TSTP Solution File: LCL156-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL156-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 17:19:07 EDT 2023
% Result : Unsatisfiable 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of formulae : 44 ( 44 unt; 0 def)
% Number of atoms : 44 ( 43 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 43 (; 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1298,plain,
$false,
inference(trivial_inequality_removal,[],[f1270]) ).
fof(f1270,plain,
x != x,
inference(superposition,[],[f681,f1246]) ).
fof(f1246,plain,
! [X1] : not(not(X1)) = X1,
inference(forward_demodulation,[],[f1245,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.PUVFdRWiCp/Vampire---4.8_10723',wajsberg_1) ).
fof(f1245,plain,
! [X1] : not(not(X1)) = implies(truth,X1),
inference(forward_demodulation,[],[f1244,f501]) ).
fof(f501,plain,
! [X2] : truth = or(X2,not(X2)),
inference(superposition,[],[f448,f5]) ).
fof(f5,axiom,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
file('/export/starexec/sandbox2/tmp/tmp.PUVFdRWiCp/Vampire---4.8_10723',or_definition) ).
fof(f448,plain,
! [X1] : truth = implies(X1,X1),
inference(superposition,[],[f93,f412]) ).
fof(f412,plain,
! [X0] : or(falsehood,X0) = X0,
inference(forward_demodulation,[],[f400,f1]) ).
fof(f400,plain,
! [X0] : implies(truth,X0) = or(falsehood,X0),
inference(superposition,[],[f5,f377]) ).
fof(f377,plain,
truth = not(falsehood),
inference(superposition,[],[f360,f1]) ).
fof(f360,plain,
truth = implies(truth,not(falsehood)),
inference(superposition,[],[f93,f327]) ).
fof(f327,plain,
truth = or(falsehood,not(falsehood)),
inference(superposition,[],[f310,f95]) ).
fof(f95,plain,
truth = implies(implies(falsehood,falsehood),truth),
inference(superposition,[],[f91,f41]) ).
fof(f41,plain,
! [X0] : or(truth,X0) = implies(falsehood,X0),
inference(superposition,[],[f5,f16]) ).
fof(f16,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox2/tmp/tmp.PUVFdRWiCp/Vampire---4.8_10723',false_definition) ).
fof(f91,plain,
! [X0] : truth = implies(or(X0,falsehood),X0),
inference(forward_demodulation,[],[f80,f1]) ).
fof(f80,plain,
! [X0] : truth = implies(or(X0,falsehood),implies(truth,X0)),
inference(superposition,[],[f19,f16]) ).
fof(f19,plain,
! [X0,X1] : truth = implies(or(X0,not(X1)),implies(X1,X0)),
inference(forward_demodulation,[],[f4,f5]) ).
fof(f4,axiom,
! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
file('/export/starexec/sandbox2/tmp/tmp.PUVFdRWiCp/Vampire---4.8_10723',wajsberg_4) ).
fof(f310,plain,
! [X1] : or(X1,not(X1)) = implies(implies(falsehood,X1),truth),
inference(forward_demodulation,[],[f309,f42]) ).
fof(f42,plain,
! [X1] : or(X1,truth) = implies(falsehood,X1),
inference(superposition,[],[f41,f7]) ).
fof(f7,axiom,
! [X0,X1] : or(X0,X1) = or(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.PUVFdRWiCp/Vampire---4.8_10723',or_commutativity) ).
fof(f309,plain,
! [X1] : or(X1,not(X1)) = implies(or(X1,truth),truth),
inference(forward_demodulation,[],[f291,f5]) ).
fof(f291,plain,
! [X1] : or(X1,not(X1)) = implies(implies(not(X1),truth),truth),
inference(superposition,[],[f266,f5]) ).
fof(f266,plain,
! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
inference(superposition,[],[f3,f1]) ).
fof(f3,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.PUVFdRWiCp/Vampire---4.8_10723',wajsberg_3) ).
fof(f93,plain,
! [X0] : truth = implies(or(falsehood,X0),X0),
inference(superposition,[],[f91,f7]) ).
fof(f1244,plain,
! [X1] : not(not(X1)) = implies(or(X1,not(X1)),X1),
inference(forward_demodulation,[],[f1243,f7]) ).
fof(f1243,plain,
! [X1] : not(not(X1)) = implies(or(not(X1),X1),X1),
inference(forward_demodulation,[],[f1242,f5]) ).
fof(f1242,plain,
! [X1] : not(not(X1)) = implies(implies(not(not(X1)),X1),X1),
inference(forward_demodulation,[],[f1220,f1]) ).
fof(f1220,plain,
! [X1] : implies(implies(not(not(X1)),X1),X1) = implies(truth,not(not(X1))),
inference(superposition,[],[f3,f1179]) ).
fof(f1179,plain,
! [X1] : truth = implies(X1,not(not(X1))),
inference(superposition,[],[f579,f1]) ).
fof(f579,plain,
! [X6] : truth = implies(truth,implies(X6,not(not(X6)))),
inference(superposition,[],[f85,f501]) ).
fof(f85,plain,
! [X0,X1] : truth = implies(or(not(X1),X0),implies(X1,X0)),
inference(superposition,[],[f19,f7]) ).
fof(f681,plain,
x != not(not(x)),
inference(superposition,[],[f27,f449]) ).
fof(f449,plain,
! [X2] : and(X2,truth) = not(not(X2)),
inference(superposition,[],[f57,f412]) ).
fof(f57,plain,
! [X0] : not(or(falsehood,not(X0))) = and(X0,truth),
inference(forward_demodulation,[],[f52,f7]) ).
fof(f52,plain,
! [X0] : and(X0,truth) = not(or(not(X0),falsehood)),
inference(superposition,[],[f8,f16]) ).
fof(f8,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox2/tmp/tmp.PUVFdRWiCp/Vampire---4.8_10723',and_definition) ).
fof(f27,plain,
x != and(x,truth),
inference(superposition,[],[f17,f18]) ).
fof(f18,plain,
! [X0,X1] : and(X0,X1) = and_star(X0,X1),
inference(forward_demodulation,[],[f13,f8]) ).
fof(f13,axiom,
! [X0,X1] : not(or(not(X0),not(X1))) = and_star(X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.PUVFdRWiCp/Vampire---4.8_10723',and_star_definition) ).
fof(f17,axiom,
x != and_star(x,truth),
file('/export/starexec/sandbox2/tmp/tmp.PUVFdRWiCp/Vampire---4.8_10723',prove_alternative_wajsberg_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : LCL156-1 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.12 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Wed Aug 30 14:52:32 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.14/0.34 % (10851)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.34 % (10852)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.14/0.34 % (10853)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.14/0.34 % (10856)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.14/0.34 % (10857)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.14/0.34 % (10855)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.14/0.34 % (10858)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.14/0.34 % (10854)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.14/0.35 TRYING [1]
% 0.14/0.35 TRYING [2]
% 0.14/0.35 TRYING [1]
% 0.14/0.35 TRYING [2]
% 0.14/0.35 TRYING [3]
% 0.14/0.36 TRYING [3]
% 0.14/0.37 TRYING [4]
% 0.14/0.37 % (10858)First to succeed.
% 0.14/0.37 % (10858)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Unsatisfiable for Vampire---4
% 0.14/0.37 % SZS output start Proof for Vampire---4
% See solution above
% 0.14/0.37 % (10858)------------------------------
% 0.14/0.37 % (10858)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.14/0.37 % (10858)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.14/0.37 % (10858)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (10858)Memory used [KB]: 1791
% 0.14/0.37 % (10858)Time elapsed: 0.027 s
% 0.14/0.37 % (10858)------------------------------
% 0.14/0.37 % (10858)------------------------------
% 0.14/0.37 % (10851)Success in time 0.063 s
% 0.14/0.37 10854 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.PUVFdRWiCp/Vampire---4.8_10723
% 0.14/0.37 % (10854)------------------------------
% 0.14/0.37 % (10854)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.14/0.37 % (10854)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.14/0.37 % (10854)Termination reason: Unknown
% 0.14/0.37 % (10854)Termination phase: Saturation
% 0.14/0.37
% 0.14/0.37 % (10854)Memory used [KB]: 5245
% 0.14/0.37 % (10854)Time elapsed: 0.030 s
% 0.14/0.37 % (10854)------------------------------
% 0.14/0.37 % (10854)------------------------------
% 0.14/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------