TSTP Solution File: LCL156-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---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 : n027.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 : Thu Aug 31 08:22:07 EDT 2023
% Result : Unsatisfiable 0.20s 0.39s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of formulae : 47 ( 47 unt; 0 def)
% Number of atoms : 47 ( 46 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 44 (; 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f480,plain,
$false,
inference(subsumption_resolution,[],[f479,f19]) ).
fof(f19,plain,
x != sF0,
inference(definition_folding,[],[f17,f18]) ).
fof(f18,plain,
and_star(x,truth) = sF0,
introduced(function_definition,[]) ).
fof(f17,axiom,
x != and_star(x,truth),
file('/export/starexec/sandbox/tmp/tmp.rY2dqTFw8M/Vampire---4.8_3343',prove_alternative_wajsberg_axiom) ).
fof(f479,plain,
x = sF0,
inference(backward_demodulation,[],[f254,f471]) ).
fof(f471,plain,
! [X0] : not(not(X0)) = X0,
inference(forward_demodulation,[],[f470,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.rY2dqTFw8M/Vampire---4.8_3343',wajsberg_1) ).
fof(f470,plain,
! [X0] : implies(truth,X0) = not(not(X0)),
inference(forward_demodulation,[],[f469,f317]) ).
fof(f317,plain,
! [X1] : truth = or(X1,not(X1)),
inference(superposition,[],[f229,f5]) ).
fof(f5,axiom,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
file('/export/starexec/sandbox/tmp/tmp.rY2dqTFw8M/Vampire---4.8_3343',or_definition) ).
fof(f229,plain,
! [X0] : truth = implies(X0,X0),
inference(backward_demodulation,[],[f78,f227]) ).
fof(f227,plain,
! [X0] : or(falsehood,X0) = X0,
inference(forward_demodulation,[],[f220,f1]) ).
fof(f220,plain,
! [X0] : implies(truth,X0) = or(falsehood,X0),
inference(superposition,[],[f5,f208]) ).
fof(f208,plain,
truth = not(falsehood),
inference(forward_demodulation,[],[f205,f1]) ).
fof(f205,plain,
truth = implies(truth,not(falsehood)),
inference(superposition,[],[f78,f190]) ).
fof(f190,plain,
truth = or(falsehood,not(falsehood)),
inference(backward_demodulation,[],[f80,f189]) ).
fof(f189,plain,
! [X3] : or(X3,not(X3)) = implies(implies(falsehood,X3),truth),
inference(forward_demodulation,[],[f188,f5]) ).
fof(f188,plain,
! [X3] : implies(not(X3),not(X3)) = implies(implies(falsehood,X3),truth),
inference(forward_demodulation,[],[f170,f31]) ).
fof(f31,plain,
! [X1] : or(X1,truth) = implies(falsehood,X1),
inference(superposition,[],[f30,f7]) ).
fof(f7,axiom,
! [X0,X1] : or(X0,X1) = or(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.rY2dqTFw8M/Vampire---4.8_3343',or_commutativity) ).
fof(f30,plain,
! [X0] : or(truth,X0) = implies(falsehood,X0),
inference(superposition,[],[f5,f16]) ).
fof(f16,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox/tmp/tmp.rY2dqTFw8M/Vampire---4.8_3343',false_definition) ).
fof(f170,plain,
! [X3] : implies(not(X3),not(X3)) = implies(or(X3,truth),truth),
inference(superposition,[],[f151,f5]) ).
fof(f151,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/sandbox/tmp/tmp.rY2dqTFw8M/Vampire---4.8_3343',wajsberg_3) ).
fof(f80,plain,
truth = implies(implies(falsehood,falsehood),truth),
inference(superposition,[],[f76,f30]) ).
fof(f76,plain,
! [X0] : truth = implies(or(X0,falsehood),X0),
inference(forward_demodulation,[],[f66,f1]) ).
fof(f66,plain,
! [X0] : truth = implies(or(X0,falsehood),implies(truth,X0)),
inference(superposition,[],[f25,f16]) ).
fof(f25,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/sandbox/tmp/tmp.rY2dqTFw8M/Vampire---4.8_3343',wajsberg_4) ).
fof(f78,plain,
! [X0] : truth = implies(or(falsehood,X0),X0),
inference(superposition,[],[f76,f7]) ).
fof(f469,plain,
! [X0] : not(not(X0)) = implies(or(X0,not(X0)),X0),
inference(forward_demodulation,[],[f468,f7]) ).
fof(f468,plain,
! [X0] : not(not(X0)) = implies(or(not(X0),X0),X0),
inference(forward_demodulation,[],[f467,f5]) ).
fof(f467,plain,
! [X0] : not(not(X0)) = implies(implies(not(not(X0)),X0),X0),
inference(forward_demodulation,[],[f455,f1]) ).
fof(f455,plain,
! [X0] : implies(implies(not(not(X0)),X0),X0) = implies(truth,not(not(X0))),
inference(superposition,[],[f3,f371]) ).
fof(f371,plain,
! [X4] : truth = implies(X4,not(not(X4))),
inference(forward_demodulation,[],[f363,f1]) ).
fof(f363,plain,
! [X4] : truth = implies(truth,implies(X4,not(not(X4)))),
inference(superposition,[],[f70,f317]) ).
fof(f70,plain,
! [X0,X1] : truth = implies(or(not(X1),X0),implies(X1,X0)),
inference(superposition,[],[f25,f7]) ).
fof(f254,plain,
sF0 = not(not(x)),
inference(backward_demodulation,[],[f23,f231]) ).
fof(f231,plain,
! [X0] : and(truth,X0) = not(not(X0)),
inference(backward_demodulation,[],[f39,f227]) ).
fof(f39,plain,
! [X0] : and(truth,X0) = not(or(falsehood,not(X0))),
inference(superposition,[],[f8,f16]) ).
fof(f8,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/tmp/tmp.rY2dqTFw8M/Vampire---4.8_3343',and_definition) ).
fof(f23,plain,
sF0 = and(truth,x),
inference(backward_demodulation,[],[f20,f21]) ).
fof(f21,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/sandbox/tmp/tmp.rY2dqTFw8M/Vampire---4.8_3343',and_star_definition) ).
fof(f20,plain,
sF0 = and_star(truth,x),
inference(backward_demodulation,[],[f18,f15]) ).
fof(f15,axiom,
! [X0,X1] : and_star(X0,X1) = and_star(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.rY2dqTFw8M/Vampire---4.8_3343',and_star_commutativity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL156-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.34 % CPULimit : 300
% 0.20/0.34 % WCLimit : 300
% 0.20/0.34 % DateTime : Thu Aug 24 22:36:18 EDT 2023
% 0.20/0.34 % CPUTime :
% 0.20/0.34 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.20/0.34 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.rY2dqTFw8M/Vampire---4.8_3343
% 0.20/0.35 % (3606)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.38 % (3611)ott+10_20_av=off:drc=off:fde=none:sp=occurrence:tgt=ground_676 on Vampire---4 for (676ds/0Mi)
% 0.20/0.39 % (3611)First to succeed.
% 0.20/0.39 % (3611)Refutation found. Thanks to Tanya!
% 0.20/0.39 % SZS status Unsatisfiable for Vampire---4
% 0.20/0.39 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.39 % (3611)------------------------------
% 0.20/0.39 % (3611)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.39 % (3611)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.39 % (3611)Termination reason: Refutation
% 0.20/0.39
% 0.20/0.39 % (3611)Memory used [KB]: 1151
% 0.20/0.39 % (3611)Time elapsed: 0.011 s
% 0.20/0.39 % (3611)------------------------------
% 0.20/0.39 % (3611)------------------------------
% 0.20/0.39 % (3606)Success in time 0.046 s
% 0.20/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------