TSTP Solution File: KLE006+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---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 : n026.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 17:08:49 EDT 2023
% Result : Theorem 0.17s 0.41s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 68 ( 39 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 63 ( 22 ~; 15 |; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 31 (; 29 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f173,plain,
$false,
inference(subsumption_resolution,[],[f167,f39]) ).
fof(f39,plain,
one != addition(sK0,c(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.QE7jWWkHYH/Vampire---4.8_3853',goals) ).
fof(f167,plain,
one = addition(sK0,c(sK0)),
inference(superposition,[],[f145,f49]) ).
fof(f49,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.QE7jWWkHYH/Vampire---4.8_3853',additive_commutativity) ).
fof(f145,plain,
one = addition(c(sK0),sK0),
inference(unit_resulting_resolution,[],[f140,f56]) ).
fof(f56,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,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,[],[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(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.QE7jWWkHYH/Vampire---4.8_3853',test_2) ).
fof(f140,plain,
complement(sK0,c(sK0)),
inference(forward_demodulation,[],[f137,f44]) ).
fof(f44,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.QE7jWWkHYH/Vampire---4.8_3853',multiplicative_left_identity) ).
fof(f137,plain,
complement(sK0,multiplication(one,c(sK0))),
inference(unit_resulting_resolution,[],[f38,f44,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ test(X0)
| c(X0) != X1
| complement(X0,X1) ),
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.QE7jWWkHYH/Vampire---4.8_3853',test_3) ).
fof(f38,plain,
test(sK0),
inference(cnf_transformation,[],[f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KLE006+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 30 18:02:51 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.17/0.40 % (3986)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.40 % (3987)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.17/0.40 % (3992)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)
% 0.17/0.40 % (3988)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.17/0.40 % (3990)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.17/0.40 % (3991)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)
% 0.17/0.41 % (3993)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)
% 0.17/0.41 % (3989)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)
% 0.17/0.41 TRYING [1]
% 0.17/0.41 TRYING [2]
% 0.17/0.41 TRYING [1]
% 0.17/0.41 TRYING [3]
% 0.17/0.41 % (3993)First to succeed.
% 0.17/0.41 TRYING [2]
% 0.17/0.41 % (3992)Also succeeded, but the first one will report.
% 0.17/0.41 % (3993)Refutation found. Thanks to Tanya!
% 0.17/0.41 % SZS status Theorem for Vampire---4
% 0.17/0.41 % SZS output start Proof for Vampire---4
% See solution above
% 0.17/0.41 % (3993)------------------------------
% 0.17/0.41 % (3993)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.41 % (3993)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.41 % (3993)Termination reason: Refutation
% 0.17/0.41
% 0.17/0.41 % (3993)Memory used [KB]: 895
% 0.17/0.41 % (3993)Time elapsed: 0.007 s
% 0.17/0.41 % (3993)------------------------------
% 0.17/0.41 % (3993)------------------------------
% 0.17/0.41 % (3986)Success in time 0.065 s
% 0.17/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------