TSTP Solution File: GEO442+1 by SATCoP---0.1
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%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : GEO442+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n012.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 : 600s
% DateTime : Sat Jul 16 06:11:54 EDT 2022
% Result : Theorem 64.14s 8.88s
% Output : Proof 64.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK3464),real),vectoru_norm),s(cart(real,sK3464),sK3465))))),s(real,a0)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNORMu_LTu_SQUAREu_ALT)]) ).
cnf(g1,plain,
( p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK3464),real),i(s(fun(cart(real,sK3464),fun(cart(real,sK3464),real)),dot),s(cart(real,sK3464),sK3465))),s(cart(real,sK3464),sK3465))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK3464),real),vectoru_norm),s(cart(real,sK3464),sK3465))))),s(real,a0)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNORMu_LTu_SQUAREu_ALT)]) ).
cnf(g2,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK3464),real),i(s(fun(cart(real,sK3464),fun(cart(real,sK3464),real)),dot),s(cart(real,sK3464),sK3465))),s(cart(real,sK3464),sK3465))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK3464),real),vectoru_norm),s(cart(real,sK3464),sK3465))))),s(real,a0)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNORMu_LTu_SQUAREu_ALT)]) ).
cnf(g3,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK3464),real),vectoru_norm),s(cart(real,sK3464),sK3465))))),s(real,a0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK3464),real),i(s(fun(cart(real,sK3464),fun(cart(real,sK3464),real)),dot),s(cart(real,sK3464),sK3465))),s(cart(real,sK3464),sK3465))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNORMu_LTu_SQUARE)]) ).
cnf(g4,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK3464),real),i(s(fun(cart(real,sK3464),fun(cart(real,sK3464),real)),dot),s(cart(real,sK3464),sK3465))),s(cart(real,sK3464),sK3465))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK3464),real),i(s(fun(cart(real,sK3464),fun(cart(real,sK3464),real)),dot),s(cart(real,sK3464),sK3465))),s(cart(real,sK3464),sK3465))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ),
inference(ground_cnf,[],[file('Axioms/GEO010+0.ax',aREALu_LEu_LT)]) ).
cnf(g5,plain,
( ~ sPE(s(real,i(s(fun(cart(real,sK3464),real),i(s(fun(cart(real,sK3464),fun(cart(real,sK3464),real)),dot),s(cart(real,sK3464),sK3465))),s(cart(real,sK3464),sK3465))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK3464),real),i(s(fun(cart(real,sK3464),fun(cart(real,sK3464),real)),dot),s(cart(real,sK3464),sK3465))),s(cart(real,sK3464),sK3465))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))))) ),
inference(ground_cnf,[],[file('Axioms/GEO010+0.ax',aREALu_LTu_LE)]) ).
cnf(g6,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK3464),real),i(s(fun(cart(real,sK3464),fun(cart(real,sK3464),real)),dot),s(cart(real,sK3464),sK3465))),s(cart(real,sK3464),sK3465))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK3464),real),vectoru_norm),s(cart(real,sK3464),sK3465))))),s(real,a0)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNORMu_LTu_SQUARE)]) ).
cnf(g7,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0)))) ),
inference(ground_cnf,[],[file('Axioms/GEO010+0.ax',aREALu_LTu_LE)]) ).
cnf(g8,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK3464),real),vectoru_norm),s(cart(real,sK3464),sK3465))))),s(real,a0))))
| sPE(s(real,i(s(fun(cart(real,sK3464),real),vectoru_norm),s(cart(real,sK3464),sK3465))),s(real,a0))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK3464),real),vectoru_norm),s(cart(real,sK3464),sK3465))))),s(real,a0)))) ),
inference(ground_cnf,[],[file('Axioms/GEO010+0.ax',aREALu_LEu_LT)]) ).
cnf(g9,plain,
( ~ sPE(s(real,i(s(fun(cart(real,sK3464),real),vectoru_norm),s(cart(real,sK3464),sK3465))),s(real,a0))
| sPE(s(real,i(s(fun(cart(real,sK3464),real),i(s(fun(cart(real,sK3464),fun(cart(real,sK3464),real)),dot),s(cart(real,sK3464),sK3465))),s(cart(real,sK3464),sK3465))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0)))))))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNORMu_EQu_SQUARE)]) ).
cnf(g10,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(cart(real,sK3464),real),vectoru_norm),s(cart(real,sK3464),sK3465))))),s(real,a0))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_lt),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNORMu_LTu_SQUARE)]) ).
cnf(g11,plain,
( ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(real,a0))))
| ~ p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK3464),real),i(s(fun(cart(real,sK3464),fun(cart(real,sK3464),real)),dot),s(cart(real,sK3464),sK3465))),s(cart(real,sK3464),sK3465))))),s(real,i(s(fun(num,real),i(s(fun(real,fun(num,real)),realu_pow),s(real,a0))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit0),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))))))))
| p(s(bool,i(s(fun(real,bool),i(s(fun(real,fun(real,bool)),realu_le),s(real,i(s(fun(cart(real,sK3464),real),vectoru_norm),s(cart(real,sK3464),sK3465))))),s(real,a0)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aNORMu_LEu_SQUARE)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GEO442+1 : TPTP v8.1.0. Released v7.0.0.
% 0.04/0.14 % Command : satcop --statistics %s
% 0.15/0.36 % Computer : n012.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Fri Jun 17 17:21:53 EDT 2022
% 0.15/0.36 % CPUTime :
% 64.14/8.88 % symbols: 4260
% 64.14/8.88 % clauses: 10303
% 64.14/8.88 % start clauses: 3
% 64.14/8.88 % iterative deepening steps: 204
% 64.14/8.88 % maximum path limit: 2
% 64.14/8.88 % literal attempts: 1317734
% 64.14/8.88 % depth failures: 322489
% 64.14/8.88 % regularity failures: 153
% 64.14/8.88 % tautology failures: 1471
% 64.14/8.88 % reductions: 993160
% 64.14/8.88 % extensions: 324217
% 64.14/8.88 % SAT variables: 1182497
% 64.14/8.88 % SAT clauses: 1028156
% 64.14/8.88 % WalkSAT solutions: 1028146
% 64.14/8.88 % CDCL solutions: 7
% 64.14/8.88 % SZS status Theorem for theBenchmark
% 64.14/8.88 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------