TSTP Solution File: GRP642+4 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP642+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 : Tue Apr 30 20:21:13 EDT 2024
% Result : Theorem 41.21s 9.10s
% Output : CNFRefutation 48.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 48 ( 15 unt; 0 def)
% Number of atoms : 134 ( 13 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 137 ( 51 ~; 46 |; 27 &)
% ( 7 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 7 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 24 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29,axiom,
! [A] :
( A = k1_xboole_0
<=> ! [B] : ~ r2_hidden(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36509,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( ( v1_group_1(B)
& m1_group_2(B,A) )
=> r2_hidden(k2_group_1(A),k1_funct_1(k1_latsubgr(A),B)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36510,conjecture,
! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( ( v1_group_1(B)
& m1_group_2(B,A) )
=> k1_funct_1(k1_latsubgr(A),B) != k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36511,negated_conjecture,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A) )
=> ! [B] :
( ( v1_group_1(B)
& m1_group_2(B,A) )
=> k1_funct_1(k1_latsubgr(A),B) != k1_xboole_0 ) ),
inference(negated_conjecture,[status(cth)],[f36510]) ).
fof(f36601,plain,
! [A] :
( ( A != k1_xboole_0
| ! [B] : ~ r2_hidden(B,A) )
& ( A = k1_xboole_0
| ? [B] : r2_hidden(B,A) ) ),
inference(NNF_transformation,[status(esa)],[f29]) ).
fof(f36602,plain,
( ! [A] :
( A != k1_xboole_0
| ! [B] : ~ r2_hidden(B,A) )
& ! [A] :
( A = k1_xboole_0
| ? [B] : r2_hidden(B,A) ) ),
inference(miniscoping,[status(esa)],[f36601]) ).
fof(f36603,plain,
( ! [A] :
( A != k1_xboole_0
| ! [B] : ~ r2_hidden(B,A) )
& ! [A] :
( A = k1_xboole_0
| r2_hidden(sk0_22(A),A) ) ),
inference(skolemization,[status(esa)],[f36602]) ).
fof(f36604,plain,
! [X0,X1] :
( X0 != k1_xboole_0
| ~ r2_hidden(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f36603]) ).
fof(f162772,plain,
! [A] :
( v3_struct_0(A)
| ~ v3_group_1(A)
| ~ v4_group_1(A)
| ~ l1_group_1(A)
| ! [B] :
( ~ v1_group_1(B)
| ~ m1_group_2(B,A)
| r2_hidden(k2_group_1(A),k1_funct_1(k1_latsubgr(A),B)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f36509]) ).
fof(f162773,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),X1)) ),
inference(cnf_transformation,[status(esa)],[f162772]) ).
fof(f162774,plain,
? [A] :
( ~ v3_struct_0(A)
& v3_group_1(A)
& v4_group_1(A)
& l1_group_1(A)
& ? [B] :
( v1_group_1(B)
& m1_group_2(B,A)
& k1_funct_1(k1_latsubgr(A),B) = k1_xboole_0 ) ),
inference(pre_NNF_transformation,[status(esa)],[f36511]) ).
fof(f162775,plain,
( ~ v3_struct_0(sk0_12737)
& v3_group_1(sk0_12737)
& v4_group_1(sk0_12737)
& l1_group_1(sk0_12737)
& v1_group_1(sk0_12738)
& m1_group_2(sk0_12738,sk0_12737)
& k1_funct_1(k1_latsubgr(sk0_12737),sk0_12738) = k1_xboole_0 ),
inference(skolemization,[status(esa)],[f162774]) ).
fof(f162776,plain,
~ v3_struct_0(sk0_12737),
inference(cnf_transformation,[status(esa)],[f162775]) ).
fof(f162777,plain,
v3_group_1(sk0_12737),
inference(cnf_transformation,[status(esa)],[f162775]) ).
fof(f162778,plain,
v4_group_1(sk0_12737),
inference(cnf_transformation,[status(esa)],[f162775]) ).
fof(f162779,plain,
l1_group_1(sk0_12737),
inference(cnf_transformation,[status(esa)],[f162775]) ).
fof(f162780,plain,
v1_group_1(sk0_12738),
inference(cnf_transformation,[status(esa)],[f162775]) ).
fof(f162781,plain,
m1_group_2(sk0_12738,sk0_12737),
inference(cnf_transformation,[status(esa)],[f162775]) ).
fof(f162782,plain,
k1_funct_1(k1_latsubgr(sk0_12737),sk0_12738) = k1_xboole_0,
inference(cnf_transformation,[status(esa)],[f162775]) ).
fof(f188037,plain,
! [X0] : ~ r2_hidden(X0,k1_xboole_0),
inference(destructive_equality_resolution,[status(esa)],[f36604]) ).
fof(f197287,plain,
( spl0_2966
<=> v3_struct_0(sk0_12737) ),
introduced(split_symbol_definition) ).
fof(f197288,plain,
( v3_struct_0(sk0_12737)
| ~ spl0_2966 ),
inference(component_clause,[status(thm)],[f197287]) ).
fof(f197290,plain,
( spl0_2967
<=> l1_group_1(sk0_12737) ),
introduced(split_symbol_definition) ).
fof(f197292,plain,
( ~ l1_group_1(sk0_12737)
| spl0_2967 ),
inference(component_clause,[status(thm)],[f197290]) ).
fof(f197297,plain,
( $false
| spl0_2967 ),
inference(forward_subsumption_resolution,[status(thm)],[f197292,f162779]) ).
fof(f197298,plain,
spl0_2967,
inference(contradiction_clause,[status(thm)],[f197297]) ).
fof(f197299,plain,
( $false
| ~ spl0_2966 ),
inference(forward_subsumption_resolution,[status(thm)],[f197288,f162776]) ).
fof(f197300,plain,
~ spl0_2966,
inference(contradiction_clause,[status(thm)],[f197299]) ).
fof(f197301,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_group_2(sk0_12738,X0)
| r2_hidden(k2_group_1(X0),k1_funct_1(k1_latsubgr(X0),sk0_12738)) ),
inference(resolution,[status(thm)],[f162773,f162780]) ).
fof(f197303,plain,
( spl0_2968
<=> v3_group_1(sk0_12737) ),
introduced(split_symbol_definition) ).
fof(f197305,plain,
( ~ v3_group_1(sk0_12737)
| spl0_2968 ),
inference(component_clause,[status(thm)],[f197303]) ).
fof(f197306,plain,
( spl0_2969
<=> v4_group_1(sk0_12737) ),
introduced(split_symbol_definition) ).
fof(f197308,plain,
( ~ v4_group_1(sk0_12737)
| spl0_2969 ),
inference(component_clause,[status(thm)],[f197306]) ).
fof(f197309,plain,
( spl0_2970
<=> m1_group_2(sk0_12738,sk0_12737) ),
introduced(split_symbol_definition) ).
fof(f197311,plain,
( ~ m1_group_2(sk0_12738,sk0_12737)
| spl0_2970 ),
inference(component_clause,[status(thm)],[f197309]) ).
fof(f197312,plain,
( spl0_2971
<=> r2_hidden(k2_group_1(sk0_12737),k1_xboole_0) ),
introduced(split_symbol_definition) ).
fof(f197313,plain,
( r2_hidden(k2_group_1(sk0_12737),k1_xboole_0)
| ~ spl0_2971 ),
inference(component_clause,[status(thm)],[f197312]) ).
fof(f197315,plain,
( v3_struct_0(sk0_12737)
| ~ v3_group_1(sk0_12737)
| ~ v4_group_1(sk0_12737)
| ~ l1_group_1(sk0_12737)
| ~ m1_group_2(sk0_12738,sk0_12737)
| r2_hidden(k2_group_1(sk0_12737),k1_xboole_0) ),
inference(paramodulation,[status(thm)],[f162782,f197301]) ).
fof(f197316,plain,
( spl0_2966
| ~ spl0_2968
| ~ spl0_2969
| ~ spl0_2967
| ~ spl0_2970
| spl0_2971 ),
inference(split_clause,[status(thm)],[f197315,f197287,f197303,f197306,f197290,f197309,f197312]) ).
fof(f197317,plain,
( $false
| spl0_2970 ),
inference(forward_subsumption_resolution,[status(thm)],[f197311,f162781]) ).
fof(f197318,plain,
spl0_2970,
inference(contradiction_clause,[status(thm)],[f197317]) ).
fof(f197319,plain,
( $false
| spl0_2969 ),
inference(forward_subsumption_resolution,[status(thm)],[f197308,f162778]) ).
fof(f197320,plain,
spl0_2969,
inference(contradiction_clause,[status(thm)],[f197319]) ).
fof(f197321,plain,
( $false
| spl0_2968 ),
inference(forward_subsumption_resolution,[status(thm)],[f197305,f162777]) ).
fof(f197322,plain,
spl0_2968,
inference(contradiction_clause,[status(thm)],[f197321]) ).
fof(f197323,plain,
( $false
| ~ spl0_2971 ),
inference(forward_subsumption_resolution,[status(thm)],[f197313,f188037]) ).
fof(f197324,plain,
~ spl0_2971,
inference(contradiction_clause,[status(thm)],[f197323]) ).
fof(f197325,plain,
$false,
inference(sat_refutation,[status(thm)],[f197298,f197300,f197316,f197318,f197320,f197322,f197324]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP642+4 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 00:23:38 EDT 2024
% 0.12/0.33 % CPUTime :
% 4.10/4.32 % Drodi V3.6.0
% 41.21/9.10 % Refutation found
% 41.21/9.10 % SZS status Theorem for theBenchmark: Theorem is valid
% 41.21/9.10 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 49.39/10.13 % Elapsed time: 9.654374 seconds
% 49.39/10.13 % CPU time: 43.812274 seconds
% 49.39/10.13 % Total memory used: 11.257 GB
% 49.39/10.13 % Net memory used: 11.198 GB
%------------------------------------------------------------------------------