain,
falsehood != not(implies(not(implies(not(x),falsehood)),not(x))),
inference(forward_demodulation,[],[f706,f422]) ).
fof(f734,plain,
falsehood != not(implies(not(not(x)),implies(not(x),falsehood))),
inference(forward_demodulation,[],[f720,f26]) ).
fof(f748,plain,
not(truth) != falsehood,
inference(forward_demodulation,[],[f734,f137]) ).
fof(f762,plain,
$false,
inference(forward_subsumption_resolution,[],[f748,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL158-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n011.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 15:24:30 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49 % (2548223)Will run a generic schedule for satisfiability detection.
% 0.18/0.49 % (2548228)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3340635275_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.49 % TRYING [1]
% 0.18/0.49 % TRYING [2]
% 0.18/0.49 % (2548229)% WARNING: option uhcvi not known.
% 0.18/0.49 % TRYING [3]
% 0.18/0.49 % (2548229)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=791164565:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.49 % (2548230)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1962878054:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.49 % (2548233)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1190270650:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.49 % (2548231)dis+10_1_sil=32000:sp=arity:random_seed=2337500517:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.49 % (2548232)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3799542830:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.49 % (2548234)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3240913381:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.49 % TRYING [4]
% 0.18/0.49 % (2548230) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2548223-2548230"...
% 0.18/0.49 % (2548230)...printing done.
% 0.18/0.49 % (2548230)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (2548230)------------------------------
% 0.18/0.49 % (2548230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.49 % (2548230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.49 % (2548230)CaDiCaL version: 2.1.3
% 0.18/0.49 % (2548230)Termination reason: Refutation
% 0.18/0.49 % (2548230)Time elapsed: 0.016 s
% 0.18/0.49 % (2548230)Peak memory usage: 12 MB
% 0.18/0.49 % (2548230)Instructions burned: 28 (million)
% 0.18/0.49 % (2548223)Success in time 0.049 s
% 0.18/0.49 % Vampire exiting
%------------------------------------------------------------------------------