TSTP Solution File: GEO231+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO231+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 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 16:12:24 EDT 2022
% Result : Theorem 1.37s 0.52s
% Output : Refutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 64 ( 15 unt; 0 def)
% Number of atoms : 147 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 156 ( 73 ~; 53 |; 19 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 75 ( 63 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f370,plain,
$false,
inference(avatar_sat_refutation,[],[f220,f275,f289,f369]) ).
fof(f369,plain,
~ spl5_9,
inference(avatar_contradiction_clause,[],[f368]) ).
fof(f368,plain,
( $false
| ~ spl5_9 ),
inference(subsumption_resolution,[],[f367,f123]) ).
fof(f123,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1] : ~ unequally_directed_lines(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag5) ).
fof(f367,plain,
( unequally_directed_lines(sK1,sK1)
| ~ spl5_9 ),
inference(subsumption_resolution,[],[f362,f122]) ).
fof(f122,plain,
~ unequally_directed_lines(sK0,sK2),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ~ unequally_directed_lines(sK0,sK2)
& ~ unequally_directed_lines(sK0,reverse_line(sK1))
& unequally_directed_lines(sK1,reverse_line(sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f102,f103]) ).
fof(f103,plain,
( ? [X0,X1,X2] :
( ~ unequally_directed_lines(X0,X2)
& ~ unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X1,reverse_line(X2)) )
=> ( ~ unequally_directed_lines(sK0,sK2)
& ~ unequally_directed_lines(sK0,reverse_line(sK1))
& unequally_directed_lines(sK1,reverse_line(sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
? [X0,X1,X2] :
( ~ unequally_directed_lines(X0,X2)
& ~ unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X1,reverse_line(X2)) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
? [X2,X0,X1] :
( ~ unequally_directed_lines(X2,X1)
& ~ unequally_directed_lines(X2,reverse_line(X0))
& unequally_directed_lines(X0,reverse_line(X1)) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
? [X0,X1,X2] :
( unequally_directed_lines(X0,reverse_line(X1))
& ~ unequally_directed_lines(X2,X1)
& ~ unequally_directed_lines(X2,reverse_line(X0)) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
~ ! [X0,X1,X2] :
( ( ~ unequally_directed_lines(X2,X1)
& ~ unequally_directed_lines(X2,reverse_line(X0)) )
=> ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X2,X5,X1] :
( ( ~ unequally_directed_lines(X1,X5)
& ~ unequally_directed_lines(X1,reverse_line(X2)) )
=> ~ unequally_directed_lines(X2,reverse_line(X5)) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X2,X5,X1] :
( ( ~ unequally_directed_lines(X1,X5)
& ~ unequally_directed_lines(X1,reverse_line(X2)) )
=> ~ unequally_directed_lines(X2,reverse_line(X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f362,plain,
( unequally_directed_lines(sK0,sK2)
| unequally_directed_lines(sK1,sK1)
| ~ spl5_9 ),
inference(resolution,[],[f290,f281]) ).
fof(f281,plain,
! [X7] :
( ~ unequally_directed_lines(X7,sK2)
| unequally_directed_lines(sK1,X7) ),
inference(subsumption_resolution,[],[f256,f123]) ).
fof(f256,plain,
! [X7] :
( unequally_directed_lines(sF4,sF4)
| unequally_directed_lines(sK1,X7)
| ~ unequally_directed_lines(X7,sK2) ),
inference(resolution,[],[f205,f201]) ).
fof(f201,plain,
! [X1] :
( ~ unequally_directed_lines(X1,sF4)
| ~ unequally_directed_lines(X1,sK2) ),
inference(superposition,[],[f175,f157]) ).
fof(f157,plain,
reverse_line(sK2) = sF4,
introduced(function_definition,[]) ).
fof(f175,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(subsumption_resolution,[],[f174,f133]) ).
fof(f133,plain,
! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,reverse_line(X1))
& ~ left_convergent_lines(X0,X1) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X1,X0] :
( ~ left_convergent_lines(X1,reverse_line(X0))
& ~ left_convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X1,X0] :
~ ( left_convergent_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,X0) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X2,X1] :
~ ( left_convergent_lines(X1,X2)
| left_convergent_lines(X1,reverse_line(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag11) ).
fof(f174,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(subsumption_resolution,[],[f117,f132]) ).
fof(f132,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f107]) ).
fof(f117,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,reverse_line(X1)) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X1,X0] :
( left_convergent_lines(X1,X0)
| ~ unequally_directed_lines(X1,X0)
| ~ unequally_directed_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,reverse_line(X0)) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X1,X0] :
( left_convergent_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( ( unequally_directed_lines(X1,reverse_line(X0))
& unequally_directed_lines(X1,X0) )
=> ( left_convergent_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0)) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X2,X1] :
( ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) )
=> ( left_convergent_lines(X1,X2)
| left_convergent_lines(X1,reverse_line(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag9) ).
fof(f205,plain,
! [X0,X1] :
( unequally_directed_lines(sF4,X1)
| unequally_directed_lines(sK1,X0)
| unequally_directed_lines(X0,X1) ),
inference(resolution,[],[f203,f127]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X1,X0)
| unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,X0)
| unequally_directed_lines(X0,X2) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X1,X2,X0] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X1,X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X1,X2,X0] :
( unequally_directed_lines(X1,X0)
=> ( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X2,X1,X5] :
( unequally_directed_lines(X1,X2)
=> ( unequally_directed_lines(X1,X5)
| unequally_directed_lines(X2,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag6) ).
fof(f203,plain,
! [X0] :
( unequally_directed_lines(sF4,X0)
| unequally_directed_lines(sK1,X0) ),
inference(resolution,[],[f127,f158]) ).
fof(f158,plain,
unequally_directed_lines(sK1,sF4),
inference(definition_folding,[],[f120,f157]) ).
fof(f120,plain,
unequally_directed_lines(sK1,reverse_line(sK2)),
inference(cnf_transformation,[],[f104]) ).
fof(f290,plain,
( ! [X0] :
( unequally_directed_lines(sK1,X0)
| unequally_directed_lines(sK0,X0) )
| ~ spl5_9 ),
inference(resolution,[],[f270,f127]) ).
fof(f270,plain,
( unequally_directed_lines(sK1,sK0)
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f268,plain,
( spl5_9
<=> unequally_directed_lines(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
fof(f289,plain,
( ~ spl5_7
| ~ spl5_10 ),
inference(avatar_contradiction_clause,[],[f288]) ).
fof(f288,plain,
( $false
| ~ spl5_7
| ~ spl5_10 ),
inference(subsumption_resolution,[],[f284,f211]) ).
fof(f211,plain,
( unequally_directed_lines(sF4,sK1)
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f210,plain,
( spl5_7
<=> unequally_directed_lines(sF4,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f284,plain,
( ~ unequally_directed_lines(sF4,sK1)
| ~ spl5_10 ),
inference(resolution,[],[f274,f200]) ).
fof(f200,plain,
! [X0] :
( ~ unequally_directed_lines(X0,sF3)
| ~ unequally_directed_lines(X0,sK1) ),
inference(superposition,[],[f175,f155]) ).
fof(f155,plain,
sF3 = reverse_line(sK1),
introduced(function_definition,[]) ).
fof(f274,plain,
( unequally_directed_lines(sF4,sF3)
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f272,plain,
( spl5_10
<=> unequally_directed_lines(sF4,sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
fof(f275,plain,
( spl5_9
| spl5_10 ),
inference(avatar_split_clause,[],[f260,f272,f268]) ).
fof(f260,plain,
( unequally_directed_lines(sF4,sF3)
| unequally_directed_lines(sK1,sK0) ),
inference(resolution,[],[f205,f156]) ).
fof(f156,plain,
~ unequally_directed_lines(sK0,sF3),
inference(definition_folding,[],[f121,f155]) ).
fof(f121,plain,
~ unequally_directed_lines(sK0,reverse_line(sK1)),
inference(cnf_transformation,[],[f104]) ).
fof(f220,plain,
spl5_7,
inference(avatar_contradiction_clause,[],[f219]) ).
fof(f219,plain,
( $false
| spl5_7 ),
inference(subsumption_resolution,[],[f218,f123]) ).
fof(f218,plain,
( unequally_directed_lines(sK1,sK1)
| spl5_7 ),
inference(resolution,[],[f212,f203]) ).
fof(f212,plain,
( ~ unequally_directed_lines(sF4,sK1)
| spl5_7 ),
inference(avatar_component_clause,[],[f210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO231+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.07/0.13 % 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 : n028.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 21:41:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (22906)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.49 % (22890)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.50 % (22898)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 % (22889)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (22898)First to succeed.
% 0.20/0.52 % (22901)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.37/0.52 % (22914)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.37/0.52 % (22912)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.37/0.52 % (22898)Refutation found. Thanks to Tanya!
% 1.37/0.52 % SZS status Theorem for theBenchmark
% 1.37/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.37/0.52 % (22898)------------------------------
% 1.37/0.52 % (22898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.52 % (22898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.52 % (22898)Termination reason: Refutation
% 1.37/0.52
% 1.37/0.52 % (22898)Memory used [KB]: 5500
% 1.37/0.52 % (22898)Time elapsed: 0.112 s
% 1.37/0.52 % (22898)Instructions burned: 7 (million)
% 1.37/0.52 % (22898)------------------------------
% 1.37/0.52 % (22898)------------------------------
% 1.37/0.52 % (22884)Success in time 0.176 s
%------------------------------------------------------------------------------