TSTP Solution File: SYN273-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN273-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 12:46:23 EDT 2023
% Result : Unsatisfiable 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of formulae : 56 ( 19 unt; 0 def)
% Number of atoms : 113 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 111 ( 54 ~; 53 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 5 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 54 (; 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X,Y] : m0(X,d,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [I,J] :
( k1(I)
| ~ n0(J,I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,axiom,
! [I,J] :
( m1(I,J,I)
| ~ l0(I)
| ~ k0(J) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f145,axiom,
! [A] :
( q1(e,A,A)
| ~ m0(A,d,A)
| ~ m0(e,d,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f165,axiom,
! [C,D,E,F] :
( k2(C,D)
| ~ m1(E,D,C)
| ~ k1(F)
| ~ k2(F,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f167,axiom,
! [J,A] :
( k2(J,J)
| ~ q1(A,J,J) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f232,axiom,
! [F,G] :
( k3(F,F,G)
| ~ k2(G,F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f325,axiom,
! [B,C] :
( p4(B,C,B)
| ~ k3(B,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ p4(e,c,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f388,plain,
! [X0,X1] : m0(X0,d,X1),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f393,plain,
l0(c),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f397,plain,
k0(e),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f399,plain,
n0(e,e),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f408,plain,
! [I] :
( k1(I)
| ! [J] : ~ n0(J,I) ),
inference(miniscoping,[status(esa)],[f39]) ).
fof(f409,plain,
! [X0,X1] :
( k1(X0)
| ~ n0(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f408]) ).
fof(f442,plain,
! [J] :
( ! [I] :
( m1(I,J,I)
| ~ l0(I) )
| ~ k0(J) ),
inference(miniscoping,[status(esa)],[f59]) ).
fof(f443,plain,
! [X0,X1] :
( m1(X0,X1,X0)
| ~ l0(X0)
| ~ k0(X1) ),
inference(cnf_transformation,[status(esa)],[f442]) ).
fof(f578,plain,
! [X0] :
( q1(e,X0,X0)
| ~ m0(X0,d,X0)
| ~ m0(e,d,X0) ),
inference(cnf_transformation,[status(esa)],[f145]) ).
fof(f610,plain,
! [D,F] :
( ! [C] :
( k2(C,D)
| ! [E] : ~ m1(E,D,C) )
| ~ k1(F)
| ~ k2(F,D) ),
inference(miniscoping,[status(esa)],[f165]) ).
fof(f611,plain,
! [X0,X1,X2,X3] :
( k2(X0,X1)
| ~ m1(X2,X1,X0)
| ~ k1(X3)
| ~ k2(X3,X1) ),
inference(cnf_transformation,[status(esa)],[f610]) ).
fof(f613,plain,
! [J] :
( k2(J,J)
| ! [A] : ~ q1(A,J,J) ),
inference(miniscoping,[status(esa)],[f167]) ).
fof(f614,plain,
! [X0,X1] :
( k2(X0,X0)
| ~ q1(X1,X0,X0) ),
inference(cnf_transformation,[status(esa)],[f613]) ).
fof(f711,plain,
! [X0,X1] :
( k3(X0,X0,X1)
| ~ k2(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f232]) ).
fof(f853,plain,
! [X0,X1] :
( p4(X0,X1,X0)
| ~ k3(X0,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f325]) ).
fof(f924,plain,
~ p4(e,c,e),
inference(cnf_transformation,[status(esa)],[f369]) ).
fof(f994,plain,
( spl0_20
<=> l0(c) ),
introduced(split_symbol_definition) ).
fof(f996,plain,
( ~ l0(c)
| spl0_20 ),
inference(component_clause,[status(thm)],[f994]) ).
fof(f1037,plain,
( spl0_32
<=> k0(e) ),
introduced(split_symbol_definition) ).
fof(f1039,plain,
( ~ k0(e)
| spl0_32 ),
inference(component_clause,[status(thm)],[f1037]) ).
fof(f1515,plain,
( spl0_167
<=> k1(e) ),
introduced(split_symbol_definition) ).
fof(f1517,plain,
( ~ k1(e)
| spl0_167 ),
inference(component_clause,[status(thm)],[f1515]) ).
fof(f1571,plain,
( spl0_183
<=> k2(c,e) ),
introduced(split_symbol_definition) ).
fof(f1572,plain,
( k2(c,e)
| ~ spl0_183 ),
inference(component_clause,[status(thm)],[f1571]) ).
fof(f1573,plain,
( ~ k2(c,e)
| spl0_183 ),
inference(component_clause,[status(thm)],[f1571]) ).
fof(f1993,plain,
! [X0] :
( q1(e,X0,X0)
| ~ m0(e,d,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f578,f388]) ).
fof(f2017,plain,
( $false
| spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f996,f393]) ).
fof(f2018,plain,
spl0_20,
inference(contradiction_clause,[status(thm)],[f2017]) ).
fof(f2030,plain,
( $false
| spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f1039,f397]) ).
fof(f2031,plain,
spl0_32,
inference(contradiction_clause,[status(thm)],[f2030]) ).
fof(f2072,plain,
! [X0] : q1(e,X0,X0),
inference(forward_subsumption_resolution,[status(thm)],[f1993,f388]) ).
fof(f2075,plain,
! [X0,X1] :
( ~ k2(X0,X1)
| p4(X1,X0,X1) ),
inference(resolution,[status(thm)],[f711,f853]) ).
fof(f2119,plain,
k1(e),
inference(resolution,[status(thm)],[f399,f409]) ).
fof(f2120,plain,
( $false
| spl0_167 ),
inference(forward_subsumption_resolution,[status(thm)],[f2119,f1517]) ).
fof(f2121,plain,
spl0_167,
inference(contradiction_clause,[status(thm)],[f2120]) ).
fof(f2532,plain,
! [X0] : k2(X0,X0),
inference(resolution,[status(thm)],[f614,f2072]) ).
fof(f2763,plain,
! [X0,X1,X2] :
( k2(X0,X1)
| ~ k1(X2)
| ~ k2(X2,X1)
| ~ l0(X0)
| ~ k0(X1) ),
inference(resolution,[status(thm)],[f611,f443]) ).
fof(f3776,plain,
! [X0,X1] :
( k2(X0,X1)
| ~ k1(X1)
| ~ l0(X0)
| ~ k0(X1) ),
inference(resolution,[status(thm)],[f2763,f2532]) ).
fof(f3787,plain,
( ~ k1(e)
| ~ l0(c)
| ~ k0(e)
| spl0_183 ),
inference(resolution,[status(thm)],[f3776,f1573]) ).
fof(f3788,plain,
( ~ spl0_167
| ~ spl0_20
| ~ spl0_32
| spl0_183 ),
inference(split_clause,[status(thm)],[f3787,f1515,f994,f1037,f1571]) ).
fof(f3828,plain,
~ k2(c,e),
inference(resolution,[status(thm)],[f2075,f924]) ).
fof(f3829,plain,
( $false
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[status(thm)],[f1572,f3828]) ).
fof(f3830,plain,
~ spl0_183,
inference(contradiction_clause,[status(thm)],[f3829]) ).
fof(f3831,plain,
$false,
inference(sat_refutation,[status(thm)],[f2018,f2031,f2121,f3788,f3830]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN273-1 : TPTP v8.1.2. Released v1.1.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n008.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 10:27:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.19/0.48 % Refutation found
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.50 % Elapsed time: 0.158998 seconds
% 0.19/0.50 % CPU time: 1.053053 seconds
% 0.19/0.50 % Memory used: 50.949 MB
%------------------------------------------------------------------------------