TSTP Solution File: COM008+1 by SATCoP---0.1
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%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : COM008+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n020.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 : Fri Jul 15 01:41:21 EDT 2022
% Result : Theorem 4.11s 0.86s
% Output : Proof 4.11s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ goal,
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved)]) ).
cnf(g1,plain,
( ~ transitive_reflexive_rewrite(b,b)
| ~ transitive_reflexive_rewrite(c,b)
| goal ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',found)]) ).
cnf(g2,plain,
transitive_reflexive_rewrite(a,b),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption)]) ).
cnf(g3,plain,
( ~ equalish(b,a)
| transitive_reflexive_rewrite(b,a) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality_in_transitive_reflexive_rewrite)]) ).
cnf(g4,plain,
transitive_reflexive_rewrite(a,c),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption)]) ).
cnf(g5,plain,
( ~ equalish(b,b)
| transitive_reflexive_rewrite(b,b) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality_in_transitive_reflexive_rewrite)]) ).
cnf(g6,plain,
equalish(b,b),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity)]) ).
cnf(g7,plain,
( ~ transitive_reflexive_rewrite(c,a)
| ~ transitive_reflexive_rewrite(a,b)
| transitive_reflexive_rewrite(c,b) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_transitive_reflexive_rewrite)]) ).
cnf(g8,plain,
( ~ equalish(c,a)
| transitive_reflexive_rewrite(c,a) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality_in_transitive_reflexive_rewrite)]) ).
cnf(g9,plain,
( ~ transitive_reflexive_rewrite(b,c)
| ~ transitive_reflexive_rewrite(c,c)
| goal ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',found)]) ).
cnf(g10,plain,
( ~ equalish(a,c)
| equalish(c,a) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry)]) ).
cnf(g11,plain,
( ~ equalish(c,c)
| transitive_reflexive_rewrite(c,c) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality_in_transitive_reflexive_rewrite)]) ).
cnf(g12,plain,
equalish(c,c),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity)]) ).
cnf(g13,plain,
( ~ transitive_reflexive_rewrite(a,c)
| equalish(a,c)
| rewrite(a,sK2(a,c)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equalish_or_rewrite)]) ).
cnf(g14,plain,
( ~ transitive_reflexive_rewrite(a,c)
| transitive_reflexive_rewrite(sK2(a,c),c)
| equalish(a,c) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equalish_or_rewrite)]) ).
cnf(g15,plain,
( ~ transitive_reflexive_rewrite(a,b)
| equalish(a,b)
| rewrite(a,sK2(a,b)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equalish_or_rewrite)]) ).
cnf(g16,plain,
( ~ transitive_reflexive_rewrite(a,b)
| transitive_reflexive_rewrite(sK2(a,b),b)
| equalish(a,b) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equalish_or_rewrite)]) ).
cnf(g17,plain,
( ~ transitive_reflexive_rewrite(b,a)
| ~ transitive_reflexive_rewrite(a,c)
| transitive_reflexive_rewrite(b,c) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_transitive_reflexive_rewrite)]) ).
cnf(g18,plain,
( ~ equalish(a,b)
| equalish(b,a) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry)]) ).
cnf(g19,plain,
( ~ transitive_reflexive_rewrite(sK2(a,b),b)
| ~ transitive_reflexive_rewrite(sK2(a,b),sK0(a,sK2(a,b),sK2(a,c)))
| ~ rewrite(a,sK2(a,b))
| transitive_reflexive_rewrite(b,sK1(sK2(a,b),b,sK0(a,sK2(a,b),sK2(a,c)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ih_cfl)]) ).
cnf(g20,plain,
( ~ rewrite(a,sK2(a,b))
| ~ rewrite(a,sK2(a,c))
| transitive_reflexive_rewrite(sK2(a,b),sK0(a,sK2(a,b),sK2(a,c))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lo_cfl)]) ).
cnf(g21,plain,
( ~ transitive_reflexive_rewrite(sK2(a,b),b)
| ~ transitive_reflexive_rewrite(sK2(a,b),sK0(a,sK2(a,b),sK2(a,c)))
| ~ rewrite(a,sK2(a,b))
| transitive_reflexive_rewrite(sK0(a,sK2(a,b),sK2(a,c)),sK1(sK2(a,b),b,sK0(a,sK2(a,b),sK2(a,c)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ih_cfl)]) ).
cnf(g22,plain,
( ~ rewrite(a,sK2(a,b))
| ~ rewrite(a,sK2(a,c))
| transitive_reflexive_rewrite(sK2(a,c),sK0(a,sK2(a,b),sK2(a,c))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lo_cfl)]) ).
cnf(g23,plain,
( ~ transitive_reflexive_rewrite(b,sK1(sK2(a,c),sK1(sK2(a,b),sK1(sK2(a,b),b,sK0(a,sK2(a,b),sK2(a,c))),b),c))
| ~ transitive_reflexive_rewrite(c,sK1(sK2(a,c),sK1(sK2(a,b),sK1(sK2(a,b),b,sK0(a,sK2(a,b),sK2(a,c))),b),c))
| goal ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',found)]) ).
cnf(g24,plain,
( ~ transitive_reflexive_rewrite(sK2(a,c),sK1(sK2(a,b),sK1(sK2(a,b),b,sK0(a,sK2(a,b),sK2(a,c))),b))
| ~ transitive_reflexive_rewrite(sK2(a,c),c)
| ~ rewrite(a,sK2(a,c))
| transitive_reflexive_rewrite(c,sK1(sK2(a,c),sK1(sK2(a,b),sK1(sK2(a,b),b,sK0(a,sK2(a,b),sK2(a,c))),b),c)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ih_cfl)]) ).
cnf(g25,plain,
( ~ transitive_reflexive_rewrite(sK2(a,c),sK0(a,sK2(a,b),sK2(a,c)))
| ~ transitive_reflexive_rewrite(sK0(a,sK2(a,b),sK2(a,c)),sK1(sK2(a,b),sK1(sK2(a,b),b,sK0(a,sK2(a,b),sK2(a,c))),b))
| transitive_reflexive_rewrite(sK2(a,c),sK1(sK2(a,b),sK1(sK2(a,b),b,sK0(a,sK2(a,b),sK2(a,c))),b)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_transitive_reflexive_rewrite)]) ).
cnf(g26,plain,
( ~ transitive_reflexive_rewrite(sK0(a,sK2(a,b),sK2(a,c)),sK1(sK2(a,b),b,sK0(a,sK2(a,b),sK2(a,c))))
| ~ transitive_reflexive_rewrite(sK1(sK2(a,b),b,sK0(a,sK2(a,b),sK2(a,c))),sK1(sK2(a,b),sK1(sK2(a,b),b,sK0(a,sK2(a,b),sK2(a,c))),b))
| transitive_reflexive_rewrite(sK0(a,sK2(a,b),sK2(a,c)),sK1(sK2(a,b),sK1(sK2(a,b),b,sK0(a,sK2(a,b),sK2(a,c))),b)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_transitive_reflexive_rewrite)]) ).
cnf(g27,plain,
( ~ transitive_reflexive_rewrite(sK2(a,b),sK1(sK2(a,b),b,sK0(a,sK2(a,b),sK2(a,c))))
| ~ transitive_reflexive_rewrite(sK2(a,b),b)
| ~ rewrite(a,sK2(a,b))
| transitive_reflexive_rewrite(sK1(sK2(a,b),b,sK0(a,sK2(a,b),sK2(a,c))),sK1(sK2(a,b),sK1(sK2(a,b),b,sK0(a,sK2(a,b),sK2(a,c))),b)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ih_cfl)]) ).
cnf(g28,plain,
( ~ transitive_reflexive_rewrite(sK2(a,b),b)
| ~ transitive_reflexive_rewrite(b,sK1(sK2(a,b),b,sK0(a,sK2(a,b),sK2(a,c))))
| transitive_reflexive_rewrite(sK2(a,b),sK1(sK2(a,b),b,sK0(a,sK2(a,b),sK2(a,c)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_transitive_reflexive_rewrite)]) ).
cnf(g29,plain,
( ~ transitive_reflexive_rewrite(sK2(a,c),sK1(sK2(a,b),sK1(sK2(a,b),b,sK0(a,sK2(a,b),sK2(a,c))),b))
| ~ transitive_reflexive_rewrite(sK2(a,c),c)
| ~ rewrite(a,sK2(a,c))
| transitive_reflexive_rewrite(sK1(sK2(a,b),sK1(sK2(a,b),b,sK0(a,sK2(a,b),sK2(a,c))),b),sK1(sK2(a,c),sK1(sK2(a,b),sK1(sK2(a,b),b,sK0(a,sK2(a,b),sK2(a,c))),b),c)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ih_cfl)]) ).
cnf(g30,plain,
( ~ transitive_reflexive_rewrite(b,sK1(sK2(a,b),sK1(sK2(a,b),b,sK0(a,sK2(a,b),sK2(a,c))),b))
| ~ transitive_reflexive_rewrite(sK1(sK2(a,b),sK1(sK2(a,b),b,sK0(a,sK2(a,b),sK2(a,c))),b),sK1(sK2(a,c),sK1(sK2(a,b),sK1(sK2(a,b),b,sK0(a,sK2(a,b),sK2(a,c))),b),c))
| transitive_reflexive_rewrite(b,sK1(sK2(a,c),sK1(sK2(a,b),sK1(sK2(a,b),b,sK0(a,sK2(a,b),sK2(a,c))),b),c)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_transitive_reflexive_rewrite)]) ).
cnf(g31,plain,
( ~ transitive_reflexive_rewrite(sK2(a,b),sK1(sK2(a,b),b,sK0(a,sK2(a,b),sK2(a,c))))
| ~ transitive_reflexive_rewrite(sK2(a,b),b)
| ~ rewrite(a,sK2(a,b))
| transitive_reflexive_rewrite(b,sK1(sK2(a,b),sK1(sK2(a,b),b,sK0(a,sK2(a,b),sK2(a,c))),b)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ih_cfl)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : COM008+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : satcop --statistics %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 16 17:11:34 EDT 2022
% 0.14/0.35 % CPUTime :
% 4.11/0.86 % symbols: 12
% 4.11/0.86 % clauses: 15
% 4.11/0.86 % start clauses: 1
% 4.11/0.86 % iterative deepening steps: 1552
% 4.11/0.86 % maximum path limit: 7
% 4.11/0.86 % literal attempts: 507902
% 4.11/0.86 % depth failures: 243192
% 4.11/0.86 % regularity failures: 53931
% 4.11/0.86 % tautology failures: 17669
% 4.11/0.86 % reductions: 37115
% 4.11/0.86 % extensions: 469350
% 4.11/0.86 % SAT variables: 170599
% 4.11/0.86 % SAT clauses: 168448
% 4.11/0.86 % WalkSAT solutions: 168438
% 4.11/0.86 % CDCL solutions: 8
% 4.11/0.86 % SZS status Theorem for theBenchmark
% 4.11/0.86 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------