TSTP Solution File: KLE035+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KLE035+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 : n027.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 0.16s 0.45s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 32 unt; 0 def)
% Number of atoms : 91 ( 26 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 66 ( 20 ~; 5 |; 35 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 75 ( 59 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f305,plain,
$false,
inference(subsumption_resolution,[],[f304,f280]) ).
fof(f280,plain,
leq(zero,zero),
inference(backward_demodulation,[],[f79,f114]) ).
fof(f114,plain,
zero = multiplication(sK1,multiplication(sK2,c(sK3))),
inference(superposition,[],[f88,f64]) ).
fof(f64,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) ).
fof(f88,plain,
zero = addition(multiplication(sK1,multiplication(sK2,c(sK3))),zero),
inference(resolution,[],[f79,f60]) ).
fof(f60,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ( addition(X0,X1) = X1
| ~ leq(X0,X1) )
& ( leq(X0,X1)
| addition(X0,X1) != X1 ) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X1,X0] :
( ( addition(X1,X0) = X0
| ~ leq(X1,X0) )
& ( leq(X1,X0)
| addition(X1,X0) != X0 ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X1,X0] :
( addition(X1,X0) = X0
<=> leq(X1,X0) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X0] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
fof(f79,plain,
leq(multiplication(sK1,multiplication(sK2,c(sK3))),zero),
inference(forward_demodulation,[],[f74,f51]) ).
fof(f51,plain,
! [X2,X0,X1] : multiplication(multiplication(X2,X1),X0) = multiplication(X2,multiplication(X1,X0)),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] : multiplication(multiplication(X2,X1),X0) = multiplication(X2,multiplication(X1,X0)),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X1,X0,X2] : multiplication(X2,multiplication(X0,X1)) = multiplication(multiplication(X2,X0),X1),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X2,X0] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f74,plain,
leq(multiplication(multiplication(sK1,sK2),c(sK3)),zero),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( leq(multiplication(multiplication(sK1,sK4),c(sK3)),zero)
& test(sK1)
& leq(multiplication(multiplication(sK1,sK2),c(sK3)),zero)
& ~ leq(multiplication(multiplication(sK1,addition(sK2,sK4)),c(sK3)),zero)
& test(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f48,f49]) ).
fof(f49,plain,
( ? [X0,X1,X2,X3] :
( leq(multiplication(multiplication(X0,X3),c(X2)),zero)
& test(X0)
& leq(multiplication(multiplication(X0,X1),c(X2)),zero)
& ~ leq(multiplication(multiplication(X0,addition(X1,X3)),c(X2)),zero)
& test(X2) )
=> ( leq(multiplication(multiplication(sK1,sK4),c(sK3)),zero)
& test(sK1)
& leq(multiplication(multiplication(sK1,sK2),c(sK3)),zero)
& ~ leq(multiplication(multiplication(sK1,addition(sK2,sK4)),c(sK3)),zero)
& test(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
? [X0,X1,X2,X3] :
( leq(multiplication(multiplication(X0,X3),c(X2)),zero)
& test(X0)
& leq(multiplication(multiplication(X0,X1),c(X2)),zero)
& ~ leq(multiplication(multiplication(X0,addition(X1,X3)),c(X2)),zero)
& test(X2) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
? [X3,X0,X2,X1] :
( leq(multiplication(multiplication(X3,X1),c(X2)),zero)
& test(X3)
& leq(multiplication(multiplication(X3,X0),c(X2)),zero)
& ~ leq(multiplication(multiplication(X3,addition(X0,X1)),c(X2)),zero)
& test(X2) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
? [X1,X0,X2,X3] :
( ~ leq(multiplication(multiplication(X3,addition(X0,X1)),c(X2)),zero)
& test(X2)
& leq(multiplication(multiplication(X3,X0),c(X2)),zero)
& test(X3)
& leq(multiplication(multiplication(X3,X1),c(X2)),zero) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X1,X0,X2,X3] :
( ( test(X2)
& leq(multiplication(multiplication(X3,X0),c(X2)),zero)
& test(X3)
& leq(multiplication(multiplication(X3,X1),c(X2)),zero) )
=> leq(multiplication(multiplication(X3,addition(X0,X1)),c(X2)),zero) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X3,X4,X6,X5] :
( ( test(X6)
& test(X5)
& leq(multiplication(multiplication(X5,X3),c(X6)),zero)
& leq(multiplication(multiplication(X5,X4),c(X6)),zero) )
=> leq(multiplication(multiplication(X5,addition(X3,X4)),c(X6)),zero) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X3,X4,X6,X5] :
( ( test(X6)
& test(X5)
& leq(multiplication(multiplication(X5,X3),c(X6)),zero)
& leq(multiplication(multiplication(X5,X4),c(X6)),zero) )
=> leq(multiplication(multiplication(X5,addition(X3,X4)),c(X6)),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f304,plain,
~ leq(zero,zero),
inference(forward_demodulation,[],[f295,f77]) ).
fof(f77,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(f295,plain,
~ leq(addition(zero,zero),zero),
inference(backward_demodulation,[],[f279,f133]) ).
fof(f133,plain,
zero = multiplication(sK1,multiplication(sK4,c(sK3))),
inference(superposition,[],[f89,f64]) ).
fof(f89,plain,
zero = addition(multiplication(sK1,multiplication(sK4,c(sK3))),zero),
inference(resolution,[],[f80,f60]) ).
fof(f80,plain,
leq(multiplication(sK1,multiplication(sK4,c(sK3))),zero),
inference(forward_demodulation,[],[f76,f51]) ).
fof(f76,plain,
leq(multiplication(multiplication(sK1,sK4),c(sK3)),zero),
inference(cnf_transformation,[],[f50]) ).
fof(f279,plain,
~ leq(addition(zero,multiplication(sK1,multiplication(sK4,c(sK3)))),zero),
inference(backward_demodulation,[],[f83,f114]) ).
fof(f83,plain,
~ leq(addition(multiplication(sK1,multiplication(sK2,c(sK3))),multiplication(sK1,multiplication(sK4,c(sK3)))),zero),
inference(forward_demodulation,[],[f82,f69]) ).
fof(f69,plain,
! [X2,X0,X1] : multiplication(X1,addition(X0,X2)) = addition(multiplication(X1,X0),multiplication(X1,X2)),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] : multiplication(X1,addition(X0,X2)) = addition(multiplication(X1,X0),multiplication(X1,X2)),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f82,plain,
~ leq(multiplication(sK1,addition(multiplication(sK2,c(sK3)),multiplication(sK4,c(sK3)))),zero),
inference(forward_demodulation,[],[f81,f66]) ).
fof(f66,plain,
! [X2,X0,X1] : addition(multiplication(X1,X0),multiplication(X2,X0)) = multiplication(addition(X1,X2),X0),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] : addition(multiplication(X1,X0),multiplication(X2,X0)) = multiplication(addition(X1,X2),X0),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X1,X2,X0] : addition(multiplication(X2,X1),multiplication(X0,X1)) = multiplication(addition(X2,X0),X1),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X2,X0] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f81,plain,
~ leq(multiplication(sK1,multiplication(addition(sK2,sK4),c(sK3))),zero),
inference(forward_demodulation,[],[f73,f51]) ).
fof(f73,plain,
~ leq(multiplication(multiplication(sK1,addition(sK2,sK4)),c(sK3)),zero),
inference(cnf_transformation,[],[f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KLE035+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.32 % Computer : n027.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 30 00:38:15 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.16/0.43 % (9568)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)
% 0.16/0.43 % (9576)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)
% 0.16/0.44 % (9576)First to succeed.
% 0.16/0.44 % (9568)Also succeeded, but the first one will report.
% 0.16/0.45 % (9576)Refutation found. Thanks to Tanya!
% 0.16/0.45 % SZS status Theorem for theBenchmark
% 0.16/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.45 % (9576)------------------------------
% 0.16/0.45 % (9576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.45 % (9576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.45 % (9576)Termination reason: Refutation
% 0.16/0.45
% 0.16/0.45 % (9576)Memory used [KB]: 1663
% 0.16/0.45 % (9576)Time elapsed: 0.073 s
% 0.16/0.45 % (9576)Instructions burned: 12 (million)
% 0.16/0.45 % (9576)------------------------------
% 0.16/0.45 % (9576)------------------------------
% 0.16/0.45 % (9552)Success in time 0.118 s
%------------------------------------------------------------------------------