%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SEU028+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n004.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 : Tue Jul 19 14:11:20 EDT 2022
% Result : Theorem 0.12s 0.36s
% Output : Proof 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
relation(sK12),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_funct_1)]) ).
cnf(g1,plain,
function(sK12),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_funct_1)]) ).
cnf(g2,plain,
one_to_one(sK12),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_funct_1)]) ).
cnf(g3,plain,
( ~ sPE(relation_composition(function_inverse(sK12),sK12),identity_relation(relation_rng(sK12)))
| ~ sPE(relation_composition(sK12,function_inverse(sK12)),identity_relation(relation_dom(sK12))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_funct_1)]) ).
cnf(g4,plain,
( ~ function(sK12)
| ~ relation(sK12)
| ~ one_to_one(sK12)
| sPE(relation_dom(relation_composition(sK12,function_inverse(sK12))),relation_dom(sK12)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_funct_1)]) ).
cnf(g5,plain,
( ~ function(sK12)
| ~ relation(sK12)
| function(function_inverse(sK12)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_1)]) ).
cnf(g6,plain,
( ~ function(sK12)
| ~ relation(sK12)
| ~ one_to_one(sK12)
| sPE(relation_dom(relation_composition(function_inverse(sK12),sK12)),relation_rng(sK12)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t59_funct_1)]) ).
cnf(g7,plain,
( ~ function(sK12)
| ~ relation(sK12)
| relation(function_inverse(sK12)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_1)]) ).
cnf(g8,plain,
( ~ sPE(relation_dom(relation_composition(sK12,function_inverse(sK12))),relation_dom(sK12))
| ~ sPE(apply(relation_composition(sK12,function_inverse(sK12)),sK11(relation_dom(sK12),relation_composition(sK12,function_inverse(sK12)))),sK11(relation_dom(sK12),relation_composition(sK12,function_inverse(sK12))))
| ~ function(relation_composition(sK12,function_inverse(sK12)))
| ~ relation(relation_composition(sK12,function_inverse(sK12)))
| sPE(relation_composition(sK12,function_inverse(sK12)),identity_relation(relation_dom(sK12))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_funct_1)]) ).
cnf(g9,plain,
( ~ sPE(relation_dom(relation_composition(sK12,function_inverse(sK12))),relation_dom(sK12))
| ~ function(relation_composition(sK12,function_inverse(sK12)))
| ~ relation(relation_composition(sK12,function_inverse(sK12)))
| sPE(relation_composition(sK12,function_inverse(sK12)),identity_relation(relation_dom(sK12)))
| in(sK11(relation_dom(sK12),relation_composition(sK12,function_inverse(sK12))),relation_dom(sK12)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_funct_1)]) ).
cnf(g10,plain,
( ~ function(sK12)
| ~ function(function_inverse(sK12))
| ~ relation(sK12)
| ~ relation(function_inverse(sK12))
| function(relation_composition(sK12,function_inverse(sK12))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_funct_1)]) ).
cnf(g11,plain,
( ~ function(function_inverse(sK12))
| ~ function(sK12)
| ~ relation(function_inverse(sK12))
| ~ relation(sK12)
| relation(relation_composition(function_inverse(sK12),sK12)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_funct_1)]) ).
cnf(g12,plain,
( ~ function(sK12)
| ~ function(function_inverse(sK12))
| ~ relation(sK12)
| ~ relation(function_inverse(sK12))
| relation(relation_composition(sK12,function_inverse(sK12))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_funct_1)]) ).
cnf(g13,plain,
( ~ function(function_inverse(sK12))
| ~ function(sK12)
| ~ relation(function_inverse(sK12))
| ~ relation(sK12)
| function(relation_composition(function_inverse(sK12),sK12)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_funct_1)]) ).
cnf(g14,plain,
( ~ sPE(relation_dom(relation_composition(function_inverse(sK12),sK12)),relation_rng(sK12))
| ~ function(relation_composition(function_inverse(sK12),sK12))
| ~ relation(relation_composition(function_inverse(sK12),sK12))
| sPE(relation_composition(function_inverse(sK12),sK12),identity_relation(relation_rng(sK12)))
| in(sK11(relation_rng(sK12),relation_composition(function_inverse(sK12),sK12)),relation_rng(sK12)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_funct_1)]) ).
cnf(g15,plain,
( ~ sPE(relation_dom(relation_composition(function_inverse(sK12),sK12)),relation_rng(sK12))
| ~ sPE(apply(relation_composition(function_inverse(sK12),sK12),sK11(relation_rng(sK12),relation_composition(function_inverse(sK12),sK12))),sK11(relation_rng(sK12),relation_composition(function_inverse(sK12),sK12)))
| ~ function(relation_composition(function_inverse(sK12),sK12))
| ~ relation(relation_composition(function_inverse(sK12),sK12))
| sPE(relation_composition(function_inverse(sK12),sK12),identity_relation(relation_rng(sK12))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_funct_1)]) ).
cnf(g16,plain,
( ~ in(sK11(relation_rng(sK12),relation_composition(function_inverse(sK12),sK12)),relation_rng(sK12))
| ~ function(sK12)
| ~ relation(sK12)
| ~ one_to_one(sK12)
| sPE(sK11(relation_rng(sK12),relation_composition(function_inverse(sK12),sK12)),apply(relation_composition(function_inverse(sK12),sK12),sK11(relation_rng(sK12),relation_composition(function_inverse(sK12),sK12)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_funct_1)]) ).
cnf(g17,plain,
( ~ sPE(sK11(relation_rng(sK12),relation_composition(function_inverse(sK12),sK12)),apply(relation_composition(function_inverse(sK12),sK12),sK11(relation_rng(sK12),relation_composition(function_inverse(sK12),sK12))))
| sPE(apply(relation_composition(function_inverse(sK12),sK12),sK11(relation_rng(sK12),relation_composition(function_inverse(sK12),sK12))),sK11(relation_rng(sK12),relation_composition(function_inverse(sK12),sK12))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g18,plain,
( ~ sPE(sK11(relation_dom(sK12),relation_composition(sK12,function_inverse(sK12))),apply(relation_composition(sK12,function_inverse(sK12)),sK11(relation_dom(sK12),relation_composition(sK12,function_inverse(sK12)))))
| sPE(apply(relation_composition(sK12,function_inverse(sK12)),sK11(relation_dom(sK12),relation_composition(sK12,function_inverse(sK12)))),sK11(relation_dom(sK12),relation_composition(sK12,function_inverse(sK12)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g19,plain,
( ~ in(sK11(relation_dom(sK12),relation_composition(sK12,function_inverse(sK12))),relation_dom(sK12))
| ~ function(sK12)
| ~ relation(sK12)
| ~ one_to_one(sK12)
| sPE(sK11(relation_dom(sK12),relation_composition(sK12,function_inverse(sK12))),apply(relation_composition(sK12,function_inverse(sK12)),sK11(relation_dom(sK12),relation_composition(sK12,function_inverse(sK12))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_funct_1)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU028+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n004.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 : Mon Jun 20 09:19:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.36 % symbols: 31
% 0.12/0.36 % clauses: 98
% 0.12/0.36 % start clauses: 4
% 0.12/0.36 % iterative deepening steps: 32
% 0.12/0.36 % maximum path limit: 2
% 0.12/0.36 % literal attempts: 13814
% 0.12/0.36 % depth failures: 11567
% 0.12/0.36 % regularity failures: 12
% 0.12/0.36 % tautology failures: 74
% 0.12/0.36 % reductions: 1324
% 0.12/0.36 % extensions: 12393
% 0.12/0.36 % SAT variables: 4064
% 0.12/0.36 % SAT clauses: 3987
% 0.12/0.36 % WalkSAT solutions: 3979
% 0.12/0.36 % CDCL solutions: 0
% 0.12/0.36 % SZS status Theorem for theBenchmark
% 0.12/0.36 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------