%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL132-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 11:51:18 AM UTC 2026
% Result : Unsatisfiable 3.34s 1.34s
% Output : Refutation 3.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 13 unt; 1 def)
% Number of atoms : 13 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',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(f7,negated_conjecture,
implies(x,x) != truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wajsberg_lemma) ).
fof(f8,plain,
truth != implies(x,x),
inference(reorient_equations,[],[f7]) ).
fof(f9,definition,
~ sP0(implies(x,x)),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f10,plain,
sP0(truth),
inference(inequality_splitting,[],[f8,f9]) ).
fof(f65,plain,
! [X0,X1] : truth = implies(implies(truth,X1),implies(implies(X1,X0),X0)),
inference(superposition,[],[f3,f1]) ).
fof(f81,plain,
! [X0,X1] : truth = implies(X1,implies(implies(X1,X0),X0)),
inference(forward_demodulation,[],[f65,f1]) ).
fof(f125,plain,
! [X0] : truth = implies(implies(truth,X0),X0),
inference(superposition,[],[f1,f81]) ).
fof(f128,plain,
! [X0] : truth = implies(X0,X0),
inference(forward_demodulation,[],[f125,f1]) ).
fof(f148,plain,
~ sP0(truth),
inference(backward_demodulation,[],[f9,f128]) ).
fof(f149,plain,
$false,
inference(forward_subsumption_resolution,[],[f148,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL132-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.38 % Computer : n010.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8046.5625MB
% 0.14/0.38 % OS : Linux 6.8.0-71-generic
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Sun Sep 27 15:23:17 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.34/1.34 % (1087623)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.34/1.34 % (1087692)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3400254180:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 3.34/1.34 % (1087691)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2922099864:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 3.34/1.34 % (1087693)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1659768229:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 3.34/1.34 % (1087693)First to succeed.
% 3.34/1.34 % (1087693)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1087623"
% 3.34/1.34 % (1087690)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=505574013:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 3.34/1.34 % (1087696)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3129099649:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 3.34/1.34 % (1087694)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=821619732:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 3.34/1.34 % (1087695)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3793154493:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 3.34/1.34 % (1087696)Also succeeded, but the first one will report.
% 3.34/1.34 % (1087694)Also succeeded, but the first one will report.
% 3.34/1.34 % (1087695)Also succeeded, but the first one will report.
% 3.34/1.34 % (1087693)Refutation found. Thanks to Tanya!
% 3.34/1.34 % SZS status Unsatisfiable for theBenchmark
% 3.34/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 3.34/1.34 % (1087693)------------------------------
% 3.34/1.34 % (1087693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.34/1.34 % (1087693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.34/1.34 % (1087693)CaDiCaL version: 2.1.3
% 3.34/1.34 % (1087693)Termination reason: Refutation
% 3.34/1.34 % (1087693)Time elapsed: 0.007 s
% 3.34/1.34 % (1087693)Peak memory usage: 88 MB
% 3.34/1.34 % (1087693)Instructions burned: 8 (million)
% 3.34/1.34 % (1087693)------------------------------
% 3.34/1.34 % (1087693)------------------------------
% 3.34/1.34 % (1087623)Success in time 0.393 s
% 3.34/1.34 % Vampire exiting
%------------------------------------------------------------------------------