%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SWX224+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n015.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 : 300s
% DateTime : Tue May 5 07:06:27 PM UTC 2026
% Result : Theorem 273.70s 35.69s
% Output : Proof 274.50s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
sPE(index(cons(arr(a,arr(a,b)),nil),zero),just(arr(a,arr(a,b)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_025)]) ).
cnf(g1,plain,
sPE(arr(a,b),arr(a,b)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g2,plain,
sPE(a,a),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g3,plain,
( ~ sPE(a,a)
| ~ sPE(arr(a,b),arr(a,b))
| sPE(arr(a,arr(a,b)),arr(a,arr(a,b))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g4,plain,
sPE(index(cons(a,cons(arr(a,arr(a,b)),nil)),zero),just(a)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_025)]) ).
cnf(g5,plain,
sPE(cons(a,cons(arr(a,arr(a,b)),nil)),cons(a,cons(arr(a,arr(a,b)),nil))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g6,plain,
( ~ sPE(a,a)
| ~ sPE(index(cons(a,cons(arr(a,arr(a,b)),nil)),zero),just(a))
| tc(cons(a,cons(arr(a,arr(a,b)),nil)),var(zero),a) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_031)]) ).
cnf(g7,plain,
( ~ sPE(index(cons(a,cons(arr(a,arr(a,b)),nil)),suc(zero)),index(cons(arr(a,arr(a,b)),nil),zero))
| ~ sPE(index(cons(arr(a,arr(a,b)),nil),zero),just(arr(a,arr(a,b))))
| sPE(index(cons(a,cons(arr(a,arr(a,b)),nil)),suc(zero)),just(arr(a,arr(a,b)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g8,plain,
sPE(index(cons(a,cons(arr(a,arr(a,b)),nil)),suc(zero)),index(cons(arr(a,arr(a,b)),nil),zero)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_026)]) ).
cnf(g9,plain,
sPE(proj1Just(just(zero)),zero),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_014)]) ).
cnf(g10,plain,
( ~ sPE(zero,proj1Just(just(zero)))
| sPE(var(zero),var(proj1Just(just(zero)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g11,plain,
( ~ sPE(proj1Just(just(zero)),zero)
| sPE(zero,proj1Just(just(zero))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g12,plain,
( ~ sPE(arr(a,arr(a,b)),arr(a,arr(a,b)))
| ~ sPE(index(cons(a,cons(arr(a,arr(a,b)),nil)),suc(zero)),just(arr(a,arr(a,b))))
| tc(cons(a,cons(arr(a,arr(a,b)),nil)),var(suc(zero)),arr(a,arr(a,b))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_031)]) ).
cnf(g13,plain,
( ~ tc(cons(a,cons(arr(a,arr(a,b)),nil)),var(suc(zero)),arr(a,arr(a,b)))
| ~ tc(cons(a,cons(arr(a,arr(a,b)),nil)),var(zero),a)
| tc(cons(a,cons(arr(a,arr(a,b)),nil)),app(var(suc(zero)),var(zero),a),arr(a,b)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_027)]) ).
cnf(g14,plain,
~ tc(nil,lam(lam(app(app(var(suc(zero)),var(zero),a),var(proj1Just(just(zero))),a))),arr(arr(a,arr(a,b)),arr(a,b))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_032)]) ).
cnf(g15,plain,
( ~ tc(cons(arr(a,arr(a,b)),nil),lam(app(app(var(suc(zero)),var(zero),a),var(proj1Just(just(zero))),a)),arr(a,b))
| tc(nil,lam(lam(app(app(var(suc(zero)),var(zero),a),var(proj1Just(just(zero))),a))),arr(arr(a,arr(a,b)),arr(a,b))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_029)]) ).
cnf(g16,plain,
( ~ tc(cons(a,cons(arr(a,arr(a,b)),nil)),app(app(var(suc(zero)),var(zero),a),var(proj1Just(just(zero))),a),b)
| tc(cons(arr(a,arr(a,b)),nil),lam(app(app(var(suc(zero)),var(zero),a),var(proj1Just(just(zero))),a)),arr(a,b)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_029)]) ).
cnf(g17,plain,
( ~ tc(cons(a,cons(arr(a,arr(a,b)),nil)),app(var(suc(zero)),var(zero),a),arr(a,b))
| ~ tc(cons(a,cons(arr(a,arr(a,b)),nil)),var(proj1Just(just(zero))),a)
| tc(cons(a,cons(arr(a,arr(a,b)),nil)),app(app(var(suc(zero)),var(zero),a),var(proj1Just(just(zero))),a),b) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_027)]) ).
cnf(g18,plain,
( ~ sPE(cons(a,cons(arr(a,arr(a,b)),nil)),cons(a,cons(arr(a,arr(a,b)),nil)))
| ~ sPE(var(zero),var(proj1Just(just(zero))))
| ~ sPE(a,a)
| ~ tc(cons(a,cons(arr(a,arr(a,b)),nil)),var(zero),a)
| tc(cons(a,cons(arr(a,arr(a,b)),nil)),var(proj1Just(just(zero))),a) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX224+1 : TPTP v9.3.0. Released v9.3.0.
% 0.11/0.13 % Command : satcop --statistics %s
% 0.16/0.34 % Computer : n015.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 12:39:46 EDT 2026
% 0.16/0.34 % CPUTime :
% 273.70/35.69 % symbols: 28
% 273.70/35.69 % clauses: 59
% 273.70/35.69 % start clauses: 1
% 273.70/35.69 % iterative deepening steps: 26663
% 273.70/35.69 % maximum path limit: 7
% 273.70/35.69 % literal attempts: 31330005
% 273.70/35.69 % depth failures: 20542273
% 273.70/35.69 % regularity failures: 2096842
% 273.70/35.69 % tautology failures: 301351
% 273.70/35.69 % reductions: 0
% 273.70/35.69 % extensions: 31328710
% 273.70/35.69 % SAT variables: 11980934
% 273.70/35.69 % SAT clauses: 16651853
% 273.70/35.69 % WalkSAT solutions: 16651852
% 273.70/35.69 % CDCL solutions: 0
% 273.70/35.69 % SZS status Theorem for theBenchmark
% 273.70/35.69 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------