TSTP Solution File: KLE113+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE113+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 : n019.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 17:29:10 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 36 ( 35 unt; 0 def)
% Number of atoms : 37 ( 36 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 12 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 28 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f138,plain,
$false,
inference(subsumption_resolution,[],[f137,f89]) ).
fof(f89,plain,
zero = antidomain(one),
inference(superposition,[],[f62,f73]) ).
fof(f73,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(f62,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f34]) ).
fof(f34,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(f137,plain,
zero != antidomain(one),
inference(forward_demodulation,[],[f136,f126]) ).
fof(f126,plain,
one = antidomain(zero),
inference(superposition,[],[f121,f61]) ).
fof(f61,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(f121,plain,
one = addition(antidomain(zero),zero),
inference(superposition,[],[f59,f89]) ).
fof(f59,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f46]) ).
fof(f46,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(f136,plain,
zero != antidomain(antidomain(zero)),
inference(forward_demodulation,[],[f135,f74]) ).
fof(f74,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(f135,plain,
zero != antidomain(antidomain(multiplication(sK0,zero))),
inference(forward_demodulation,[],[f134,f89]) ).
fof(f134,plain,
zero != antidomain(antidomain(multiplication(sK0,antidomain(one)))),
inference(backward_demodulation,[],[f88,f126]) ).
fof(f88,plain,
zero != antidomain(antidomain(multiplication(sK0,antidomain(antidomain(zero))))),
inference(definition_unfolding,[],[f63,f86]) ).
fof(f86,plain,
! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(definition_unfolding,[],[f58,f66,f66]) ).
fof(f66,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,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(f58,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X1,X0] : domain(multiplication(X1,domain(X0))) = forward_diamond(X1,X0),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X4,X3] : forward_diamond(X3,X4) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',forward_diamond) ).
fof(f63,plain,
zero != forward_diamond(sK0,zero),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
zero != forward_diamond(sK0,zero),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f47,f49]) ).
fof(f49,plain,
( ? [X0] : zero != forward_diamond(X0,zero)
=> zero != forward_diamond(sK0,zero) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
? [X0] : zero != forward_diamond(X0,zero),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
~ ! [X0] : zero = forward_diamond(X0,zero),
inference(rectify,[],[f28]) ).
fof(f28,negated_conjecture,
~ ! [X3] : zero = forward_diamond(X3,zero),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
! [X3] : zero = forward_diamond(X3,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE113+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n019.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 00:30:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.50 % (15628)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.50 % (15620)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (15628)First to succeed.
% 0.20/0.51 % (15628)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (15628)------------------------------
% 0.20/0.51 % (15628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (15628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (15628)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (15628)Memory used [KB]: 5500
% 0.20/0.51 % (15628)Time elapsed: 0.099 s
% 0.20/0.51 % (15628)Instructions burned: 5 (million)
% 0.20/0.51 % (15628)------------------------------
% 0.20/0.51 % (15628)------------------------------
% 0.20/0.51 % (15606)Success in time 0.159 s
%------------------------------------------------------------------------------