TSTP Solution File: GEO208+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO208+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_uns --cores 0 -t %d %s
% Computer : n022.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 16:09:14 EDT 2022
% Result : Theorem 1.25s 0.52s
% Output : Refutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 5 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 71 ( 24 ~; 11 |; 27 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 47 ( 35 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f142,plain,
$false,
inference(unit_resulting_resolution,[],[f139,f140,f127]) ).
fof(f127,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
! [X1,X0] :
( convergent_lines(X1,X0)
| ~ distinct_lines(X1,X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X1,X0] :
( distinct_lines(X1,X0)
=> convergent_lines(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f140,plain,
distinct_lines(sK0,sK2),
inference(resolution,[],[f125,f118]) ).
fof(f118,plain,
! [X0,X1] :
( equal_lines(X1,X0)
| distinct_lines(X1,X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ( ~ distinct_lines(X1,X0)
| ~ equal_lines(X1,X0) )
& ( equal_lines(X1,X0)
| distinct_lines(X1,X0) ) ),
inference(rectify,[],[f91]) ).
fof(f91,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/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f125,plain,
~ equal_lines(sK0,sK2),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( incident_point_and_line(sK1,sK0)
& ~ equal_lines(sK0,sK2)
& parallel_lines(sK0,sK2)
& incident_point_and_line(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f95,f96]) ).
fof(f96,plain,
( ? [X0,X1,X2] :
( incident_point_and_line(X1,X0)
& ~ equal_lines(X0,X2)
& parallel_lines(X0,X2)
& incident_point_and_line(X1,X2) )
=> ( incident_point_and_line(sK1,sK0)
& ~ equal_lines(sK0,sK2)
& parallel_lines(sK0,sK2)
& incident_point_and_line(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
? [X0,X1,X2] :
( incident_point_and_line(X1,X0)
& ~ equal_lines(X0,X2)
& parallel_lines(X0,X2)
& incident_point_and_line(X1,X2) ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
? [X0,X2,X1] :
( incident_point_and_line(X2,X0)
& ~ equal_lines(X0,X1)
& parallel_lines(X0,X1)
& incident_point_and_line(X2,X1) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
? [X2,X1,X0] :
( ~ equal_lines(X0,X1)
& incident_point_and_line(X2,X0)
& incident_point_and_line(X2,X1)
& parallel_lines(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X2,X1,X0] :
( ( incident_point_and_line(X2,X0)
& incident_point_and_line(X2,X1)
& parallel_lines(X0,X1) )
=> equal_lines(X0,X1) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X1,X2,X0] :
( ( parallel_lines(X1,X2)
& incident_point_and_line(X0,X2)
& incident_point_and_line(X0,X1) )
=> equal_lines(X1,X2) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X1,X2,X0] :
( ( parallel_lines(X1,X2)
& incident_point_and_line(X0,X2)
& incident_point_and_line(X0,X1) )
=> equal_lines(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f139,plain,
~ convergent_lines(sK0,sK2),
inference(resolution,[],[f124,f122]) ).
fof(f122,plain,
! [X0,X1] :
( ~ parallel_lines(X1,X0)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( ( ~ convergent_lines(X1,X0)
| ~ parallel_lines(X1,X0) )
& ( parallel_lines(X1,X0)
| convergent_lines(X1,X0) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ~ 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/sandbox2/benchmark/theBenchmark.p',a3) ).
fof(f124,plain,
parallel_lines(sK0,sK2),
inference(cnf_transformation,[],[f97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO208+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n022.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 21:29:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (28616)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.25/0.51 % (28624)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)
% 1.25/0.51 % (28636)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.25/0.52 % (28628)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.25/0.52 % (28636)First to succeed.
% 1.25/0.52 % (28627)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.25/0.52 % (28632)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.25/0.52 % (28616)Refutation not found, incomplete strategy% (28616)------------------------------
% 1.25/0.52 % (28616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.52 % (28616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.52 % (28616)Termination reason: Refutation not found, incomplete strategy
% 1.25/0.52
% 1.25/0.52 % (28616)Memory used [KB]: 5884
% 1.25/0.52 % (28616)Time elapsed: 0.003 s
% 1.25/0.52 % (28616)Instructions burned: 1 (million)
% 1.25/0.52 % (28616)------------------------------
% 1.25/0.52 % (28616)------------------------------
% 1.25/0.52 % (28627)Instruction limit reached!
% 1.25/0.52 % (28627)------------------------------
% 1.25/0.52 % (28627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.52 % (28627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.52 % (28627)Termination reason: Unknown
% 1.25/0.52 % (28627)Termination phase: Saturation
% 1.25/0.52
% 1.25/0.52 % (28627)Memory used [KB]: 6012
% 1.25/0.52 % (28627)Time elapsed: 0.122 s
% 1.25/0.52 % (28627)Instructions burned: 4 (million)
% 1.25/0.52 % (28627)------------------------------
% 1.25/0.52 % (28627)------------------------------
% 1.25/0.52 % (28636)Refutation found. Thanks to Tanya!
% 1.25/0.52 % SZS status Theorem for theBenchmark
% 1.25/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.25/0.52 % (28636)------------------------------
% 1.25/0.52 % (28636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.52 % (28636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.52 % (28636)Termination reason: Refutation
% 1.25/0.52
% 1.25/0.52 % (28636)Memory used [KB]: 1535
% 1.25/0.52 % (28636)Time elapsed: 0.062 s
% 1.25/0.52 % (28636)Instructions burned: 2 (million)
% 1.25/0.52 % (28636)------------------------------
% 1.25/0.52 % (28636)------------------------------
% 1.25/0.52 % (28612)Success in time 0.172 s
%------------------------------------------------------------------------------