TSTP Solution File: SYN597-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN597-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 12:47:11 EDT 2023
% Result : Unsatisfiable 0.06s 0.33s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of formulae : 60 ( 21 unt; 0 def)
% Number of atoms : 124 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 121 ( 57 ~; 57 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 14 ( 13 usr; 8 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 65 (; 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X50] : p9(X50,X50),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X35] : p3(X35,X35),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X28] : p2(X28,X28),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p3(c21,c22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [X24,X25,X27,X26] :
( p18(X24,X25)
| ~ p18(X27,X26)
| ~ p2(X27,X24)
| ~ p10(X26,X25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [X31,X32,X33,X34] :
( p2(f13(X31,X32),f13(X33,X34))
| ~ p12(X32,X34)
| ~ p3(X31,X33) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [X12,X13,X14,X15] :
( p12(f14(X12,X13),f14(X14,X15))
| ~ p3(X12,X14)
| ~ p3(X13,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [X3,X4,X5,X6,X7,X8] :
( p10(f11(X3,X4,X5),f11(X6,X7,X8))
| ~ p2(X3,X6)
| ~ p9(X4,X7)
| ~ p10(X5,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,plain,
! [X0] : p10(X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f30,plain,
! [X0] : p9(X0,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f31,plain,
! [X0] : p3(X0,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f32,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f35,plain,
p3(c21,c22),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f54,plain,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f55,plain,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f58,plain,
! [X25,X26] :
( ! [X24,X27] :
( p18(X24,X25)
| ~ p18(X27,X26)
| ~ p2(X27,X24) )
| ~ p10(X26,X25) ),
inference(miniscoping,[status(esa)],[f24]) ).
fof(f59,plain,
! [X0,X1,X2,X3] :
( p18(X0,X1)
| ~ p18(X2,X3)
| ~ p2(X2,X0)
| ~ p10(X3,X1) ),
inference(cnf_transformation,[status(esa)],[f58]) ).
fof(f62,plain,
! [X31,X33] :
( ! [X32,X34] :
( p2(f13(X31,X32),f13(X33,X34))
| ~ p12(X32,X34) )
| ~ p3(X31,X33) ),
inference(miniscoping,[status(esa)],[f26]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( p2(f13(X0,X1),f13(X2,X3))
| ~ p12(X1,X3)
| ~ p3(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f64,plain,
! [X13,X15] :
( ! [X12,X14] :
( p12(f14(X12,X13),f14(X14,X15))
| ~ p3(X12,X14) )
| ~ p3(X13,X15) ),
inference(miniscoping,[status(esa)],[f27]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( p12(f14(X0,X1),f14(X2,X3))
| ~ p3(X0,X2)
| ~ p3(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f64]) ).
fof(f66,plain,
! [X5,X8] :
( ! [X4,X7] :
( ! [X3,X6] :
( p10(f11(X3,X4,X5),f11(X6,X7,X8))
| ~ p2(X3,X6) )
| ~ p9(X4,X7) )
| ~ p10(X5,X8) ),
inference(miniscoping,[status(esa)],[f28]) ).
fof(f67,plain,
! [X0,X1,X2,X3,X4,X5] :
( p10(f11(X0,X1,X2),f11(X3,X4,X5))
| ~ p2(X0,X3)
| ~ p9(X1,X4)
| ~ p10(X2,X5) ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f68,plain,
! [X0,X1] :
( p18(X0,X1)
| ~ p2(c20,X0)
| ~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),X1) ),
inference(resolution,[status(thm)],[f54,f59]) ).
fof(f70,plain,
! [X0] :
( p18(c20,X0)
| ~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),X0) ),
inference(resolution,[status(thm)],[f68,f32]) ).
fof(f71,plain,
~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(resolution,[status(thm)],[f70,f55]) ).
fof(f79,plain,
( spl0_0
<=> p2(f13(f15(c20),f14(f4(c20),c21)),f13(f15(c20),f14(f4(c20),c22))) ),
introduced(split_symbol_definition) ).
fof(f81,plain,
( ~ p2(f13(f15(c20),f14(f4(c20),c21)),f13(f15(c20),f14(f4(c20),c22)))
| spl0_0 ),
inference(component_clause,[status(thm)],[f79]) ).
fof(f82,plain,
( spl0_1
<=> p9(c23,c23) ),
introduced(split_symbol_definition) ).
fof(f84,plain,
( ~ p9(c23,c23)
| spl0_1 ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f85,plain,
( spl0_2
<=> p10(c24,c24) ),
introduced(split_symbol_definition) ).
fof(f87,plain,
( ~ p10(c24,c24)
| spl0_2 ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f88,plain,
( ~ p2(f13(f15(c20),f14(f4(c20),c21)),f13(f15(c20),f14(f4(c20),c22)))
| ~ p9(c23,c23)
| ~ p10(c24,c24) ),
inference(resolution,[status(thm)],[f71,f67]) ).
fof(f89,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f88,f79,f82,f85]) ).
fof(f91,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f87,f29]) ).
fof(f92,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f91]) ).
fof(f97,plain,
( spl0_3
<=> p12(f14(f4(c20),c21),f14(f4(c20),c22)) ),
introduced(split_symbol_definition) ).
fof(f99,plain,
( ~ p12(f14(f4(c20),c21),f14(f4(c20),c22))
| spl0_3 ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f100,plain,
( spl0_4
<=> p3(f15(c20),f15(c20)) ),
introduced(split_symbol_definition) ).
fof(f102,plain,
( ~ p3(f15(c20),f15(c20))
| spl0_4 ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f103,plain,
( ~ p12(f14(f4(c20),c21),f14(f4(c20),c22))
| ~ p3(f15(c20),f15(c20))
| spl0_0 ),
inference(resolution,[status(thm)],[f81,f63]) ).
fof(f104,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_0 ),
inference(split_clause,[status(thm)],[f103,f97,f100,f79]) ).
fof(f106,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f84,f30]) ).
fof(f107,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f106]) ).
fof(f108,plain,
( spl0_5
<=> p3(f4(c20),f4(c20)) ),
introduced(split_symbol_definition) ).
fof(f110,plain,
( ~ p3(f4(c20),f4(c20))
| spl0_5 ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,plain,
( spl0_6
<=> p3(c21,c22) ),
introduced(split_symbol_definition) ).
fof(f113,plain,
( ~ p3(c21,c22)
| spl0_6 ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f114,plain,
( ~ p3(f4(c20),f4(c20))
| ~ p3(c21,c22)
| spl0_3 ),
inference(resolution,[status(thm)],[f99,f65]) ).
fof(f115,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_3 ),
inference(split_clause,[status(thm)],[f114,f108,f111,f97]) ).
fof(f117,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f102,f31]) ).
fof(f118,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f117]) ).
fof(f119,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f110,f31]) ).
fof(f120,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f119]) ).
fof(f121,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f113,f35]) ).
fof(f122,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f121]) ).
fof(f123,plain,
$false,
inference(sat_refutation,[status(thm)],[f89,f92,f104,f107,f115,f118,f120,f122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SYN597-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.32 % Computer : n001.cluster.edu
% 0.06/0.32 % Model : x86_64 x86_64
% 0.06/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.32 % Memory : 8042.1875MB
% 0.06/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.32 % CPULimit : 300
% 0.06/0.32 % WCLimit : 300
% 0.06/0.32 % DateTime : Tue May 30 10:56:45 EDT 2023
% 0.06/0.32 % CPUTime :
% 0.06/0.32 % Drodi V3.5.1
% 0.06/0.33 % Refutation found
% 0.06/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.06/0.34 % Elapsed time: 0.017590 seconds
% 0.06/0.34 % CPU time: 0.044093 seconds
% 0.06/0.34 % Memory used: 8.355 MB
%------------------------------------------------------------------------------