TSTP Solution File: SYN067-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN067-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 Apr 30 20:51:12 EDT 2024
% Result : Unsatisfiable 0.09s 0.31s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SYN067-1 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n031.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Apr 29 22:30:28 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.30 % Drodi V3.6.0
% 0.09/0.31 % Refutation found
% 0.09/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.31 fof(f1,negated_conjecture,(
% 0.09/0.31 (![X7,X1]: (( ~ big_p(a)| big_p(X7)| big_p(f2(X7))| ~ big_p(a)| big_p(X1)| big_p(f4(X1)) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f2,negated_conjecture,(
% 0.09/0.31 (![X7,X1]: (( ~ big_p(a)| big_p(X7)| big_p(f2(X7))| ~ big_p(a)| big_p(X1)| big_r(X1,f3(X1)) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f3,negated_conjecture,(
% 0.09/0.31 (![X7,X1]: (( ~ big_p(a)| big_p(X7)| big_p(f2(X7))| ~ big_p(a)| big_p(X1)| big_r(f3(X1),f4(X1)) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f4,negated_conjecture,(
% 0.09/0.31 (![X7,X2,X1]: (( ~ big_p(a)| big_p(X7)| big_p(f2(X7))| ~ big_p(a)| ~ big_p(X2)| ~ big_r(X1,X2)| big_p(f6(X1)) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f5,negated_conjecture,(
% 0.09/0.31 (![X7,X2,X1]: (( ~ big_p(a)| big_p(X7)| big_p(f2(X7))| ~ big_p(a)| ~ big_p(X2)| ~ big_r(X1,X2)| big_r(X1,f5(X1)) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f6,negated_conjecture,(
% 0.09/0.31 (![X7,X2,X1]: (( ~ big_p(a)| big_p(X7)| big_p(f2(X7))| ~ big_p(a)| ~ big_p(X2)| ~ big_r(X1,X2)| big_r(f5(X1),f6(X1)) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f7,negated_conjecture,(
% 0.09/0.31 (![X7,X1]: (( ~ big_p(a)| big_p(X7)| big_r(X7,f1(X7))| ~ big_p(a)| big_p(X1)| big_p(f4(X1)) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f8,negated_conjecture,(
% 0.09/0.31 (![X7,X1]: (( ~ big_p(a)| big_p(X7)| big_r(X7,f1(X7))| ~ big_p(a)| big_p(X1)| big_r(X1,f3(X1)) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f9,negated_conjecture,(
% 0.09/0.31 (![X7,X1]: (( ~ big_p(a)| big_p(X7)| big_r(X7,f1(X7))| ~ big_p(a)| big_p(X1)| big_r(f3(X1),f4(X1)) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f10,negated_conjecture,(
% 0.09/0.31 (![X7,X2,X1]: (( ~ big_p(a)| big_p(X7)| big_r(X7,f1(X7))| ~ big_p(a)| ~ big_p(X2)| ~ big_r(X1,X2)| big_p(f6(X1)) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f11,negated_conjecture,(
% 0.09/0.31 (![X7,X2,X1]: (( ~ big_p(a)| big_p(X7)| big_r(X7,f1(X7))| ~ big_p(a)| ~ big_p(X2)| ~ big_r(X1,X2)| big_r(X1,f5(X1)) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f12,negated_conjecture,(
% 0.09/0.31 (![X7,X2,X1]: (( ~ big_p(a)| big_p(X7)| big_r(X7,f1(X7))| ~ big_p(a)| ~ big_p(X2)| ~ big_r(X1,X2)| big_r(f5(X1),f6(X1)) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f13,negated_conjecture,(
% 0.09/0.31 (![X7,X1]: (( ~ big_p(a)| big_p(X7)| big_r(f1(X7),f2(X7))| ~ big_p(a)| big_p(X1)| big_p(f4(X1)) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f14,negated_conjecture,(
% 0.09/0.31 (![X7,X1]: (( ~ big_p(a)| big_p(X7)| big_r(f1(X7),f2(X7))| ~ big_p(a)| big_p(X1)| big_r(X1,f3(X1)) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f15,negated_conjecture,(
% 0.09/0.31 (![X7,X1]: (( ~ big_p(a)| big_p(X7)| big_r(f1(X7),f2(X7))| ~ big_p(a)| big_p(X1)| big_r(f3(X1),f4(X1)) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f16,negated_conjecture,(
% 0.09/0.31 (![X7,X2,X1]: (( ~ big_p(a)| big_p(X7)| big_r(f1(X7),f2(X7))| ~ big_p(a)| ~ big_p(X2)| ~ big_r(X1,X2)| big_p(f6(X1)) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f17,negated_conjecture,(
% 0.09/0.31 (![X7,X2,X1]: (( ~ big_p(a)| big_p(X7)| big_r(f1(X7),f2(X7))| ~ big_p(a)| ~ big_p(X2)| ~ big_r(X1,X2)| big_r(X1,f5(X1)) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f18,negated_conjecture,(
% 0.09/0.31 (![X7,X2,X1]: (( ~ big_p(a)| big_p(X7)| big_r(f1(X7),f2(X7))| ~ big_p(a)| ~ big_p(X2)| ~ big_r(X1,X2)| big_r(f5(X1),f6(X1)) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f19,negated_conjecture,(
% 0.09/0.31 (![X8,X7,X1]: (( ~ big_p(a)| ~ big_p(X8)| ~ big_r(X7,X8)| big_p(f2(X7))| ~ big_p(a)| big_p(X1)| big_p(f4(X1)) ) ))),
% 0.09/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.31 fof(f20,negated_conjecture,(
% 0.09/0.31 (![X8,X7,X1]: (( ~ big_p(a)| ~ big_p(X8)| ~ big_r(X7,X8)| big_p(f2(X7))| ~ big_p(a)| big_p(X1)| big_r(X1,f3(X1)) ) ))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f21,negated_conjecture,(
% 0.13/0.31 (![X8,X7,X1]: (( ~ big_p(a)| ~ big_p(X8)| ~ big_r(X7,X8)| big_p(f2(X7))| ~ big_p(a)| big_p(X1)| big_r(f3(X1),f4(X1)) ) ))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f22,negated_conjecture,(
% 0.13/0.31 (![X8,X7,X2,X1]: (( ~ big_p(a)| ~ big_p(X8)| ~ big_r(X7,X8)| big_p(f2(X7))| ~ big_p(a)| ~ big_p(X2)| ~ big_r(X1,X2)| big_p(f6(X1)) ) ))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f23,negated_conjecture,(
% 0.13/0.31 (![X8,X7,X2,X1]: (( ~ big_p(a)| ~ big_p(X8)| ~ big_r(X7,X8)| big_p(f2(X7))| ~ big_p(a)| ~ big_p(X2)| ~ big_r(X1,X2)| big_r(X1,f5(X1)) ) ))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f24,negated_conjecture,(
% 0.13/0.31 (![X8,X7,X2,X1]: (( ~ big_p(a)| ~ big_p(X8)| ~ big_r(X7,X8)| big_p(f2(X7))| ~ big_p(a)| ~ big_p(X2)| ~ big_r(X1,X2)| big_r(f5(X1),f6(X1)) ) ))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f25,negated_conjecture,(
% 0.13/0.31 (![X8,X7,X1]: (( ~ big_p(a)| ~ big_p(X8)| ~ big_r(X7,X8)| big_r(X7,f1(X7))| ~ big_p(a)| big_p(X1)| big_p(f4(X1)) ) ))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f26,negated_conjecture,(
% 0.13/0.31 (![X8,X7,X1]: (( ~ big_p(a)| ~ big_p(X8)| ~ big_r(X7,X8)| big_r(X7,f1(X7))| ~ big_p(a)| big_p(X1)| big_r(X1,f3(X1)) ) ))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f27,negated_conjecture,(
% 0.13/0.31 (![X8,X7,X1]: (( ~ big_p(a)| ~ big_p(X8)| ~ big_r(X7,X8)| big_r(X7,f1(X7))| ~ big_p(a)| big_p(X1)| big_r(f3(X1),f4(X1)) ) ))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f28,negated_conjecture,(
% 0.13/0.31 (![X8,X7,X2,X1]: (( ~ big_p(a)| ~ big_p(X8)| ~ big_r(X7,X8)| big_r(X7,f1(X7))| ~ big_p(a)| ~ big_p(X2)| ~ big_r(X1,X2)| big_p(f6(X1)) ) ))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f29,negated_conjecture,(
% 0.13/0.31 (![X8,X7,X2,X1]: (( ~ big_p(a)| ~ big_p(X8)| ~ big_r(X7,X8)| big_r(X7,f1(X7))| ~ big_p(a)| ~ big_p(X2)| ~ big_r(X1,X2)| big_r(X1,f5(X1)) ) ))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f30,negated_conjecture,(
% 0.13/0.31 (![X8,X7,X2,X1]: (( ~ big_p(a)| ~ big_p(X8)| ~ big_r(X7,X8)| big_r(X7,f1(X7))| ~ big_p(a)| ~ big_p(X2)| ~ big_r(X1,X2)| big_r(f5(X1),f6(X1)) ) ))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f31,negated_conjecture,(
% 0.13/0.31 (![X8,X7,X1]: (( ~ big_p(a)| ~ big_p(X8)| ~ big_r(X7,X8)| big_r(f1(X7),f2(X7))| ~ big_p(a)| big_p(X1)| big_p(f4(X1)) ) ))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f32,negated_conjecture,(
% 0.13/0.31 (![X8,X7,X1]: (( ~ big_p(a)| ~ big_p(X8)| ~ big_r(X7,X8)| big_r(f1(X7),f2(X7))| ~ big_p(a)| big_p(X1)| big_r(X1,f3(X1)) ) ))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f33,negated_conjecture,(
% 0.13/0.31 (![X8,X7,X1]: (( ~ big_p(a)| ~ big_p(X8)| ~ big_r(X7,X8)| big_r(f1(X7),f2(X7))| ~ big_p(a)| big_p(X1)| big_r(f3(X1),f4(X1)) ) ))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f34,negated_conjecture,(
% 0.13/0.31 (![X8,X7,X2,X1]: (( ~ big_p(a)| ~ big_p(X8)| ~ big_r(X7,X8)| big_r(f1(X7),f2(X7))| ~ big_p(a)| ~ big_p(X2)| ~ big_r(X1,X2)| big_p(f6(X1)) ) ))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f35,negated_conjecture,(
% 0.13/0.31 (![X8,X7,X2,X1]: (( ~ big_p(a)| ~ big_p(X8)| ~ big_r(X7,X8)| big_r(f1(X7),f2(X7))| ~ big_p(a)| ~ big_p(X2)| ~ big_r(X1,X2)| big_r(X1,f5(X1)) ) ))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f36,negated_conjecture,(
% 0.13/0.31 (![X8,X7,X2,X1]: (( ~ big_p(a)| ~ big_p(X8)| ~ big_r(X7,X8)| big_r(f1(X7),f2(X7))| ~ big_p(a)| ~ big_p(X2)| ~ big_r(X1,X2)| big_r(f5(X1),f6(X1)) ) ))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f37,negated_conjecture,(
% 0.13/0.31 ( big_p(a)| big_p(a)| big_p(a) ) ),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f54,negated_conjecture,(
% 0.13/0.31 ( ~ big_p(c2)| big_p(c1)| ~ big_p(c4)| big_p(c3) ) ),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f55,negated_conjecture,(
% 0.13/0.31 ( ~ big_p(c2)| big_p(c1)| ~ big_p(c4)| big_r(c4,c3) ) ),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f60,negated_conjecture,(
% 0.13/0.31 (![X3,X4,X5,X6]: (( ~ big_p(c2)| big_p(c1)| ~ big_p(X3)| ~ big_r(c4,X4)| ~ big_r(X4,X3)| ~ big_p(X5)| ~ big_r(c4,X6)| ~ big_r(X6,X5) ) ))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f66,negated_conjecture,(
% 0.13/0.31 ( ~ big_p(c2)| big_r(c2,c1)| ~ big_p(c4)| big_p(c3) ) ),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f67,negated_conjecture,(
% 0.13/0.31 ( ~ big_p(c2)| big_r(c2,c1)| ~ big_p(c4)| big_r(c4,c3) ) ),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f72,negated_conjecture,(
% 0.13/0.31 (![X3,X4,X5,X6]: (( ~ big_p(c2)| big_r(c2,c1)| ~ big_p(X3)| ~ big_r(c4,X4)| ~ big_r(X4,X3)| ~ big_p(X5)| ~ big_r(c4,X6)| ~ big_r(X6,X5) ) ))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f78,negated_conjecture,(
% 0.13/0.31 (![X9,X10]: (( ~ big_p(X9)| ~ big_r(c2,X10)| ~ big_r(X10,X9)| ~ big_p(c4)| big_p(c3) ) ))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f79,negated_conjecture,(
% 0.13/0.31 (![X9,X10]: (( ~ big_p(X9)| ~ big_r(c2,X10)| ~ big_r(X10,X9)| ~ big_p(c4)| big_r(c4,c3) ) ))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f84,negated_conjecture,(
% 0.13/0.31 (![X9,X10,X3,X4,X5,X6]: (( ~ big_p(X9)| ~ big_r(c2,X10)| ~ big_r(X10,X9)| ~ big_p(X3)| ~ big_r(c4,X4)| ~ big_r(X4,X3)| ~ big_p(X5)| ~ big_r(c4,X6)| ~ big_r(X6,X5) ) ))),
% 0.13/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.31 fof(f85,plain,(
% 0.13/0.31 ![X1]: ((((![X7]: ((~big_p(a)|big_p(X7))|big_p(f2(X7))))|~big_p(a))|big_p(X1))|big_p(f4(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f1])).
% 0.13/0.31 fof(f86,plain,(
% 0.13/0.31 ![X0,X1]: (~big_p(a)|big_p(X0)|big_p(f2(X0))|~big_p(a)|big_p(X1)|big_p(f4(X1)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f85])).
% 0.13/0.31 fof(f87,plain,(
% 0.13/0.31 ![X1]: ((((![X7]: ((~big_p(a)|big_p(X7))|big_p(f2(X7))))|~big_p(a))|big_p(X1))|big_r(X1,f3(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f2])).
% 0.13/0.31 fof(f88,plain,(
% 0.13/0.31 ![X0,X1]: (~big_p(a)|big_p(X0)|big_p(f2(X0))|~big_p(a)|big_p(X1)|big_r(X1,f3(X1)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f87])).
% 0.13/0.31 fof(f89,plain,(
% 0.13/0.31 ![X1]: ((((![X7]: ((~big_p(a)|big_p(X7))|big_p(f2(X7))))|~big_p(a))|big_p(X1))|big_r(f3(X1),f4(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f3])).
% 0.13/0.31 fof(f90,plain,(
% 0.13/0.31 ![X0,X1]: (~big_p(a)|big_p(X0)|big_p(f2(X0))|~big_p(a)|big_p(X1)|big_r(f3(X1),f4(X1)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f89])).
% 0.13/0.31 fof(f91,plain,(
% 0.13/0.31 ![X1]: ((![X2]: ((((![X7]: ((~big_p(a)|big_p(X7))|big_p(f2(X7))))|~big_p(a))|~big_p(X2))|~big_r(X1,X2)))|big_p(f6(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f4])).
% 0.13/0.31 fof(f92,plain,(
% 0.13/0.31 ![X0,X1,X2]: (~big_p(a)|big_p(X0)|big_p(f2(X0))|~big_p(a)|~big_p(X1)|~big_r(X2,X1)|big_p(f6(X2)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f91])).
% 0.13/0.31 fof(f93,plain,(
% 0.13/0.31 ![X1]: ((![X2]: ((((![X7]: ((~big_p(a)|big_p(X7))|big_p(f2(X7))))|~big_p(a))|~big_p(X2))|~big_r(X1,X2)))|big_r(X1,f5(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f5])).
% 0.13/0.31 fof(f94,plain,(
% 0.13/0.31 ![X0,X1,X2]: (~big_p(a)|big_p(X0)|big_p(f2(X0))|~big_p(a)|~big_p(X1)|~big_r(X2,X1)|big_r(X2,f5(X2)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f93])).
% 0.13/0.31 fof(f95,plain,(
% 0.13/0.31 ![X1]: ((![X2]: ((((![X7]: ((~big_p(a)|big_p(X7))|big_p(f2(X7))))|~big_p(a))|~big_p(X2))|~big_r(X1,X2)))|big_r(f5(X1),f6(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f6])).
% 0.13/0.31 fof(f96,plain,(
% 0.13/0.31 ![X0,X1,X2]: (~big_p(a)|big_p(X0)|big_p(f2(X0))|~big_p(a)|~big_p(X1)|~big_r(X2,X1)|big_r(f5(X2),f6(X2)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f95])).
% 0.13/0.31 fof(f97,plain,(
% 0.13/0.31 ![X1]: ((((![X7]: ((~big_p(a)|big_p(X7))|big_r(X7,f1(X7))))|~big_p(a))|big_p(X1))|big_p(f4(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f7])).
% 0.13/0.31 fof(f98,plain,(
% 0.13/0.31 ![X0,X1]: (~big_p(a)|big_p(X0)|big_r(X0,f1(X0))|~big_p(a)|big_p(X1)|big_p(f4(X1)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f97])).
% 0.13/0.31 fof(f99,plain,(
% 0.13/0.31 ![X1]: ((((![X7]: ((~big_p(a)|big_p(X7))|big_r(X7,f1(X7))))|~big_p(a))|big_p(X1))|big_r(X1,f3(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f8])).
% 0.13/0.31 fof(f100,plain,(
% 0.13/0.31 ![X0,X1]: (~big_p(a)|big_p(X0)|big_r(X0,f1(X0))|~big_p(a)|big_p(X1)|big_r(X1,f3(X1)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f99])).
% 0.13/0.31 fof(f101,plain,(
% 0.13/0.31 ![X1]: ((((![X7]: ((~big_p(a)|big_p(X7))|big_r(X7,f1(X7))))|~big_p(a))|big_p(X1))|big_r(f3(X1),f4(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f9])).
% 0.13/0.31 fof(f102,plain,(
% 0.13/0.31 ![X0,X1]: (~big_p(a)|big_p(X0)|big_r(X0,f1(X0))|~big_p(a)|big_p(X1)|big_r(f3(X1),f4(X1)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f101])).
% 0.13/0.31 fof(f103,plain,(
% 0.13/0.31 ![X1]: ((![X2]: ((((![X7]: ((~big_p(a)|big_p(X7))|big_r(X7,f1(X7))))|~big_p(a))|~big_p(X2))|~big_r(X1,X2)))|big_p(f6(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f10])).
% 0.13/0.31 fof(f104,plain,(
% 0.13/0.31 ![X0,X1,X2]: (~big_p(a)|big_p(X0)|big_r(X0,f1(X0))|~big_p(a)|~big_p(X1)|~big_r(X2,X1)|big_p(f6(X2)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f103])).
% 0.13/0.31 fof(f105,plain,(
% 0.13/0.31 ![X1]: ((![X2]: ((((![X7]: ((~big_p(a)|big_p(X7))|big_r(X7,f1(X7))))|~big_p(a))|~big_p(X2))|~big_r(X1,X2)))|big_r(X1,f5(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f11])).
% 0.13/0.31 fof(f106,plain,(
% 0.13/0.31 ![X0,X1,X2]: (~big_p(a)|big_p(X0)|big_r(X0,f1(X0))|~big_p(a)|~big_p(X1)|~big_r(X2,X1)|big_r(X2,f5(X2)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f105])).
% 0.13/0.31 fof(f107,plain,(
% 0.13/0.31 ![X1]: ((![X2]: ((((![X7]: ((~big_p(a)|big_p(X7))|big_r(X7,f1(X7))))|~big_p(a))|~big_p(X2))|~big_r(X1,X2)))|big_r(f5(X1),f6(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f12])).
% 0.13/0.31 fof(f108,plain,(
% 0.13/0.31 ![X0,X1,X2]: (~big_p(a)|big_p(X0)|big_r(X0,f1(X0))|~big_p(a)|~big_p(X1)|~big_r(X2,X1)|big_r(f5(X2),f6(X2)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f107])).
% 0.13/0.31 fof(f109,plain,(
% 0.13/0.31 ![X1]: ((((![X7]: ((~big_p(a)|big_p(X7))|big_r(f1(X7),f2(X7))))|~big_p(a))|big_p(X1))|big_p(f4(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f13])).
% 0.13/0.31 fof(f110,plain,(
% 0.13/0.31 ![X0,X1]: (~big_p(a)|big_p(X0)|big_r(f1(X0),f2(X0))|~big_p(a)|big_p(X1)|big_p(f4(X1)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f109])).
% 0.13/0.31 fof(f111,plain,(
% 0.13/0.31 ![X1]: ((((![X7]: ((~big_p(a)|big_p(X7))|big_r(f1(X7),f2(X7))))|~big_p(a))|big_p(X1))|big_r(X1,f3(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f14])).
% 0.13/0.31 fof(f112,plain,(
% 0.13/0.31 ![X0,X1]: (~big_p(a)|big_p(X0)|big_r(f1(X0),f2(X0))|~big_p(a)|big_p(X1)|big_r(X1,f3(X1)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f111])).
% 0.13/0.31 fof(f113,plain,(
% 0.13/0.31 ![X1]: ((((![X7]: ((~big_p(a)|big_p(X7))|big_r(f1(X7),f2(X7))))|~big_p(a))|big_p(X1))|big_r(f3(X1),f4(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f15])).
% 0.13/0.31 fof(f114,plain,(
% 0.13/0.31 ![X0,X1]: (~big_p(a)|big_p(X0)|big_r(f1(X0),f2(X0))|~big_p(a)|big_p(X1)|big_r(f3(X1),f4(X1)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f113])).
% 0.13/0.31 fof(f115,plain,(
% 0.13/0.31 ![X1]: ((![X2]: ((((![X7]: ((~big_p(a)|big_p(X7))|big_r(f1(X7),f2(X7))))|~big_p(a))|~big_p(X2))|~big_r(X1,X2)))|big_p(f6(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f16])).
% 0.13/0.31 fof(f116,plain,(
% 0.13/0.31 ![X0,X1,X2]: (~big_p(a)|big_p(X0)|big_r(f1(X0),f2(X0))|~big_p(a)|~big_p(X1)|~big_r(X2,X1)|big_p(f6(X2)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f115])).
% 0.13/0.31 fof(f117,plain,(
% 0.13/0.31 ![X1]: ((![X2]: ((((![X7]: ((~big_p(a)|big_p(X7))|big_r(f1(X7),f2(X7))))|~big_p(a))|~big_p(X2))|~big_r(X1,X2)))|big_r(X1,f5(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f17])).
% 0.13/0.31 fof(f118,plain,(
% 0.13/0.31 ![X0,X1,X2]: (~big_p(a)|big_p(X0)|big_r(f1(X0),f2(X0))|~big_p(a)|~big_p(X1)|~big_r(X2,X1)|big_r(X2,f5(X2)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f117])).
% 0.13/0.31 fof(f119,plain,(
% 0.13/0.31 ![X1]: ((![X2]: ((((![X7]: ((~big_p(a)|big_p(X7))|big_r(f1(X7),f2(X7))))|~big_p(a))|~big_p(X2))|~big_r(X1,X2)))|big_r(f5(X1),f6(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f18])).
% 0.13/0.31 fof(f120,plain,(
% 0.13/0.31 ![X0,X1,X2]: (~big_p(a)|big_p(X0)|big_r(f1(X0),f2(X0))|~big_p(a)|~big_p(X1)|~big_r(X2,X1)|big_r(f5(X2),f6(X2)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f119])).
% 0.13/0.31 fof(f121,plain,(
% 0.13/0.31 ![X1]: ((((![X7]: ((![X8]: ((~big_p(a)|~big_p(X8))|~big_r(X7,X8)))|big_p(f2(X7))))|~big_p(a))|big_p(X1))|big_p(f4(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f19])).
% 0.13/0.31 fof(f122,plain,(
% 0.13/0.31 ![X0,X1,X2]: (~big_p(a)|~big_p(X0)|~big_r(X1,X0)|big_p(f2(X1))|~big_p(a)|big_p(X2)|big_p(f4(X2)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f121])).
% 0.13/0.31 fof(f123,plain,(
% 0.13/0.31 ![X1]: ((((![X7]: ((![X8]: ((~big_p(a)|~big_p(X8))|~big_r(X7,X8)))|big_p(f2(X7))))|~big_p(a))|big_p(X1))|big_r(X1,f3(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f20])).
% 0.13/0.31 fof(f124,plain,(
% 0.13/0.31 ![X0,X1,X2]: (~big_p(a)|~big_p(X0)|~big_r(X1,X0)|big_p(f2(X1))|~big_p(a)|big_p(X2)|big_r(X2,f3(X2)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f123])).
% 0.13/0.31 fof(f125,plain,(
% 0.13/0.31 ![X1]: ((((![X7]: ((![X8]: ((~big_p(a)|~big_p(X8))|~big_r(X7,X8)))|big_p(f2(X7))))|~big_p(a))|big_p(X1))|big_r(f3(X1),f4(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f21])).
% 0.13/0.31 fof(f126,plain,(
% 0.13/0.31 ![X0,X1,X2]: (~big_p(a)|~big_p(X0)|~big_r(X1,X0)|big_p(f2(X1))|~big_p(a)|big_p(X2)|big_r(f3(X2),f4(X2)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f125])).
% 0.13/0.31 fof(f127,plain,(
% 0.13/0.31 ![X1]: ((![X2]: ((((![X7]: ((![X8]: ((~big_p(a)|~big_p(X8))|~big_r(X7,X8)))|big_p(f2(X7))))|~big_p(a))|~big_p(X2))|~big_r(X1,X2)))|big_p(f6(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f22])).
% 0.13/0.31 fof(f128,plain,(
% 0.13/0.31 ![X0,X1,X2,X3]: (~big_p(a)|~big_p(X0)|~big_r(X1,X0)|big_p(f2(X1))|~big_p(a)|~big_p(X2)|~big_r(X3,X2)|big_p(f6(X3)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f127])).
% 0.13/0.31 fof(f129,plain,(
% 0.13/0.31 ![X1]: ((![X2]: ((((![X7]: ((![X8]: ((~big_p(a)|~big_p(X8))|~big_r(X7,X8)))|big_p(f2(X7))))|~big_p(a))|~big_p(X2))|~big_r(X1,X2)))|big_r(X1,f5(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f23])).
% 0.13/0.31 fof(f130,plain,(
% 0.13/0.31 ![X0,X1,X2,X3]: (~big_p(a)|~big_p(X0)|~big_r(X1,X0)|big_p(f2(X1))|~big_p(a)|~big_p(X2)|~big_r(X3,X2)|big_r(X3,f5(X3)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f129])).
% 0.13/0.31 fof(f131,plain,(
% 0.13/0.31 ![X1]: ((![X2]: ((((![X7]: ((![X8]: ((~big_p(a)|~big_p(X8))|~big_r(X7,X8)))|big_p(f2(X7))))|~big_p(a))|~big_p(X2))|~big_r(X1,X2)))|big_r(f5(X1),f6(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f24])).
% 0.13/0.31 fof(f132,plain,(
% 0.13/0.31 ![X0,X1,X2,X3]: (~big_p(a)|~big_p(X0)|~big_r(X1,X0)|big_p(f2(X1))|~big_p(a)|~big_p(X2)|~big_r(X3,X2)|big_r(f5(X3),f6(X3)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f131])).
% 0.13/0.31 fof(f133,plain,(
% 0.13/0.31 ![X1]: ((((![X7]: ((![X8]: ((~big_p(a)|~big_p(X8))|~big_r(X7,X8)))|big_r(X7,f1(X7))))|~big_p(a))|big_p(X1))|big_p(f4(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f25])).
% 0.13/0.31 fof(f134,plain,(
% 0.13/0.31 ![X0,X1,X2]: (~big_p(a)|~big_p(X0)|~big_r(X1,X0)|big_r(X1,f1(X1))|~big_p(a)|big_p(X2)|big_p(f4(X2)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f133])).
% 0.13/0.31 fof(f135,plain,(
% 0.13/0.31 ![X1]: ((((![X7]: ((![X8]: ((~big_p(a)|~big_p(X8))|~big_r(X7,X8)))|big_r(X7,f1(X7))))|~big_p(a))|big_p(X1))|big_r(X1,f3(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f26])).
% 0.13/0.31 fof(f136,plain,(
% 0.13/0.31 ![X0,X1,X2]: (~big_p(a)|~big_p(X0)|~big_r(X1,X0)|big_r(X1,f1(X1))|~big_p(a)|big_p(X2)|big_r(X2,f3(X2)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f135])).
% 0.13/0.31 fof(f137,plain,(
% 0.13/0.31 ![X1]: ((((![X7]: ((![X8]: ((~big_p(a)|~big_p(X8))|~big_r(X7,X8)))|big_r(X7,f1(X7))))|~big_p(a))|big_p(X1))|big_r(f3(X1),f4(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f27])).
% 0.13/0.31 fof(f138,plain,(
% 0.13/0.31 ![X0,X1,X2]: (~big_p(a)|~big_p(X0)|~big_r(X1,X0)|big_r(X1,f1(X1))|~big_p(a)|big_p(X2)|big_r(f3(X2),f4(X2)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f137])).
% 0.13/0.31 fof(f139,plain,(
% 0.13/0.31 ![X1]: ((![X2]: ((((![X7]: ((![X8]: ((~big_p(a)|~big_p(X8))|~big_r(X7,X8)))|big_r(X7,f1(X7))))|~big_p(a))|~big_p(X2))|~big_r(X1,X2)))|big_p(f6(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f28])).
% 0.13/0.31 fof(f140,plain,(
% 0.13/0.31 ![X0,X1,X2,X3]: (~big_p(a)|~big_p(X0)|~big_r(X1,X0)|big_r(X1,f1(X1))|~big_p(a)|~big_p(X2)|~big_r(X3,X2)|big_p(f6(X3)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f139])).
% 0.13/0.31 fof(f141,plain,(
% 0.13/0.31 ![X1]: ((![X2]: ((((![X7]: ((![X8]: ((~big_p(a)|~big_p(X8))|~big_r(X7,X8)))|big_r(X7,f1(X7))))|~big_p(a))|~big_p(X2))|~big_r(X1,X2)))|big_r(X1,f5(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f29])).
% 0.13/0.31 fof(f142,plain,(
% 0.13/0.31 ![X0,X1,X2,X3]: (~big_p(a)|~big_p(X0)|~big_r(X1,X0)|big_r(X1,f1(X1))|~big_p(a)|~big_p(X2)|~big_r(X3,X2)|big_r(X3,f5(X3)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f141])).
% 0.13/0.31 fof(f143,plain,(
% 0.13/0.31 ![X1]: ((![X2]: ((((![X7]: ((![X8]: ((~big_p(a)|~big_p(X8))|~big_r(X7,X8)))|big_r(X7,f1(X7))))|~big_p(a))|~big_p(X2))|~big_r(X1,X2)))|big_r(f5(X1),f6(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f30])).
% 0.13/0.31 fof(f144,plain,(
% 0.13/0.31 ![X0,X1,X2,X3]: (~big_p(a)|~big_p(X0)|~big_r(X1,X0)|big_r(X1,f1(X1))|~big_p(a)|~big_p(X2)|~big_r(X3,X2)|big_r(f5(X3),f6(X3)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f143])).
% 0.13/0.31 fof(f145,plain,(
% 0.13/0.31 ![X1]: ((((![X7]: ((![X8]: ((~big_p(a)|~big_p(X8))|~big_r(X7,X8)))|big_r(f1(X7),f2(X7))))|~big_p(a))|big_p(X1))|big_p(f4(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f31])).
% 0.13/0.31 fof(f146,plain,(
% 0.13/0.31 ![X0,X1,X2]: (~big_p(a)|~big_p(X0)|~big_r(X1,X0)|big_r(f1(X1),f2(X1))|~big_p(a)|big_p(X2)|big_p(f4(X2)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f145])).
% 0.13/0.31 fof(f147,plain,(
% 0.13/0.31 ![X1]: ((((![X7]: ((![X8]: ((~big_p(a)|~big_p(X8))|~big_r(X7,X8)))|big_r(f1(X7),f2(X7))))|~big_p(a))|big_p(X1))|big_r(X1,f3(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f32])).
% 0.13/0.31 fof(f148,plain,(
% 0.13/0.31 ![X0,X1,X2]: (~big_p(a)|~big_p(X0)|~big_r(X1,X0)|big_r(f1(X1),f2(X1))|~big_p(a)|big_p(X2)|big_r(X2,f3(X2)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f147])).
% 0.13/0.31 fof(f149,plain,(
% 0.13/0.31 ![X1]: ((((![X7]: ((![X8]: ((~big_p(a)|~big_p(X8))|~big_r(X7,X8)))|big_r(f1(X7),f2(X7))))|~big_p(a))|big_p(X1))|big_r(f3(X1),f4(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f33])).
% 0.13/0.31 fof(f150,plain,(
% 0.13/0.31 ![X0,X1,X2]: (~big_p(a)|~big_p(X0)|~big_r(X1,X0)|big_r(f1(X1),f2(X1))|~big_p(a)|big_p(X2)|big_r(f3(X2),f4(X2)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f149])).
% 0.13/0.31 fof(f151,plain,(
% 0.13/0.31 ![X1]: ((![X2]: ((((![X7]: ((![X8]: ((~big_p(a)|~big_p(X8))|~big_r(X7,X8)))|big_r(f1(X7),f2(X7))))|~big_p(a))|~big_p(X2))|~big_r(X1,X2)))|big_p(f6(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f34])).
% 0.13/0.31 fof(f152,plain,(
% 0.13/0.31 ![X0,X1,X2,X3]: (~big_p(a)|~big_p(X0)|~big_r(X1,X0)|big_r(f1(X1),f2(X1))|~big_p(a)|~big_p(X2)|~big_r(X3,X2)|big_p(f6(X3)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f151])).
% 0.13/0.31 fof(f153,plain,(
% 0.13/0.31 ![X1]: ((![X2]: ((((![X7]: ((![X8]: ((~big_p(a)|~big_p(X8))|~big_r(X7,X8)))|big_r(f1(X7),f2(X7))))|~big_p(a))|~big_p(X2))|~big_r(X1,X2)))|big_r(X1,f5(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f35])).
% 0.13/0.31 fof(f154,plain,(
% 0.13/0.31 ![X0,X1,X2,X3]: (~big_p(a)|~big_p(X0)|~big_r(X1,X0)|big_r(f1(X1),f2(X1))|~big_p(a)|~big_p(X2)|~big_r(X3,X2)|big_r(X3,f5(X3)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f153])).
% 0.13/0.31 fof(f155,plain,(
% 0.13/0.31 ![X1]: ((![X2]: ((((![X7]: ((![X8]: ((~big_p(a)|~big_p(X8))|~big_r(X7,X8)))|big_r(f1(X7),f2(X7))))|~big_p(a))|~big_p(X2))|~big_r(X1,X2)))|big_r(f5(X1),f6(X1)))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f36])).
% 0.13/0.31 fof(f156,plain,(
% 0.13/0.31 ![X0,X1,X2,X3]: (~big_p(a)|~big_p(X0)|~big_r(X1,X0)|big_r(f1(X1),f2(X1))|~big_p(a)|~big_p(X2)|~big_r(X3,X2)|big_r(f5(X3),f6(X3)))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f155])).
% 0.13/0.31 fof(f157,plain,(
% 0.13/0.31 big_p(a)|big_p(a)|big_p(a)),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f37])).
% 0.13/0.31 fof(f178,plain,(
% 0.13/0.31 ~big_p(c2)|big_p(c1)|~big_p(c4)|big_p(c3)),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f54])).
% 0.13/0.31 fof(f179,plain,(
% 0.13/0.31 ~big_p(c2)|big_p(c1)|~big_p(c4)|big_r(c4,c3)),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f55])).
% 0.13/0.31 fof(f187,plain,(
% 0.13/0.31 ![X5,X6]: ((((![X3,X4]: ((((~big_p(c2)|big_p(c1))|~big_p(X3))|~big_r(c4,X4))|~big_r(X4,X3)))|~big_p(X5))|~big_r(c4,X6))|~big_r(X6,X5))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f60])).
% 0.13/0.31 fof(f188,plain,(
% 0.13/0.31 ![X0,X1,X2,X3]: (~big_p(c2)|big_p(c1)|~big_p(X0)|~big_r(c4,X1)|~big_r(X1,X0)|~big_p(X2)|~big_r(c4,X3)|~big_r(X3,X2))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f187])).
% 0.13/0.31 fof(f194,plain,(
% 0.13/0.31 ~big_p(c2)|big_r(c2,c1)|~big_p(c4)|big_p(c3)),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f66])).
% 0.13/0.31 fof(f195,plain,(
% 0.13/0.31 ~big_p(c2)|big_r(c2,c1)|~big_p(c4)|big_r(c4,c3)),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f67])).
% 0.13/0.31 fof(f203,plain,(
% 0.13/0.31 ![X5,X6]: ((((![X3,X4]: ((((~big_p(c2)|big_r(c2,c1))|~big_p(X3))|~big_r(c4,X4))|~big_r(X4,X3)))|~big_p(X5))|~big_r(c4,X6))|~big_r(X6,X5))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f72])).
% 0.13/0.31 fof(f204,plain,(
% 0.13/0.31 ![X0,X1,X2,X3]: (~big_p(c2)|big_r(c2,c1)|~big_p(X0)|~big_r(c4,X1)|~big_r(X1,X0)|~big_p(X2)|~big_r(c4,X3)|~big_r(X3,X2))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f203])).
% 0.13/0.31 fof(f215,plain,(
% 0.13/0.31 ((![X9,X10]: ((~big_p(X9)|~big_r(c2,X10))|~big_r(X10,X9)))|~big_p(c4))|big_p(c3)),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f78])).
% 0.13/0.31 fof(f216,plain,(
% 0.13/0.31 ![X0,X1]: (~big_p(X0)|~big_r(c2,X1)|~big_r(X1,X0)|~big_p(c4)|big_p(c3))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f215])).
% 0.13/0.31 fof(f217,plain,(
% 0.13/0.31 ((![X9,X10]: ((~big_p(X9)|~big_r(c2,X10))|~big_r(X10,X9)))|~big_p(c4))|big_r(c4,c3)),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f79])).
% 0.13/0.31 fof(f218,plain,(
% 0.13/0.31 ![X0,X1]: (~big_p(X0)|~big_r(c2,X1)|~big_r(X1,X0)|~big_p(c4)|big_r(c4,c3))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f217])).
% 0.13/0.31 fof(f227,plain,(
% 0.13/0.31 ![X5,X6]: ((((![X3,X4]: ((((![X9,X10]: ((~big_p(X9)|~big_r(c2,X10))|~big_r(X10,X9)))|~big_p(X3))|~big_r(c4,X4))|~big_r(X4,X3)))|~big_p(X5))|~big_r(c4,X6))|~big_r(X6,X5))),
% 0.13/0.31 inference(miniscoping,[status(esa)],[f84])).
% 0.13/0.31 fof(f228,plain,(
% 0.13/0.31 ![X0,X1,X2,X3,X4,X5]: (~big_p(X0)|~big_r(c2,X1)|~big_r(X1,X0)|~big_p(X2)|~big_r(c4,X3)|~big_r(X3,X2)|~big_p(X4)|~big_r(c4,X5)|~big_r(X5,X4))),
% 0.13/0.31 inference(cnf_transformation,[status(esa)],[f227])).
% 0.13/0.31 fof(f229,plain,(
% 0.13/0.31 spl0_0 <=> big_p(a)),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f232,plain,(
% 0.13/0.31 spl0_1 <=> big_p(X0)|big_p(f2(X0))),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f233,plain,(
% 0.13/0.31 ![X0]: (big_p(X0)|big_p(f2(X0))|~spl0_1)),
% 0.13/0.31 inference(component_clause,[status(thm)],[f232])).
% 0.13/0.31 fof(f235,plain,(
% 0.13/0.31 spl0_2 <=> big_p(X1)|big_p(f4(X1))),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f236,plain,(
% 0.13/0.31 ![X0]: (big_p(X0)|big_p(f4(X0))|~spl0_2)),
% 0.13/0.31 inference(component_clause,[status(thm)],[f235])).
% 0.13/0.31 fof(f238,plain,(
% 0.13/0.31 ~spl0_0|spl0_1|spl0_2),
% 0.13/0.31 inference(split_clause,[status(thm)],[f86,f229,f232,f235])).
% 0.13/0.31 fof(f239,plain,(
% 0.13/0.31 spl0_3 <=> big_p(X1)|big_r(X1,f3(X1))),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f240,plain,(
% 0.13/0.31 ![X0]: (big_p(X0)|big_r(X0,f3(X0))|~spl0_3)),
% 0.13/0.31 inference(component_clause,[status(thm)],[f239])).
% 0.13/0.31 fof(f242,plain,(
% 0.13/0.31 ~spl0_0|spl0_1|spl0_3),
% 0.13/0.31 inference(split_clause,[status(thm)],[f88,f229,f232,f239])).
% 0.13/0.31 fof(f243,plain,(
% 0.13/0.31 spl0_4 <=> big_p(X1)|big_r(f3(X1),f4(X1))),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f244,plain,(
% 0.13/0.31 ![X0]: (big_p(X0)|big_r(f3(X0),f4(X0))|~spl0_4)),
% 0.13/0.31 inference(component_clause,[status(thm)],[f243])).
% 0.13/0.31 fof(f246,plain,(
% 0.13/0.31 ~spl0_0|spl0_1|spl0_4),
% 0.13/0.31 inference(split_clause,[status(thm)],[f90,f229,f232,f243])).
% 0.13/0.31 fof(f247,plain,(
% 0.13/0.31 spl0_5 <=> ~big_p(X1)|~big_r(X2,X1)|big_p(f6(X2))),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f248,plain,(
% 0.13/0.31 ![X0,X1]: (~big_p(X0)|~big_r(X1,X0)|big_p(f6(X1))|~spl0_5)),
% 0.13/0.31 inference(component_clause,[status(thm)],[f247])).
% 0.13/0.31 fof(f250,plain,(
% 0.13/0.31 ~spl0_0|spl0_1|spl0_5),
% 0.13/0.31 inference(split_clause,[status(thm)],[f92,f229,f232,f247])).
% 0.13/0.31 fof(f251,plain,(
% 0.13/0.31 spl0_6 <=> ~big_p(X1)|~big_r(X2,X1)|big_r(X2,f5(X2))),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f252,plain,(
% 0.13/0.31 ![X0,X1]: (~big_p(X0)|~big_r(X1,X0)|big_r(X1,f5(X1))|~spl0_6)),
% 0.13/0.31 inference(component_clause,[status(thm)],[f251])).
% 0.13/0.31 fof(f254,plain,(
% 0.13/0.31 ~spl0_0|spl0_1|spl0_6),
% 0.13/0.31 inference(split_clause,[status(thm)],[f94,f229,f232,f251])).
% 0.13/0.31 fof(f255,plain,(
% 0.13/0.31 spl0_7 <=> ~big_p(X1)|~big_r(X2,X1)|big_r(f5(X2),f6(X2))),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f256,plain,(
% 0.13/0.31 ![X0,X1]: (~big_p(X0)|~big_r(X1,X0)|big_r(f5(X1),f6(X1))|~spl0_7)),
% 0.13/0.31 inference(component_clause,[status(thm)],[f255])).
% 0.13/0.31 fof(f258,plain,(
% 0.13/0.31 ~spl0_0|spl0_1|spl0_7),
% 0.13/0.31 inference(split_clause,[status(thm)],[f96,f229,f232,f255])).
% 0.13/0.31 fof(f259,plain,(
% 0.13/0.31 spl0_8 <=> big_p(X0)|big_r(X0,f1(X0))),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f260,plain,(
% 0.13/0.31 ![X0]: (big_p(X0)|big_r(X0,f1(X0))|~spl0_8)),
% 0.13/0.31 inference(component_clause,[status(thm)],[f259])).
% 0.13/0.31 fof(f262,plain,(
% 0.13/0.31 ~spl0_0|spl0_8|spl0_2),
% 0.13/0.31 inference(split_clause,[status(thm)],[f98,f229,f259,f235])).
% 0.13/0.31 fof(f263,plain,(
% 0.13/0.31 ~spl0_0|spl0_8|spl0_3),
% 0.13/0.31 inference(split_clause,[status(thm)],[f100,f229,f259,f239])).
% 0.13/0.31 fof(f264,plain,(
% 0.13/0.31 ~spl0_0|spl0_8|spl0_4),
% 0.13/0.31 inference(split_clause,[status(thm)],[f102,f229,f259,f243])).
% 0.13/0.31 fof(f265,plain,(
% 0.13/0.31 ~spl0_0|spl0_8|spl0_5),
% 0.13/0.31 inference(split_clause,[status(thm)],[f104,f229,f259,f247])).
% 0.13/0.31 fof(f266,plain,(
% 0.13/0.31 ~spl0_0|spl0_8|spl0_6),
% 0.13/0.31 inference(split_clause,[status(thm)],[f106,f229,f259,f251])).
% 0.13/0.31 fof(f267,plain,(
% 0.13/0.31 ~spl0_0|spl0_8|spl0_7),
% 0.13/0.31 inference(split_clause,[status(thm)],[f108,f229,f259,f255])).
% 0.13/0.31 fof(f268,plain,(
% 0.13/0.31 spl0_9 <=> big_p(X0)|big_r(f1(X0),f2(X0))),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f269,plain,(
% 0.13/0.31 ![X0]: (big_p(X0)|big_r(f1(X0),f2(X0))|~spl0_9)),
% 0.13/0.31 inference(component_clause,[status(thm)],[f268])).
% 0.13/0.31 fof(f271,plain,(
% 0.13/0.31 ~spl0_0|spl0_9|spl0_2),
% 0.13/0.31 inference(split_clause,[status(thm)],[f110,f229,f268,f235])).
% 0.13/0.31 fof(f272,plain,(
% 0.13/0.31 ~spl0_0|spl0_9|spl0_3),
% 0.13/0.31 inference(split_clause,[status(thm)],[f112,f229,f268,f239])).
% 0.13/0.31 fof(f273,plain,(
% 0.13/0.31 ~spl0_0|spl0_9|spl0_4),
% 0.13/0.31 inference(split_clause,[status(thm)],[f114,f229,f268,f243])).
% 0.13/0.31 fof(f274,plain,(
% 0.13/0.31 ~spl0_0|spl0_9|spl0_5),
% 0.13/0.31 inference(split_clause,[status(thm)],[f116,f229,f268,f247])).
% 0.13/0.31 fof(f275,plain,(
% 0.13/0.31 ~spl0_0|spl0_9|spl0_6),
% 0.13/0.31 inference(split_clause,[status(thm)],[f118,f229,f268,f251])).
% 0.13/0.31 fof(f276,plain,(
% 0.13/0.31 ~spl0_0|spl0_9|spl0_7),
% 0.13/0.31 inference(split_clause,[status(thm)],[f120,f229,f268,f255])).
% 0.13/0.31 fof(f277,plain,(
% 0.13/0.31 spl0_10 <=> ~big_p(X0)|~big_r(X1,X0)|big_p(f2(X1))),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f278,plain,(
% 0.13/0.31 ![X0,X1]: (~big_p(X0)|~big_r(X1,X0)|big_p(f2(X1))|~spl0_10)),
% 0.13/0.31 inference(component_clause,[status(thm)],[f277])).
% 0.13/0.31 fof(f280,plain,(
% 0.13/0.31 ~spl0_0|spl0_10|spl0_2),
% 0.13/0.31 inference(split_clause,[status(thm)],[f122,f229,f277,f235])).
% 0.13/0.31 fof(f281,plain,(
% 0.13/0.31 ~spl0_0|spl0_10|spl0_3),
% 0.13/0.31 inference(split_clause,[status(thm)],[f124,f229,f277,f239])).
% 0.13/0.31 fof(f282,plain,(
% 0.13/0.31 ~spl0_0|spl0_10|spl0_4),
% 0.13/0.31 inference(split_clause,[status(thm)],[f126,f229,f277,f243])).
% 0.13/0.31 fof(f283,plain,(
% 0.13/0.31 ~spl0_0|spl0_10|spl0_5),
% 0.13/0.31 inference(split_clause,[status(thm)],[f128,f229,f277,f247])).
% 0.13/0.31 fof(f284,plain,(
% 0.13/0.31 ~spl0_0|spl0_10|spl0_6),
% 0.13/0.31 inference(split_clause,[status(thm)],[f130,f229,f277,f251])).
% 0.13/0.31 fof(f285,plain,(
% 0.13/0.31 ~spl0_0|spl0_10|spl0_7),
% 0.13/0.31 inference(split_clause,[status(thm)],[f132,f229,f277,f255])).
% 0.13/0.31 fof(f286,plain,(
% 0.13/0.31 spl0_11 <=> ~big_p(X0)|~big_r(X1,X0)|big_r(X1,f1(X1))),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f287,plain,(
% 0.13/0.31 ![X0,X1]: (~big_p(X0)|~big_r(X1,X0)|big_r(X1,f1(X1))|~spl0_11)),
% 0.13/0.31 inference(component_clause,[status(thm)],[f286])).
% 0.13/0.31 fof(f289,plain,(
% 0.13/0.31 ~spl0_0|spl0_11|spl0_2),
% 0.13/0.31 inference(split_clause,[status(thm)],[f134,f229,f286,f235])).
% 0.13/0.31 fof(f290,plain,(
% 0.13/0.31 ~spl0_0|spl0_11|spl0_3),
% 0.13/0.31 inference(split_clause,[status(thm)],[f136,f229,f286,f239])).
% 0.13/0.31 fof(f291,plain,(
% 0.13/0.31 ~spl0_0|spl0_11|spl0_4),
% 0.13/0.31 inference(split_clause,[status(thm)],[f138,f229,f286,f243])).
% 0.13/0.31 fof(f292,plain,(
% 0.13/0.31 ~spl0_0|spl0_11|spl0_5),
% 0.13/0.31 inference(split_clause,[status(thm)],[f140,f229,f286,f247])).
% 0.13/0.31 fof(f293,plain,(
% 0.13/0.31 ~spl0_0|spl0_11|spl0_6),
% 0.13/0.31 inference(split_clause,[status(thm)],[f142,f229,f286,f251])).
% 0.13/0.31 fof(f294,plain,(
% 0.13/0.31 ~spl0_0|spl0_11|spl0_7),
% 0.13/0.31 inference(split_clause,[status(thm)],[f144,f229,f286,f255])).
% 0.13/0.31 fof(f295,plain,(
% 0.13/0.31 spl0_12 <=> ~big_p(X0)|~big_r(X1,X0)|big_r(f1(X1),f2(X1))),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f296,plain,(
% 0.13/0.31 ![X0,X1]: (~big_p(X0)|~big_r(X1,X0)|big_r(f1(X1),f2(X1))|~spl0_12)),
% 0.13/0.31 inference(component_clause,[status(thm)],[f295])).
% 0.13/0.31 fof(f298,plain,(
% 0.13/0.31 ~spl0_0|spl0_12|spl0_2),
% 0.13/0.31 inference(split_clause,[status(thm)],[f146,f229,f295,f235])).
% 0.13/0.31 fof(f299,plain,(
% 0.13/0.31 ~spl0_0|spl0_12|spl0_3),
% 0.13/0.31 inference(split_clause,[status(thm)],[f148,f229,f295,f239])).
% 0.13/0.31 fof(f300,plain,(
% 0.13/0.31 ~spl0_0|spl0_12|spl0_4),
% 0.13/0.31 inference(split_clause,[status(thm)],[f150,f229,f295,f243])).
% 0.13/0.31 fof(f301,plain,(
% 0.13/0.31 ~spl0_0|spl0_12|spl0_5),
% 0.13/0.31 inference(split_clause,[status(thm)],[f152,f229,f295,f247])).
% 0.13/0.31 fof(f302,plain,(
% 0.13/0.31 ~spl0_0|spl0_12|spl0_6),
% 0.13/0.31 inference(split_clause,[status(thm)],[f154,f229,f295,f251])).
% 0.13/0.31 fof(f303,plain,(
% 0.13/0.31 ~spl0_0|spl0_12|spl0_7),
% 0.13/0.31 inference(split_clause,[status(thm)],[f156,f229,f295,f255])).
% 0.13/0.31 fof(f304,plain,(
% 0.13/0.31 spl0_0),
% 0.13/0.31 inference(split_clause,[status(thm)],[f157,f229])).
% 0.13/0.31 fof(f305,plain,(
% 0.13/0.31 spl0_13 <=> big_p(c3)),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f306,plain,(
% 0.13/0.31 big_p(c3)|~spl0_13),
% 0.13/0.31 inference(component_clause,[status(thm)],[f305])).
% 0.13/0.31 fof(f309,plain,(
% 0.13/0.31 spl0_14 <=> big_r(c4,c3)),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f310,plain,(
% 0.13/0.31 big_r(c4,c3)|~spl0_14),
% 0.13/0.31 inference(component_clause,[status(thm)],[f309])).
% 0.13/0.31 fof(f313,plain,(
% 0.13/0.31 spl0_15 <=> ~big_p(X0)|~big_r(c4,X1)|~big_r(X1,X0)),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f314,plain,(
% 0.13/0.31 ![X0,X1]: (~big_p(X0)|~big_r(c4,X1)|~big_r(X1,X0)|~spl0_15)),
% 0.13/0.31 inference(component_clause,[status(thm)],[f313])).
% 0.13/0.31 fof(f317,plain,(
% 0.13/0.31 spl0_16 <=> big_p(c4)),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f319,plain,(
% 0.13/0.31 ~big_p(c4)|spl0_16),
% 0.13/0.31 inference(component_clause,[status(thm)],[f317])).
% 0.13/0.31 fof(f328,plain,(
% 0.13/0.31 spl0_17 <=> big_p(c2)),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f330,plain,(
% 0.13/0.31 ~big_p(c2)|spl0_17),
% 0.13/0.31 inference(component_clause,[status(thm)],[f328])).
% 0.13/0.31 fof(f331,plain,(
% 0.13/0.31 spl0_18 <=> big_p(c1)),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f332,plain,(
% 0.13/0.31 big_p(c1)|~spl0_18),
% 0.13/0.31 inference(component_clause,[status(thm)],[f331])).
% 0.13/0.31 fof(f339,plain,(
% 0.13/0.31 ~spl0_17|spl0_18|~spl0_16|spl0_13),
% 0.13/0.31 inference(split_clause,[status(thm)],[f178,f328,f331,f317,f305])).
% 0.13/0.31 fof(f340,plain,(
% 0.13/0.31 ~spl0_17|spl0_18|~spl0_16|spl0_14),
% 0.13/0.31 inference(split_clause,[status(thm)],[f179,f328,f331,f317,f309])).
% 0.13/0.31 fof(f345,plain,(
% 0.13/0.31 ~spl0_17|spl0_18|spl0_15),
% 0.13/0.31 inference(split_clause,[status(thm)],[f188,f328,f331,f313])).
% 0.13/0.31 fof(f346,plain,(
% 0.13/0.31 spl0_19 <=> big_r(c2,c1)),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f347,plain,(
% 0.13/0.31 big_r(c2,c1)|~spl0_19),
% 0.13/0.31 inference(component_clause,[status(thm)],[f346])).
% 0.13/0.31 fof(f354,plain,(
% 0.13/0.31 ~spl0_17|spl0_19|~spl0_16|spl0_13),
% 0.13/0.31 inference(split_clause,[status(thm)],[f194,f328,f346,f317,f305])).
% 0.13/0.31 fof(f355,plain,(
% 0.13/0.31 ~spl0_17|spl0_19|~spl0_16|spl0_14),
% 0.13/0.31 inference(split_clause,[status(thm)],[f195,f328,f346,f317,f309])).
% 0.13/0.31 fof(f360,plain,(
% 0.13/0.31 ~spl0_17|spl0_19|spl0_15),
% 0.13/0.31 inference(split_clause,[status(thm)],[f204,f328,f346,f313])).
% 0.13/0.31 fof(f361,plain,(
% 0.13/0.31 spl0_20 <=> ~big_p(X0)|~big_r(c2,X1)|~big_r(X1,X0)),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f362,plain,(
% 0.13/0.31 ![X0,X1]: (~big_p(X0)|~big_r(c2,X1)|~big_r(X1,X0)|~spl0_20)),
% 0.13/0.31 inference(component_clause,[status(thm)],[f361])).
% 0.13/0.31 fof(f369,plain,(
% 0.13/0.31 spl0_20|~spl0_16|spl0_13),
% 0.13/0.31 inference(split_clause,[status(thm)],[f216,f361,f317,f305])).
% 0.13/0.31 fof(f370,plain,(
% 0.13/0.31 spl0_20|~spl0_16|spl0_14),
% 0.13/0.31 inference(split_clause,[status(thm)],[f218,f361,f317,f309])).
% 0.13/0.31 fof(f375,plain,(
% 0.13/0.31 spl0_20|spl0_15),
% 0.13/0.31 inference(split_clause,[status(thm)],[f228,f361,f313])).
% 0.13/0.31 fof(f376,plain,(
% 0.13/0.31 spl0_21 <=> ~big_p(X0)|~big_r(f1(c4),X0)),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f377,plain,(
% 0.13/0.31 ![X0]: (~big_p(X0)|~big_r(f1(c4),X0)|~spl0_21)),
% 0.13/0.31 inference(component_clause,[status(thm)],[f376])).
% 0.13/0.31 fof(f379,plain,(
% 0.13/0.31 ![X0]: (~big_p(X0)|~big_r(f1(c4),X0)|big_p(c4)|~spl0_15|~spl0_8)),
% 0.13/0.31 inference(resolution,[status(thm)],[f314,f260])).
% 0.13/0.31 fof(f380,plain,(
% 0.13/0.31 spl0_21|spl0_16|~spl0_15|~spl0_8),
% 0.13/0.31 inference(split_clause,[status(thm)],[f379,f376,f317,f313,f259])).
% 0.13/0.31 fof(f382,plain,(
% 0.13/0.31 big_r(c2,f3(c2))|~spl0_3|spl0_17),
% 0.13/0.31 inference(resolution,[status(thm)],[f240,f330])).
% 0.13/0.31 fof(f383,plain,(
% 0.13/0.31 spl0_22 <=> big_p(f2(c4))),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f385,plain,(
% 0.13/0.31 ~big_p(f2(c4))|spl0_22),
% 0.13/0.31 inference(component_clause,[status(thm)],[f383])).
% 0.13/0.31 fof(f386,plain,(
% 0.13/0.31 ~big_p(f2(c4))|big_p(c4)|~spl0_21|~spl0_9),
% 0.13/0.31 inference(resolution,[status(thm)],[f377,f269])).
% 0.13/0.31 fof(f387,plain,(
% 0.13/0.31 ~spl0_22|spl0_16|~spl0_21|~spl0_9),
% 0.13/0.31 inference(split_clause,[status(thm)],[f386,f383,f317,f376,f268])).
% 0.13/0.31 fof(f396,plain,(
% 0.13/0.31 spl0_25 <=> ~big_p(X0)|~big_r(c4,X0)),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f397,plain,(
% 0.13/0.31 ![X0]: (~big_p(X0)|~big_r(c4,X0)|~spl0_25)),
% 0.13/0.31 inference(component_clause,[status(thm)],[f396])).
% 0.13/0.31 fof(f399,plain,(
% 0.13/0.31 ![X0,X1]: (~big_p(X0)|~big_r(c4,X0)|~big_p(X1)|~big_r(f1(c4),X1)|~spl0_11|~spl0_15)),
% 0.13/0.31 inference(resolution,[status(thm)],[f287,f314])).
% 0.13/0.31 fof(f400,plain,(
% 0.13/0.31 spl0_25|spl0_21|~spl0_11|~spl0_15),
% 0.13/0.31 inference(split_clause,[status(thm)],[f399,f396,f376,f286,f313])).
% 0.13/0.31 fof(f401,plain,(
% 0.13/0.31 big_r(c4,f3(c4))|spl0_16|~spl0_3),
% 0.13/0.31 inference(resolution,[status(thm)],[f319,f240])).
% 0.13/0.31 fof(f402,plain,(
% 0.13/0.31 ![X0]: (~big_p(X0)|~big_r(c4,X0)|spl0_22|~spl0_10)),
% 0.13/0.31 inference(resolution,[status(thm)],[f385,f278])).
% 0.13/0.31 fof(f403,plain,(
% 0.13/0.31 big_p(c4)|spl0_22|~spl0_1),
% 0.13/0.31 inference(resolution,[status(thm)],[f385,f233])).
% 0.13/0.31 fof(f404,plain,(
% 0.13/0.31 $false|spl0_16|spl0_22|~spl0_1),
% 0.13/0.31 inference(forward_subsumption_resolution,[status(thm)],[f403,f319])).
% 0.13/0.31 fof(f405,plain,(
% 0.13/0.31 spl0_16|spl0_22|~spl0_1),
% 0.13/0.31 inference(contradiction_clause,[status(thm)],[f404])).
% 0.13/0.31 fof(f408,plain,(
% 0.13/0.31 ~big_p(c3)|~spl0_25|~spl0_14),
% 0.13/0.31 inference(resolution,[status(thm)],[f397,f310])).
% 0.13/0.31 fof(f409,plain,(
% 0.13/0.31 $false|~spl0_13|~spl0_25|~spl0_14),
% 0.13/0.31 inference(forward_subsumption_resolution,[status(thm)],[f408,f306])).
% 0.13/0.31 fof(f410,plain,(
% 0.13/0.31 ~spl0_13|~spl0_25|~spl0_14),
% 0.13/0.31 inference(contradiction_clause,[status(thm)],[f409])).
% 0.13/0.31 fof(f411,plain,(
% 0.13/0.31 ![X0]: (~big_p(X0)|~big_r(f3(c4),X0)|spl0_16|~spl0_3|~spl0_15)),
% 0.13/0.31 inference(resolution,[status(thm)],[f401,f314])).
% 0.13/0.31 fof(f412,plain,(
% 0.13/0.31 spl0_26 <=> big_p(f4(c4))),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f414,plain,(
% 0.13/0.31 ~big_p(f4(c4))|spl0_26),
% 0.13/0.31 inference(component_clause,[status(thm)],[f412])).
% 0.13/0.31 fof(f415,plain,(
% 0.13/0.31 big_p(c4)|~big_p(f4(c4))|~spl0_4|spl0_16|~spl0_3|~spl0_15),
% 0.13/0.31 inference(resolution,[status(thm)],[f244,f411])).
% 0.13/0.31 fof(f416,plain,(
% 0.13/0.31 spl0_16|~spl0_26|~spl0_4|~spl0_3|~spl0_15),
% 0.13/0.31 inference(split_clause,[status(thm)],[f415,f317,f412,f243,f239,f313])).
% 0.13/0.31 fof(f422,plain,(
% 0.13/0.31 spl0_27 <=> big_p(f1(f1(c4)))),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f425,plain,(
% 0.13/0.31 spl0_28 <=> big_p(f1(c4))),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f428,plain,(
% 0.13/0.31 ~big_p(f1(f1(c4)))|big_p(f1(c4))|~spl0_21|~spl0_8),
% 0.13/0.31 inference(resolution,[status(thm)],[f377,f260])).
% 0.13/0.31 fof(f429,plain,(
% 0.13/0.31 ~spl0_27|spl0_28|~spl0_21|~spl0_8),
% 0.13/0.31 inference(split_clause,[status(thm)],[f428,f422,f425,f376,f259])).
% 0.13/0.31 fof(f430,plain,(
% 0.13/0.31 ![X0]: (~big_p(X0)|~big_r(f3(c2),X0)|~spl0_20|~spl0_3|spl0_17)),
% 0.13/0.31 inference(resolution,[status(thm)],[f362,f382])).
% 0.13/0.31 fof(f433,plain,(
% 0.13/0.31 spl0_29 <=> big_p(f4(c2))),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f435,plain,(
% 0.13/0.31 ~big_p(f4(c2))|spl0_29),
% 0.13/0.31 inference(component_clause,[status(thm)],[f433])).
% 0.13/0.31 fof(f436,plain,(
% 0.13/0.31 ~big_p(f4(c2))|big_p(c2)|~spl0_20|~spl0_3|spl0_17|~spl0_4),
% 0.13/0.31 inference(resolution,[status(thm)],[f430,f244])).
% 0.13/0.31 fof(f437,plain,(
% 0.13/0.31 ~spl0_29|spl0_17|~spl0_20|~spl0_3|~spl0_4),
% 0.13/0.31 inference(split_clause,[status(thm)],[f436,f433,f328,f361,f239,f243])).
% 0.13/0.31 fof(f442,plain,(
% 0.13/0.31 spl0_30 <=> big_p(f3(c2))),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f445,plain,(
% 0.13/0.31 spl0_31 <=> big_r(c2,f5(c2))),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f446,plain,(
% 0.13/0.31 big_r(c2,f5(c2))|~spl0_31),
% 0.13/0.31 inference(component_clause,[status(thm)],[f445])).
% 0.13/0.31 fof(f448,plain,(
% 0.13/0.31 ~big_p(f3(c2))|big_r(c2,f5(c2))|~spl0_6|~spl0_3|spl0_17),
% 0.13/0.31 inference(resolution,[status(thm)],[f252,f382])).
% 0.13/0.31 fof(f449,plain,(
% 0.13/0.31 ~spl0_30|spl0_31|~spl0_6|~spl0_3|spl0_17),
% 0.13/0.31 inference(split_clause,[status(thm)],[f448,f442,f445,f251,f239,f328])).
% 0.13/0.31 fof(f450,plain,(
% 0.13/0.31 ~big_p(c1)|big_r(c2,f5(c2))|~spl0_6|~spl0_19),
% 0.13/0.31 inference(resolution,[status(thm)],[f252,f347])).
% 0.13/0.31 fof(f451,plain,(
% 0.13/0.31 ~spl0_18|spl0_31|~spl0_6|~spl0_19),
% 0.13/0.31 inference(split_clause,[status(thm)],[f450,f331,f445,f251,f346])).
% 0.13/0.31 fof(f452,plain,(
% 0.13/0.31 big_p(c2)|spl0_29|~spl0_2),
% 0.13/0.31 inference(resolution,[status(thm)],[f435,f236])).
% 0.13/0.31 fof(f453,plain,(
% 0.13/0.31 $false|spl0_17|spl0_29|~spl0_2),
% 0.13/0.31 inference(forward_subsumption_resolution,[status(thm)],[f452,f330])).
% 0.13/0.31 fof(f454,plain,(
% 0.13/0.31 spl0_17|spl0_29|~spl0_2),
% 0.13/0.31 inference(contradiction_clause,[status(thm)],[f453])).
% 0.13/0.31 fof(f456,plain,(
% 0.13/0.31 ![X0]: (~big_p(X0)|~big_r(f5(c2),X0)|~spl0_31|~spl0_20)),
% 0.13/0.31 inference(resolution,[status(thm)],[f446,f362])).
% 0.13/0.31 fof(f457,plain,(
% 0.13/0.31 spl0_32 <=> big_p(f1(c1))),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f462,plain,(
% 0.13/0.31 spl0_33 <=> ~big_p(X0)|~big_r(f1(c2),X0)),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f463,plain,(
% 0.13/0.31 ![X0]: (~big_p(X0)|~big_r(f1(c2),X0)|~spl0_33)),
% 0.13/0.31 inference(component_clause,[status(thm)],[f462])).
% 0.13/0.31 fof(f465,plain,(
% 0.13/0.31 ![X0]: (big_p(c2)|~big_p(X0)|~big_r(f1(c2),X0)|~spl0_8|~spl0_20)),
% 0.13/0.31 inference(resolution,[status(thm)],[f260,f362])).
% 0.13/0.31 fof(f466,plain,(
% 0.13/0.31 spl0_17|spl0_33|~spl0_8|~spl0_20),
% 0.13/0.31 inference(split_clause,[status(thm)],[f465,f328,f462,f259,f361])).
% 0.13/0.31 fof(f467,plain,(
% 0.13/0.31 big_p(c4)|~big_p(f1(c4))|~spl0_8|~spl0_25),
% 0.13/0.31 inference(resolution,[status(thm)],[f260,f397])).
% 0.13/0.31 fof(f468,plain,(
% 0.13/0.31 spl0_16|~spl0_28|~spl0_8|~spl0_25),
% 0.13/0.31 inference(split_clause,[status(thm)],[f467,f317,f425,f259,f396])).
% 0.13/0.31 fof(f471,plain,(
% 0.13/0.31 spl0_34 <=> ~big_p(X0)|~big_r(c1,X0)),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f472,plain,(
% 0.13/0.31 ![X0]: (~big_p(X0)|~big_r(c1,X0)|~spl0_34)),
% 0.13/0.31 inference(component_clause,[status(thm)],[f471])).
% 0.13/0.31 fof(f476,plain,(
% 0.13/0.31 spl0_35 <=> ~big_p(X0)|~big_r(c2,X0)),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f477,plain,(
% 0.13/0.31 ![X0]: (~big_p(X0)|~big_r(c2,X0)|~spl0_35)),
% 0.13/0.31 inference(component_clause,[status(thm)],[f476])).
% 0.13/0.31 fof(f479,plain,(
% 0.13/0.31 ![X0,X1]: (~big_p(X0)|~big_r(c2,X0)|~big_p(X1)|~big_r(f1(c2),X1)|~spl0_11|~spl0_20)),
% 0.13/0.31 inference(resolution,[status(thm)],[f287,f362])).
% 0.13/0.31 fof(f480,plain,(
% 0.13/0.31 spl0_35|spl0_33|~spl0_11|~spl0_20),
% 0.13/0.31 inference(split_clause,[status(thm)],[f479,f476,f462,f286,f361])).
% 0.13/0.31 fof(f492,plain,(
% 0.13/0.31 spl0_38 <=> ~big_p(X1)|~big_r(f5(c4),X1)),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f493,plain,(
% 0.13/0.31 ![X0]: (~big_p(X0)|~big_r(f5(c4),X0)|~spl0_38)),
% 0.13/0.31 inference(component_clause,[status(thm)],[f492])).
% 0.13/0.31 fof(f495,plain,(
% 0.13/0.31 ![X0,X1]: (~big_p(X0)|~big_r(c4,X0)|~big_p(X1)|~big_r(f5(c4),X1)|~spl0_6|~spl0_15)),
% 0.13/0.31 inference(resolution,[status(thm)],[f252,f314])).
% 0.13/0.31 fof(f496,plain,(
% 0.13/0.31 spl0_25|spl0_38|~spl0_6|~spl0_15),
% 0.13/0.31 inference(split_clause,[status(thm)],[f495,f396,f492,f251,f313])).
% 0.13/0.31 fof(f503,plain,(
% 0.13/0.31 big_p(c1)|~big_p(f1(c1))|~spl0_8|~spl0_34),
% 0.13/0.31 inference(resolution,[status(thm)],[f260,f472])).
% 0.13/0.31 fof(f504,plain,(
% 0.13/0.31 spl0_18|~spl0_32|~spl0_8|~spl0_34),
% 0.13/0.31 inference(split_clause,[status(thm)],[f503,f331,f457,f259,f471])).
% 0.13/0.31 fof(f505,plain,(
% 0.13/0.31 spl0_40 <=> big_p(f1(c2))),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f508,plain,(
% 0.13/0.31 big_p(c2)|~big_p(f1(c2))|~spl0_8|~spl0_35),
% 0.13/0.31 inference(resolution,[status(thm)],[f260,f477])).
% 0.13/0.31 fof(f509,plain,(
% 0.13/0.31 spl0_17|~spl0_40|~spl0_8|~spl0_35),
% 0.13/0.31 inference(split_clause,[status(thm)],[f508,f328,f505,f259,f476])).
% 0.13/0.31 fof(f514,plain,(
% 0.13/0.31 spl0_41 <=> big_p(f2(c2))),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f516,plain,(
% 0.13/0.31 ~big_p(f2(c2))|spl0_41),
% 0.13/0.31 inference(component_clause,[status(thm)],[f514])).
% 0.13/0.31 fof(f517,plain,(
% 0.13/0.31 ![X0]: (~big_p(f2(c2))|~big_p(X0)|~big_r(c2,X0)|~spl0_33|~spl0_12)),
% 0.13/0.31 inference(resolution,[status(thm)],[f463,f296])).
% 0.13/0.31 fof(f518,plain,(
% 0.13/0.31 ~spl0_41|spl0_35|~spl0_33|~spl0_12),
% 0.13/0.31 inference(split_clause,[status(thm)],[f517,f514,f476,f462,f295])).
% 0.13/0.31 fof(f524,plain,(
% 0.13/0.31 ![X0]: (~big_p(X0)|~big_r(c2,X0)|spl0_41|~spl0_10)),
% 0.13/0.31 inference(resolution,[status(thm)],[f516,f278])).
% 0.13/0.31 fof(f525,plain,(
% 0.13/0.31 spl0_35|spl0_41|~spl0_10),
% 0.13/0.31 inference(split_clause,[status(thm)],[f524,f476,f514,f277])).
% 0.13/0.31 fof(f526,plain,(
% 0.13/0.31 big_p(c2)|spl0_41|~spl0_1),
% 0.13/0.31 inference(resolution,[status(thm)],[f516,f233])).
% 0.13/0.31 fof(f527,plain,(
% 0.13/0.31 spl0_17|spl0_41|~spl0_1),
% 0.13/0.31 inference(split_clause,[status(thm)],[f526,f328,f514,f232])).
% 0.13/0.31 fof(f534,plain,(
% 0.13/0.31 ~big_p(c1)|~spl0_35|~spl0_19),
% 0.13/0.31 inference(resolution,[status(thm)],[f477,f347])).
% 0.13/0.31 fof(f535,plain,(
% 0.13/0.31 $false|~spl0_18|~spl0_35|~spl0_19),
% 0.13/0.31 inference(forward_subsumption_resolution,[status(thm)],[f534,f332])).
% 0.13/0.31 fof(f536,plain,(
% 0.13/0.31 ~spl0_18|~spl0_35|~spl0_19),
% 0.13/0.31 inference(contradiction_clause,[status(thm)],[f535])).
% 0.13/0.31 fof(f538,plain,(
% 0.13/0.31 big_p(c4)|~spl0_2|spl0_26),
% 0.13/0.31 inference(resolution,[status(thm)],[f236,f414])).
% 0.13/0.31 fof(f539,plain,(
% 0.13/0.31 spl0_16|~spl0_2|spl0_26),
% 0.13/0.31 inference(split_clause,[status(thm)],[f538,f317,f235,f412])).
% 0.13/0.31 fof(f557,plain,(
% 0.13/0.31 spl0_43 <=> big_p(f6(c2))),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f559,plain,(
% 0.13/0.31 ~big_p(f6(c2))|spl0_43),
% 0.13/0.31 inference(component_clause,[status(thm)],[f557])).
% 0.13/0.31 fof(f560,plain,(
% 0.13/0.31 ![X0]: (~big_p(f6(c2))|~big_p(X0)|~big_r(c2,X0)|~spl0_31|~spl0_20|~spl0_7)),
% 0.13/0.31 inference(resolution,[status(thm)],[f456,f256])).
% 0.13/0.31 fof(f561,plain,(
% 0.13/0.31 ~spl0_43|spl0_35|~spl0_31|~spl0_20|~spl0_7),
% 0.13/0.31 inference(split_clause,[status(thm)],[f560,f557,f476,f445,f361,f255])).
% 0.13/0.31 fof(f578,plain,(
% 0.13/0.31 spl0_46 <=> big_p(f6(c4))),
% 0.13/0.31 introduced(split_symbol_definition)).
% 0.13/0.31 fof(f580,plain,(
% 0.13/0.31 ~big_p(f6(c4))|spl0_46),
% 0.13/0.31 inference(component_clause,[status(thm)],[f578])).
% 0.13/0.31 fof(f581,plain,(
% 0.13/0.31 ![X0]: (~big_p(f6(c4))|~big_p(X0)|~big_r(c4,X0)|~spl0_38|~spl0_7)),
% 0.13/0.32 inference(resolution,[status(thm)],[f493,f256])).
% 0.13/0.32 fof(f582,plain,(
% 0.13/0.32 ~spl0_46|spl0_25|~spl0_38|~spl0_7),
% 0.13/0.32 inference(split_clause,[status(thm)],[f581,f578,f396,f492,f255])).
% 0.13/0.32 fof(f605,plain,(
% 0.13/0.32 ~big_p(f2(c2))|big_p(c2)|~spl0_33|~spl0_9),
% 0.13/0.32 inference(resolution,[status(thm)],[f463,f269])).
% 0.13/0.32 fof(f606,plain,(
% 0.13/0.32 ~spl0_41|spl0_17|~spl0_33|~spl0_9),
% 0.13/0.32 inference(split_clause,[status(thm)],[f605,f514,f328,f462,f268])).
% 0.13/0.32 fof(f613,plain,(
% 0.13/0.32 ![X0]: (~big_p(X0)|~big_r(c2,X0)|spl0_43|~spl0_5)),
% 0.13/0.32 inference(resolution,[status(thm)],[f559,f248])).
% 0.13/0.32 fof(f614,plain,(
% 0.13/0.32 spl0_35|spl0_43|~spl0_5),
% 0.13/0.32 inference(split_clause,[status(thm)],[f613,f476,f557,f247])).
% 0.13/0.32 fof(f615,plain,(
% 0.13/0.32 ![X0]: (~big_p(X0)|~big_r(c4,X0)|spl0_46|~spl0_5)),
% 0.13/0.32 inference(resolution,[status(thm)],[f580,f248])).
% 0.13/0.32 fof(f616,plain,(
% 0.13/0.32 ~big_p(c3)|spl0_46|~spl0_5|~spl0_14),
% 0.13/0.32 inference(resolution,[status(thm)],[f615,f310])).
% 0.13/0.32 fof(f617,plain,(
% 0.13/0.32 ~spl0_13|spl0_46|~spl0_5|~spl0_14),
% 0.13/0.32 inference(split_clause,[status(thm)],[f616,f305,f578,f247,f309])).
% 0.13/0.32 fof(f646,plain,(
% 0.13/0.32 spl0_25|spl0_22|~spl0_10),
% 0.13/0.32 inference(split_clause,[status(thm)],[f402,f396,f383,f277])).
% 0.13/0.32 fof(f647,plain,(
% 0.13/0.32 ![X0]: (~big_p(X0)|~big_r(c4,X0)|~big_p(f2(c4))|~spl0_12|~spl0_21)),
% 0.13/0.32 inference(resolution,[status(thm)],[f296,f377])).
% 0.13/0.32 fof(f648,plain,(
% 0.13/0.32 spl0_25|~spl0_22|~spl0_12|~spl0_21),
% 0.13/0.32 inference(split_clause,[status(thm)],[f647,f396,f383,f295,f376])).
% 0.13/0.32 fof(f651,plain,(
% 0.13/0.32 $false),
% 0.13/0.32 inference(sat_refutation,[status(thm)],[f238,f242,f246,f250,f254,f258,f262,f263,f264,f265,f266,f267,f271,f272,f273,f274,f275,f276,f280,f281,f282,f283,f284,f285,f289,f290,f291,f292,f293,f294,f298,f299,f300,f301,f302,f303,f304,f339,f340,f345,f354,f355,f360,f369,f370,f375,f380,f387,f400,f405,f410,f416,f429,f437,f449,f451,f454,f466,f468,f480,f496,f504,f509,f518,f525,f527,f536,f539,f561,f582,f606,f614,f617,f646,f648])).
% 0.13/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.32 % Elapsed time: 0.022233 seconds
% 0.13/0.32 % CPU time: 0.083872 seconds
% 0.13/0.32 % Total memory used: 5.526 MB
% 0.13/0.32 % Net memory used: 5.201 MB
%------------------------------------------------------------------------------