TSTP Solution File: GEO209+3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO209+3 : 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 : n018.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 16:12:18 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 9 unt; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 107 ( 30 ~; 22 |; 46 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 68 ( 52 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f206,plain,
$false,
inference(subsumption_resolution,[],[f203,f180]) ).
fof(f180,plain,
~ convergent_lines(sK1,sK0),
inference(resolution,[],[f133,f164]) ).
fof(f164,plain,
parallel_lines(sK1,sK0),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( parallel_lines(sK3,sK0)
& incident_point_and_line(sK2,sK3)
& apart_point_and_line(sK2,sK0)
& incident_point_and_line(sK2,sK1)
& parallel_lines(sK1,sK0)
& ~ equal_lines(sK1,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f122,f123]) ).
fof(f123,plain,
( ? [X0,X1,X2,X3] :
( parallel_lines(X3,X0)
& incident_point_and_line(X2,X3)
& apart_point_and_line(X2,X0)
& incident_point_and_line(X2,X1)
& parallel_lines(X1,X0)
& ~ equal_lines(X1,X3) )
=> ( parallel_lines(sK3,sK0)
& incident_point_and_line(sK2,sK3)
& apart_point_and_line(sK2,sK0)
& incident_point_and_line(sK2,sK1)
& parallel_lines(sK1,sK0)
& ~ equal_lines(sK1,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
? [X0,X1,X2,X3] :
( parallel_lines(X3,X0)
& incident_point_and_line(X2,X3)
& apart_point_and_line(X2,X0)
& incident_point_and_line(X2,X1)
& parallel_lines(X1,X0)
& ~ equal_lines(X1,X3) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
? [X3,X1,X2,X0] :
( parallel_lines(X0,X3)
& incident_point_and_line(X2,X0)
& apart_point_and_line(X2,X3)
& incident_point_and_line(X2,X1)
& parallel_lines(X1,X3)
& ~ equal_lines(X1,X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
? [X3,X0,X1,X2] :
( ~ equal_lines(X1,X0)
& incident_point_and_line(X2,X1)
& incident_point_and_line(X2,X0)
& apart_point_and_line(X2,X3)
& parallel_lines(X0,X3)
& parallel_lines(X1,X3) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,plain,
~ ! [X3,X0,X1,X2] :
( ( incident_point_and_line(X2,X1)
& incident_point_and_line(X2,X0)
& apart_point_and_line(X2,X3)
& parallel_lines(X0,X3)
& parallel_lines(X1,X3) )
=> equal_lines(X1,X0) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X7,X6,X8,X5] :
( ( parallel_lines(X6,X5)
& incident_point_and_line(X8,X6)
& parallel_lines(X7,X5)
& apart_point_and_line(X8,X5)
& incident_point_and_line(X8,X7) )
=> equal_lines(X6,X7) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X7,X6,X8,X5] :
( ( parallel_lines(X6,X5)
& incident_point_and_line(X8,X6)
& parallel_lines(X7,X5)
& apart_point_and_line(X8,X5)
& incident_point_and_line(X8,X7) )
=> equal_lines(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f133,plain,
! [X0,X1] :
( ~ parallel_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ( ~ convergent_lines(X0,X1)
| ~ parallel_lines(X0,X1) )
& ( parallel_lines(X0,X1)
| convergent_lines(X0,X1) ) ),
inference(rectify,[],[f104]) ).
fof(f104,plain,
! [X1,X0] :
( ( ~ convergent_lines(X1,X0)
| ~ parallel_lines(X1,X0) )
& ( parallel_lines(X1,X0)
| convergent_lines(X1,X0) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X1,X0] :
( ~ convergent_lines(X1,X0)
<=> parallel_lines(X1,X0) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X1,X0] :
( parallel_lines(X0,X1)
<=> ~ convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).
fof(f203,plain,
convergent_lines(sK1,sK0),
inference(resolution,[],[f201,f181]) ).
fof(f181,plain,
~ convergent_lines(sK3,sK0),
inference(resolution,[],[f133,f168]) ).
fof(f168,plain,
parallel_lines(sK3,sK0),
inference(cnf_transformation,[],[f124]) ).
fof(f201,plain,
! [X3] :
( convergent_lines(sK3,X3)
| convergent_lines(sK1,X3) ),
inference(resolution,[],[f140,f184]) ).
fof(f184,plain,
convergent_lines(sK1,sK3),
inference(resolution,[],[f183,f131]) ).
fof(f131,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f183,plain,
distinct_lines(sK1,sK3),
inference(resolution,[],[f145,f163]) ).
fof(f163,plain,
~ equal_lines(sK1,sK3),
inference(cnf_transformation,[],[f124]) ).
fof(f145,plain,
! [X0,X1] :
( equal_lines(X1,X0)
| distinct_lines(X1,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ( ~ distinct_lines(X1,X0)
| ~ equal_lines(X1,X0) )
& ( equal_lines(X1,X0)
| distinct_lines(X1,X0) ) ),
inference(rectify,[],[f114]) ).
fof(f114,plain,
! [X1,X0] :
( ( ~ distinct_lines(X0,X1)
| ~ equal_lines(X0,X1) )
& ( equal_lines(X0,X1)
| distinct_lines(X0,X1) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X1,X0] :
( ~ distinct_lines(X0,X1)
<=> equal_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X2)
| convergent_lines(X2,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
| convergent_lines(X2,X1)
| ~ convergent_lines(X0,X2) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X0,X2,X1] :
( convergent_lines(X0,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO209+3 : 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
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 21:32:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (31190)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (31203)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.51 % (31192)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (31194)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 % (31194)First to succeed.
% 0.20/0.51 % (31203)Also succeeded, but the first one will report.
% 0.20/0.51 % (31194)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 % (31194)------------------------------
% 0.20/0.51 % (31194)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (31194)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (31194)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (31194)Memory used [KB]: 5500
% 0.20/0.51 % (31194)Time elapsed: 0.114 s
% 0.20/0.51 % (31194)Instructions burned: 3 (million)
% 0.20/0.51 % (31194)------------------------------
% 0.20/0.51 % (31194)------------------------------
% 0.20/0.51 % (31180)Success in time 0.166 s
%------------------------------------------------------------------------------