TSTP Solution File: GEO179+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO179+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 : n028.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 16:12:07 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 52 ( 20 unt; 0 def)
% Number of atoms : 116 ( 3 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 112 ( 48 ~; 35 |; 18 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 75 ( 63 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f229,plain,
$false,
inference(subsumption_resolution,[],[f225,f220]) ).
fof(f220,plain,
distinct_lines(sF3,sF4),
inference(resolution,[],[f188,f204]) ).
fof(f204,plain,
~ apart_point_and_line(sK0,sF4),
inference(forward_demodulation,[],[f203,f173]) ).
fof(f173,plain,
sF4 = line_connecting(sK0,sK2),
introduced(function_definition,[]) ).
fof(f203,plain,
~ apart_point_and_line(sK0,line_connecting(sK0,sK2)),
inference(resolution,[],[f194,f132]) ).
fof(f132,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X1,line_connecting(X1,X0)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(rectify,[],[f104]) ).
fof(f104,plain,
! [X1,X0] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci1) ).
fof(f194,plain,
distinct_points(sK0,sK2),
inference(resolution,[],[f184,f180]) ).
fof(f180,plain,
~ apart_point_and_line(sK2,sF3),
inference(forward_demodulation,[],[f179,f171]) ).
fof(f171,plain,
sF3 = line_connecting(sK2,sK1),
introduced(function_definition,[]) ).
fof(f179,plain,
~ apart_point_and_line(sK2,line_connecting(sK2,sK1)),
inference(resolution,[],[f132,f135]) ).
fof(f135,plain,
distinct_points(sK2,sK1),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( distinct_points(sK2,sK1)
& apart_point_and_line(sK0,line_connecting(sK2,sK1))
& ( ~ distinct_lines(line_connecting(sK2,sK1),line_connecting(sK0,sK2))
| ~ distinct_lines(line_connecting(sK2,sK1),line_connecting(sK0,sK1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f108,f109]) ).
fof(f109,plain,
( ? [X0,X1,X2] :
( distinct_points(X2,X1)
& apart_point_and_line(X0,line_connecting(X2,X1))
& ( ~ distinct_lines(line_connecting(X2,X1),line_connecting(X0,X2))
| ~ distinct_lines(line_connecting(X2,X1),line_connecting(X0,X1)) ) )
=> ( distinct_points(sK2,sK1)
& apart_point_and_line(sK0,line_connecting(sK2,sK1))
& ( ~ distinct_lines(line_connecting(sK2,sK1),line_connecting(sK0,sK2))
| ~ distinct_lines(line_connecting(sK2,sK1),line_connecting(sK0,sK1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
? [X0,X1,X2] :
( distinct_points(X2,X1)
& apart_point_and_line(X0,line_connecting(X2,X1))
& ( ~ distinct_lines(line_connecting(X2,X1),line_connecting(X0,X2))
| ~ distinct_lines(line_connecting(X2,X1),line_connecting(X0,X1)) ) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
? [X1,X2,X0] :
( distinct_points(X0,X2)
& apart_point_and_line(X1,line_connecting(X0,X2))
& ( ~ distinct_lines(line_connecting(X0,X2),line_connecting(X1,X0))
| ~ distinct_lines(line_connecting(X0,X2),line_connecting(X1,X2)) ) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
? [X1,X0,X2] :
( ( ~ distinct_lines(line_connecting(X0,X2),line_connecting(X1,X0))
| ~ distinct_lines(line_connecting(X0,X2),line_connecting(X1,X2)) )
& apart_point_and_line(X1,line_connecting(X0,X2))
& distinct_points(X0,X2) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
~ ! [X1,X0,X2] :
( ( apart_point_and_line(X1,line_connecting(X0,X2))
& distinct_points(X0,X2) )
=> ( distinct_lines(line_connecting(X0,X2),line_connecting(X1,X2))
& distinct_lines(line_connecting(X0,X2),line_connecting(X1,X0)) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X2,X1] :
( ( distinct_points(X0,X1)
& apart_point_and_line(X2,line_connecting(X0,X1)) )
=> ( distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0))
& distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1)) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X2,X1] :
( ( distinct_points(X0,X1)
& apart_point_and_line(X2,line_connecting(X0,X1)) )
=> ( distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0))
& distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f184,plain,
! [X0] :
( apart_point_and_line(X0,sF3)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f146,f172]) ).
fof(f172,plain,
apart_point_and_line(sK0,sF3),
inference(definition_folding,[],[f134,f171]) ).
fof(f134,plain,
apart_point_and_line(sK0,line_connecting(sK2,sK1)),
inference(cnf_transformation,[],[f110]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,X1)
| distinct_points(X2,X0)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( distinct_points(X2,X0)
| apart_point_and_line(X0,X1)
| ~ apart_point_and_line(X2,X1) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
! [X1,X2,X0] :
( distinct_points(X0,X1)
| apart_point_and_line(X1,X2)
| ~ apart_point_and_line(X0,X2) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X1,X0,X2] :
( distinct_points(X0,X1)
| apart_point_and_line(X1,X2)
| ~ apart_point_and_line(X0,X2) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X1,X0,X2] :
( apart_point_and_line(X0,X2)
=> ( distinct_points(X0,X1)
| apart_point_and_line(X1,X2) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0,X2,X1] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq1) ).
fof(f188,plain,
! [X0] :
( apart_point_and_line(sK0,X0)
| distinct_lines(sF3,X0) ),
inference(resolution,[],[f168,f172]) ).
fof(f168,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0)
| distinct_lines(X2,X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1,X2] :
( apart_point_and_line(X1,X0)
| distinct_lines(X2,X0)
| ~ apart_point_and_line(X1,X2) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X2,X1,X0] :
( apart_point_and_line(X1,X2)
| distinct_lines(X0,X2)
| ~ apart_point_and_line(X1,X0) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0,X2,X1] :
( distinct_lines(X0,X2)
| apart_point_and_line(X1,X2)
| ~ apart_point_and_line(X1,X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X2,X1] :
( apart_point_and_line(X1,X0)
=> ( distinct_lines(X0,X2)
| apart_point_and_line(X1,X2) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X0,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f225,plain,
~ distinct_lines(sF3,sF4),
inference(resolution,[],[f219,f175]) ).
fof(f175,plain,
( ~ distinct_lines(sF3,sF5)
| ~ distinct_lines(sF3,sF4) ),
inference(definition_folding,[],[f133,f174,f171,f173,f171]) ).
fof(f174,plain,
line_connecting(sK0,sK1) = sF5,
introduced(function_definition,[]) ).
fof(f133,plain,
( ~ distinct_lines(line_connecting(sK2,sK1),line_connecting(sK0,sK2))
| ~ distinct_lines(line_connecting(sK2,sK1),line_connecting(sK0,sK1)) ),
inference(cnf_transformation,[],[f110]) ).
fof(f219,plain,
distinct_lines(sF3,sF5),
inference(resolution,[],[f188,f200]) ).
fof(f200,plain,
~ apart_point_and_line(sK0,sF5),
inference(forward_demodulation,[],[f198,f174]) ).
fof(f198,plain,
~ apart_point_and_line(sK0,line_connecting(sK0,sK1)),
inference(resolution,[],[f193,f132]) ).
fof(f193,plain,
distinct_points(sK0,sK1),
inference(resolution,[],[f184,f182]) ).
fof(f182,plain,
~ apart_point_and_line(sK1,sF3),
inference(forward_demodulation,[],[f181,f171]) ).
fof(f181,plain,
~ apart_point_and_line(sK1,line_connecting(sK2,sK1)),
inference(resolution,[],[f154,f135]) ).
fof(f154,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X1,X0] :
( distinct_points(X1,X0)
=> ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO179+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 21:33:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (25534)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.49 % (25527)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)
% 0.19/0.49 % (25534)Instruction limit reached!
% 0.19/0.49 % (25534)------------------------------
% 0.19/0.49 % (25534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (25534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (25534)Termination reason: Unknown
% 0.19/0.49 % (25534)Termination phase: Blocked clause elimination
% 0.19/0.49
% 0.19/0.49 % (25534)Memory used [KB]: 895
% 0.19/0.49 % (25534)Time elapsed: 0.003 s
% 0.19/0.49 % (25534)Instructions burned: 2 (million)
% 0.19/0.49 % (25534)------------------------------
% 0.19/0.49 % (25534)------------------------------
% 0.19/0.50 % (25530)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (25527)Refutation not found, incomplete strategy% (25527)------------------------------
% 0.19/0.50 % (25527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (25527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (25527)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (25527)Memory used [KB]: 5500
% 0.19/0.50 % (25527)Time elapsed: 0.103 s
% 0.19/0.50 % (25527)Instructions burned: 4 (million)
% 0.19/0.50 % (25527)------------------------------
% 0.19/0.50 % (25527)------------------------------
% 0.19/0.50 % (25541)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.50 % (25541)First to succeed.
% 0.19/0.51 % (25541)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (25541)------------------------------
% 0.19/0.51 % (25541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (25541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (25541)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (25541)Memory used [KB]: 1023
% 0.19/0.51 % (25541)Time elapsed: 0.110 s
% 0.19/0.51 % (25541)Instructions burned: 6 (million)
% 0.19/0.51 % (25541)------------------------------
% 0.19/0.51 % (25541)------------------------------
% 0.19/0.51 % (25525)Success in time 0.162 s
%------------------------------------------------------------------------------