TSTP Solution File: KLE131+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE131+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_sat --cores 0 -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 : Wed Aug 31 17:29:12 EDT 2022
% Result : Theorem 0.23s 0.52s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 57 ( 51 unt; 0 def)
% Number of atoms : 65 ( 64 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 52 ( 50 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f535,plain,
$false,
inference(subsumption_resolution,[],[f528,f94]) ).
fof(f94,plain,
zero != sF2,
inference(definition_folding,[],[f87,f93]) ).
fof(f93,plain,
divergence(sK0) = sF2,
introduced(function_definition,[]) ).
fof(f87,plain,
zero != divergence(sK0),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ! [X1] : forward_diamond(star(sK0),domain_difference(domain(X1),forward_diamond(sK0,domain(X1)))) = addition(domain(X1),forward_diamond(star(sK0),domain_difference(domain(X1),forward_diamond(sK0,domain(X1)))))
& zero != divergence(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f51,f58]) ).
fof(f58,plain,
( ? [X0] :
( ! [X1] : forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) = addition(domain(X1),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))))
& zero != divergence(X0) )
=> ( ! [X1] : forward_diamond(star(sK0),domain_difference(domain(X1),forward_diamond(sK0,domain(X1)))) = addition(domain(X1),forward_diamond(star(sK0),domain_difference(domain(X1),forward_diamond(sK0,domain(X1)))))
& zero != divergence(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
? [X0] :
( ! [X1] : forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) = addition(domain(X1),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))))
& zero != divergence(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
~ ! [X0] :
( ! [X1] : forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) = addition(domain(X1),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))))
=> zero = divergence(X0) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X3] :
( ! [X4] : forward_diamond(star(X3),domain_difference(domain(X4),forward_diamond(X3,domain(X4)))) = addition(domain(X4),forward_diamond(star(X3),domain_difference(domain(X4),forward_diamond(X3,domain(X4)))))
=> zero = divergence(X3) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X3] :
( ! [X4] : forward_diamond(star(X3),domain_difference(domain(X4),forward_diamond(X3,domain(X4)))) = addition(domain(X4),forward_diamond(star(X3),domain_difference(domain(X4),forward_diamond(X3,domain(X4)))))
=> zero = divergence(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f528,plain,
zero = sF2,
inference(superposition,[],[f493,f82]) ).
fof(f82,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
fof(f493,plain,
zero = addition(sF2,zero),
inference(forward_demodulation,[],[f483,f164]) ).
fof(f164,plain,
! [X1] : zero = forward_diamond(X1,zero),
inference(forward_demodulation,[],[f163,f150]) ).
fof(f150,plain,
zero = domain(zero),
inference(forward_demodulation,[],[f148,f101]) ).
fof(f101,plain,
zero = antidomain(one),
inference(superposition,[],[f80,f67]) ).
fof(f67,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] : zero = multiplication(antidomain(X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f80,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f148,plain,
antidomain(one) = domain(zero),
inference(superposition,[],[f73,f129]) ).
fof(f129,plain,
one = antidomain(zero),
inference(superposition,[],[f82,f120]) ).
fof(f120,plain,
one = addition(antidomain(zero),zero),
inference(forward_demodulation,[],[f112,f101]) ).
fof(f112,plain,
one = addition(antidomain(zero),antidomain(one)),
inference(superposition,[],[f96,f103]) ).
fof(f103,plain,
domain(one) = antidomain(zero),
inference(superposition,[],[f73,f101]) ).
fof(f96,plain,
! [X0] : one = addition(domain(X0),antidomain(X0)),
inference(forward_demodulation,[],[f84,f73]) ).
fof(f84,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : one = addition(antidomain(antidomain(X3)),antidomain(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain3) ).
fof(f73,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3] : antidomain(antidomain(X3)) = domain(X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).
fof(f163,plain,
! [X1] : domain(zero) = forward_diamond(X1,zero),
inference(forward_demodulation,[],[f156,f71]) ).
fof(f71,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] : zero = multiplication(X0,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_annihilation) ).
fof(f156,plain,
! [X1] : domain(multiplication(X1,zero)) = forward_diamond(X1,zero),
inference(superposition,[],[f77,f150]) ).
fof(f77,plain,
! [X0,X1] : domain(multiplication(X0,domain(X1))) = forward_diamond(X0,X1),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] : domain(multiplication(X0,domain(X1))) = forward_diamond(X0,X1),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X3,X4] : forward_diamond(X3,X4) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',forward_diamond) ).
fof(f483,plain,
addition(sF2,forward_diamond(sF1,zero)) = forward_diamond(sF1,zero),
inference(backward_demodulation,[],[f187,f470]) ).
fof(f470,plain,
! [X0] : zero = domain_difference(X0,X0),
inference(superposition,[],[f81,f105]) ).
fof(f105,plain,
! [X0] : zero = multiplication(domain(X0),antidomain(X0)),
inference(superposition,[],[f67,f73]) ).
fof(f81,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X3,X4] : domain_difference(X3,X4) = multiplication(domain(X3),antidomain(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_difference) ).
fof(f187,plain,
addition(sF2,forward_diamond(sF1,domain_difference(sF2,sF2))) = forward_diamond(sF1,domain_difference(sF2,sF2)),
inference(forward_demodulation,[],[f185,f107]) ).
fof(f107,plain,
forward_diamond(sK0,sF2) = sF2,
inference(superposition,[],[f75,f93]) ).
fof(f75,plain,
! [X0] : divergence(X0) = forward_diamond(X0,divergence(X0)),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] : divergence(X0) = forward_diamond(X0,divergence(X0)),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X3] : divergence(X3) = forward_diamond(X3,divergence(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divergence1) ).
fof(f185,plain,
forward_diamond(sF1,domain_difference(sF2,forward_diamond(sK0,sF2))) = addition(sF2,forward_diamond(sF1,domain_difference(sF2,forward_diamond(sK0,sF2)))),
inference(superposition,[],[f162,f107]) ).
fof(f162,plain,
! [X2,X3] : addition(forward_diamond(X2,X3),forward_diamond(sF1,domain_difference(forward_diamond(X2,X3),forward_diamond(sK0,forward_diamond(X2,X3))))) = forward_diamond(sF1,domain_difference(forward_diamond(X2,X3),forward_diamond(sK0,forward_diamond(X2,X3)))),
inference(superposition,[],[f92,f77]) ).
fof(f92,plain,
! [X1] : forward_diamond(sF1,domain_difference(domain(X1),forward_diamond(sK0,domain(X1)))) = addition(domain(X1),forward_diamond(sF1,domain_difference(domain(X1),forward_diamond(sK0,domain(X1))))),
inference(definition_folding,[],[f88,f91,f91]) ).
fof(f91,plain,
sF1 = star(sK0),
introduced(function_definition,[]) ).
fof(f88,plain,
! [X1] : forward_diamond(star(sK0),domain_difference(domain(X1),forward_diamond(sK0,domain(X1)))) = addition(domain(X1),forward_diamond(star(sK0),domain_difference(domain(X1),forward_diamond(sK0,domain(X1))))),
inference(cnf_transformation,[],[f59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : KLE131+1 : TPTP v8.1.0. Released v4.0.0.
% 0.14/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.16/0.37 % Computer : n026.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Aug 30 00:40:05 EDT 2022
% 0.16/0.37 % CPUTime :
% 0.23/0.47 % (9412)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.23/0.47 % (9404)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.23/0.48 % (9396)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.50 % (9396)Instruction limit reached!
% 0.23/0.50 % (9396)------------------------------
% 0.23/0.50 % (9396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.50 % (9396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.50 % (9396)Termination reason: Unknown
% 0.23/0.50 % (9396)Termination phase: Saturation
% 0.23/0.50
% 0.23/0.50 % (9396)Memory used [KB]: 5500
% 0.23/0.50 % (9396)Time elapsed: 0.062 s
% 0.23/0.50 % (9396)Instructions burned: 7 (million)
% 0.23/0.50 % (9396)------------------------------
% 0.23/0.50 % (9396)------------------------------
% 0.23/0.51 % (9404)First to succeed.
% 0.23/0.52 % (9404)Refutation found. Thanks to Tanya!
% 0.23/0.52 % SZS status Theorem for theBenchmark
% 0.23/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.52 % (9404)------------------------------
% 0.23/0.52 % (9404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.52 % (9404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.52 % (9404)Termination reason: Refutation
% 0.23/0.52
% 0.23/0.52 % (9404)Memory used [KB]: 1535
% 0.23/0.52 % (9404)Time elapsed: 0.070 s
% 0.23/0.52 % (9404)Instructions burned: 29 (million)
% 0.23/0.52 % (9404)------------------------------
% 0.23/0.52 % (9404)------------------------------
% 0.23/0.52 % (9387)Success in time 0.14 s
%------------------------------------------------------------------------------