TSTP Solution File: KLE025+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE025+2 : TPTP v8.1.2. Released v4.0.0.
% 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 : n020.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 05:36:25 EDT 2023
% Result : Theorem 0.23s 0.45s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 46 ( 27 unt; 0 def)
% Number of atoms : 106 ( 65 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 86 ( 26 ~; 17 |; 29 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 56 (; 47 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f562,plain,
$false,
inference(subsumption_resolution,[],[f555,f75]) ).
fof(f75,plain,
sF4 != sF5,
inference(definition_folding,[],[f49,f74,f73,f73]) ).
fof(f73,plain,
multiplication(sK1,sK0) = sF4,
introduced(function_definition,[]) ).
fof(f74,plain,
multiplication(sF4,sK2) = sF5,
introduced(function_definition,[]) ).
fof(f49,plain,
multiplication(sK1,sK0) != multiplication(multiplication(sK1,sK0),sK2),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( multiplication(sK1,sK0) != multiplication(multiplication(sK1,sK0),sK2)
& zero = multiplication(multiplication(sK1,sK0),c(sK2))
& test(sK2)
& test(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f30,f37]) ).
fof(f37,plain,
( ? [X0,X1,X2] :
( multiplication(X1,X0) != multiplication(multiplication(X1,X0),X2)
& zero = multiplication(multiplication(X1,X0),c(X2))
& test(X2)
& test(X1) )
=> ( multiplication(sK1,sK0) != multiplication(multiplication(sK1,sK0),sK2)
& zero = multiplication(multiplication(sK1,sK0),c(sK2))
& test(sK2)
& test(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
? [X0,X1,X2] :
( multiplication(X1,X0) != multiplication(multiplication(X1,X0),X2)
& zero = multiplication(multiplication(X1,X0),c(X2))
& test(X2)
& test(X1) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
? [X0,X1,X2] :
( multiplication(X1,X0) != multiplication(multiplication(X1,X0),X2)
& zero = multiplication(multiplication(X1,X0),c(X2))
& test(X2)
& test(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X0,X1,X2] :
( ( test(X2)
& test(X1) )
=> ( zero = multiplication(multiplication(X1,X0),c(X2))
=> multiplication(X1,X0) = multiplication(multiplication(X1,X0),X2) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X3,X4,X5] :
( ( test(X5)
& test(X4) )
=> ( zero = multiplication(multiplication(X4,X3),c(X5))
=> multiplication(X4,X3) = multiplication(multiplication(X4,X3),X5) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X3,X4,X5] :
( ( test(X5)
& test(X4) )
=> ( zero = multiplication(multiplication(X4,X3),c(X5))
=> multiplication(X4,X3) = multiplication(multiplication(X4,X3),X5) ) ),
file('/export/starexec/sandbox2/tmp/tmp.3d8Ca14Svo/Vampire---4.8_2801',goals) ).
fof(f555,plain,
sF4 = sF5,
inference(backward_demodulation,[],[f74,f549]) ).
fof(f549,plain,
sF4 = multiplication(sF4,sK2),
inference(forward_demodulation,[],[f539,f53]) ).
fof(f53,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/tmp/tmp.3d8Ca14Svo/Vampire---4.8_2801',multiplicative_right_identity) ).
fof(f539,plain,
multiplication(sF4,sK2) = multiplication(sF4,one),
inference(superposition,[],[f236,f98]) ).
fof(f98,plain,
one = addition(sF6,sK2),
inference(resolution,[],[f66,f81]) ).
fof(f81,plain,
complement(sK2,sF6),
inference(subsumption_resolution,[],[f80,f47]) ).
fof(f47,plain,
test(sK2),
inference(cnf_transformation,[],[f38]) ).
fof(f80,plain,
( complement(sK2,sF6)
| ~ test(sK2) ),
inference(superposition,[],[f72,f76]) ).
fof(f76,plain,
c(sK2) = sF6,
introduced(function_definition,[]) ).
fof(f72,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3,X4] :
( test(X3)
=> ( c(X3) = X4
<=> complement(X3,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.3d8Ca14Svo/Vampire---4.8_2801',test_3) ).
fof(f66,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ( complement(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1) )
& ( ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) )
| ~ complement(X1,X0) ) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ( complement(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1) )
& ( ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) )
| ~ complement(X1,X0) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( complement(X1,X0)
<=> ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4] :
( complement(X4,X3)
<=> ( one = addition(X3,X4)
& zero = multiplication(X4,X3)
& zero = multiplication(X3,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.3d8Ca14Svo/Vampire---4.8_2801',test_2) ).
fof(f236,plain,
! [X20] : multiplication(sF4,addition(sF6,X20)) = multiplication(sF4,X20),
inference(forward_demodulation,[],[f198,f82]) ).
fof(f82,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f59,f52]) ).
fof(f52,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/tmp/tmp.3d8Ca14Svo/Vampire---4.8_2801',additive_identity) ).
fof(f59,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.3d8Ca14Svo/Vampire---4.8_2801',additive_commutativity) ).
fof(f198,plain,
! [X20] : multiplication(sF4,addition(sF6,X20)) = addition(zero,multiplication(sF4,X20)),
inference(superposition,[],[f70,f79]) ).
fof(f79,plain,
zero = multiplication(sF4,sF6),
inference(forward_demodulation,[],[f77,f78]) ).
fof(f78,plain,
zero = sF7,
inference(definition_folding,[],[f48,f77,f76,f73]) ).
fof(f48,plain,
zero = multiplication(multiplication(sK1,sK0),c(sK2)),
inference(cnf_transformation,[],[f38]) ).
fof(f77,plain,
multiplication(sF4,sF6) = sF7,
introduced(function_definition,[]) ).
fof(f70,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/tmp/tmp.3d8Ca14Svo/Vampire---4.8_2801',right_distributivity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : KLE025+2 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37 % Computer : n020.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Aug 29 11:23:29 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.3d8Ca14Svo/Vampire---4.8_2801
% 0.15/0.38 % (3002)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (3005)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.23/0.44 % (3008)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.23/0.44 % (3009)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.23/0.44 % (3006)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.23/0.44 % (3010)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.23/0.44 % (3011)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.23/0.44 % (3007)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.23/0.45 % (3010)First to succeed.
% 0.23/0.45 % (3010)Refutation found. Thanks to Tanya!
% 0.23/0.45 % SZS status Theorem for Vampire---4
% 0.23/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.46 % (3010)------------------------------
% 0.23/0.46 % (3010)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.46 % (3010)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.46 % (3010)Termination reason: Refutation
% 0.23/0.46
% 0.23/0.46 % (3010)Memory used [KB]: 5756
% 0.23/0.46 % (3010)Time elapsed: 0.017 s
% 0.23/0.46 % (3010)------------------------------
% 0.23/0.46 % (3010)------------------------------
% 0.23/0.46 % (3002)Success in time 0.076 s
% 0.23/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------