TSTP Solution File: SET020-3 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET020-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n018.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 04:57:34 EDT 2022
% Result : Unsatisfiable 3.37s 0.81s
% Output : Proof 3.37s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sPE(first(ordered_pair(a,b)),a),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_first_is_first)]) ).
cnf(g1,plain,
( ~ member(f1(first(ordered_pair(a,b)),a),first(ordered_pair(a,b)))
| ~ member(f1(first(ordered_pair(a,b)),a),a)
| sPE(first(ordered_pair(a,b)),a) ),
inference(ground_cnf,[],[file('Axioms/SET003-0.ax',extensionality3)]) ).
cnf(g2,plain,
( sPE(first(ordered_pair(a,b)),a)
| member(f1(first(ordered_pair(a,b)),a),first(ordered_pair(a,b)))
| member(f1(first(ordered_pair(a,b)),a),a) ),
inference(ground_cnf,[],[file('Axioms/SET003-0.ax',extensionality2)]) ).
cnf(g3,plain,
( ~ member(f1(first(ordered_pair(a,b)),a),first(ordered_pair(a,b)))
| sPE(ordered_pair(a,b),ordered_pair(f4(f1(first(ordered_pair(a,b)),a),ordered_pair(a,b)),f5(f1(first(ordered_pair(a,b)),a),ordered_pair(a,b)))) ),
inference(ground_cnf,[],[file('Axioms/SET003-0.ax',first3)]) ).
cnf(g4,plain,
( ~ sPE(ordered_pair(a,a),ordered_pair(a,a))
| ~ little_set(a)
| ~ little_set(a)
| sPE(a,a) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',first_components_are_equal)]) ).
cnf(g5,plain,
( ~ member(f1(first(ordered_pair(a,b)),a),first(ordered_pair(a,b)))
| little_set(f4(f1(first(ordered_pair(a,b)),a),ordered_pair(a,b))) ),
inference(ground_cnf,[],[file('Axioms/SET003-0.ax',first1)]) ).
cnf(g6,plain,
( ~ member(f1(first(ordered_pair(a,b)),a),first(ordered_pair(a,b)))
| member(f1(first(ordered_pair(a,b)),a),f4(f1(first(ordered_pair(a,b)),a),ordered_pair(a,b))) ),
inference(ground_cnf,[],[file('Axioms/SET003-0.ax',first4)]) ).
cnf(g7,plain,
little_set(b),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_little_set)]) ).
cnf(g8,plain,
little_set(a),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_little_set)]) ).
cnf(g9,plain,
( member(f17(a,a),a)
| subset(a,a) ),
inference(ground_cnf,[],[file('Axioms/SET003-0.ax',subset2)]) ).
cnf(g10,plain,
( ~ member(f17(a,a),a)
| subset(a,a) ),
inference(ground_cnf,[],[file('Axioms/SET003-0.ax',subset3)]) ).
cnf(g11,plain,
( ~ sPE(ordered_pair(a,b),ordered_pair(a,b))
| ~ member(f1(first(ordered_pair(a,b)),a),a)
| ~ little_set(a)
| ~ little_set(b)
| member(f1(first(ordered_pair(a,b)),a),first(ordered_pair(a,b))) ),
inference(ground_cnf,[],[file('Axioms/SET003-0.ax',first5)]) ).
cnf(g12,plain,
sPE(ordered_pair(a,b),ordered_pair(a,b)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g13,plain,
sPE(ordered_pair(a,a),ordered_pair(a,a)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g14,plain,
( ~ member(f1(first(ordered_pair(a,b)),a),f4(f1(first(ordered_pair(a,b)),a),ordered_pair(a,b)))
| ~ subset(f4(f1(first(ordered_pair(a,b)),a),ordered_pair(a,b)),a)
| member(f1(first(ordered_pair(a,b)),a),a) ),
inference(ground_cnf,[],[file('Axioms/SET003-0.ax',subset1)]) ).
cnf(g15,plain,
( ~ sPE(ordered_pair(a,b),ordered_pair(f4(f1(first(ordered_pair(a,b)),a),ordered_pair(a,b)),f5(f1(first(ordered_pair(a,b)),a),ordered_pair(a,b))))
| ~ little_set(a)
| ~ little_set(f4(f1(first(ordered_pair(a,b)),a),ordered_pair(a,b)))
| sPE(a,f4(f1(first(ordered_pair(a,b)),a),ordered_pair(a,b))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',first_components_are_equal)]) ).
cnf(g16,plain,
( ~ sPE(a,f4(f1(first(ordered_pair(a,b)),a),ordered_pair(a,b)))
| ~ sPE(a,a)
| ~ subset(a,a)
| subset(f4(f1(first(ordered_pair(a,b)),a),ordered_pair(a,b)),a) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET020-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : satcop --statistics %s
% 0.13/0.33 % Computer : n018.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 : Mon Jul 11 08:23:28 EDT 2022
% 0.13/0.33 % CPUTime :
% 3.37/0.81 % symbols: 76
% 3.37/0.81 % clauses: 217
% 3.37/0.81 % start clauses: 1
% 3.37/0.81 % iterative deepening steps: 797
% 3.37/0.81 % maximum path limit: 4
% 3.37/0.81 % literal attempts: 732953
% 3.37/0.81 % depth failures: 636608
% 3.37/0.81 % regularity failures: 20346
% 3.37/0.81 % tautology failures: 9187
% 3.37/0.81 % reductions: 23438
% 3.37/0.81 % extensions: 709467
% 3.37/0.81 % SAT variables: 134498
% 3.37/0.81 % SAT clauses: 140473
% 3.37/0.81 % WalkSAT solutions: 140472
% 3.37/0.81 % CDCL solutions: 0
% 3.37/0.81 % SZS status Unsatisfiable for theBenchmark
% 3.37/0.81 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------