TSTP Solution File: COL090-2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COL090-2 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 20:13:49 EDT 2024
% Result : Unsatisfiable 25.69s 3.66s
% Output : CNFRefutation 26.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of formulae : 69 ( 18 unt; 0 def)
% Number of atoms : 136 ( 21 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 123 ( 56 ~; 59 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 9 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f143,axiom,
combK != combS,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f145,axiom,
! [P,Q] : combS != comb_app(P,Q),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f146,axiom,
! [P1,Q1,P2,Q2] :
( comb_app(P1,Q1) != comb_app(P2,Q2)
| P1 = P2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f157,axiom,
! [P,Q,R] :
( ~ member(pair(comb_app(P,Q),R),contract)
| ap_contractE_c1(P,Q,R)
| ap_contractE_c2(P,Q,R)
| ap_contractE_c3(P,Q,R)
| ap_contractE_c4(P,Q,R) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f160,axiom,
! [P,Q,R] :
( ~ ap_contractE_c1(P,Q,R)
| P = comb_app(combK,R) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f165,axiom,
! [P,Q,R] :
( ~ ap_contractE_c2(P,Q,R)
| P = comb_app(comb_app(combS,ap_contractE_sk1p(P,Q,R)),ap_contractE_sk1q(P,Q,R)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f166,axiom,
! [P,Q,R] :
( ~ ap_contractE_c3(P,Q,R)
| member(pair(P,ap_contractE_sk2q(P,Q,R)),contract) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f169,axiom,
! [P,Q,R] :
( ~ ap_contractE_c4(P,Q,R)
| member(pair(Q,ap_contractE_sk3q(P,Q,R)),contract) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f172,axiom,
! [R] : ~ member(pair(combK,R),contract),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f173,axiom,
! [R] : ~ member(pair(combS,R),contract),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f174,negated_conjecture,
member(pair(comb_app(comb_app(combS,combK),combK),r),contract),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f380,plain,
combK != combS,
inference(cnf_transformation,[status(esa)],[f143]) ).
fof(f382,plain,
! [X0,X1] : combS != comb_app(X0,X1),
inference(cnf_transformation,[status(esa)],[f145]) ).
fof(f383,plain,
! [P1,P2] :
( ! [Q1,Q2] : comb_app(P1,Q1) != comb_app(P2,Q2)
| P1 = P2 ),
inference(miniscoping,[status(esa)],[f146]) ).
fof(f384,plain,
! [X0,X1,X2,X3] :
( comb_app(X0,X1) != comb_app(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[status(esa)],[f383]) ).
fof(f398,plain,
! [X0,X1,X2] :
( ~ member(pair(comb_app(X0,X1),X2),contract)
| ap_contractE_c1(X0,X1,X2)
| ap_contractE_c2(X0,X1,X2)
| ap_contractE_c3(X0,X1,X2)
| ap_contractE_c4(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f157]) ).
fof(f403,plain,
! [P,R] :
( ! [Q] : ~ ap_contractE_c1(P,Q,R)
| P = comb_app(combK,R) ),
inference(miniscoping,[status(esa)],[f160]) ).
fof(f404,plain,
! [X0,X1,X2] :
( ~ ap_contractE_c1(X0,X1,X2)
| X0 = comb_app(combK,X2) ),
inference(cnf_transformation,[status(esa)],[f403]) ).
fof(f410,plain,
! [X0,X1,X2] :
( ~ ap_contractE_c2(X0,X1,X2)
| X0 = comb_app(comb_app(combS,ap_contractE_sk1p(X0,X1,X2)),ap_contractE_sk1q(X0,X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f165]) ).
fof(f411,plain,
! [X0,X1,X2] :
( ~ ap_contractE_c3(X0,X1,X2)
| member(pair(X0,ap_contractE_sk2q(X0,X1,X2)),contract) ),
inference(cnf_transformation,[status(esa)],[f166]) ).
fof(f415,plain,
! [X0,X1,X2] :
( ~ ap_contractE_c4(X0,X1,X2)
| member(pair(X1,ap_contractE_sk3q(X0,X1,X2)),contract) ),
inference(cnf_transformation,[status(esa)],[f169]) ).
fof(f419,plain,
! [X0] : ~ member(pair(combK,X0),contract),
inference(cnf_transformation,[status(esa)],[f172]) ).
fof(f420,plain,
! [X0] : ~ member(pair(combS,X0),contract),
inference(cnf_transformation,[status(esa)],[f173]) ).
fof(f421,plain,
member(pair(comb_app(comb_app(combS,combK),combK),r),contract),
inference(cnf_transformation,[status(esa)],[f174]) ).
fof(f15656,plain,
( spl0_823
<=> ap_contractE_c1(comb_app(combS,combK),combK,r) ),
introduced(split_symbol_definition) ).
fof(f15657,plain,
( ap_contractE_c1(comb_app(combS,combK),combK,r)
| ~ spl0_823 ),
inference(component_clause,[status(thm)],[f15656]) ).
fof(f15659,plain,
( spl0_824
<=> ap_contractE_c2(comb_app(combS,combK),combK,r) ),
introduced(split_symbol_definition) ).
fof(f15660,plain,
( ap_contractE_c2(comb_app(combS,combK),combK,r)
| ~ spl0_824 ),
inference(component_clause,[status(thm)],[f15659]) ).
fof(f15662,plain,
( spl0_825
<=> ap_contractE_c3(comb_app(combS,combK),combK,r) ),
introduced(split_symbol_definition) ).
fof(f15663,plain,
( ap_contractE_c3(comb_app(combS,combK),combK,r)
| ~ spl0_825 ),
inference(component_clause,[status(thm)],[f15662]) ).
fof(f15665,plain,
( spl0_826
<=> ap_contractE_c4(comb_app(combS,combK),combK,r) ),
introduced(split_symbol_definition) ).
fof(f15666,plain,
( ap_contractE_c4(comb_app(combS,combK),combK,r)
| ~ spl0_826 ),
inference(component_clause,[status(thm)],[f15665]) ).
fof(f15668,plain,
( ap_contractE_c1(comb_app(combS,combK),combK,r)
| ap_contractE_c2(comb_app(combS,combK),combK,r)
| ap_contractE_c3(comb_app(combS,combK),combK,r)
| ap_contractE_c4(comb_app(combS,combK),combK,r) ),
inference(resolution,[status(thm)],[f398,f421]) ).
fof(f15669,plain,
( spl0_823
| spl0_824
| spl0_825
| spl0_826 ),
inference(split_clause,[status(thm)],[f15668,f15656,f15659,f15662,f15665]) ).
fof(f15685,plain,
( member(pair(comb_app(combS,combK),ap_contractE_sk2q(comb_app(combS,combK),combK,r)),contract)
| ~ spl0_825 ),
inference(resolution,[status(thm)],[f15663,f411]) ).
fof(f15688,plain,
( comb_app(combS,combK) = comb_app(comb_app(combS,ap_contractE_sk1p(comb_app(combS,combK),combK,r)),ap_contractE_sk1q(comb_app(combS,combK),combK,r))
| ~ spl0_824 ),
inference(resolution,[status(thm)],[f15660,f410]) ).
fof(f15689,plain,
( comb_app(combS,combK) = comb_app(combK,r)
| ~ spl0_823 ),
inference(resolution,[status(thm)],[f15657,f404]) ).
fof(f15707,plain,
( combS = combK
| ~ spl0_823 ),
inference(resolution,[status(thm)],[f15689,f384]) ).
fof(f15708,plain,
( $false
| ~ spl0_823 ),
inference(forward_subsumption_resolution,[status(thm)],[f15707,f380]) ).
fof(f15709,plain,
~ spl0_823,
inference(contradiction_clause,[status(thm)],[f15708]) ).
fof(f16059,plain,
( member(pair(combK,ap_contractE_sk3q(comb_app(combS,combK),combK,r)),contract)
| ~ spl0_826 ),
inference(resolution,[status(thm)],[f415,f15666]) ).
fof(f16060,plain,
( $false
| ~ spl0_826 ),
inference(forward_subsumption_resolution,[status(thm)],[f16059,f419]) ).
fof(f16061,plain,
~ spl0_826,
inference(contradiction_clause,[status(thm)],[f16060]) ).
fof(f16110,plain,
( spl0_860
<=> ap_contractE_c1(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r)) ),
introduced(split_symbol_definition) ).
fof(f16111,plain,
( ap_contractE_c1(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| ~ spl0_860 ),
inference(component_clause,[status(thm)],[f16110]) ).
fof(f16113,plain,
( spl0_861
<=> ap_contractE_c2(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r)) ),
introduced(split_symbol_definition) ).
fof(f16114,plain,
( ap_contractE_c2(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| ~ spl0_861 ),
inference(component_clause,[status(thm)],[f16113]) ).
fof(f16116,plain,
( spl0_862
<=> ap_contractE_c3(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r)) ),
introduced(split_symbol_definition) ).
fof(f16117,plain,
( ap_contractE_c3(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| ~ spl0_862 ),
inference(component_clause,[status(thm)],[f16116]) ).
fof(f16119,plain,
( spl0_863
<=> ap_contractE_c4(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r)) ),
introduced(split_symbol_definition) ).
fof(f16120,plain,
( ap_contractE_c4(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| ~ spl0_863 ),
inference(component_clause,[status(thm)],[f16119]) ).
fof(f16122,plain,
( ap_contractE_c1(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| ap_contractE_c2(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| ap_contractE_c3(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| ap_contractE_c4(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| ~ spl0_825 ),
inference(resolution,[status(thm)],[f15685,f398]) ).
fof(f16123,plain,
( spl0_860
| spl0_861
| spl0_862
| spl0_863
| ~ spl0_825 ),
inference(split_clause,[status(thm)],[f16122,f16110,f16113,f16116,f16119,f15662]) ).
fof(f16126,plain,
( member(pair(combK,ap_contractE_sk3q(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))),contract)
| ~ spl0_863 ),
inference(resolution,[status(thm)],[f16120,f415]) ).
fof(f16127,plain,
( $false
| ~ spl0_863 ),
inference(forward_subsumption_resolution,[status(thm)],[f16126,f419]) ).
fof(f16128,plain,
~ spl0_863,
inference(contradiction_clause,[status(thm)],[f16127]) ).
fof(f16130,plain,
( member(pair(combS,ap_contractE_sk2q(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))),contract)
| ~ spl0_862 ),
inference(resolution,[status(thm)],[f16117,f411]) ).
fof(f16131,plain,
( $false
| ~ spl0_862 ),
inference(forward_subsumption_resolution,[status(thm)],[f16130,f420]) ).
fof(f16132,plain,
~ spl0_862,
inference(contradiction_clause,[status(thm)],[f16131]) ).
fof(f16137,plain,
( combS = comb_app(comb_app(combS,ap_contractE_sk1p(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))),ap_contractE_sk1q(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r)))
| ~ spl0_861 ),
inference(resolution,[status(thm)],[f16114,f410]) ).
fof(f16138,plain,
( $false
| ~ spl0_861 ),
inference(forward_subsumption_resolution,[status(thm)],[f16137,f382]) ).
fof(f16139,plain,
~ spl0_861,
inference(contradiction_clause,[status(thm)],[f16138]) ).
fof(f16142,plain,
( combS = comb_app(combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
| ~ spl0_860 ),
inference(resolution,[status(thm)],[f16111,f404]) ).
fof(f16143,plain,
( $false
| ~ spl0_860 ),
inference(forward_subsumption_resolution,[status(thm)],[f16142,f382]) ).
fof(f16144,plain,
~ spl0_860,
inference(contradiction_clause,[status(thm)],[f16143]) ).
fof(f16550,plain,
( combS = comb_app(combS,ap_contractE_sk1p(comb_app(combS,combK),combK,r))
| ~ spl0_824 ),
inference(resolution,[status(thm)],[f15688,f384]) ).
fof(f16551,plain,
( $false
| ~ spl0_824 ),
inference(forward_subsumption_resolution,[status(thm)],[f16550,f382]) ).
fof(f16552,plain,
~ spl0_824,
inference(contradiction_clause,[status(thm)],[f16551]) ).
fof(f16553,plain,
$false,
inference(sat_refutation,[status(thm)],[f15669,f15709,f16061,f16123,f16128,f16132,f16139,f16144,f16552]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COL090-2 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Apr 29 22:22:51 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.33 % Drodi V3.6.0
% 25.69/3.66 % Refutation found
% 25.69/3.66 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 25.69/3.66 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 26.83/3.72 % Elapsed time: 3.380874 seconds
% 26.83/3.72 % CPU time: 26.656812 seconds
% 26.83/3.72 % Total memory used: 304.816 MB
% 26.83/3.72 % Net memory used: 289.324 MB
%------------------------------------------------------------------------------