%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO566+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n027.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 : Thu May 9 17:22:17 EDT 2024
% Result : Theorem 16.23s 16.43s
% Output : Refutation 16.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 4
% Syntax : Number of formulae : 74 ( 48 unt; 0 def)
% Number of atoms : 149 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 101 ( 26 ~; 21 |; 49 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 83 ( 1 sgn 46 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL214028,conjecture,
! [A,B,C,F,H,T,Q,P] :
( ( perp(F,C,A,B)
& coll(F,A,B)
& perp(B,C,A,H)
& perp(A,C,B,H)
& perp(T,F,B,C)
& coll(T,B,C)
& perp(Q,F,A,H)
& coll(Q,A,H)
& perp(P,F,A,C)
& coll(P,A,C) )
=> coll(P,Q,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214028) ).
fof(c11,negated_conjecture,
~ ! [A,B,C,F,H,T,Q,P] :
( ( perp(F,C,A,B)
& coll(F,A,B)
& perp(B,C,A,H)
& perp(A,C,B,H)
& perp(T,F,B,C)
& coll(T,B,C)
& perp(Q,F,A,H)
& coll(Q,A,H)
& perp(P,F,A,C)
& coll(P,A,C) )
=> coll(P,Q,T) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL214028]) ).
fof(c12,negated_conjecture,
? [A,B,C,F,H,T,Q,P] :
( perp(F,C,A,B)
& coll(F,A,B)
& perp(B,C,A,H)
& perp(A,C,B,H)
& perp(T,F,B,C)
& coll(T,B,C)
& perp(Q,F,A,H)
& coll(Q,A,H)
& perp(P,F,A,C)
& coll(P,A,C)
& ~ coll(P,Q,T) ),
inference(fof_nnf,[status(thm)],[c11]) ).
fof(c13,negated_conjecture,
? [X2,X3,X4,X5,X6,X7,X8,X9] :
( perp(X5,X4,X2,X3)
& coll(X5,X2,X3)
& perp(X3,X4,X2,X6)
& perp(X2,X4,X3,X6)
& perp(X7,X5,X3,X4)
& coll(X7,X3,X4)
& perp(X8,X5,X2,X6)
& coll(X8,X2,X6)
& perp(X9,X5,X2,X4)
& coll(X9,X2,X4)
& ~ coll(X9,X8,X7) ),
inference(variable_rename,[status(thm)],[c12]) ).
fof(c14,negated_conjecture,
( perp(skolem0004,skolem0003,skolem0001,skolem0002)
& coll(skolem0004,skolem0001,skolem0002)
& perp(skolem0002,skolem0003,skolem0001,skolem0005)
& perp(skolem0001,skolem0003,skolem0002,skolem0005)
& perp(skolem0006,skolem0004,skolem0002,skolem0003)
& coll(skolem0006,skolem0002,skolem0003)
& perp(skolem0007,skolem0004,skolem0001,skolem0005)
& coll(skolem0007,skolem0001,skolem0005)
& perp(skolem0008,skolem0004,skolem0001,skolem0003)
& coll(skolem0008,skolem0001,skolem0003)
& ~ coll(skolem0008,skolem0007,skolem0006) ),
inference(skolemize,[status(esa)],[c13]) ).
cnf(c25,negated_conjecture,
~ coll(skolem0008,skolem0007,skolem0006),
inference(split_conjunct,[status(thm)],[c14]) ).
fof(ruleD1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(c408,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(fof_nnf,[status(thm)],[ruleD1]) ).
fof(c409,plain,
! [X528,X529,X530] :
( ~ coll(X528,X529,X530)
| coll(X528,X530,X529) ),
inference(variable_rename,[status(thm)],[c408]) ).
cnf(c410,plain,
( ~ coll(X578,X580,X579)
| coll(X578,X579,X580) ),
inference(split_conjunct,[status(thm)],[c409]) ).
fof(ruleD2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(c405,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(fof_nnf,[status(thm)],[ruleD2]) ).
fof(c406,plain,
! [X525,X526,X527] :
( ~ coll(X525,X526,X527)
| coll(X526,X525,X527) ),
inference(variable_rename,[status(thm)],[c405]) ).
cnf(c407,plain,
( ~ coll(X562,X561,X563)
| coll(X561,X562,X563) ),
inference(split_conjunct,[status(thm)],[c406]) ).
cnf(c24,negated_conjecture,
coll(skolem0008,skolem0001,skolem0003),
inference(split_conjunct,[status(thm)],[c14]) ).
cnf(c420,plain,
coll(skolem0001,skolem0008,skolem0003),
inference(resolution,[status(thm)],[c407,c24]) ).
cnf(c437,plain,
coll(skolem0001,skolem0003,skolem0008),
inference(resolution,[status(thm)],[c410,c420]) ).
fof(ruleD3,axiom,
! [A,B,C,D] :
( ( coll(A,B,C)
& coll(A,B,D) )
=> coll(C,D,A) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(c402,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(fof_nnf,[status(thm)],[ruleD3]) ).
fof(c403,plain,
! [X521,X522,X523,X524] :
( ~ coll(X521,X522,X523)
| ~ coll(X521,X522,X524)
| coll(X523,X524,X521) ),
inference(variable_rename,[status(thm)],[c402]) ).
cnf(c404,plain,
( ~ coll(X823,X824,X822)
| ~ coll(X823,X824,X825)
| coll(X822,X825,X823) ),
inference(split_conjunct,[status(thm)],[c403]) ).
cnf(c857,plain,
( ~ coll(skolem0001,skolem0003,X1291)
| coll(X1291,skolem0008,skolem0001) ),
inference(resolution,[status(thm)],[c404,c437]) ).
cnf(c20,negated_conjecture,
coll(skolem0006,skolem0002,skolem0003),
inference(split_conjunct,[status(thm)],[c14]) ).
cnf(c419,plain,
coll(skolem0002,skolem0006,skolem0003),
inference(resolution,[status(thm)],[c407,c20]) ).
cnf(c442,plain,
coll(skolem0002,skolem0003,skolem0006),
inference(resolution,[status(thm)],[c410,c419]) ).
cnf(c462,plain,
coll(skolem0003,skolem0002,skolem0006),
inference(resolution,[status(thm)],[c442,c407]) ).
cnf(c856,plain,
( ~ coll(skolem0003,skolem0002,X1282)
| coll(X1282,skolem0006,skolem0003) ),
inference(resolution,[status(thm)],[c404,c462]) ).
cnf(c16,negated_conjecture,
coll(skolem0004,skolem0001,skolem0002),
inference(split_conjunct,[status(thm)],[c14]) ).
cnf(c421,plain,
coll(skolem0001,skolem0004,skolem0002),
inference(resolution,[status(thm)],[c407,c16]) ).
cnf(c839,plain,
( ~ coll(skolem0001,skolem0004,X1154)
| coll(X1154,skolem0002,skolem0001) ),
inference(resolution,[status(thm)],[c404,c421]) ).
cnf(c440,plain,
coll(skolem0008,skolem0003,skolem0001),
inference(resolution,[status(thm)],[c410,c24]) ).
cnf(c456,plain,
coll(skolem0003,skolem0008,skolem0001),
inference(resolution,[status(thm)],[c440,c407]) ).
cnf(c833,plain,
( ~ coll(X827,X826,X828)
| coll(X828,X828,X827) ),
inference(factor,[status(thm)],[c404]) ).
cnf(c866,plain,
coll(skolem0001,skolem0001,skolem0003),
inference(resolution,[status(thm)],[c833,c456]) ).
cnf(c438,plain,
coll(skolem0004,skolem0002,skolem0001),
inference(resolution,[status(thm)],[c410,c16]) ).
cnf(c859,plain,
coll(skolem0001,skolem0001,skolem0004),
inference(resolution,[status(thm)],[c833,c438]) ).
cnf(c890,plain,
( ~ coll(skolem0001,skolem0001,X1550)
| coll(X1550,skolem0004,skolem0001) ),
inference(resolution,[status(thm)],[c859,c404]) ).
cnf(c2615,plain,
coll(skolem0003,skolem0004,skolem0001),
inference(resolution,[status(thm)],[c890,c866]) ).
cnf(c2624,plain,
coll(skolem0003,skolem0001,skolem0004),
inference(resolution,[status(thm)],[c2615,c410]) ).
cnf(c2646,plain,
coll(skolem0001,skolem0003,skolem0004),
inference(resolution,[status(thm)],[c2624,c407]) ).
cnf(c2695,plain,
coll(skolem0001,skolem0004,skolem0003),
inference(resolution,[status(thm)],[c2646,c410]) ).
cnf(c2764,plain,
coll(skolem0003,skolem0002,skolem0001),
inference(resolution,[status(thm)],[c2695,c839]) ).
cnf(c2836,plain,
coll(skolem0001,skolem0006,skolem0003),
inference(resolution,[status(thm)],[c2764,c856]) ).
cnf(c2917,plain,
coll(skolem0001,skolem0003,skolem0006),
inference(resolution,[status(thm)],[c2836,c410]) ).
cnf(c3021,plain,
coll(skolem0006,skolem0008,skolem0001),
inference(resolution,[status(thm)],[c2917,c857]) ).
cnf(c3135,plain,
coll(skolem0008,skolem0006,skolem0001),
inference(resolution,[status(thm)],[c3021,c407]) ).
cnf(c3271,plain,
coll(skolem0008,skolem0001,skolem0006),
inference(resolution,[status(thm)],[c3135,c410]) ).
cnf(c864,plain,
coll(skolem0001,skolem0001,skolem0008),
inference(resolution,[status(thm)],[c833,c440]) ).
cnf(c22,negated_conjecture,
coll(skolem0007,skolem0001,skolem0005),
inference(split_conjunct,[status(thm)],[c14]) ).
cnf(c443,plain,
coll(skolem0007,skolem0005,skolem0001),
inference(resolution,[status(thm)],[c410,c22]) ).
cnf(c465,plain,
coll(skolem0005,skolem0007,skolem0001),
inference(resolution,[status(thm)],[c443,c407]) ).
cnf(c858,plain,
coll(skolem0001,skolem0001,skolem0005),
inference(resolution,[status(thm)],[c833,c465]) ).
cnf(c885,plain,
( ~ coll(skolem0001,skolem0001,X1295)
| coll(X1295,skolem0005,skolem0001) ),
inference(resolution,[status(thm)],[c858,c404]) ).
cnf(c1624,plain,
coll(skolem0008,skolem0005,skolem0001),
inference(resolution,[status(thm)],[c885,c864]) ).
cnf(c1632,plain,
coll(skolem0008,skolem0001,skolem0005),
inference(resolution,[status(thm)],[c1624,c410]) ).
cnf(c1656,plain,
( ~ coll(skolem0008,skolem0001,X2059)
| coll(X2059,skolem0005,skolem0008) ),
inference(resolution,[status(thm)],[c1632,c404]) ).
cnf(c5569,plain,
coll(skolem0006,skolem0005,skolem0008),
inference(resolution,[status(thm)],[c1656,c3271]) ).
cnf(c5587,plain,
coll(skolem0006,skolem0008,skolem0005),
inference(resolution,[status(thm)],[c5569,c410]) ).
cnf(c5625,plain,
coll(skolem0008,skolem0006,skolem0005),
inference(resolution,[status(thm)],[c5587,c407]) ).
cnf(c5678,plain,
coll(skolem0008,skolem0005,skolem0006),
inference(resolution,[status(thm)],[c5625,c410]) ).
cnf(c418,plain,
coll(skolem0001,skolem0007,skolem0005),
inference(resolution,[status(thm)],[c407,c22]) ).
cnf(c439,plain,
coll(skolem0001,skolem0005,skolem0007),
inference(resolution,[status(thm)],[c410,c418]) ).
cnf(c453,plain,
coll(skolem0005,skolem0001,skolem0007),
inference(resolution,[status(thm)],[c439,c407]) ).
cnf(c855,plain,
( ~ coll(skolem0005,skolem0001,X1273)
| coll(X1273,skolem0007,skolem0005) ),
inference(resolution,[status(thm)],[c404,c453]) ).
cnf(c1634,plain,
coll(skolem0005,skolem0008,skolem0001),
inference(resolution,[status(thm)],[c1624,c407]) ).
cnf(c1665,plain,
coll(skolem0005,skolem0001,skolem0008),
inference(resolution,[status(thm)],[c1634,c410]) ).
cnf(c1736,plain,
coll(skolem0008,skolem0007,skolem0005),
inference(resolution,[status(thm)],[c1665,c855]) ).
cnf(c1849,plain,
coll(skolem0008,skolem0005,skolem0007),
inference(resolution,[status(thm)],[c1736,c410]) ).
cnf(c1983,plain,
( ~ coll(skolem0008,skolem0005,X2359)
| coll(X2359,skolem0007,skolem0008) ),
inference(resolution,[status(thm)],[c1849,c404]) ).
cnf(c6508,plain,
coll(skolem0006,skolem0007,skolem0008),
inference(resolution,[status(thm)],[c1983,c5678]) ).
cnf(c6525,plain,
coll(skolem0006,skolem0008,skolem0007),
inference(resolution,[status(thm)],[c6508,c410]) ).
cnf(c6555,plain,
coll(skolem0008,skolem0006,skolem0007),
inference(resolution,[status(thm)],[c6525,c407]) ).
cnf(c6596,plain,
coll(skolem0008,skolem0007,skolem0006),
inference(resolution,[status(thm)],[c6555,c410]) ).
cnf(c6629,plain,
$false,
inference(resolution,[status(thm)],[c6596,c25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : GEO566+1 : TPTP v8.1.2. Released v7.5.0.
% 0.05/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n027.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 : Thu May 9 08:05:22 EDT 2024
% 0.13/0.34 % CPUTime :
% 16.23/16.43 % Version: 1.5
% 16.23/16.43 % SZS status Theorem
% 16.23/16.43 % SZS output start CNFRefutation
% See solution above
% 16.23/16.43
% 16.23/16.43 % Initial clauses : 138
% 16.23/16.43 % Processed clauses : 1321
% 16.23/16.43 % Factors computed : 90
% 16.23/16.43 % Resolvents computed: 6138
% 16.23/16.43 % Tautologies deleted: 4
% 16.23/16.43 % Forward subsumed : 2281
% 16.23/16.43 % Backward subsumed : 0
% 16.23/16.43 % -------- CPU Time ---------
% 16.23/16.43 % User time : 16.050 s
% 16.23/16.43 % System time : 0.031 s
% 16.23/16.43 % Total time : 16.081 s
%------------------------------------------------------------------------------