TSTP Solution File: COL088-2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COL088-2 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 20:13:48 EDT 2024
% Result : Unsatisfiable 30.24s 4.23s
% Output : CNFRefutation 30.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 64 ( 22 unt; 0 def)
% Number of atoms : 127 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 128 ( 65 ~; 61 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 83 ( 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f149,axiom,
! [P,Q] :
( ~ member(comb_app(P,Q),comb)
| member(P,comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f150,axiom,
! [P,Q] :
( ~ member(comb_app(P,Q),comb)
| member(Q,comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f153,axiom,
! [P,Q] :
( ~ member(P,comb)
| ~ member(Q,comb)
| member(comb_app(P,Q),comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f154,axiom,
! [A] :
( ~ member(A,comb)
| member(pair(A,A),rtrancl(contract)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f155,axiom,
! [P,Q] :
( ~ member(P,comb)
| ~ member(Q,comb)
| member(pair(comb_app(comb_app(combK,P),Q),P),contract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f174,axiom,
! [R,A,B,C] :
( ~ trans(R)
| ~ member(pair(A,B),R)
| ~ member(pair(B,C),R)
| member(pair(A,C),R) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f175,axiom,
! [R] : trans(rtrancl(R)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f176,axiom,
! [A,B] :
( ~ member(pair(A,B),contract)
| member(B,comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f179,axiom,
! [P3,Q3,R3,C] :
( ~ member(pair(P3,Q3),contract)
| ~ member(R3,comb)
| ~ member(pair(comb_app(Q3,R3),C),rtrancl(contract))
| member(pair(comb_app(P3,R3),C),rtrancl(contract)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f181,hypothesis,
member(r,comb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f182,hypothesis,
member(p,comb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f184,hypothesis,
member(pair(y,z),contract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f185,hypothesis,
member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f186,negated_conjecture,
~ member(pair(comb_app(p,r),comb_app(z,r)),rtrancl(contract)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f400,plain,
! [P] :
( ! [Q] : ~ member(comb_app(P,Q),comb)
| member(P,comb) ),
inference(miniscoping,[status(esa)],[f149]) ).
fof(f401,plain,
! [X0,X1] :
( ~ member(comb_app(X0,X1),comb)
| member(X0,comb) ),
inference(cnf_transformation,[status(esa)],[f400]) ).
fof(f402,plain,
! [Q] :
( ! [P] : ~ member(comb_app(P,Q),comb)
| member(Q,comb) ),
inference(miniscoping,[status(esa)],[f150]) ).
fof(f403,plain,
! [X0,X1] :
( ~ member(comb_app(X0,X1),comb)
| member(X1,comb) ),
inference(cnf_transformation,[status(esa)],[f402]) ).
fof(f406,plain,
! [X0,X1] :
( ~ member(X0,comb)
| ~ member(X1,comb)
| member(comb_app(X0,X1),comb) ),
inference(cnf_transformation,[status(esa)],[f153]) ).
fof(f407,plain,
! [X0] :
( ~ member(X0,comb)
| member(pair(X0,X0),rtrancl(contract)) ),
inference(cnf_transformation,[status(esa)],[f154]) ).
fof(f408,plain,
! [X0,X1] :
( ~ member(X0,comb)
| ~ member(X1,comb)
| member(pair(comb_app(comb_app(combK,X0),X1),X0),contract) ),
inference(cnf_transformation,[status(esa)],[f155]) ).
fof(f433,plain,
! [R,A,C] :
( ! [B] :
( ~ trans(R)
| ~ member(pair(A,B),R)
| ~ member(pair(B,C),R) )
| member(pair(A,C),R) ),
inference(miniscoping,[status(esa)],[f174]) ).
fof(f434,plain,
! [X0,X1,X2,X3] :
( ~ trans(X0)
| ~ member(pair(X1,X2),X0)
| ~ member(pair(X2,X3),X0)
| member(pair(X1,X3),X0) ),
inference(cnf_transformation,[status(esa)],[f433]) ).
fof(f435,plain,
! [X0] : trans(rtrancl(X0)),
inference(cnf_transformation,[status(esa)],[f175]) ).
fof(f436,plain,
! [B] :
( ! [A] : ~ member(pair(A,B),contract)
| member(B,comb) ),
inference(miniscoping,[status(esa)],[f176]) ).
fof(f437,plain,
! [X0,X1] :
( ~ member(pair(X0,X1),contract)
| member(X1,comb) ),
inference(cnf_transformation,[status(esa)],[f436]) ).
fof(f440,plain,
! [P3,R3,C] :
( ! [Q3] :
( ~ member(pair(P3,Q3),contract)
| ~ member(R3,comb)
| ~ member(pair(comb_app(Q3,R3),C),rtrancl(contract)) )
| member(pair(comb_app(P3,R3),C),rtrancl(contract)) ),
inference(miniscoping,[status(esa)],[f179]) ).
fof(f441,plain,
! [X0,X1,X2,X3] :
( ~ member(pair(X0,X1),contract)
| ~ member(X2,comb)
| ~ member(pair(comb_app(X1,X2),X3),rtrancl(contract))
| member(pair(comb_app(X0,X2),X3),rtrancl(contract)) ),
inference(cnf_transformation,[status(esa)],[f440]) ).
fof(f444,plain,
member(r,comb),
inference(cnf_transformation,[status(esa)],[f181]) ).
fof(f445,plain,
member(p,comb),
inference(cnf_transformation,[status(esa)],[f182]) ).
fof(f447,plain,
member(pair(y,z),contract),
inference(cnf_transformation,[status(esa)],[f184]) ).
fof(f448,plain,
member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract)),
inference(cnf_transformation,[status(esa)],[f185]) ).
fof(f449,plain,
~ member(pair(comb_app(p,r),comb_app(z,r)),rtrancl(contract)),
inference(cnf_transformation,[status(esa)],[f186]) ).
fof(f450,plain,
! [X0,X1] :
( ~ member(X0,comb)
| ~ member(pair(comb_app(z,X0),X1),rtrancl(contract))
| member(pair(comb_app(y,X0),X1),rtrancl(contract)) ),
inference(resolution,[status(thm)],[f441,f447]) ).
fof(f509,plain,
! [X0,X1,X2,X3] :
( ~ member(pair(X0,X1),rtrancl(X2))
| ~ member(pair(X1,X3),rtrancl(X2))
| member(pair(X0,X3),rtrancl(X2)) ),
inference(resolution,[status(thm)],[f434,f435]) ).
fof(f510,plain,
! [X0] :
( ~ member(pair(comb_app(p,r),X0),rtrancl(contract))
| ~ member(pair(X0,comb_app(z,r)),rtrancl(contract)) ),
inference(resolution,[status(thm)],[f509,f449]) ).
fof(f511,plain,
~ member(pair(comb_app(y,r),comb_app(z,r)),rtrancl(contract)),
inference(resolution,[status(thm)],[f510,f448]) ).
fof(f521,plain,
( spl0_4
<=> member(r,comb) ),
introduced(split_symbol_definition) ).
fof(f523,plain,
( ~ member(r,comb)
| spl0_4 ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,plain,
( spl0_5
<=> member(pair(comb_app(z,r),comb_app(z,r)),rtrancl(contract)) ),
introduced(split_symbol_definition) ).
fof(f526,plain,
( ~ member(pair(comb_app(z,r),comb_app(z,r)),rtrancl(contract))
| spl0_5 ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f527,plain,
( ~ member(r,comb)
| ~ member(pair(comb_app(z,r),comb_app(z,r)),rtrancl(contract)) ),
inference(resolution,[status(thm)],[f511,f450]) ).
fof(f528,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f527,f521,f524]) ).
fof(f530,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f523,f444]) ).
fof(f531,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f530]) ).
fof(f532,plain,
( ~ member(comb_app(z,r),comb)
| spl0_5 ),
inference(resolution,[status(thm)],[f526,f407]) ).
fof(f3248,plain,
! [X0] :
( ~ member(X0,comb)
| member(pair(comb_app(comb_app(combK,X0),p),X0),contract) ),
inference(resolution,[status(thm)],[f408,f445]) ).
fof(f3256,plain,
! [X0,X1,X2] :
( ~ member(X0,comb)
| member(comb_app(X0,X1),comb)
| ~ member(pair(X2,X1),contract) ),
inference(resolution,[status(thm)],[f406,f437]) ).
fof(f3414,plain,
member(pair(comb_app(comb_app(combK,r),p),r),contract),
inference(resolution,[status(thm)],[f3248,f444]) ).
fof(f3417,plain,
! [X0,X1] :
( member(pair(comb_app(comb_app(combK,X0),p),X0),contract)
| ~ member(comb_app(X1,X0),comb) ),
inference(resolution,[status(thm)],[f3248,f403]) ).
fof(f3434,plain,
! [X0,X1] :
( member(comb_app(p,X0),comb)
| ~ member(pair(X1,X0),contract) ),
inference(resolution,[status(thm)],[f3256,f445]) ).
fof(f3435,plain,
! [X0,X1,X2,X3] :
( member(comb_app(X0,X1),comb)
| ~ member(pair(X2,X1),contract)
| ~ member(comb_app(X0,X3),comb) ),
inference(resolution,[status(thm)],[f3256,f401]) ).
fof(f3436,plain,
! [X0,X1,X2,X3] :
( member(comb_app(X0,X1),comb)
| ~ member(pair(X2,X1),contract)
| ~ member(comb_app(X3,X0),comb) ),
inference(resolution,[status(thm)],[f3256,f403]) ).
fof(f3521,plain,
member(comb_app(p,z),comb),
inference(resolution,[status(thm)],[f3434,f447]) ).
fof(f3574,plain,
! [X0,X1] :
( member(comb_app(comb_app(p,z),X0),comb)
| ~ member(pair(X1,X0),contract) ),
inference(resolution,[status(thm)],[f3521,f3256]) ).
fof(f3983,plain,
member(comb_app(comb_app(p,z),z),comb),
inference(resolution,[status(thm)],[f3574,f447]) ).
fof(f4324,plain,
member(pair(comb_app(comb_app(combK,z),p),z),contract),
inference(resolution,[status(thm)],[f3417,f3983]) ).
fof(f4393,plain,
! [X0,X1] :
( member(comb_app(X0,r),comb)
| ~ member(comb_app(X0,X1),comb) ),
inference(resolution,[status(thm)],[f3435,f3414]) ).
fof(f4597,plain,
! [X0,X1] :
( member(comb_app(X0,z),comb)
| ~ member(comb_app(X1,X0),comb) ),
inference(resolution,[status(thm)],[f3436,f4324]) ).
fof(f4616,plain,
member(comb_app(z,z),comb),
inference(resolution,[status(thm)],[f4597,f3983]) ).
fof(f4645,plain,
member(comb_app(z,r),comb),
inference(resolution,[status(thm)],[f4616,f4393]) ).
fof(f4646,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f4645,f532]) ).
fof(f4647,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f4646]) ).
fof(f4648,plain,
$false,
inference(sat_refutation,[status(thm)],[f528,f531,f4647]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : COL088-2 : TPTP v8.1.2. Released v2.7.0.
% 0.14/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 23:41:25 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.36 % Drodi V3.6.0
% 30.24/4.23 % Refutation found
% 30.24/4.23 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 30.24/4.23 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 30.83/4.29 % Elapsed time: 3.924777 seconds
% 30.83/4.29 % CPU time: 30.963104 seconds
% 30.83/4.29 % Total memory used: 313.559 MB
% 30.83/4.29 % Net memory used: 294.247 MB
%------------------------------------------------------------------------------