TSTP Solution File: GEO237+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO237+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 : n004.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 16:12:25 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 5 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 94 ( 35 ~; 22 |; 27 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 58 ( 42 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f196,plain,
$false,
inference(subsumption_resolution,[],[f195,f188]) ).
fof(f188,plain,
! [X0,X1] : ~ right_apart_point(X0,X1),
inference(resolution,[],[f173,f176]) ).
fof(f176,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X1,X0] :
( ~ left_apart_point(X1,reverse_line(X0))
& ~ left_apart_point(X1,X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
~ ( left_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(X0)) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X3,X2] :
~ ( left_apart_point(X2,X3)
| left_apart_point(X2,reverse_line(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10_basics) ).
fof(f173,plain,
! [X0,X1] :
( left_apart_point(X0,reverse_line(X1))
| ~ right_apart_point(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( ( right_apart_point(X0,X1)
| ~ left_apart_point(X0,reverse_line(X1)) )
& ( left_apart_point(X0,reverse_line(X1))
| ~ right_apart_point(X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( right_apart_point(X0,X1)
<=> left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_defns) ).
fof(f195,plain,
right_apart_point(sK2,sK1),
inference(subsumption_resolution,[],[f192,f176]) ).
fof(f192,plain,
( left_apart_point(sK2,sK1)
| right_apart_point(sK2,sK1) ),
inference(resolution,[],[f148,f158]) ).
fof(f158,plain,
apart_point_and_line(sK2,sK1),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( ~ divides_points(sK1,sK0,sK2)
& divides_points(sK1,sK0,sK3)
& apart_point_and_line(sK2,sK1)
& ~ divides_points(sK1,sK3,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f121,f122]) ).
fof(f122,plain,
( ? [X0,X1,X2,X3] :
( ~ divides_points(X1,X0,X2)
& divides_points(X1,X0,X3)
& apart_point_and_line(X2,X1)
& ~ divides_points(X1,X3,X2) )
=> ( ~ divides_points(sK1,sK0,sK2)
& divides_points(sK1,sK0,sK3)
& apart_point_and_line(sK2,sK1)
& ~ divides_points(sK1,sK3,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
? [X0,X1,X2,X3] :
( ~ divides_points(X1,X0,X2)
& divides_points(X1,X0,X3)
& apart_point_and_line(X2,X1)
& ~ divides_points(X1,X3,X2) ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
? [X2,X0,X3,X1] :
( ~ divides_points(X0,X2,X3)
& divides_points(X0,X2,X1)
& apart_point_and_line(X3,X0)
& ~ divides_points(X0,X1,X3) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
? [X2,X0,X1,X3] :
( ~ divides_points(X0,X2,X3)
& ~ divides_points(X0,X1,X3)
& divides_points(X0,X2,X1)
& apart_point_and_line(X3,X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
~ ! [X2,X0,X1,X3] :
( apart_point_and_line(X3,X0)
=> ( divides_points(X0,X2,X1)
=> ( divides_points(X0,X2,X3)
| divides_points(X0,X1,X3) ) ) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X3,X5,X2,X6] :
( apart_point_and_line(X6,X3)
=> ( divides_points(X3,X2,X5)
=> ( divides_points(X3,X5,X6)
| divides_points(X3,X2,X6) ) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X3,X5,X2,X6] :
( apart_point_and_line(X6,X3)
=> ( divides_points(X3,X2,X5)
=> ( divides_points(X3,X5,X6)
| divides_points(X3,X2,X6) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f148,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
| left_apart_point(X0,X1)
| right_apart_point(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ( apart_point_and_line(X0,X1)
| ( ~ right_apart_point(X0,X1)
& ~ left_apart_point(X0,X1) ) )
& ( right_apart_point(X0,X1)
| left_apart_point(X0,X1)
| ~ apart_point_and_line(X0,X1) ) ),
inference(rectify,[],[f114]) ).
fof(f114,plain,
! [X1,X0] :
( ( apart_point_and_line(X1,X0)
| ( ~ right_apart_point(X1,X0)
& ~ left_apart_point(X1,X0) ) )
& ( right_apart_point(X1,X0)
| left_apart_point(X1,X0)
| ~ apart_point_and_line(X1,X0) ) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X1,X0] :
( ( apart_point_and_line(X1,X0)
| ( ~ right_apart_point(X1,X0)
& ~ left_apart_point(X1,X0) ) )
& ( right_apart_point(X1,X0)
| left_apart_point(X1,X0)
| ~ apart_point_and_line(X1,X0) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X1,X0] :
( apart_point_and_line(X1,X0)
<=> ( right_apart_point(X1,X0)
| left_apart_point(X1,X0) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X3,X2] :
( apart_point_and_line(X2,X3)
<=> ( right_apart_point(X2,X3)
| left_apart_point(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6_defns) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO237+3 : 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_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:29:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (31312)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51 % (31312)First to succeed.
% 0.20/0.51 % (31318)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (31318)Instruction limit reached!
% 0.20/0.51 % (31318)------------------------------
% 0.20/0.51 % (31318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (31318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (31318)Termination reason: Unknown
% 0.20/0.51 % (31318)Termination phase: Blocked clause elimination
% 0.20/0.51
% 0.20/0.51 % (31318)Memory used [KB]: 1023
% 0.20/0.51 % (31318)Time elapsed: 0.003 s
% 0.20/0.51 % (31318)Instructions burned: 3 (million)
% 0.20/0.51 % (31318)------------------------------
% 0.20/0.51 % (31318)------------------------------
% 0.20/0.51 % (31317)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (31311)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (31330)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.51 % (31332)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)
% 0.20/0.52 % (31314)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (31312)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (31312)------------------------------
% 0.20/0.52 % (31312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (31312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (31312)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (31312)Memory used [KB]: 1023
% 0.20/0.52 % (31312)Time elapsed: 0.097 s
% 0.20/0.52 % (31312)Instructions burned: 4 (million)
% 0.20/0.52 % (31312)------------------------------
% 0.20/0.52 % (31312)------------------------------
% 0.20/0.52 % (31309)Success in time 0.163 s
%------------------------------------------------------------------------------