TSTP Solution File: LCL684+1.001 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL684+1.001 : 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 : n023.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 17:45:33 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 102 ( 53 ~; 30 |; 18 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 29 ( 22 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,plain,
$false,
inference(unit_resulting_resolution,[],[f15,f14,f17,f17,f16]) ).
fof(f16,plain,
! [X2,X1] :
( ~ r1(sK0,X1)
| ~ r1(X1,X2)
| ~ p201(X2)
| ~ p101(X2) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
( ! [X1] :
( ~ r1(sK0,X1)
| ! [X2] :
( ~ p101(X2)
| ~ p201(X2)
| ~ r1(X1,X2) ) )
& p101(sK0)
& p201(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f9,f12]) ).
fof(f12,plain,
( ? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ p101(X2)
| ~ p201(X2)
| ~ r1(X1,X2) ) )
& p101(X0)
& p201(X0) )
=> ( ! [X1] :
( ~ r1(sK0,X1)
| ! [X2] :
( ~ p101(X2)
| ~ p201(X2)
| ~ r1(X1,X2) ) )
& p101(sK0)
& p201(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ p101(X2)
| ~ p201(X2)
| ~ r1(X1,X2) ) )
& p101(X0)
& p201(X0) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
? [X0] :
( ! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ~ p101(X2)
| ~ p201(X2) )
| ~ r1(X0,X1) )
& p101(X0)
& p201(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ~ ( p101(X2)
& p201(X2) ) )
| ~ r1(X0,X1) )
| ~ ( p101(X0)
& p201(X0) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ~ ( p101(X2)
& p201(X2) ) )
| ~ r1(X0,X1) )
| ~ ( p101(X0)
& p201(X0) ) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( p201(X0)
& p101(X0) ) ) )
| ~ ( p101(X0)
& p201(X0) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ( p201(X0)
& p101(X0) ) ) )
| ~ ( p101(X0)
& p201(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f17,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f14,plain,
p201(sK0),
inference(cnf_transformation,[],[f13]) ).
fof(f15,plain,
p101(sK0),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL684+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36 % Computer : n023.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 30 02:50:20 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.20/0.52 % (12815)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)
% 0.20/0.53 % (12823)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (12815)Instruction limit reached!
% 0.20/0.53 % (12815)------------------------------
% 0.20/0.53 % (12815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (12815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (12815)Termination reason: Unknown
% 0.20/0.53 % (12815)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (12815)Memory used [KB]: 1407
% 0.20/0.53 % (12815)Time elapsed: 0.003 s
% 0.20/0.53 % (12815)Instructions burned: 2 (million)
% 0.20/0.53 % (12815)------------------------------
% 0.20/0.53 % (12815)------------------------------
% 0.20/0.53 % (12808)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)
% 0.20/0.53 % (12804)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53 % (12808)First to succeed.
% 0.20/0.53 % (12808)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (12808)------------------------------
% 0.20/0.53 % (12808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (12808)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (12808)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (12808)Memory used [KB]: 5884
% 0.20/0.53 % (12808)Time elapsed: 0.115 s
% 0.20/0.53 % (12808)Instructions burned: 2 (million)
% 0.20/0.53 % (12808)------------------------------
% 0.20/0.53 % (12808)------------------------------
% 0.20/0.53 % (12794)Success in time 0.166 s
%------------------------------------------------------------------------------