TSTP Solution File: KLE007+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KLE007+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n010.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 : Wed Aug 31 17:27:32 EDT 2022
% Result : Theorem 1.56s 0.57s
% Output : Refutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 13 unt; 0 def)
% Number of atoms : 94 ( 51 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 93 ( 33 ~; 22 |; 27 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 43 ( 37 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f108,plain,
$false,
inference(subsumption_resolution,[],[f102,f107]) ).
fof(f107,plain,
one != addition(sK0,c(sK0)),
inference(forward_demodulation,[],[f106,f58]) ).
fof(f58,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f106,plain,
one != addition(multiplication(one,sK0),c(sK0)),
inference(forward_demodulation,[],[f105,f58]) ).
fof(f105,plain,
one != addition(multiplication(one,sK0),multiplication(one,c(sK0))),
inference(backward_demodulation,[],[f53,f101]) ).
fof(f101,plain,
one = addition(sK1,c(sK1)),
inference(resolution,[],[f85,f54]) ).
fof(f54,plain,
test(sK1),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( test(sK0)
& test(sK1)
& one != addition(multiplication(addition(sK1,c(sK1)),sK0),multiplication(addition(sK1,c(sK1)),c(sK0))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f36,f40]) ).
fof(f40,plain,
( ? [X0,X1] :
( test(X0)
& test(X1)
& one != addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X1,c(X1)),c(X0))) )
=> ( test(sK0)
& test(sK1)
& one != addition(multiplication(addition(sK1,c(sK1)),sK0),multiplication(addition(sK1,c(sK1)),c(sK0))) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
? [X0,X1] :
( test(X0)
& test(X1)
& one != addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X1,c(X1)),c(X0))) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
? [X0,X1] :
( one != addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X1,c(X1)),c(X0)))
& test(X1)
& test(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X0,X1] :
( ( test(X1)
& test(X0) )
=> one = addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X1,c(X1)),c(X0))) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X4,X3] :
( ( test(X4)
& test(X3) )
=> one = addition(multiplication(addition(X3,c(X3)),X4),multiplication(addition(X3,c(X3)),c(X4))) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X4,X3] :
( ( test(X4)
& test(X3) )
=> one = addition(multiplication(addition(X3,c(X3)),X4),multiplication(addition(X3,c(X3)),c(X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f85,plain,
! [X1] :
( ~ test(X1)
| one = addition(X1,c(X1)) ),
inference(forward_demodulation,[],[f84,f69]) ).
fof(f69,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/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f84,plain,
! [X1] :
( ~ test(X1)
| one = addition(c(X1),X1) ),
inference(resolution,[],[f74,f78]) ).
fof(f78,plain,
! [X1] :
( complement(X1,c(X1))
| ~ test(X1) ),
inference(equality_resolution,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ~ test(X1)
| complement(X1,X0)
| c(X1) != X0 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ test(X1)
| ( ( c(X1) = X0
| ~ complement(X1,X0) )
& ( complement(X1,X0)
| c(X1) != X0 ) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ~ test(X1)
| ( c(X1) = X0
<=> complement(X1,X0) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( test(X1)
=> ( c(X1) = X0
<=> complement(X1,X0) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X4,X3] :
( test(X3)
=> ( c(X3) = X4
<=> complement(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_3) ).
fof(f74,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| addition(X0,X1) != one )
& ( ( zero = multiplication(X1,X0)
& zero = multiplication(X0,X1)
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( ( complement(X0,X1)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X1,X0) != one )
& ( ( zero = multiplication(X0,X1)
& zero = multiplication(X1,X0)
& addition(X1,X0) = one )
| ~ complement(X0,X1) ) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X1,X0] :
( ( complement(X0,X1)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X1,X0) != one )
& ( ( zero = multiplication(X0,X1)
& zero = multiplication(X1,X0)
& addition(X1,X0) = one )
| ~ complement(X0,X1) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X1,X0] :
( complement(X0,X1)
<=> ( zero = multiplication(X0,X1)
& zero = multiplication(X1,X0)
& addition(X1,X0) = one ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X4,X3] :
( ( zero = multiplication(X4,X3)
& zero = multiplication(X3,X4)
& one = addition(X3,X4) )
<=> complement(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_2) ).
fof(f53,plain,
one != addition(multiplication(addition(sK1,c(sK1)),sK0),multiplication(addition(sK1,c(sK1)),c(sK0))),
inference(cnf_transformation,[],[f41]) ).
fof(f102,plain,
one = addition(sK0,c(sK0)),
inference(resolution,[],[f85,f55]) ).
fof(f55,plain,
test(sK0),
inference(cnf_transformation,[],[f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE007+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 00:14:14 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.54 % (13473)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.54 % (13457)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.54 % (13465)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (13465)Instruction limit reached!
% 0.19/0.54 % (13465)------------------------------
% 0.19/0.54 % (13465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (13466)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55 % (13452)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.55 % (13455)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.56 % (13465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (13465)Termination reason: Unknown
% 0.19/0.56 % (13465)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (13465)Memory used [KB]: 6012
% 0.19/0.56 % (13465)Time elapsed: 0.126 s
% 0.19/0.56 % (13467)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.56 % (13465)Instructions burned: 8 (million)
% 0.19/0.56 % (13465)------------------------------
% 0.19/0.56 % (13465)------------------------------
% 0.19/0.56 % (13455)Instruction limit reached!
% 0.19/0.56 % (13455)------------------------------
% 0.19/0.56 % (13455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (13475)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.56/0.56 % (13456)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.56/0.56 % (13454)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.56/0.56 % (13458)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.56/0.56 % (13476)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.56/0.57 % (13462)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.56/0.57 % (13477)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.56/0.57 % (13462)Refutation not found, incomplete strategy% (13462)------------------------------
% 1.56/0.57 % (13462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.57 % (13462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.57 % (13462)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.57
% 1.56/0.57 % (13462)Memory used [KB]: 1407
% 1.56/0.57 % (13462)Time elapsed: 0.160 s
% 1.56/0.57 % (13462)Instructions burned: 2 (million)
% 1.56/0.57 % (13462)------------------------------
% 1.56/0.57 % (13462)------------------------------
% 1.56/0.57 % (13459)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.56/0.57 % (13453)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.56/0.57 % (13479)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.56/0.57 % (13471)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.56/0.57 % (13463)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.56/0.57 % (13450)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.56/0.57 % (13479)First to succeed.
% 1.56/0.57 % (13479)Refutation found. Thanks to Tanya!
% 1.56/0.57 % SZS status Theorem for theBenchmark
% 1.56/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.57 % (13479)------------------------------
% 1.56/0.57 % (13479)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.57 % (13479)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.57 % (13479)Termination reason: Refutation
% 1.56/0.57
% 1.56/0.57 % (13479)Memory used [KB]: 6012
% 1.56/0.57 % (13479)Time elapsed: 0.165 s
% 1.56/0.57 % (13479)Instructions burned: 4 (million)
% 1.56/0.57 % (13479)------------------------------
% 1.56/0.57 % (13479)------------------------------
% 1.56/0.57 % (13449)Success in time 0.22 s
%------------------------------------------------------------------------------