%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL133-1 : 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 : n006.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 4.19s 1.72s
% Output : Refutation 4.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 27 unt; 1 def)
% Number of atoms : 33 ( 23 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 2 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f4,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_3) ).
fof(f5,axiom,
! [X0,X1] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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,
! [X0,X1] : implies(X0,X1) = implies(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_antecedent) ).
fof(f8,negated_conjecture,
x != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wajsberg_lemma) ).
fof(f10,definition,
( spl0_1
<=> x = y ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f12,plain,
( x != y
| spl0_1 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f13,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f8,f10]) ).
fof(f17,plain,
! [X0] : implies(X0,truth) = X0,
inference(superposition,[],[f1,f7]) ).
fof(f44,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(X0,implies(X1,X0)),
inference(superposition,[],[f7,f4]) ).
fof(f45,plain,
! [X0] : implies(X0,truth) = implies(implies(truth,X0),X0),
inference(superposition,[],[f17,f4]) ).
fof(f46,plain,
! [X0] : implies(X0,truth) = implies(X0,X0),
inference(forward_demodulation,[],[f45,f1]) ).
fof(f63,plain,
! [X0] : implies(X0,X0) = X0,
inference(forward_demodulation,[],[f46,f17]) ).
fof(f75,plain,
! [X0] : truth = implies(implies(not(X0),not(X0)),X0),
inference(superposition,[],[f6,f63]) ).
fof(f82,plain,
! [X0] : truth = implies(not(X0),X0),
inference(forward_demodulation,[],[f75,f63]) ).
fof(f90,plain,
! [X0] : truth = implies(X0,not(X0)),
inference(superposition,[],[f7,f82]) ).
fof(f116,plain,
! [X0] : implies(truth,X0) = implies(not(X0),implies(X0,not(X0))),
inference(superposition,[],[f44,f82]) ).
fof(f126,plain,
! [X0] : implies(truth,X0) = implies(not(X0),truth),
inference(forward_demodulation,[],[f116,f90]) ).
fof(f135,plain,
! [X0] : implies(truth,X0) = not(X0),
inference(forward_demodulation,[],[f126,f17]) ).
fof(f140,plain,
! [X0] : not(X0) = X0,
inference(forward_demodulation,[],[f135,f1]) ).
fof(f148,plain,
! [X0] : truth = implies(X0,X0),
inference(backward_demodulation,[],[f90,f140]) ).
fof(f152,plain,
! [X0] : truth = X0,
inference(forward_demodulation,[],[f148,f63]) ).
fof(f190,plain,
! [X0,X1] : X0 = X1,
inference(superposition,[],[f152,f152]) ).
fof(f215,plain,
( $false
| spl0_1 ),
inference(backward_subsumption_resolution,[],[f12,f190]) ).
fof(f216,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f215]) ).
cnf(s1,plain,
~ spl0_1,
inference(sat_conversion,[],[f13]) ).
cnf(s4,plain,
spl0_1,
inference(sat_conversion,[],[f216]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4]) ).
fof(f217,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL133-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n006.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 27 15:22:40 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 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
% 4.19/1.72 % (3091723)Detected a unit-equality problem, will run specialized UEQ schedule.
% 4.19/1.72 % (3091733)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4037299487:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 4.19/1.72 % (3091733)First to succeed.
% 4.19/1.72 % (3091733)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3091723"
% 4.19/1.72 % (3091730)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3444116082:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 4.19/1.72 % (3091728)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=4007487268:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 4.19/1.72 % (3091734)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1860243162:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 4.19/1.72 % (3091731)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1901261259:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 4.19/1.72 % (3091729)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=3322428513:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 4.19/1.72 % (3091732)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1394912292:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 4.19/1.72 % (3091734)Also succeeded, but the first one will report.
% 4.19/1.72 % (3091732)Also succeeded, but the first one will report.
% 4.19/1.72 % (3091731)Refutation not found, incomplete strategy
% 4.19/1.72 % (3091731)------------------------------
% 4.19/1.72 % (3091731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.19/1.72 % (3091731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/1.72 % (3091731)CaDiCaL version: 2.1.3
% 4.19/1.72 % (3091731)Termination reason: Refutation not found, incomplete strategy
% 4.19/1.72 % (3091731)Time elapsed: 0.013 s
% 4.19/1.72 % (3091731)Peak memory usage: 87 MB
% 4.19/1.72 % (3091731)Instructions burned: 11 (million)
% 4.19/1.72 % (3091733)Refutation found. Thanks to Tanya!
% 4.19/1.72 % SZS status Unsatisfiable for theBenchmark
% 4.19/1.72 % SZS output start Proof for theBenchmark
% See solution above
% 4.19/1.72 % (3091733)------------------------------
% 4.19/1.72 % (3091733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.19/1.72 % (3091733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/1.72 % (3091733)CaDiCaL version: 2.1.3
% 4.19/1.72 % (3091733)Termination reason: Refutation
% 4.19/1.72 % (3091733)Time elapsed: 0.004 s
% 4.19/1.72 % (3091733)Peak memory usage: 89 MB
% 4.19/1.72 % (3091733)Instructions burned: 7 (million)
% 4.19/1.72 % (3091733)------------------------------
% 4.19/1.72 % (3091733)------------------------------
% 4.19/1.72 % (3091723)Success in time 0.476 s
% 4.19/1.72 % Vampire exiting
%------------------------------------------------------------------------------