TSTP Solution File: SEU098+1 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SEU098+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n007.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 14:11:39 EDT 2022
% Result : Theorem 23.56s 3.36s
% Output : Proof 23.56s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
relation(sK29),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_finset_1)]) ).
cnf(g1,plain,
function(sK29),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_finset_1)]) ).
cnf(g2,plain,
( finite(relation_dom(sK29))
| finite(sK29) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_finset_1)]) ).
cnf(g3,plain,
( ~ finite(relation_dom(sK29))
| ~ finite(sK29) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_finset_1)]) ).
cnf(g4,plain,
( ~ relation(sK29)
| subset(sK29,cartesian_product2(relation_dom(sK29),relation_rng(sK29))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_relat_1)]) ).
cnf(g5,plain,
( ~ finite(relation_dom(sK29))
| ~ function(sK29)
| ~ relation(sK29)
| finite(relation_rng(sK29)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_finset_1)]) ).
cnf(g6,plain,
( ~ function(sK29)
| ~ relation(sK29)
| sPE(function_image(cartesian_product2(relation_dom(sK29),relation_rng(sK29)),relation_dom(sK29),first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),sK29),relation_dom(sK29)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t100_funct_3)]) ).
cnf(g7,plain,
( ~ sPE(function_image(cartesian_product2(relation_dom(sK29),relation_rng(sK29)),relation_dom(sK29),first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),sK29),relation_dom(sK29))
| sPE(relation_dom(sK29),function_image(cartesian_product2(relation_dom(sK29),relation_rng(sK29)),relation_dom(sK29),first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),sK29)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g8,plain,
( ~ finite(relation_dom(sK29))
| ~ finite(relation_rng(sK29))
| finite(cartesian_product2(relation_dom(sK29),relation_rng(sK29))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc14_finset_1)]) ).
cnf(g9,plain,
( ~ subset(sK29,cartesian_product2(relation_dom(sK29),relation_rng(sK29)))
| element(sK29,powerset(cartesian_product2(relation_dom(sK29),relation_rng(sK29)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset)]) ).
cnf(g10,plain,
( ~ element(sK29,powerset(cartesian_product2(relation_dom(sK29),relation_rng(sK29))))
| ~ finite(cartesian_product2(relation_dom(sK29),relation_rng(sK29)))
| finite(sK29) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finset_1)]) ).
cnf(g11,plain,
sPE(relation_dom(sK29),relation_dom(sK29)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g12,plain,
subset(relation_dom(sK29),relation_dom(sK29)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski)]) ).
cnf(g13,plain,
( ~ function(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)))
| ~ quasi_total(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),cartesian_product2(relation_dom(sK29),relation_rng(sK29)),relation_dom(sK29))
| ~ relation_of2(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),cartesian_product2(relation_dom(sK29),relation_rng(sK29)),relation_dom(sK29))
| sPE(function_image(cartesian_product2(relation_dom(sK29),relation_rng(sK29)),relation_dom(sK29),first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),sK29),relation_image(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),sK29)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_funct_2)]) ).
cnf(g14,plain,
( ~ element(relation_dom(sK29),powerset(function_image(cartesian_product2(relation_dom(sK29),relation_rng(sK29)),relation_dom(sK29),first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),sK29)))
| ~ finite(function_image(cartesian_product2(relation_dom(sK29),relation_rng(sK29)),relation_dom(sK29),first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),sK29))
| finite(relation_dom(sK29)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finset_1)]) ).
cnf(g15,plain,
( ~ subset(relation_dom(sK29),function_image(cartesian_product2(relation_dom(sK29),relation_rng(sK29)),relation_dom(sK29),first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),sK29))
| element(relation_dom(sK29),powerset(function_image(cartesian_product2(relation_dom(sK29),relation_rng(sK29)),relation_dom(sK29),first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),sK29))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset)]) ).
cnf(g16,plain,
quasi_total(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),cartesian_product2(relation_dom(sK29),relation_rng(sK29)),relation_dom(sK29)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_funct_3)]) ).
cnf(g17,plain,
function(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_funct_3)]) ).
cnf(g18,plain,
( ~ relation_of2_as_subset(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),cartesian_product2(relation_dom(sK29),relation_rng(sK29)),relation_dom(sK29))
| relation_of2(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),cartesian_product2(relation_dom(sK29),relation_rng(sK29)),relation_dom(sK29)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1)]) ).
cnf(g19,plain,
( ~ finite(sK29)
| ~ function(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)))
| ~ relation(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)))
| finite(relation_image(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),sK29)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc13_finset_1)]) ).
cnf(g20,plain,
( ~ sPE(relation_image(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),sK29),function_image(cartesian_product2(relation_dom(sK29),relation_rng(sK29)),relation_dom(sK29),first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),sK29))
| ~ finite(relation_image(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),sK29))
| finite(function_image(cartesian_product2(relation_dom(sK29),relation_rng(sK29)),relation_dom(sK29),first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),sK29)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g21,plain,
( ~ sPE(function_image(cartesian_product2(relation_dom(sK29),relation_rng(sK29)),relation_dom(sK29),first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),sK29),relation_image(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),sK29))
| sPE(relation_image(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),sK29),function_image(cartesian_product2(relation_dom(sK29),relation_rng(sK29)),relation_dom(sK29),first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),sK29)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g22,plain,
( ~ sPE(relation_dom(sK29),relation_dom(sK29))
| ~ sPE(relation_dom(sK29),function_image(cartesian_product2(relation_dom(sK29),relation_rng(sK29)),relation_dom(sK29),first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),sK29))
| ~ subset(relation_dom(sK29),relation_dom(sK29))
| subset(relation_dom(sK29),function_image(cartesian_product2(relation_dom(sK29),relation_rng(sK29)),relation_dom(sK29),first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),sK29)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g23,plain,
relation_of2_as_subset(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),cartesian_product2(relation_dom(sK29),relation_rng(sK29)),relation_dom(sK29)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_funct_3)]) ).
cnf(g24,plain,
( ~ element(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),powerset(cartesian_product2(cartesian_product2(relation_dom(sK29),relation_rng(sK29)),relation_dom(sK29))))
| relation(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1)]) ).
cnf(g25,plain,
( ~ relation_of2_as_subset(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),cartesian_product2(relation_dom(sK29),relation_rng(sK29)),relation_dom(sK29))
| element(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),powerset(cartesian_product2(cartesian_product2(relation_dom(sK29),relation_rng(sK29)),relation_dom(sK29)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU098+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : satcop --statistics %s
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 23:16:58 EDT 2022
% 0.13/0.33 % CPUTime :
% 23.56/3.36 % symbols: 64
% 23.56/3.36 % clauses: 214
% 23.56/3.36 % start clauses: 4
% 23.56/3.36 % iterative deepening steps: 1133
% 23.56/3.36 % maximum path limit: 5
% 23.56/3.36 % literal attempts: 8741240
% 23.56/3.36 % depth failures: 7533256
% 23.56/3.36 % regularity failures: 121196
% 23.56/3.36 % tautology failures: 80155
% 23.56/3.36 % reductions: 86586
% 23.56/3.36 % extensions: 8654007
% 23.56/3.36 % SAT variables: 642507
% 23.56/3.36 % SAT clauses: 575610
% 23.56/3.36 % WalkSAT solutions: 575608
% 23.56/3.36 % CDCL solutions: 1
% 23.56/3.36 % SZS status Theorem for theBenchmark
% 23.56/3.36 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------