TSTP Solution File: GEO620+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO620+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 May 31 12:09:20 EDT 2023
% Result : Theorem 0.13s 0.43s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 18
% Syntax : Number of formulae : 154 ( 37 unt; 0 def)
% Number of atoms : 339 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 301 ( 116 ~; 117 |; 49 &)
% ( 14 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 15 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 119 (; 103 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B,C,D] :
( ( coll(A,B,C)
& coll(A,B,D) )
=> coll(C,D,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [A,B,C,O,I,E,J,L] :
( ( eqangle(O,A,A,B,O,A,A,C)
& eqangle(O,B,B,C,O,B,B,A)
& eqangle(O,C,C,A,O,C,C,B)
& perp(I,C,A,O)
& coll(I,A,O)
& perp(A,O,A,E)
& perp(J,C,A,E)
& coll(J,A,E)
& perp(L,C,B,O)
& coll(L,B,O) )
=> coll(I,L,J) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,O,I,E,J,L] :
( ( eqangle(O,A,A,B,O,A,A,C)
& eqangle(O,B,B,C,O,B,B,A)
& eqangle(O,C,C,A,O,C,C,B)
& perp(I,C,A,O)
& coll(I,A,O)
& perp(A,O,A,E)
& perp(J,C,A,E)
& coll(J,A,E)
& perp(L,C,B,O)
& coll(L,B,O) )
=> coll(I,L,J) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f97,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(pre_NNF_transformation,[status(esa)],[f1]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[status(esa)],[f97]) ).
fof(f99,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f99]) ).
fof(f101,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f102,plain,
! [A,C,D] :
( ! [B] :
( ~ coll(A,B,C)
| ~ coll(A,B,D) )
| coll(C,D,A) ),
inference(miniscoping,[status(esa)],[f101]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[status(esa)],[f102]) ).
fof(f369,plain,
? [A,B,C,O,I,E,J,L] :
( eqangle(O,A,A,B,O,A,A,C)
& eqangle(O,B,B,C,O,B,B,A)
& eqangle(O,C,C,A,O,C,C,B)
& perp(I,C,A,O)
& coll(I,A,O)
& perp(A,O,A,E)
& perp(J,C,A,E)
& coll(J,A,E)
& perp(L,C,B,O)
& coll(L,B,O)
& ~ coll(I,L,J) ),
inference(pre_NNF_transformation,[status(esa)],[f96]) ).
fof(f370,plain,
? [I,J,L] :
( ? [B,O] :
( ? [C] :
( ? [A,E] :
( eqangle(O,A,A,B,O,A,A,C)
& eqangle(O,B,B,C,O,B,B,A)
& eqangle(O,C,C,A,O,C,C,B)
& perp(I,C,A,O)
& coll(I,A,O)
& perp(A,O,A,E)
& perp(J,C,A,E)
& coll(J,A,E) )
& perp(L,C,B,O) )
& coll(L,B,O) )
& ~ coll(I,L,J) ),
inference(miniscoping,[status(esa)],[f369]) ).
fof(f371,plain,
( eqangle(sk0_24,sk0_26,sk0_26,sk0_23,sk0_24,sk0_26,sk0_26,sk0_25)
& eqangle(sk0_24,sk0_23,sk0_23,sk0_25,sk0_24,sk0_23,sk0_23,sk0_26)
& eqangle(sk0_24,sk0_25,sk0_25,sk0_26,sk0_24,sk0_25,sk0_25,sk0_23)
& perp(sk0_20,sk0_25,sk0_26,sk0_24)
& coll(sk0_20,sk0_26,sk0_24)
& perp(sk0_26,sk0_24,sk0_26,sk0_27)
& perp(sk0_21,sk0_25,sk0_26,sk0_27)
& coll(sk0_21,sk0_26,sk0_27)
& perp(sk0_22,sk0_25,sk0_23,sk0_24)
& coll(sk0_22,sk0_23,sk0_24)
& ~ coll(sk0_20,sk0_22,sk0_21) ),
inference(skolemization,[status(esa)],[f370]) ).
fof(f376,plain,
coll(sk0_20,sk0_26,sk0_24),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f379,plain,
coll(sk0_21,sk0_26,sk0_27),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f381,plain,
coll(sk0_22,sk0_23,sk0_24),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f382,plain,
~ coll(sk0_20,sk0_22,sk0_21),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f383,plain,
~ coll(sk0_20,sk0_21,sk0_22),
inference(resolution,[status(thm)],[f98,f382]) ).
fof(f385,plain,
~ coll(sk0_21,sk0_20,sk0_22),
inference(resolution,[status(thm)],[f100,f383]) ).
fof(f395,plain,
! [X0] :
( ~ coll(sk0_22,sk0_23,X0)
| coll(X0,sk0_24,sk0_22) ),
inference(resolution,[status(thm)],[f103,f381]) ).
fof(f397,plain,
! [X0] :
( ~ coll(sk0_20,sk0_26,X0)
| coll(X0,sk0_24,sk0_20) ),
inference(resolution,[status(thm)],[f103,f376]) ).
fof(f398,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X2)
| coll(X2,X3,X0)
| ~ coll(X1,X0,X3) ),
inference(resolution,[status(thm)],[f103,f100]) ).
fof(f399,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X2)
| coll(X2,X3,X0)
| ~ coll(X0,X3,X1) ),
inference(resolution,[status(thm)],[f103,f98]) ).
fof(f406,plain,
! [X0,X1] :
( ~ coll(sk0_22,sk0_23,X0)
| ~ coll(X0,sk0_24,X1)
| coll(X1,sk0_22,X0) ),
inference(resolution,[status(thm)],[f395,f103]) ).
fof(f408,plain,
! [X0,X1] :
( ~ coll(sk0_20,sk0_26,X0)
| ~ coll(X0,sk0_24,X1)
| coll(X1,sk0_20,X0) ),
inference(resolution,[status(thm)],[f397,f103]) ).
fof(f409,plain,
! [X0] :
( ~ coll(sk0_24,sk0_24,X0)
| coll(X0,sk0_22,sk0_24) ),
inference(resolution,[status(thm)],[f406,f381]) ).
fof(f417,plain,
! [X0] :
( ~ coll(sk0_24,sk0_24,X0)
| coll(X0,sk0_20,sk0_24) ),
inference(resolution,[status(thm)],[f408,f376]) ).
fof(f424,plain,
( spl0_1
<=> coll(sk0_24,sk0_24,sk0_23) ),
introduced(split_symbol_definition) ).
fof(f426,plain,
( ~ coll(sk0_24,sk0_24,sk0_23)
| spl0_1 ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f442,plain,
( spl0_3
<=> coll(sk0_27,sk0_27,sk0_26) ),
introduced(split_symbol_definition) ).
fof(f444,plain,
( ~ coll(sk0_27,sk0_27,sk0_26)
| spl0_3 ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f507,plain,
( spl0_11
<=> coll(sk0_24,sk0_24,sk0_26) ),
introduced(split_symbol_definition) ).
fof(f509,plain,
( ~ coll(sk0_24,sk0_24,sk0_26)
| spl0_11 ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f556,plain,
( spl0_18
<=> coll(sk0_22,sk0_23,sk0_24) ),
introduced(split_symbol_definition) ).
fof(f558,plain,
( ~ coll(sk0_22,sk0_23,sk0_24)
| spl0_18 ),
inference(component_clause,[status(thm)],[f556]) ).
fof(f563,plain,
( $false
| spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f558,f381]) ).
fof(f564,plain,
spl0_18,
inference(contradiction_clause,[status(thm)],[f563]) ).
fof(f579,plain,
! [X0] :
( ~ coll(sk0_23,sk0_22,X0)
| coll(X0,sk0_24,sk0_23) ),
inference(resolution,[status(thm)],[f398,f381]) ).
fof(f580,plain,
! [X0] :
( ~ coll(sk0_26,sk0_21,X0)
| coll(X0,sk0_27,sk0_26) ),
inference(resolution,[status(thm)],[f398,f379]) ).
fof(f581,plain,
! [X0] :
( ~ coll(sk0_26,sk0_20,X0)
| coll(X0,sk0_24,sk0_26) ),
inference(resolution,[status(thm)],[f398,f376]) ).
fof(f593,plain,
! [X0] :
( coll(X0,sk0_24,sk0_23)
| ~ coll(sk0_22,sk0_23,X0) ),
inference(resolution,[status(thm)],[f579,f100]) ).
fof(f597,plain,
! [X0] :
( coll(X0,sk0_27,sk0_26)
| ~ coll(sk0_21,sk0_26,X0) ),
inference(resolution,[status(thm)],[f580,f100]) ).
fof(f601,plain,
! [X0] :
( coll(X0,sk0_24,sk0_26)
| ~ coll(sk0_20,sk0_26,X0) ),
inference(resolution,[status(thm)],[f581,f100]) ).
fof(f603,plain,
coll(sk0_24,sk0_24,sk0_23),
inference(resolution,[status(thm)],[f593,f381]) ).
fof(f604,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f603,f426]) ).
fof(f605,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f604]) ).
fof(f615,plain,
coll(sk0_27,sk0_27,sk0_26),
inference(resolution,[status(thm)],[f597,f379]) ).
fof(f619,plain,
! [X0] :
( ~ coll(sk0_27,sk0_27,X0)
| coll(X0,sk0_26,sk0_27) ),
inference(resolution,[status(thm)],[f615,f398]) ).
fof(f627,plain,
coll(sk0_24,sk0_24,sk0_26),
inference(resolution,[status(thm)],[f601,f376]) ).
fof(f628,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f627,f509]) ).
fof(f629,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f628]) ).
fof(f633,plain,
! [X0] :
( ~ coll(sk0_24,sk0_24,X0)
| coll(X0,sk0_26,sk0_24) ),
inference(resolution,[status(thm)],[f627,f398]) ).
fof(f641,plain,
( spl0_20
<=> coll(sk0_24,sk0_24,sk0_22) ),
introduced(split_symbol_definition) ).
fof(f654,plain,
coll(sk0_26,sk0_26,sk0_27),
inference(resolution,[status(thm)],[f619,f615]) ).
fof(f662,plain,
! [X0] :
( ~ coll(sk0_26,sk0_26,X0)
| coll(X0,sk0_27,sk0_26) ),
inference(resolution,[status(thm)],[f654,f398]) ).
fof(f670,plain,
coll(sk0_26,sk0_26,sk0_24),
inference(resolution,[status(thm)],[f633,f627]) ).
fof(f671,plain,
coll(sk0_23,sk0_26,sk0_24),
inference(resolution,[status(thm)],[f633,f603]) ).
fof(f674,plain,
( spl0_21
<=> coll(sk0_22,sk0_26,sk0_24) ),
introduced(split_symbol_definition) ).
fof(f675,plain,
( coll(sk0_22,sk0_26,sk0_24)
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,plain,
( coll(sk0_22,sk0_26,sk0_24)
| ~ coll(sk0_22,sk0_23,sk0_24) ),
inference(resolution,[status(thm)],[f633,f395]) ).
fof(f678,plain,
( spl0_21
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f677,f674,f556]) ).
fof(f687,plain,
! [X0] :
( ~ coll(sk0_22,sk0_26,X0)
| coll(X0,sk0_24,sk0_22)
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f675,f103]) ).
fof(f714,plain,
( spl0_23
<=> coll(sk0_24,sk0_24,sk0_24) ),
introduced(split_symbol_definition) ).
fof(f716,plain,
( ~ coll(sk0_24,sk0_24,sk0_24)
| spl0_23 ),
inference(component_clause,[status(thm)],[f714]) ).
fof(f725,plain,
! [X0] :
( coll(X0,sk0_24,sk0_22)
| ~ coll(sk0_26,sk0_22,X0)
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f687,f100]) ).
fof(f756,plain,
( coll(sk0_24,sk0_24,sk0_22)
| ~ coll(sk0_24,sk0_24,sk0_26)
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f725,f409]) ).
fof(f757,plain,
( spl0_20
| ~ spl0_11
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f756,f641,f507,f674]) ).
fof(f764,plain,
( spl0_27
<=> coll(sk0_22,sk0_23,sk0_20) ),
introduced(split_symbol_definition) ).
fof(f766,plain,
( ~ coll(sk0_22,sk0_23,sk0_20)
| spl0_27 ),
inference(component_clause,[status(thm)],[f764]) ).
fof(f795,plain,
! [X0] :
( ~ coll(sk0_26,sk0_26,X0)
| coll(X0,sk0_24,sk0_26) ),
inference(resolution,[status(thm)],[f670,f398]) ).
fof(f797,plain,
! [X0] :
( ~ coll(sk0_26,sk0_23,X0)
| coll(X0,sk0_24,sk0_26) ),
inference(resolution,[status(thm)],[f671,f398]) ).
fof(f808,plain,
( spl0_28
<=> coll(sk0_27,sk0_27,sk0_27) ),
introduced(split_symbol_definition) ).
fof(f810,plain,
( ~ coll(sk0_27,sk0_27,sk0_27)
| spl0_28 ),
inference(component_clause,[status(thm)],[f808]) ).
fof(f815,plain,
coll(sk0_24,sk0_27,sk0_26),
inference(resolution,[status(thm)],[f662,f670]) ).
fof(f819,plain,
! [X0] :
( ~ coll(sk0_27,sk0_24,X0)
| coll(X0,sk0_26,sk0_27) ),
inference(resolution,[status(thm)],[f815,f398]) ).
fof(f820,plain,
! [X0] :
( ~ coll(sk0_24,sk0_27,X0)
| coll(X0,sk0_26,sk0_24) ),
inference(resolution,[status(thm)],[f815,f103]) ).
fof(f836,plain,
coll(sk0_27,sk0_24,sk0_26),
inference(resolution,[status(thm)],[f795,f654]) ).
fof(f844,plain,
! [X0] :
( coll(X0,sk0_24,sk0_26)
| ~ coll(sk0_26,X0,sk0_23) ),
inference(resolution,[status(thm)],[f797,f98]) ).
fof(f867,plain,
! [X0] :
( coll(X0,sk0_26,sk0_27)
| ~ coll(sk0_27,X0,sk0_24) ),
inference(resolution,[status(thm)],[f819,f98]) ).
fof(f908,plain,
! [X0] :
( coll(X0,sk0_24,sk0_26)
| ~ coll(X0,sk0_26,sk0_23) ),
inference(resolution,[status(thm)],[f844,f100]) ).
fof(f936,plain,
( spl0_36
<=> coll(sk0_24,sk0_24,sk0_27) ),
introduced(split_symbol_definition) ).
fof(f938,plain,
( ~ coll(sk0_24,sk0_24,sk0_27)
| spl0_36 ),
inference(component_clause,[status(thm)],[f936]) ).
fof(f948,plain,
( ~ coll(sk0_24,sk0_27,sk0_24)
| spl0_36 ),
inference(resolution,[status(thm)],[f938,f98]) ).
fof(f960,plain,
( spl0_37
<=> coll(sk0_27,sk0_27,sk0_24) ),
introduced(split_symbol_definition) ).
fof(f962,plain,
( ~ coll(sk0_27,sk0_27,sk0_24)
| spl0_37 ),
inference(component_clause,[status(thm)],[f960]) ).
fof(f1019,plain,
! [X0] :
( ~ coll(sk0_23,sk0_24,X0)
| coll(X0,sk0_26,sk0_23) ),
inference(resolution,[status(thm)],[f399,f671]) ).
fof(f1020,plain,
! [X0] :
( ~ coll(sk0_26,sk0_24,X0)
| coll(X0,sk0_26,sk0_26) ),
inference(resolution,[status(thm)],[f399,f670]) ).
fof(f1021,plain,
! [X0] :
( ~ coll(sk0_26,sk0_27,X0)
| coll(X0,sk0_26,sk0_26) ),
inference(resolution,[status(thm)],[f399,f654]) ).
fof(f1022,plain,
! [X0] :
( ~ coll(sk0_24,sk0_26,X0)
| coll(X0,sk0_27,sk0_24) ),
inference(resolution,[status(thm)],[f399,f815]) ).
fof(f1025,plain,
! [X0] :
( ~ coll(sk0_24,sk0_26,X0)
| coll(X0,sk0_24,sk0_24) ),
inference(resolution,[status(thm)],[f399,f627]) ).
fof(f1027,plain,
! [X0] :
( ~ coll(sk0_27,sk0_26,X0)
| coll(X0,sk0_24,sk0_27) ),
inference(resolution,[status(thm)],[f399,f836]) ).
fof(f1028,plain,
! [X0] :
( ~ coll(sk0_27,sk0_26,X0)
| coll(X0,sk0_27,sk0_27) ),
inference(resolution,[status(thm)],[f399,f615]) ).
fof(f1030,plain,
! [X0] :
( ~ coll(sk0_22,sk0_24,X0)
| coll(X0,sk0_26,sk0_22)
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f399,f675]) ).
fof(f1031,plain,
! [X0] :
( ~ coll(sk0_22,sk0_24,X0)
| coll(X0,sk0_23,sk0_22) ),
inference(resolution,[status(thm)],[f399,f381]) ).
fof(f1032,plain,
! [X0] :
( ~ coll(sk0_21,sk0_27,X0)
| coll(X0,sk0_26,sk0_21) ),
inference(resolution,[status(thm)],[f399,f379]) ).
fof(f1033,plain,
! [X0] :
( ~ coll(sk0_20,sk0_24,X0)
| coll(X0,sk0_26,sk0_20) ),
inference(resolution,[status(thm)],[f399,f376]) ).
fof(f1049,plain,
( spl0_39
<=> coll(sk0_22,sk0_26,sk0_23) ),
introduced(split_symbol_definition) ).
fof(f1050,plain,
( coll(sk0_22,sk0_26,sk0_23)
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f1049]) ).
fof(f1055,plain,
! [X0] :
( coll(X0,sk0_26,sk0_23)
| ~ coll(sk0_23,X0,sk0_24) ),
inference(resolution,[status(thm)],[f1019,f98]) ).
fof(f1069,plain,
! [X0] :
( coll(X0,sk0_26,sk0_26)
| ~ coll(sk0_26,X0,sk0_24) ),
inference(resolution,[status(thm)],[f1020,f98]) ).
fof(f1076,plain,
! [X0] :
( coll(X0,sk0_27,sk0_24)
| ~ coll(sk0_26,sk0_24,X0) ),
inference(resolution,[status(thm)],[f1022,f100]) ).
fof(f1088,plain,
( spl0_41
<=> coll(sk0_20,sk0_23,sk0_22) ),
introduced(split_symbol_definition) ).
fof(f1089,plain,
( coll(sk0_20,sk0_23,sk0_22)
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f1088]) ).
fof(f1096,plain,
! [X0] :
( coll(X0,sk0_23,sk0_22)
| ~ coll(sk0_22,X0,sk0_24) ),
inference(resolution,[status(thm)],[f1031,f98]) ).
fof(f1102,plain,
! [X0] :
( coll(X0,sk0_26,sk0_21)
| ~ coll(sk0_21,X0,sk0_27) ),
inference(resolution,[status(thm)],[f1032,f98]) ).
fof(f1108,plain,
( spl0_43
<=> coll(sk0_22,sk0_26,sk0_20) ),
introduced(split_symbol_definition) ).
fof(f1109,plain,
( coll(sk0_22,sk0_26,sk0_20)
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f1108]) ).
fof(f1111,plain,
( coll(sk0_22,sk0_26,sk0_20)
| ~ coll(sk0_22,sk0_23,sk0_20) ),
inference(resolution,[status(thm)],[f1033,f395]) ).
fof(f1112,plain,
( spl0_43
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f1111,f1108,f764]) ).
fof(f1122,plain,
coll(sk0_26,sk0_26,sk0_23),
inference(resolution,[status(thm)],[f1055,f671]) ).
fof(f1130,plain,
( coll(sk0_22,sk0_26,sk0_23)
| ~ coll(sk0_24,sk0_24,sk0_23) ),
inference(resolution,[status(thm)],[f1055,f409]) ).
fof(f1131,plain,
( spl0_39
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1130,f1049,f424]) ).
fof(f1137,plain,
coll(sk0_26,sk0_24,sk0_26),
inference(resolution,[status(thm)],[f1122,f844]) ).
fof(f1160,plain,
( ~ coll(sk0_23,sk0_22,sk0_20)
| spl0_27 ),
inference(resolution,[status(thm)],[f766,f100]) ).
fof(f1167,plain,
( coll(sk0_22,sk0_24,sk0_26)
| ~ spl0_39 ),
inference(resolution,[status(thm)],[f1050,f908]) ).
fof(f1202,plain,
( ~ coll(sk0_23,sk0_20,sk0_22)
| spl0_27 ),
inference(resolution,[status(thm)],[f1160,f98]) ).
fof(f1239,plain,
( coll(sk0_26,sk0_26,sk0_22)
| ~ spl0_39
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f1167,f1030]) ).
fof(f1276,plain,
( ~ coll(sk0_20,sk0_23,sk0_22)
| spl0_27 ),
inference(resolution,[status(thm)],[f1202,f100]) ).
fof(f1369,plain,
coll(sk0_26,sk0_27,sk0_24),
inference(resolution,[status(thm)],[f1076,f1137]) ).
fof(f1390,plain,
coll(sk0_24,sk0_26,sk0_26),
inference(resolution,[status(thm)],[f1369,f1021]) ).
fof(f1391,plain,
coll(sk0_27,sk0_26,sk0_26),
inference(resolution,[status(thm)],[f1369,f1069]) ).
fof(f1398,plain,
coll(sk0_26,sk0_24,sk0_24),
inference(resolution,[status(thm)],[f1390,f1025]) ).
fof(f1407,plain,
coll(sk0_26,sk0_24,sk0_27),
inference(resolution,[status(thm)],[f1391,f1027]) ).
fof(f1413,plain,
coll(sk0_24,sk0_27,sk0_24),
inference(resolution,[status(thm)],[f1398,f1076]) ).
fof(f1414,plain,
( $false
| spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f1413,f948]) ).
fof(f1415,plain,
spl0_36,
inference(contradiction_clause,[status(thm)],[f1414]) ).
fof(f1428,plain,
coll(sk0_27,sk0_27,sk0_24),
inference(resolution,[status(thm)],[f1407,f1076]) ).
fof(f1429,plain,
( $false
| spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f1428,f962]) ).
fof(f1430,plain,
spl0_37,
inference(contradiction_clause,[status(thm)],[f1429]) ).
fof(f1439,plain,
coll(sk0_24,sk0_26,sk0_24),
inference(resolution,[status(thm)],[f1413,f820]) ).
fof(f1449,plain,
coll(sk0_27,sk0_26,sk0_27),
inference(resolution,[status(thm)],[f1428,f867]) ).
fof(f1464,plain,
coll(sk0_24,sk0_24,sk0_24),
inference(resolution,[status(thm)],[f1439,f1025]) ).
fof(f1465,plain,
( $false
| spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f1464,f716]) ).
fof(f1466,plain,
spl0_23,
inference(contradiction_clause,[status(thm)],[f1465]) ).
fof(f1653,plain,
( $false
| spl0_27
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f1089,f1276]) ).
fof(f1654,plain,
( spl0_27
| ~ spl0_41 ),
inference(contradiction_clause,[status(thm)],[f1653]) ).
fof(f1659,plain,
! [X0] :
( ~ coll(sk0_22,sk0_26,X0)
| coll(X0,sk0_20,sk0_22)
| ~ spl0_43 ),
inference(resolution,[status(thm)],[f1109,f103]) ).
fof(f1670,plain,
coll(sk0_27,sk0_27,sk0_27),
inference(resolution,[status(thm)],[f1449,f1028]) ).
fof(f1759,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f444,f615]) ).
fof(f1760,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f1759]) ).
fof(f1805,plain,
( coll(sk0_20,sk0_23,sk0_22)
| ~ coll(sk0_24,sk0_24,sk0_22) ),
inference(resolution,[status(thm)],[f1096,f417]) ).
fof(f1806,plain,
( spl0_41
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f1805,f1088,f641]) ).
fof(f1818,plain,
( $false
| spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f810,f1670]) ).
fof(f1819,plain,
spl0_28,
inference(contradiction_clause,[status(thm)],[f1818]) ).
fof(f1820,plain,
coll(sk0_26,sk0_26,sk0_21),
inference(resolution,[status(thm)],[f1102,f379]) ).
fof(f1831,plain,
! [X0] :
( ~ coll(sk0_26,sk0_26,X0)
| coll(X0,sk0_21,sk0_26) ),
inference(resolution,[status(thm)],[f1820,f398]) ).
fof(f2045,plain,
! [X0] :
( coll(X0,sk0_20,sk0_22)
| ~ coll(sk0_22,X0,sk0_26)
| ~ spl0_43 ),
inference(resolution,[status(thm)],[f1659,f98]) ).
fof(f3180,plain,
( coll(sk0_22,sk0_21,sk0_26)
| ~ spl0_39
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f1831,f1239]) ).
fof(f3703,plain,
( coll(sk0_21,sk0_20,sk0_22)
| ~ spl0_39
| ~ spl0_21
| ~ spl0_43 ),
inference(resolution,[status(thm)],[f3180,f2045]) ).
fof(f3704,plain,
( $false
| ~ spl0_39
| ~ spl0_21
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f3703,f385]) ).
fof(f3705,plain,
( ~ spl0_39
| ~ spl0_21
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f3704]) ).
fof(f3706,plain,
$false,
inference(sat_refutation,[status(thm)],[f564,f605,f629,f678,f757,f1112,f1131,f1415,f1430,f1466,f1654,f1760,f1806,f1819,f3705]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO620+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n029.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 12:14:36 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.13/0.31 % Drodi V3.5.1
% 0.13/0.43 % Refutation found
% 0.13/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.45 % Elapsed time: 0.148107 seconds
% 0.13/0.45 % CPU time: 0.741091 seconds
% 0.13/0.45 % Memory used: 57.079 MB
%------------------------------------------------------------------------------