TSTP Solution File: KLE146+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KLE146+1 : 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 : n022.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 17:28:25 EDT 2022
% Result : Theorem 1.75s 0.57s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 22 unt; 0 def)
% Number of atoms : 38 ( 20 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 13 ~; 6 |; 2 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 43 ( 41 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f230,plain,
$false,
inference(resolution,[],[f224,f45]) ).
fof(f45,plain,
~ leq(one,strong_iteration(sK0)),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
~ leq(one,strong_iteration(sK0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f28,f33]) ).
fof(f33,plain,
( ? [X0] : ~ leq(one,strong_iteration(X0))
=> ~ leq(one,strong_iteration(sK0)) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
? [X0] : ~ leq(one,strong_iteration(X0)),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X0] : leq(one,strong_iteration(X0)),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X3] : leq(one,strong_iteration(X3)),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X3] : leq(one,strong_iteration(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f224,plain,
! [X16] : leq(one,strong_iteration(X16)),
inference(superposition,[],[f210,f108]) ).
fof(f108,plain,
! [X3] : strong_iteration(X3) = addition(one,multiplication(X3,strong_iteration(X3))),
inference(superposition,[],[f48,f49]) ).
fof(f49,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f48,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',infty_unfold1) ).
fof(f210,plain,
! [X4,X5] : leq(X4,addition(X4,X5)),
inference(trivial_inequality_removal,[],[f205]) ).
fof(f205,plain,
! [X4,X5] :
( leq(X4,addition(X4,X5))
| addition(X4,X5) != addition(X4,X5) ),
inference(superposition,[],[f51,f162]) ).
fof(f162,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f53,f47]) ).
fof(f47,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence) ).
fof(f53,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X1,X2,X0] : addition(X0,addition(X2,X1)) = addition(addition(X0,X2),X1),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X2,X1] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f51,plain,
! [X0,X1] :
( addition(X1,X0) != X0
| leq(X1,X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( addition(X1,X0) = X0
| ~ leq(X1,X0) )
& ( leq(X1,X0)
| addition(X1,X0) != X0 ) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X1,X0] :
( ( addition(X0,X1) = X1
| ~ leq(X0,X1) )
& ( leq(X0,X1)
| addition(X0,X1) != X1 ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X1,X0] :
( addition(X0,X1) = X1
<=> leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE146+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n022.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
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 00:28:11 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.54 % (18226)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)
% 0.20/0.55 % (18226)First to succeed.
% 0.20/0.55 % (18221)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.55 % (18223)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)
% 0.20/0.55 % (18223)Refutation not found, incomplete strategy% (18223)------------------------------
% 0.20/0.55 % (18223)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (18242)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.39/0.55 % (18229)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)
% 1.39/0.56 % (18231)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.39/0.56 % (18223)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.56 % (18223)Termination reason: Refutation not found, incomplete strategy
% 1.39/0.56
% 1.39/0.56 % (18223)Memory used [KB]: 5884
% 1.39/0.56 % (18223)Time elapsed: 0.134 s
% 1.39/0.56 % (18223)Instructions burned: 2 (million)
% 1.39/0.56 % (18223)------------------------------
% 1.39/0.56 % (18223)------------------------------
% 1.39/0.56 % (18236)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)
% 1.39/0.56 % (18244)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.39/0.56 % (18229)Refutation not found, incomplete strategy% (18229)------------------------------
% 1.39/0.56 % (18229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.56 % (18221)Refutation not found, incomplete strategy% (18221)------------------------------
% 1.39/0.56 % (18221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.56 % (18229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.56 % (18229)Termination reason: Refutation not found, incomplete strategy
% 1.39/0.56
% 1.39/0.56 % (18229)Memory used [KB]: 5884
% 1.39/0.56 % (18229)Time elapsed: 0.143 s
% 1.39/0.56 % (18229)Instructions burned: 2 (million)
% 1.39/0.56 % (18229)------------------------------
% 1.39/0.56 % (18229)------------------------------
% 1.39/0.56 % (18244)Refutation not found, incomplete strategy% (18244)------------------------------
% 1.39/0.56 % (18244)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.56 % (18244)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.56 % (18244)Termination reason: Refutation not found, incomplete strategy
% 1.39/0.56
% 1.39/0.56 % (18244)Memory used [KB]: 5884
% 1.39/0.56 % (18244)Time elapsed: 0.145 s
% 1.39/0.56 % (18244)Instructions burned: 3 (million)
% 1.39/0.56 % (18244)------------------------------
% 1.39/0.56 % (18244)------------------------------
% 1.39/0.57 % (18221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.57 % (18221)Termination reason: Refutation not found, incomplete strategy
% 1.39/0.57
% 1.39/0.57 % (18221)Memory used [KB]: 5884
% 1.39/0.57 % (18221)Time elapsed: 0.147 s
% 1.39/0.57 % (18221)Instructions burned: 2 (million)
% 1.39/0.57 % (18221)------------------------------
% 1.39/0.57 % (18221)------------------------------
% 1.39/0.57 % (18236)Refutation not found, incomplete strategy% (18236)------------------------------
% 1.39/0.57 % (18236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.57 % (18236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.57 % (18236)Termination reason: Refutation not found, incomplete strategy
% 1.39/0.57
% 1.39/0.57 % (18236)Memory used [KB]: 6012
% 1.39/0.57 % (18236)Time elapsed: 0.145 s
% 1.39/0.57 % (18236)Instructions burned: 2 (million)
% 1.39/0.57 % (18236)------------------------------
% 1.39/0.57 % (18236)------------------------------
% 1.39/0.57 % (18231)Instruction limit reached!
% 1.39/0.57 % (18231)------------------------------
% 1.39/0.57 % (18231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.57 % (18226)Refutation found. Thanks to Tanya!
% 1.75/0.57 % SZS status Theorem for theBenchmark
% 1.75/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.75/0.57 % (18226)------------------------------
% 1.75/0.57 % (18226)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.57 % (18226)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.57 % (18226)Termination reason: Refutation
% 1.75/0.57
% 1.75/0.57 % (18226)Memory used [KB]: 6012
% 1.75/0.57 % (18226)Time elapsed: 0.134 s
% 1.75/0.57 % (18226)Instructions burned: 10 (million)
% 1.75/0.57 % (18226)------------------------------
% 1.75/0.57 % (18226)------------------------------
% 1.75/0.57 % (18219)Success in time 0.221 s
%------------------------------------------------------------------------------