TSTP Solution File: KLE002+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KLE002+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 : n029.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 17:27:31 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 36 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 15 ~; 4 |; 6 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 35 ( 26 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f80,plain,
$false,
inference(trivial_inequality_removal,[],[f79]) ).
fof(f79,plain,
multiplication(sK2,sK1) != multiplication(sK2,sK1),
inference(forward_demodulation,[],[f65,f43]) ).
fof(f43,plain,
addition(sK0,sK2) = sK2,
inference(resolution,[],[f33,f37]) ).
fof(f37,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,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/sandbox/benchmark/theBenchmark.p',order) ).
fof(f33,plain,
leq(sK0,sK2),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
( ~ leq(multiplication(sK0,sK1),multiplication(sK2,sK1))
& leq(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f21,f22]) ).
fof(f22,plain,
( ? [X0,X1,X2] :
( ~ leq(multiplication(X0,X1),multiplication(X2,X1))
& leq(X0,X2) )
=> ( ~ leq(multiplication(sK0,sK1),multiplication(sK2,sK1))
& leq(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
? [X0,X1,X2] :
( ~ leq(multiplication(X0,X1),multiplication(X2,X1))
& leq(X0,X2) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
? [X1,X2,X0] :
( ~ leq(multiplication(X1,X2),multiplication(X0,X2))
& leq(X1,X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X2,X0,X1] :
( leq(X1,X0)
=> leq(multiplication(X1,X2),multiplication(X0,X2)) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X4,X3,X5] :
( leq(X3,X4)
=> leq(multiplication(X3,X5),multiplication(X4,X5)) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X4,X3,X5] :
( leq(X3,X4)
=> leq(multiplication(X3,X5),multiplication(X4,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f65,plain,
multiplication(addition(sK0,sK2),sK1) != multiplication(sK2,sK1),
inference(superposition,[],[f47,f35]) ).
fof(f35,plain,
! [X2,X0,X1] : addition(multiplication(X1,X0),multiplication(X2,X0)) = multiplication(addition(X1,X2),X0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] : addition(multiplication(X1,X0),multiplication(X2,X0)) = multiplication(addition(X1,X2),X0),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_distributivity) ).
fof(f47,plain,
addition(multiplication(sK0,sK1),multiplication(sK2,sK1)) != multiplication(sK2,sK1),
inference(resolution,[],[f34,f36]) ).
fof(f36,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f34,plain,
~ leq(multiplication(sK0,sK1),multiplication(sK2,sK1)),
inference(cnf_transformation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE002+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 00:31:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (19850)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)
% 0.19/0.49 % (19835)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.50 % (19835)Refutation not found, incomplete strategy% (19835)------------------------------
% 0.19/0.50 % (19835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (19835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (19835)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (19835)Memory used [KB]: 5884
% 0.19/0.50 % (19835)Time elapsed: 0.094 s
% 0.19/0.50 % (19835)Instructions burned: 2 (million)
% 0.19/0.50 % (19835)------------------------------
% 0.19/0.50 % (19835)------------------------------
% 0.19/0.50 % (19842)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.50 % (19834)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50 % (19850)First to succeed.
% 0.19/0.50 % (19845)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (19850)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (19850)------------------------------
% 0.19/0.50 % (19850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (19850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (19850)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (19850)Memory used [KB]: 6012
% 0.19/0.50 % (19850)Time elapsed: 0.108 s
% 0.19/0.50 % (19850)Instructions burned: 2 (million)
% 0.19/0.50 % (19850)------------------------------
% 0.19/0.50 % (19850)------------------------------
% 0.19/0.50 % (19833)Success in time 0.159 s
%------------------------------------------------------------------------------