%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : HAL004+1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n023.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 12:45:57 EDT 2022
% Result : Theorem 63.96s 8.48s
% Output : Proof 63.96s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
element(sK8,e),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma3)]) ).
cnf(g1,plain,
morphism(delta,e,r),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',delta_morphism)]) ).
cnf(g2,plain,
( ~ morphism(delta,e,r)
| ~ element(sK8,e)
| element(apply(delta,sK8),r) ),
inference(ground_cnf,[],[file('Axioms/HAL001+0.ax',morphism)]) ).
cnf(g3,plain,
surjection(h),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_surjection)]) ).
cnf(g4,plain,
morphism(g,b,e),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',g_morphism)]) ).
cnf(g5,plain,
morphism(beta,b,c),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',beta_morphism)]) ).
cnf(g6,plain,
surjection(delta),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',delta_surjection)]) ).
cnf(g7,plain,
commute(beta,h,g,delta),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',beta_h_g_delta_commute)]) ).
cnf(g8,plain,
morphism(h,c,r),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_morphism)]) ).
cnf(g9,plain,
sPE(h,h),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g10,plain,
( ~ morphism(delta,e,r)
| ~ element(apply(delta,sK8),r)
| ~ surjection(delta)
| element(sK2(delta,e,r,apply(delta,sK8)),e) ),
inference(ground_cnf,[],[file('Axioms/HAL001+0.ax',surjection_properties)]) ).
cnf(g11,plain,
( ~ morphism(delta,e,r)
| ~ element(apply(delta,sK8),r)
| ~ surjection(delta)
| sPE(apply(delta,sK2(delta,e,r,apply(delta,sK8))),apply(delta,sK8)) ),
inference(ground_cnf,[],[file('Axioms/HAL001+0.ax',surjection_properties)]) ).
cnf(g12,plain,
( ~ sPE(apply(delta,sK2(delta,e,r,apply(delta,sK8))),apply(delta,sK8))
| sPE(apply(delta,sK8),apply(delta,sK2(delta,e,r,apply(delta,sK8)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g13,plain,
surjection(beta),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',beta_surjection)]) ).
cnf(g14,plain,
( ~ morphism(delta,e,r)
| ~ element(sK2(delta,e,r,apply(delta,sK8)),e)
| element(apply(delta,sK2(delta,e,r,apply(delta,sK8))),r) ),
inference(ground_cnf,[],[file('Axioms/HAL001+0.ax',morphism)]) ).
cnf(g15,plain,
( ~ morphism(h,c,r)
| ~ element(apply(delta,sK2(delta,e,r,apply(delta,sK8))),r)
| ~ surjection(h)
| sPE(apply(h,sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8))))),apply(delta,sK2(delta,e,r,apply(delta,sK8)))) ),
inference(ground_cnf,[],[file('Axioms/HAL001+0.ax',surjection_properties)]) ).
cnf(g16,plain,
( ~ morphism(h,c,r)
| ~ element(apply(delta,sK2(delta,e,r,apply(delta,sK8))),r)
| ~ surjection(h)
| element(sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8)))),c) ),
inference(ground_cnf,[],[file('Axioms/HAL001+0.ax',surjection_properties)]) ).
cnf(g17,plain,
( ~ sPE(apply(delta,apply(g,sK2(beta,b,c,sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8))))))),apply(delta,sK2(delta,e,r,apply(delta,sK8))))
| ~ sPE(apply(delta,sK8),apply(delta,sK2(delta,e,r,apply(delta,sK8))))
| ~ sPE(apply(h,apply(beta,sK2(beta,b,c,sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8))))))),apply(delta,sK2(delta,e,r,apply(delta,sK8))))
| ~ element(apply(delta,sK2(delta,e,r,apply(delta,sK8))),r)
| ~ element(sK2(beta,b,c,sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8))))),b) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma3)]) ).
cnf(g18,plain,
( ~ sPE(apply(h,apply(beta,sK2(beta,b,c,sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8))))))),apply(h,sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8))))))
| ~ sPE(apply(h,sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8))))),apply(delta,sK2(delta,e,r,apply(delta,sK8))))
| sPE(apply(h,apply(beta,sK2(beta,b,c,sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8))))))),apply(delta,sK2(delta,e,r,apply(delta,sK8)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g19,plain,
( ~ sPE(h,h)
| ~ sPE(apply(beta,sK2(beta,b,c,sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8)))))),sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8)))))
| sPE(apply(h,apply(beta,sK2(beta,b,c,sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8))))))),apply(h,sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8)))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g20,plain,
( ~ morphism(beta,b,c)
| ~ element(sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8)))),c)
| ~ surjection(beta)
| sPE(apply(beta,sK2(beta,b,c,sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8)))))),sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8))))) ),
inference(ground_cnf,[],[file('Axioms/HAL001+0.ax',surjection_properties)]) ).
cnf(g21,plain,
( ~ sPE(apply(delta,sK2(delta,e,r,apply(delta,sK8))),apply(delta,apply(g,sK2(beta,b,c,sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8))))))))
| sPE(apply(delta,apply(g,sK2(beta,b,c,sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8))))))),apply(delta,sK2(delta,e,r,apply(delta,sK8)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g22,plain,
( ~ morphism(beta,b,c)
| ~ element(sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8)))),c)
| ~ surjection(beta)
| element(sK2(beta,b,c,sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8))))),b) ),
inference(ground_cnf,[],[file('Axioms/HAL001+0.ax',surjection_properties)]) ).
cnf(g23,plain,
( ~ sPE(apply(delta,sK2(delta,e,r,apply(delta,sK8))),apply(h,apply(beta,sK2(beta,b,c,sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8))))))))
| ~ sPE(apply(h,apply(beta,sK2(beta,b,c,sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8))))))),apply(delta,apply(g,sK2(beta,b,c,sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8))))))))
| sPE(apply(delta,sK2(delta,e,r,apply(delta,sK8))),apply(delta,apply(g,sK2(beta,b,c,sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8)))))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g24,plain,
( ~ morphism(beta,b,c)
| ~ morphism(h,c,r)
| ~ morphism(g,b,e)
| ~ morphism(delta,e,r)
| ~ element(sK2(beta,b,c,sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8))))),b)
| ~ commute(beta,h,g,delta)
| sPE(apply(h,apply(beta,sK2(beta,b,c,sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8))))))),apply(delta,apply(g,sK2(beta,b,c,sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8)))))))) ),
inference(ground_cnf,[],[file('Axioms/HAL001+0.ax',commute_properties)]) ).
cnf(g25,plain,
( ~ sPE(apply(h,apply(beta,sK2(beta,b,c,sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8))))))),apply(delta,sK2(delta,e,r,apply(delta,sK8))))
| sPE(apply(delta,sK2(delta,e,r,apply(delta,sK8))),apply(h,apply(beta,sK2(beta,b,c,sK2(h,c,r,apply(delta,sK2(delta,e,r,apply(delta,sK8)))))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HAL004+1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n023.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 : 600
% 0.12/0.33 % DateTime : Tue Jun 7 21:48:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 63.96/8.48 % symbols: 35
% 63.96/8.48 % clauses: 67
% 63.96/8.48 % start clauses: 2
% 63.96/8.48 % iterative deepening steps: 3172
% 63.96/8.48 % maximum path limit: 4
% 63.96/8.48 % literal attempts: 17274043
% 63.96/8.48 % depth failures: 16198403
% 63.96/8.48 % regularity failures: 41203
% 63.96/8.48 % tautology failures: 98298
% 63.96/8.48 % reductions: 192731
% 63.96/8.48 % extensions: 17077766
% 63.96/8.48 % SAT variables: 2384683
% 63.96/8.48 % SAT clauses: 2082799
% 63.96/8.48 % WalkSAT solutions: 2082797
% 63.96/8.48 % CDCL solutions: 0
% 63.96/8.48 % SZS status Theorem for theBenchmark
% 63.96/8.48 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------