TSTP Solution File: KLE037+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KLE037+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 : n011.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 17:27:48 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 24 unt; 0 def)
% Number of atoms : 42 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 14 ~; 7 |; 1 &)
% ( 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 : 54 ( 52 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f302,plain,
$false,
inference(resolution,[],[f284,f39]) ).
fof(f39,plain,
~ leq(one,star(sK0)),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
~ leq(one,star(sK0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f28,f29]) ).
fof(f29,plain,
( ? [X0] : ~ leq(one,star(X0))
=> ~ leq(one,star(sK0)) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
? [X0] : ~ leq(one,star(X0)),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X0] : leq(one,star(X0)),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X3] : leq(one,star(X3)),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X3] : leq(one,star(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f284,plain,
! [X0] : leq(one,star(X0)),
inference(resolution,[],[f224,f46]) ).
fof(f46,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold_right) ).
fof(f224,plain,
! [X6,X4,X5] :
( ~ leq(addition(X5,X6),X4)
| leq(X5,X4) ),
inference(superposition,[],[f199,f57]) ).
fof(f57,plain,
! [X3,X4] :
( addition(X4,X3) = X4
| ~ leq(X3,X4) ),
inference(superposition,[],[f49,f52]) ).
fof(f52,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X1,X0] : addition(X0,X1) = addition(X1,X0),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f49,plain,
! [X0,X1] :
( addition(X0,X1) = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ( addition(X0,X1) = X1
| ~ leq(X0,X1) )
& ( leq(X0,X1)
| addition(X0,X1) != X1 ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( addition(X0,X1) = X1
<=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
fof(f199,plain,
! [X10,X8,X9] : leq(X9,addition(X10,addition(X9,X8))),
inference(superposition,[],[f175,f52]) ).
fof(f175,plain,
! [X11,X12,X13] : leq(X13,addition(X11,addition(X12,X13))),
inference(superposition,[],[f163,f50]) ).
fof(f50,plain,
! [X2,X0,X1] : addition(X1,addition(X2,X0)) = addition(addition(X1,X2),X0),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] : addition(X1,addition(X2,X0)) = addition(addition(X1,X2),X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f163,plain,
! [X6,X5] : leq(X5,addition(X6,X5)),
inference(superposition,[],[f155,f52]) ).
fof(f155,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(trivial_inequality_removal,[],[f150]) ).
fof(f150,plain,
! [X0,X1] :
( leq(X0,addition(X0,X1))
| addition(X0,X1) != addition(X0,X1) ),
inference(superposition,[],[f48,f122]) ).
fof(f122,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f50,f41]) ).
fof(f41,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f48,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE037+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
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 00:20:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % (3332)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)
% 0.20/0.55 % (3331)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)
% 0.20/0.56 % (3340)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)
% 0.20/0.56 % (3332)Refutation not found, incomplete strategy% (3332)------------------------------
% 0.20/0.56 % (3332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (3347)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)
% 0.20/0.56 % (3332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (3332)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56
% 0.20/0.56 % (3332)Memory used [KB]: 5884
% 0.20/0.56 % (3332)Time elapsed: 0.123 s
% 0.20/0.56 % (3332)Instructions burned: 2 (million)
% 0.20/0.56 % (3332)------------------------------
% 0.20/0.56 % (3332)------------------------------
% 0.20/0.56 % (3331)First to succeed.
% 0.20/0.57 % (3348)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)
% 0.20/0.57 % (3339)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.57 % (3339)Instruction limit reached!
% 0.20/0.57 % (3339)------------------------------
% 0.20/0.57 % (3339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (3348)Refutation not found, incomplete strategy% (3348)------------------------------
% 0.20/0.57 % (3348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (3348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (3348)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57
% 0.20/0.57 % (3348)Memory used [KB]: 1407
% 0.20/0.57 % (3348)Time elapsed: 0.146 s
% 0.20/0.57 % (3348)Instructions burned: 2 (million)
% 0.20/0.57 % (3348)------------------------------
% 0.20/0.57 % (3348)------------------------------
% 0.20/0.57 % (3339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (3339)Termination reason: Unknown
% 0.20/0.57 % (3339)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (3339)Memory used [KB]: 5884
% 0.20/0.57 % (3339)Time elapsed: 0.140 s
% 0.20/0.57 % (3339)Instructions burned: 4 (million)
% 0.20/0.57 % (3339)------------------------------
% 0.20/0.57 % (3339)------------------------------
% 0.20/0.57 % (3331)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (3331)------------------------------
% 0.20/0.57 % (3331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (3331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (3331)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (3331)Memory used [KB]: 6012
% 0.20/0.57 % (3331)Time elapsed: 0.132 s
% 0.20/0.57 % (3331)Instructions burned: 11 (million)
% 0.20/0.57 % (3331)------------------------------
% 0.20/0.57 % (3331)------------------------------
% 0.20/0.57 % (3324)Success in time 0.213 s
%------------------------------------------------------------------------------