TSTP Solution File: KLE006+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE006+1 : 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 : n024.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 05:36:14 EDT 2023
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 14 unt; 0 def)
% Number of atoms : 73 ( 42 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 67 ( 25 ~; 16 |; 15 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 30 (; 28 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f77,plain,
$false,
inference(trivial_inequality_removal,[],[f75]) ).
fof(f75,plain,
one != one,
inference(backward_demodulation,[],[f62,f74]) ).
fof(f74,plain,
one = sF3,
inference(forward_demodulation,[],[f73,f61]) ).
fof(f61,plain,
addition(sK0,sF2) = sF3,
introduced(function_definition,[]) ).
fof(f73,plain,
one = addition(sK0,sF2),
inference(forward_demodulation,[],[f70,f48]) ).
fof(f48,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.g0lSneKTkp/Vampire---4.8_6020',additive_commutativity) ).
fof(f70,plain,
one = addition(sF2,sK0),
inference(resolution,[],[f66,f53]) ).
fof(f53,plain,
! [X0,X1] :
( addition(X0,X1) = one
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,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,[],[f35]) ).
fof(f35,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,[],[f23]) ).
fof(f23,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.g0lSneKTkp/Vampire---4.8_6020',test_2) ).
fof(f66,plain,
complement(sK0,sF2),
inference(forward_demodulation,[],[f63,f60]) ).
fof(f60,plain,
c(sK0) = sF2,
introduced(function_definition,[]) ).
fof(f63,plain,
complement(sK0,c(sK0)),
inference(resolution,[],[f37,f59]) ).
fof(f59,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,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.g0lSneKTkp/Vampire---4.8_6020',test_3) ).
fof(f37,plain,
test(sK0),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( one != addition(sK0,c(sK0))
& test(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f25,f28]) ).
fof(f28,plain,
( ? [X0] :
( one != addition(X0,c(X0))
& test(X0) )
=> ( one != addition(sK0,c(sK0))
& test(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0] :
( one != addition(X0,c(X0))
& test(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X0] :
( test(X0)
=> one = addition(X0,c(X0)) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X3] :
( test(X3)
=> one = addition(X3,c(X3)) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X3] :
( test(X3)
=> one = addition(X3,c(X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.g0lSneKTkp/Vampire---4.8_6020',goals) ).
fof(f62,plain,
one != sF3,
inference(definition_folding,[],[f38,f61,f60]) ).
fof(f38,plain,
one != addition(sK0,c(sK0)),
inference(cnf_transformation,[],[f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KLE006+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 11:31:53 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.22/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.g0lSneKTkp/Vampire---4.8_6020
% 0.22/0.36 % (6128)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (6129)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_1169 on Vampire---4 for (1169ds/0Mi)
% 0.22/0.42 % (6130)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.22/0.42 % (6132)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.22/0.42 % (6134)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.22/0.42 % (6133)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.22/0.42 % (6131)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.22/0.43 % (6135)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_501 on Vampire---4 for (501ds/0Mi)
% 0.22/0.43 % (6133)First to succeed.
% 0.22/0.43 % (6131)Also succeeded, but the first one will report.
% 0.22/0.43 % (6133)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for Vampire---4
% 0.22/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43 % (6133)------------------------------
% 0.22/0.43 % (6133)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (6133)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (6133)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (6133)Memory used [KB]: 895
% 0.22/0.43 % (6133)Time elapsed: 0.004 s
% 0.22/0.43 % (6133)------------------------------
% 0.22/0.43 % (6133)------------------------------
% 0.22/0.43 % (6128)Success in time 0.064 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------