%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL112-2 : 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 : n001.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 11:57:41 AM UTC 2026
% Result : Unsatisfiable 0.24s 0.62s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 38 unt; 0 def)
% Number of atoms : 38 ( 37 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 52 ( 52 !; 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(not(x))) != truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_mv_29) ).
fof(f8,plain,
truth != implies(x,not(not(x))),
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(f759,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,[],[f759,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(f957,plain,
truth != implies(x,x),
inference(superposition,[],[f8,f878]) ).
fof(f971,plain,
$false,
inference(forward_subsumption_resolution,[],[f957,f148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL112-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.19/0.46 % Computer : n001.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Sun Sep 27 15:28:16 UTC 2026
% 0.19/0.47 % CPUTime :
% 0.19/0.47 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.52 Running first-order model finding
% 0.24/0.52 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
% 0.24/0.62 % (3707314)Will run a generic schedule for satisfiability detection.
% 0.24/0.62 % (3707324)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1736590757:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.24/0.62 % (3707319)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2734967812_2999 on theBenchmark for (2999ds/0Mi)
% 0.24/0.62 % (3707323)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=889074725:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.24/0.62 % (3707321)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=688261756:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.24/0.62 % (3707322)dis+10_1_sil=32000:sp=arity:random_seed=1458623591:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.24/0.62 % TRYING [1]
% 0.24/0.62 % (3707325)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=921294503:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.24/0.62 % TRYING [2]
% 0.24/0.62 % TRYING [3]
% 0.24/0.62 % TRYING [4]
% 0.24/0.62 % TRYING [5]
% 0.24/0.62 % (3707320)% WARNING: option uhcvi not known.
% 0.24/0.62 % (3707320)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4273776913:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.24/0.62 % (3707321) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3707314-3707321"...
% 0.24/0.62 % (3707321)...printing done.
% 0.24/0.62 % (3707321)Refutation found. Thanks to Tanya!
% 0.24/0.62 % SZS status Unsatisfiable for theBenchmark
% 0.24/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.62 % (3707321)------------------------------
% 0.24/0.62 % (3707321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.62 % (3707321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.62 % (3707321)CaDiCaL version: 2.1.3
% 0.24/0.62 % (3707321)Termination reason: Refutation
% 0.24/0.62 % (3707321)Time elapsed: 0.034 s
% 0.24/0.62 % (3707321)Peak memory usage: 11 MB
% 0.24/0.62 % (3707321)Instructions burned: 35 (million)
% 0.24/0.62 % (3707314)Success in time 0.085 s
% 0.24/0.62 % Vampire exiting
%------------------------------------------------------------------------------