%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL116-2 : 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 : n018.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 11:57:42 AM UTC 2026
% Result : Unsatisfiable 0.63s 0.74s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 5
% Syntax : Number of formulae : 47 ( 47 unt; 0 def)
% Number of atoms : 47 ( 46 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 70 ( 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/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/sandbox2/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/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,negated_conjecture,
implies(not(a),implies(b,not(implies(b,a)))) != truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_mv_50) ).
fof(f8,plain,
truth != implies(not(a),implies(b,not(implies(b,a)))),
inference(reorient_equations,[],[f7]) ).
fof(f9,plain,
! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
inference(superposition,[],[f4,f1]) ).
fof(f23,plain,
! [X0] : truth = implies(implies(not(X0),not(truth)),X0),
inference(superposition,[],[f6,f1]) ).
fof(f57,plain,
! [X0,X1] : truth = implies(implies(truth,X1),implies(implies(X1,X0),X0)),
inference(superposition,[],[f3,f1]) ).
fof(f77,plain,
! [X0,X1] : truth = implies(X1,implies(implies(X1,X0),X0)),
inference(forward_demodulation,[],[f57,f1]) ).
fof(f137,plain,
! [X0] : truth = implies(X0,implies(X0,X0)),
inference(superposition,[],[f77,f9]) ).
fof(f146,plain,
! [X0] : truth = implies(implies(truth,X0),X0),
inference(superposition,[],[f1,f77]) ).
fof(f148,plain,
! [X0] : truth = implies(X0,X0),
inference(forward_demodulation,[],[f146,f1]) ).
fof(f180,plain,
! [X0] : truth = implies(X0,truth),
inference(forward_demodulation,[],[f137,f148]) ).
fof(f187,plain,
! [X0,X1] : truth = implies(truth,implies(implies(truth,X1),implies(X0,X1))),
inference(superposition,[],[f3,f180]) ).
fof(f209,plain,
! [X0,X1] : truth = implies(implies(truth,X1),implies(X0,X1)),
inference(forward_demodulation,[],[f187,f1]) ).
fof(f216,plain,
! [X0,X1] : truth = implies(X1,implies(X0,X1)),
inference(forward_demodulation,[],[f209,f1]) ).
fof(f234,plain,
! [X2,X0,X1] : truth = implies(truth,implies(implies(implies(X1,X0),X2),implies(X0,X2))),
inference(superposition,[],[f3,f216]) ).
fof(f247,plain,
! [X2,X0,X1] : truth = implies(implies(implies(X1,X0),X2),implies(X0,X2)),
inference(forward_demodulation,[],[f234,f1]) ).
fof(f518,plain,
! [X0,X1] : truth = implies(truth,implies(not(X1),implies(X1,X0))),
inference(superposition,[],[f247,f6]) ).
fof(f519,plain,
! [X0] : truth = implies(truth,implies(not(truth),X0)),
inference(superposition,[],[f247,f23]) ).
fof(f582,plain,
! [X0] : truth = implies(not(truth),X0),
inference(forward_demodulation,[],[f519,f1]) ).
fof(f583,plain,
! [X0,X1] : truth = implies(not(X1),implies(X1,X0)),
inference(forward_demodulation,[],[f518,f1]) ).
fof(f615,plain,
! [X0] : implies(truth,X0) = implies(implies(X0,not(truth)),not(truth)),
inference(superposition,[],[f4,f582]) ).
fof(f635,plain,
! [X0] : implies(implies(X0,not(truth)),not(truth)) = X0,
inference(forward_demodulation,[],[f615,f1]) ).
fof(f721,plain,
! [X0] : truth = implies(not(implies(X0,not(truth))),X0),
inference(superposition,[],[f583,f635]) ).
fof(f760,plain,
! [X0] : truth = implies(truth,implies(X0,implies(not(X0),not(truth)))),
inference(superposition,[],[f6,f721]) ).
fof(f789,plain,
! [X0] : truth = implies(X0,implies(not(X0),not(truth))),
inference(forward_demodulation,[],[f760,f1]) ).
fof(f807,plain,
! [X0] : implies(implies(implies(not(X0),not(truth)),X0),X0) = implies(truth,implies(not(X0),not(truth))),
inference(superposition,[],[f4,f789]) ).
fof(f828,plain,
! [X0] : implies(not(X0),not(truth)) = implies(implies(implies(not(X0),not(truth)),X0),X0),
inference(forward_demodulation,[],[f807,f1]) ).
fof(f833,plain,
! [X0] : implies(truth,X0) = implies(not(X0),not(truth)),
inference(forward_demodulation,[],[f828,f23]) ).
fof(f835,plain,
! [X0] : implies(not(X0),not(truth)) = X0,
inference(forward_demodulation,[],[f833,f1]) ).
fof(f844,plain,
! [X0] : not(X0) = implies(X0,not(truth)),
inference(superposition,[],[f635,f835]) ).
fof(f878,plain,
! [X0] : not(not(X0)) = X0,
inference(superposition,[],[f844,f835]) ).
fof(f887,plain,
! [X0,X1] : truth = implies(implies(X0,X1),implies(implies(X1,not(truth)),not(X0))),
inference(superposition,[],[f3,f844]) ).
fof(f931,plain,
! [X0,X1] : truth = implies(implies(X0,X1),implies(not(X1),not(X0))),
inference(forward_demodulation,[],[f887,f844]) ).
fof(f2804,plain,
! [X0,X1] : implies(implies(implies(not(X0),not(X1)),implies(X1,X0)),implies(X1,X0)) = implies(truth,implies(not(X0),not(X1))),
inference(superposition,[],[f4,f931]) ).
fof(f2841,plain,
! [X0,X1] : implies(not(X0),not(X1)) = implies(implies(implies(not(X0),not(X1)),implies(X1,X0)),implies(X1,X0)),
inference(forward_demodulation,[],[f2804,f1]) ).
fof(f2888,plain,
! [X0,X1] : implies(not(X0),not(X1)) = implies(truth,implies(X1,X0)),
inference(forward_demodulation,[],[f2841,f6]) ).
fof(f2903,plain,
! [X0,X1] : implies(X1,X0) = implies(not(X0),not(X1)),
inference(forward_demodulation,[],[f2888,f1]) ).
fof(f3034,plain,
! [X0,X1] : implies(X1,not(X0)) = implies(X0,not(X1)),
inference(superposition,[],[f2903,f878]) ).
fof(f3080,plain,
! [X0,X1] : truth = implies(not(X1),implies(implies(X0,X1),not(X0))),
inference(superposition,[],[f77,f2903]) ).
fof(f4766,plain,
! [X0,X1] : truth = implies(not(X1),implies(X0,not(implies(X0,X1)))),
inference(forward_demodulation,[],[f3080,f3034]) ).
fof(f5050,plain,
truth != truth,
inference(superposition,[],[f8,f4766]) ).
fof(f5097,plain,
$false,
inference(trivial_inequality_removal,[],[f5050]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL116-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.20/0.47 % Computer : n018.cluster.edu
% 0.20/0.47 % Model : x86_64 x86_64
% 0.20/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.47 % Memory : 8046.5625MB
% 0.20/0.47 % OS : Linux 6.8.0-71-generic
% 0.20/0.47 % CPULimit : 300
% 0.20/0.47 % WCLimit : 300
% 0.20/0.47 % DateTime : Sun Sep 27 15:25:08 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.48 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.51 Running first-order model finding
% 0.26/0.51 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
% 0.63/0.74 % (2504556)Will run a generic schedule for satisfiability detection.
% 0.63/0.74 % (2504565)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3795593030:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.63/0.74 % (2504562)% WARNING: option uhcvi not known.
% 0.63/0.74 % (2504562)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=666163397:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.63/0.74 % (2504566)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1045105710:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.63/0.74 % (2504563)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2587392408:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.63/0.74 % (2504564)dis+10_1_sil=32000:sp=arity:random_seed=2502172297:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.63/0.74 % (2504561)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1613709098_2999 on theBenchmark for (2999ds/0Mi)
% 0.63/0.74 % TRYING [1]
% 0.63/0.74 % TRYING [2]
% 0.63/0.74 % TRYING [3]
% 0.63/0.74 % TRYING [4]
% 0.63/0.74 % TRYING [5]
% 0.63/0.74 % (2504567)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1362026592:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.63/0.74 % (2504565)Instruction limit reached!
% 0.63/0.74 % (2504565)------------------------------
% 0.63/0.74 % (2504565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.74 % (2504565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.74 % (2504565)CaDiCaL version: 2.1.3
% 0.63/0.74 % (2504565)Termination reason: Instruction limit
% 0.63/0.74 % (2504565)Termination phase: Saturation
% 0.63/0.74 % (2504565)Time elapsed: 0.056 s
% 0.63/0.74 % (2504565)Peak memory usage: 12 MB
% 0.63/0.74 % (2504565)Instructions burned: 116 (million)
% 0.63/0.74 % (2504575)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=848902529:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.63/0.74 % TRYING [1]
% 0.63/0.74 % TRYING [2]
% 0.63/0.74 % TRYING [3]
% 0.63/0.74 % (2504564)Instruction limit reached!
% 0.63/0.74 % (2504564)------------------------------
% 0.63/0.74 % (2504564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.74 % (2504564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.74 % (2504564)CaDiCaL version: 2.1.3
% 0.63/0.74 % (2504564)Termination reason: Instruction limit
% 0.63/0.74 % (2504564)Termination phase: Saturation
% 0.63/0.74 % (2504564)Time elapsed: 0.093 s
% 0.63/0.74 % (2504564)Peak memory usage: 12 MB
% 0.63/0.74 % (2504564)Instructions burned: 103 (million)
% 0.63/0.74 % TRYING [4]
% 0.63/0.74 % TRYING [5]
% 0.63/0.74 % (2504566)Instruction limit reached!
% 0.63/0.74 % (2504566)------------------------------
% 0.63/0.74 % (2504566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.74 % (2504566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.74 % (2504566)CaDiCaL version: 2.1.3
% 0.63/0.74 % (2504566)Termination reason: Instruction limit
% 0.63/0.74 % (2504566)Termination phase: Saturation
% 0.63/0.74 % (2504566)Time elapsed: 0.120 s
% 0.63/0.74 % (2504566)Peak memory usage: 12 MB
% 0.63/0.74 % (2504566)Instructions burned: 131 (million)
% 0.63/0.74 % (2504577)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2208967136:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.63/0.74 % TRYING [6]
% 0.63/0.74 % (2504563) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2504556-2504563"...
% 0.63/0.74 % (2504563)...printing done.
% 0.63/0.74 % (2504563)Refutation found. Thanks to Tanya!
% 0.63/0.74 % SZS status Unsatisfiable for theBenchmark
% 0.63/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 0.63/0.74 % (2504563)------------------------------
% 0.63/0.74 % (2504563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.74 % (2504563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.74 % (2504563)CaDiCaL version: 2.1.3
% 0.63/0.74 % (2504563)Termination reason: Refutation
% 0.63/0.74 % (2504563)Time elapsed: 0.151 s
% 0.63/0.74 % (2504563)Peak memory usage: 13 MB
% 0.63/0.74 % (2504563)Instructions burned: 166 (million)
% 0.63/0.74 % (2504556)Success in time 0.212 s
% 0.63/0.74 % Vampire exiting
%------------------------------------------------------------------------------