TSTP Solution File: SYN569-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN569-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 12:47:08 EDT 2023
% Result : Unsatisfiable 0.20s 0.49s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 16
% Syntax : Number of formulae : 69 ( 14 unt; 0 def)
% Number of atoms : 190 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 260 ( 139 ~; 117 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 114 (; 114 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X6] : p2(X6,X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
p8(c14,c12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p8(c11,c14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
p9(c13,c15,c14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X4,X5] :
( p10(X4,X5)
| ~ p8(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [X7,X8,X6] :
( p2(X7,X8)
| ~ p2(X6,X7)
| ~ p2(X6,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [X9,X10,X11,X12] :
( p2(X9,X10)
| ~ p9(X11,X9,X12)
| ~ p9(X11,X10,X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [X40] :
( p9(c13,f3(X40),X40)
| ~ p10(X40,c12)
| ~ p10(c11,X40) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [X30,X31,X33,X32] :
( p8(X30,X31)
| ~ p2(X33,X31)
| ~ p8(X32,X33)
| ~ p2(X32,X30) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [X15,X16,X17,X18] :
( p2(f4(X15,X16),f4(X17,X18))
| ~ p2(X15,X17)
| ~ p2(X16,X18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X41] :
( ~ p8(X41,c12)
| ~ p8(c11,X41)
| ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(X41))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f23,plain,
p8(c14,c12),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f25,plain,
p8(c11,c14),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f26,plain,
p9(c13,c15,c14),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f27,plain,
! [X0,X1] :
( p10(X0,X1)
| ~ p8(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f31,plain,
! [X8,X6] :
( ! [X7] :
( p2(X7,X8)
| ~ p2(X6,X7) )
| ~ p2(X6,X8) ),
inference(miniscoping,[status(esa)],[f10]) ).
fof(f32,plain,
! [X0,X1,X2] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f33,plain,
! [X10,X11,X12] :
( ! [X9] :
( p2(X9,X10)
| ~ p9(X11,X9,X12) )
| ~ p9(X11,X10,X12) ),
inference(miniscoping,[status(esa)],[f11]) ).
fof(f34,plain,
! [X0,X1,X2,X3] :
( p2(X0,X1)
| ~ p9(X2,X0,X3)
| ~ p9(X2,X1,X3) ),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f35,plain,
! [X0] :
( p9(c13,f3(X0),X0)
| ~ p10(X0,c12)
| ~ p10(c11,X0) ),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f38,plain,
! [X30,X32] :
( ! [X33] :
( ! [X31] :
( p8(X30,X31)
| ~ p2(X33,X31) )
| ~ p8(X32,X33) )
| ~ p2(X32,X30) ),
inference(miniscoping,[status(esa)],[f14]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( p8(X0,X1)
| ~ p2(X2,X1)
| ~ p8(X3,X2)
| ~ p2(X3,X0) ),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f40,plain,
p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f41,plain,
! [X16,X18] :
( ! [X15,X17] :
( p2(f4(X15,X16),f4(X17,X18))
| ~ p2(X15,X17) )
| ~ p2(X16,X18) ),
inference(miniscoping,[status(esa)],[f16]) ).
fof(f42,plain,
! [X0,X1,X2,X3] :
( p2(f4(X0,X1),f4(X2,X3))
| ~ p2(X0,X2)
| ~ p2(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f49,plain,
! [X0] :
( ~ p8(X0,c12)
| ~ p8(c11,X0)
| ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(X0))) ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f51,plain,
! [X0,X1] :
( ~ p8(X0,c12)
| ~ p8(c11,X0)
| ~ p2(X1,f5(f7(c13,c12),f7(c13,c11)))
| ~ p2(X1,f4(f5(c12,c11),f3(X0))) ),
inference(resolution,[status(thm)],[f49,f32]) ).
fof(f52,plain,
( spl0_0
<=> p8(c14,c12) ),
introduced(split_symbol_definition) ).
fof(f54,plain,
( ~ p8(c14,c12)
| spl0_0 ),
inference(component_clause,[status(thm)],[f52]) ).
fof(f68,plain,
! [X0,X1,X2,X3] :
( ~ p8(X0,c12)
| ~ p2(X1,f5(f7(c13,c12),f7(c13,c11)))
| ~ p2(X1,f4(f5(c12,c11),f3(X0)))
| ~ p2(X2,X0)
| ~ p8(X3,X2)
| ~ p2(X3,c11) ),
inference(resolution,[status(thm)],[f51,f39]) ).
fof(f69,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f54,f23]) ).
fof(f70,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f69]) ).
fof(f85,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ p2(X0,f5(f7(c13,c12),f7(c13,c11)))
| ~ p2(X0,f4(f5(c12,c11),f3(X1)))
| ~ p2(X2,X1)
| ~ p8(X3,X2)
| ~ p2(X3,c11)
| ~ p2(X4,c12)
| ~ p8(X5,X4)
| ~ p2(X5,X1) ),
inference(resolution,[status(thm)],[f68,f39]) ).
fof(f89,plain,
! [X0,X1,X2,X3,X4] :
( ~ p2(X0,f5(f7(c13,c12),f7(c13,c11)))
| ~ p2(X0,f4(f5(c12,c11),f3(X1)))
| ~ p2(X2,X1)
| ~ p8(c11,X2)
| ~ p2(X3,c12)
| ~ p8(X4,X3)
| ~ p2(X4,X1) ),
inference(resolution,[status(thm)],[f85,f21]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( ~ p2(X0,f5(f7(c13,c12),f7(c13,c11)))
| ~ p2(X0,f4(f5(c12,c11),f3(X1)))
| ~ p2(c14,X1)
| ~ p2(X2,c12)
| ~ p8(X3,X2)
| ~ p2(X3,X1) ),
inference(resolution,[status(thm)],[f89,f25]) ).
fof(f94,plain,
! [X0,X1,X2,X3,X4] :
( ~ p2(X0,f5(f7(c13,c12),f7(c13,c11)))
| ~ p2(X0,f4(f5(c12,c11),f3(X1)))
| ~ p2(X2,c12)
| ~ p8(X3,X2)
| ~ p2(X3,X1)
| ~ p2(X4,c14)
| ~ p2(X4,X1) ),
inference(resolution,[status(thm)],[f90,f32]) ).
fof(f109,plain,
! [X0,X1,X2,X3] :
( ~ p2(X0,f5(f7(c13,c12),f7(c13,c11)))
| ~ p2(X0,f4(f5(c12,c11),f3(X1)))
| ~ p8(X2,c12)
| ~ p2(X2,X1)
| ~ p2(X3,c14)
| ~ p2(X3,X1) ),
inference(resolution,[status(thm)],[f94,f21]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ~ p2(X0,f5(f7(c13,c12),f7(c13,c11)))
| ~ p2(X0,f4(f5(c12,c11),f3(X1)))
| ~ p2(c14,X1)
| ~ p2(X2,c14)
| ~ p2(X2,X1) ),
inference(resolution,[status(thm)],[f109,f23]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ p2(X0,f5(f7(c13,c12),f7(c13,c11)))
| ~ p2(X0,f4(f5(c12,c11),f3(X1)))
| ~ p2(X2,c14)
| ~ p2(X2,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f111,f32]) ).
fof(f116,plain,
! [X0,X1] :
( ~ p2(X0,f5(f7(c13,c12),f7(c13,c11)))
| ~ p2(X0,f4(f5(c12,c11),f3(X1)))
| ~ p2(c14,X1) ),
inference(resolution,[status(thm)],[f112,f21]) ).
fof(f119,plain,
! [X0] :
( ~ p2(X0,f5(f7(c13,c12),f7(c13,c11)))
| ~ p2(X0,f4(f5(c12,c11),f3(c14))) ),
inference(resolution,[status(thm)],[f116,f21]) ).
fof(f122,plain,
! [X0,X1] :
( ~ p2(X0,f5(f7(c13,c12),f7(c13,c11)))
| ~ p2(X1,X0)
| ~ p2(X1,f4(f5(c12,c11),f3(c14))) ),
inference(resolution,[status(thm)],[f119,f32]) ).
fof(f233,plain,
! [X0] :
( ~ p2(X0,f5(f7(c13,c12),f7(c13,c11)))
| ~ p2(f4(f5(c12,c11),f3(c14)),X0) ),
inference(resolution,[status(thm)],[f122,f21]) ).
fof(f234,plain,
! [X0,X1] :
( ~ p2(f4(X0,X1),f5(f7(c13,c12),f7(c13,c11)))
| ~ p2(f5(c12,c11),X0)
| ~ p2(f3(c14),X1) ),
inference(resolution,[status(thm)],[f233,f42]) ).
fof(f246,plain,
! [X0,X1,X2] :
( ~ p2(f5(c12,c11),X0)
| ~ p2(f3(c14),X1)
| ~ p2(X2,f4(X0,X1))
| ~ p2(X2,f5(f7(c13,c12),f7(c13,c11))) ),
inference(resolution,[status(thm)],[f234,f32]) ).
fof(f274,plain,
! [X0,X1] :
( ~ p2(f3(c14),X0)
| ~ p2(X1,f4(f5(c12,c11),X0))
| ~ p2(X1,f5(f7(c13,c12),f7(c13,c11))) ),
inference(resolution,[status(thm)],[f246,f21]) ).
fof(f277,plain,
! [X0,X1,X2] :
( ~ p2(X0,f4(f5(c12,c11),X1))
| ~ p2(X0,f5(f7(c13,c12),f7(c13,c11)))
| ~ p2(X2,f3(c14))
| ~ p2(X2,X1) ),
inference(resolution,[status(thm)],[f274,f32]) ).
fof(f306,plain,
! [X0,X1] :
( ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),X0))
| ~ p2(X1,f3(c14))
| ~ p2(X1,X0) ),
inference(resolution,[status(thm)],[f277,f21]) ).
fof(f307,plain,
! [X0] :
( ~ p2(X0,f3(c14))
| ~ p2(X0,c15) ),
inference(resolution,[status(thm)],[f306,f40]) ).
fof(f310,plain,
! [X0,X1,X2] :
( ~ p2(X0,f3(c14))
| ~ p9(X1,X0,X2)
| ~ p9(X1,c15,X2) ),
inference(resolution,[status(thm)],[f307,f34]) ).
fof(f318,plain,
( spl0_16
<=> p10(c14,c12) ),
introduced(split_symbol_definition) ).
fof(f320,plain,
( ~ p10(c14,c12)
| spl0_16 ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,plain,
( spl0_17
<=> p10(c11,c14) ),
introduced(split_symbol_definition) ).
fof(f323,plain,
( ~ p10(c11,c14)
| spl0_17 ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f335,plain,
! [X0] :
( ~ p2(X0,f3(c14))
| ~ p9(c13,X0,c14) ),
inference(resolution,[status(thm)],[f310,f26]) ).
fof(f337,plain,
( spl0_18
<=> p2(f3(c14),f3(c14)) ),
introduced(split_symbol_definition) ).
fof(f339,plain,
( ~ p2(f3(c14),f3(c14))
| spl0_18 ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f340,plain,
( ~ p2(f3(c14),f3(c14))
| ~ p10(c14,c12)
| ~ p10(c11,c14) ),
inference(resolution,[status(thm)],[f335,f35]) ).
fof(f341,plain,
( ~ spl0_18
| ~ spl0_16
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f340,f337,f318,f321]) ).
fof(f344,plain,
( $false
| spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f339,f21]) ).
fof(f345,plain,
spl0_18,
inference(contradiction_clause,[status(thm)],[f344]) ).
fof(f358,plain,
( ~ p8(c14,c12)
| spl0_16 ),
inference(resolution,[status(thm)],[f320,f27]) ).
fof(f359,plain,
( ~ spl0_0
| spl0_16 ),
inference(split_clause,[status(thm)],[f358,f52,f318]) ).
fof(f361,plain,
( ~ p8(c11,c14)
| spl0_17 ),
inference(resolution,[status(thm)],[f323,f27]) ).
fof(f362,plain,
( $false
| spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f361,f25]) ).
fof(f363,plain,
spl0_17,
inference(contradiction_clause,[status(thm)],[f362]) ).
fof(f364,plain,
$false,
inference(sat_refutation,[status(thm)],[f70,f341,f345,f359,f363]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN569-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n007.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 : Tue May 30 10:13:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.20/0.49 % Refutation found
% 0.20/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.51 % Elapsed time: 0.155360 seconds
% 0.20/0.51 % CPU time: 1.102496 seconds
% 0.20/0.51 % Memory used: 40.774 MB
%------------------------------------------------------------------------------