%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL139-1 : 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 : n017.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 11:57:45 AM UTC 2026
% Result : Unsatisfiable 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 36 unt; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_1) ).
fof(f2,axiom,
! [X2,X0,X1] : implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_2) ).
fof(f3,plain,
! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
inference(reorient_equations,[],[f2]) ).
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,negated_conjecture,
implies(x,not(truth)) != not(x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_lemma) ).
fof(f8,plain,
! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
inference(superposition,[],[f4,f1]) ).
fof(f22,plain,
! [X0] : truth = implies(implies(not(X0),not(truth)),X0),
inference(superposition,[],[f6,f1]) ).
fof(f56,plain,
! [X0,X1] : truth = implies(implies(truth,X1),implies(implies(X1,X0),X0)),
inference(superposition,[],[f3,f1]) ).
fof(f76,plain,
! [X0,X1] : truth = implies(X1,implies(implies(X1,X0),X0)),
inference(forward_demodulation,[],[f56,f1]) ).
fof(f136,plain,
! [X0] : truth = implies(X0,implies(X0,X0)),
inference(superposition,[],[f76,f8]) ).
fof(f145,plain,
! [X0] : truth = implies(implies(truth,X0),X0),
inference(superposition,[],[f1,f76]) ).
fof(f147,plain,
! [X0] : truth = implies(X0,X0),
inference(forward_demodulation,[],[f145,f1]) ).
fof(f179,plain,
! [X0] : truth = implies(X0,truth),
inference(forward_demodulation,[],[f136,f147]) ).
fof(f186,plain,
! [X0,X1] : truth = implies(truth,implies(implies(truth,X1),implies(X0,X1))),
inference(superposition,[],[f3,f179]) ).
fof(f208,plain,
! [X0,X1] : truth = implies(implies(truth,X1),implies(X0,X1)),
inference(forward_demodulation,[],[f186,f1]) ).
fof(f215,plain,
! [X0,X1] : truth = implies(X1,implies(X0,X1)),
inference(forward_demodulation,[],[f208,f1]) ).
fof(f233,plain,
! [X2,X0,X1] : truth = implies(truth,implies(implies(implies(X1,X0),X2),implies(X0,X2))),
inference(superposition,[],[f3,f215]) ).
fof(f246,plain,
! [X2,X0,X1] : truth = implies(implies(implies(X1,X0),X2),implies(X0,X2)),
inference(forward_demodulation,[],[f233,f1]) ).
fof(f517,plain,
! [X0,X1] : truth = implies(truth,implies(not(X1),implies(X1,X0))),
inference(superposition,[],[f246,f6]) ).
fof(f518,plain,
! [X0] : truth = implies(truth,implies(not(truth),X0)),
inference(superposition,[],[f246,f22]) ).
fof(f581,plain,
! [X0] : truth = implies(not(truth),X0),
inference(forward_demodulation,[],[f518,f1]) ).
fof(f582,plain,
! [X0,X1] : truth = implies(not(X1),implies(X1,X0)),
inference(forward_demodulation,[],[f517,f1]) ).
fof(f614,plain,
! [X0] : implies(truth,X0) = implies(implies(X0,not(truth)),not(truth)),
inference(superposition,[],[f4,f581]) ).
fof(f634,plain,
! [X0] : implies(implies(X0,not(truth)),not(truth)) = X0,
inference(forward_demodulation,[],[f614,f1]) ).
fof(f720,plain,
! [X0] : truth = implies(not(implies(X0,not(truth))),X0),
inference(superposition,[],[f582,f634]) ).
fof(f758,plain,
! [X0] : truth = implies(truth,implies(X0,implies(not(X0),not(truth)))),
inference(superposition,[],[f6,f720]) ).
fof(f788,plain,
! [X0] : truth = implies(X0,implies(not(X0),not(truth))),
inference(forward_demodulation,[],[f758,f1]) ).
fof(f806,plain,
! [X0] : implies(implies(implies(not(X0),not(truth)),X0),X0) = implies(truth,implies(not(X0),not(truth))),
inference(superposition,[],[f4,f788]) ).
fof(f827,plain,
! [X0] : implies(not(X0),not(truth)) = implies(implies(implies(not(X0),not(truth)),X0),X0),
inference(forward_demodulation,[],[f806,f1]) ).
fof(f832,plain,
! [X0] : implies(truth,X0) = implies(not(X0),not(truth)),
inference(forward_demodulation,[],[f827,f22]) ).
fof(f834,plain,
! [X0] : implies(not(X0),not(truth)) = X0,
inference(forward_demodulation,[],[f832,f1]) ).
fof(f843,plain,
! [X0] : not(X0) = implies(X0,not(truth)),
inference(superposition,[],[f634,f834]) ).
fof(f915,plain,
not(x) != not(x),
inference(superposition,[],[f7,f843]) ).
fof(f916,plain,
$false,
inference(trivial_inequality_removal,[],[f915]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL139-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 % Computer : n017.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 15:19:05 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.46 Running first-order model finding
% 0.14/0.46 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
% 0.21/0.54 % (2721085)Will run a generic schedule for satisfiability detection.
% 0.21/0.54 % (2721095)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4264214290:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.54 % (2721091)% WARNING: option uhcvi not known.
% 0.21/0.54 % (2721094)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=607301548:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.54 % (2721090)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3977625715_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.54 % (2721092)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=541877160:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.54 % (2721091)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1879415380:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.54 % (2721093)dis+10_1_sil=32000:sp=arity:random_seed=1852146466:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.54 % (2721096)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=18615646:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.54 % TRYING [1]
% 0.21/0.54 % TRYING [2]
% 0.21/0.54 % TRYING [3]
% 0.21/0.54 % TRYING [4]
% 0.21/0.54 % TRYING [5]
% 0.21/0.54 % (2721092) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2721085-2721092"...
% 0.21/0.54 % (2721092)...printing done.
% 0.21/0.54 % (2721092)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (2721092)------------------------------
% 0.21/0.54 % (2721092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.54 % (2721092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.54 % (2721092)CaDiCaL version: 2.1.3
% 0.21/0.54 % (2721092)Termination reason: Refutation
% 0.21/0.54 % (2721092)Time elapsed: 0.033 s
% 0.21/0.54 % (2721092)Peak memory usage: 11 MB
% 0.21/0.54 % (2721092)Instructions burned: 33 (million)
% 0.21/0.54 % (2721085)Success in time 0.071 s
% 0.21/0.54 % Vampire exiting
%------------------------------------------------------------------------------