TSTP Solution File: KLE066+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KLE066+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 : n007.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 17:27:58 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 21 unt; 0 def)
% Number of atoms : 37 ( 36 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 17 ( 8 ~; 0 |; 5 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 21 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f85,plain,
$false,
inference(subsumption_resolution,[],[f81,f47]) ).
fof(f47,plain,
zero != multiplication(sK1,sK0),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( zero = multiplication(sK1,domain(sK0))
& zero != multiplication(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f33,f34]) ).
fof(f34,plain,
( ? [X0,X1] :
( zero = multiplication(X1,domain(X0))
& zero != multiplication(X1,X0) )
=> ( zero = multiplication(sK1,domain(sK0))
& zero != multiplication(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
? [X0,X1] :
( zero = multiplication(X1,domain(X0))
& zero != multiplication(X1,X0) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
? [X1,X0] :
( zero = multiplication(X0,domain(X1))
& zero != multiplication(X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
~ ! [X1,X0] :
( zero = multiplication(X0,domain(X1))
=> zero = multiplication(X0,X1) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X3,X4] :
( zero = multiplication(X3,domain(X4))
=> zero = multiplication(X3,X4) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X3,X4] :
( zero = multiplication(X3,domain(X4))
=> zero = multiplication(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f81,plain,
zero = multiplication(sK1,sK0),
inference(superposition,[],[f49,f76]) ).
fof(f76,plain,
zero = addition(multiplication(sK1,sK0),zero),
inference(forward_demodulation,[],[f68,f42]) ).
fof(f42,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f68,plain,
multiplication(zero,multiplication(sK1,sK0)) = addition(multiplication(sK1,sK0),multiplication(zero,multiplication(sK1,sK0))),
inference(superposition,[],[f55,f66]) ).
fof(f66,plain,
zero = domain(multiplication(sK1,sK0)),
inference(forward_demodulation,[],[f58,f45]) ).
fof(f45,plain,
zero = domain(zero),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
zero = domain(zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain4) ).
fof(f58,plain,
domain(zero) = domain(multiplication(sK1,sK0)),
inference(superposition,[],[f50,f48]) ).
fof(f48,plain,
zero = multiplication(sK1,domain(sK0)),
inference(cnf_transformation,[],[f35]) ).
fof(f50,plain,
! [X0,X1] : domain(multiplication(X1,domain(X0))) = domain(multiplication(X1,X0)),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] : domain(multiplication(X1,domain(X0))) = domain(multiplication(X1,X0)),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X1,X0] : domain(multiplication(X0,domain(X1))) = domain(multiplication(X0,X1)),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).
fof(f55,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] : multiplication(domain(X3),X3) = addition(X3,multiplication(domain(X3),X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f49,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE066+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
% 0.13/0.34 % Computer : n007.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 00:10:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (28696)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)
% 0.20/0.51 % (28697)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)
% 0.20/0.51 % (28712)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.51 % (28664)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (28704)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)
% 0.20/0.52 % (28701)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (28699)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)
% 0.20/0.52 % (28698)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)
% 0.20/0.52 % (28669)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)
% 0.20/0.52 % (28700)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (28711)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)
% 0.20/0.52 % (28669)First to succeed.
% 0.20/0.52 TRYING [1]
% 0.20/0.52 % (28707)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)
% 0.20/0.52 % (28669)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (28669)------------------------------
% 0.20/0.52 % (28669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (28669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (28669)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (28669)Memory used [KB]: 5884
% 0.20/0.52 % (28669)Time elapsed: 0.116 s
% 0.20/0.52 % (28669)Instructions burned: 2 (million)
% 0.20/0.52 % (28669)------------------------------
% 0.20/0.52 % (28669)------------------------------
% 0.20/0.52 % (28658)Success in time 0.17 s
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