%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN067-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:18:52 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN067-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 10:44:34 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.39 % Refutation found
% 0.08/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.39 fof(f1,negated_conjecture,(
% 0.08/0.39 (![X7,X1]: (( ~ big_p(a)| big_p(X7)| big_p(f2(X7))| ~ big_p(a)| big_p(X1)| big_p(f4(X1)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f2,negated_conjecture,(
% 0.08/0.39 (![X7,X1]: (( ~ big_p(a)| big_p(X7)| big_p(f2(X7))| ~ big_p(a)| big_p(X1)| big_r(X1,f3(X1)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f3,negated_conjecture,(
% 0.08/0.39 (![X7,X1]: (( ~ big_p(a)| big_p(X7)| big_p(f2(X7))| ~ big_p(a)| big_p(X1)| big_r(f3(X1),f4(X1)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f4,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f5,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f6,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f7,negated_conjecture,(
% 0.08/0.39 (![X7,X1]: (( ~ big_p(a)| big_p(X7)| big_r(X7,f1(X7))| ~ big_p(a)| big_p(X1)| big_p(f4(X1)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f8,negated_conjecture,(
% 0.08/0.39 (![X7,X1]: (( ~ big_p(a)| big_p(X7)| big_r(X7,f1(X7))| ~ big_p(a)| big_p(X1)| big_r(X1,f3(X1)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f9,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f10,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f11,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f12,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f13,negated_conjecture,(
% 0.08/0.39 (![X7,X1]: (( ~ big_p(a)| big_p(X7)| big_r(f1(X7),f2(X7))| ~ big_p(a)| big_p(X1)| big_p(f4(X1)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f14,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f15,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f16,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f17,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f18,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f19,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f20,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f21,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f22,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f23,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f24,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f25,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f26,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f27,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f28,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f29,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f30,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f31,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f32,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f33,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f34,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f35,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f36,negated_conjecture,(
% 0.08/0.39 (![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)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f37,negated_conjecture,(
% 0.08/0.39 ( big_p(a)| big_p(a)| big_p(a) ) ),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f54,negated_conjecture,(
% 0.08/0.39 ( ~ big_p(c2)| big_p(c1)| ~ big_p(c4)| big_p(c3) ) ),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f55,negated_conjecture,(
% 0.08/0.39 ( ~ big_p(c2)| big_p(c1)| ~ big_p(c4)| big_r(c4,c3) ) ),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f60,negated_conjecture,(
% 0.08/0.39 (![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) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f66,negated_conjecture,(
% 0.08/0.39 ( ~ big_p(c2)| big_r(c2,c1)| ~ big_p(c4)| big_p(c3) ) ),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f67,negated_conjecture,(
% 0.08/0.39 ( ~ big_p(c2)| big_r(c2,c1)| ~ big_p(c4)| big_r(c4,c3) ) ),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f72,negated_conjecture,(
% 0.08/0.39 (![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) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f78,negated_conjecture,(
% 0.08/0.39 (![X9,X10]: (( ~ big_p(X9)| ~ big_r(c2,X10)| ~ big_r(X10,X9)| ~ big_p(c4)| big_p(c3) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f79,negated_conjecture,(
% 0.08/0.39 (![X9,X10]: (( ~ big_p(X9)| ~ big_r(c2,X10)| ~ big_r(X10,X9)| ~ big_p(c4)| big_r(c4,c3) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f84,negated_conjecture,(
% 0.08/0.39 (![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) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f85,plain,(
% 0.08/0.39 ![X1]: ((((![X7]: ((~big_p(a)|big_p(X7))|big_p(f2(X7))))|~big_p(a))|big_p(X1))|big_p(f4(X1)))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f1])).
% 0.08/0.39 fof(f86,plain,(
% 0.08/0.39 ![X0,X1]: (~big_p(a)|big_p(X0)|big_p(f2(X0))|~big_p(a)|big_p(X1)|big_p(f4(X1)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f85])).
% 0.08/0.39 fof(f87,plain,(
% 0.08/0.39 ![X1]: ((((![X7]: ((~big_p(a)|big_p(X7))|big_p(f2(X7))))|~big_p(a))|big_p(X1))|big_r(X1,f3(X1)))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f2])).
% 0.08/0.39 fof(f88,plain,(
% 0.08/0.39 ![X0,X1]: (~big_p(a)|big_p(X0)|big_p(f2(X0))|~big_p(a)|big_p(X1)|big_r(X1,f3(X1)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f87])).
% 0.08/0.39 fof(f89,plain,(
% 0.08/0.39 ![X1]: ((((![X7]: ((~big_p(a)|big_p(X7))|big_p(f2(X7))))|~big_p(a))|big_p(X1))|big_r(f3(X1),f4(X1)))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f3])).
% 0.08/0.39 fof(f90,plain,(
% 0.08/0.39 ![X0,X1]: (~big_p(a)|big_p(X0)|big_p(f2(X0))|~big_p(a)|big_p(X1)|big_r(f3(X1),f4(X1)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f89])).
% 0.08/0.39 fof(f91,plain,(
% 0.08/0.39 ![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)))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f4])).
% 0.08/0.39 fof(f92,plain,(
% 0.08/0.39 ![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)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f91])).
% 0.08/0.39 fof(f93,plain,(
% 0.08/0.39 ![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)))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f5])).
% 0.08/0.39 fof(f94,plain,(
% 0.08/0.39 ![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)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f93])).
% 0.08/0.39 fof(f95,plain,(
% 0.08/0.39 ![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)))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f6])).
% 0.08/0.39 fof(f96,plain,(
% 0.08/0.39 ![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)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f95])).
% 0.08/0.39 fof(f97,plain,(
% 0.08/0.39 ![X1]: ((((![X7]: ((~big_p(a)|big_p(X7))|big_r(X7,f1(X7))))|~big_p(a))|big_p(X1))|big_p(f4(X1)))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f7])).
% 0.08/0.39 fof(f98,plain,(
% 0.08/0.39 ![X0,X1]: (~big_p(a)|big_p(X0)|big_r(X0,f1(X0))|~big_p(a)|big_p(X1)|big_p(f4(X1)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f97])).
% 0.08/0.39 fof(f99,plain,(
% 0.08/0.39 ![X1]: ((((![X7]: ((~big_p(a)|big_p(X7))|big_r(X7,f1(X7))))|~big_p(a))|big_p(X1))|big_r(X1,f3(X1)))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f8])).
% 0.08/0.39 fof(f100,plain,(
% 0.08/0.39 ![X0,X1]: (~big_p(a)|big_p(X0)|big_r(X0,f1(X0))|~big_p(a)|big_p(X1)|big_r(X1,f3(X1)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f99])).
% 0.08/0.39 fof(f101,plain,(
% 0.08/0.39 ![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)))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f9])).
% 0.08/0.39 fof(f102,plain,(
% 0.08/0.39 ![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)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f101])).
% 0.08/0.39 fof(f103,plain,(
% 0.08/0.39 ![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)))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f10])).
% 0.08/0.39 fof(f104,plain,(
% 0.08/0.39 ![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)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f103])).
% 0.08/0.39 fof(f105,plain,(
% 0.08/0.39 ![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)))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f11])).
% 0.08/0.39 fof(f106,plain,(
% 0.08/0.39 ![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)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f105])).
% 0.08/0.39 fof(f107,plain,(
% 0.08/0.39 ![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)))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f12])).
% 0.08/0.39 fof(f108,plain,(
% 0.08/0.39 ![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)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f107])).
% 0.08/0.39 fof(f109,plain,(
% 0.08/0.39 ![X1]: ((((![X7]: ((~big_p(a)|big_p(X7))|big_r(f1(X7),f2(X7))))|~big_p(a))|big_p(X1))|big_p(f4(X1)))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f13])).
% 0.08/0.39 fof(f110,plain,(
% 0.08/0.39 ![X0,X1]: (~big_p(a)|big_p(X0)|big_r(f1(X0),f2(X0))|~big_p(a)|big_p(X1)|big_p(f4(X1)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f109])).
% 0.08/0.39 fof(f111,plain,(
% 0.08/0.39 ![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)))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f14])).
% 0.08/0.39 fof(f112,plain,(
% 0.08/0.39 ![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)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f111])).
% 0.08/0.39 fof(f113,plain,(
% 0.08/0.39 ![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)))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f15])).
% 0.08/0.39 fof(f114,plain,(
% 0.08/0.39 ![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)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f113])).
% 0.08/0.39 fof(f115,plain,(
% 0.08/0.39 ![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)))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f16])).
% 0.08/0.39 fof(f116,plain,(
% 0.08/0.39 ![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)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f115])).
% 0.08/0.39 fof(f117,plain,(
% 0.08/0.39 ![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)))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f17])).
% 0.08/0.39 fof(f118,plain,(
% 0.08/0.39 ![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)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f117])).
% 0.08/0.39 fof(f119,plain,(
% 0.08/0.39 ![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)))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f18])).
% 0.08/0.39 fof(f120,plain,(
% 0.08/0.39 ![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)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f119])).
% 0.08/0.39 fof(f121,plain,(
% 0.08/0.39 ![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)))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f19])).
% 0.08/0.39 fof(f122,plain,(
% 0.08/0.39 ![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)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f121])).
% 0.13/0.39 fof(f123,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f20])).
% 0.13/0.39 fof(f124,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f123])).
% 0.13/0.39 fof(f125,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f21])).
% 0.13/0.39 fof(f126,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f125])).
% 0.13/0.39 fof(f127,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f22])).
% 0.13/0.39 fof(f128,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f127])).
% 0.13/0.39 fof(f129,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f23])).
% 0.13/0.39 fof(f130,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f129])).
% 0.13/0.39 fof(f131,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f24])).
% 0.13/0.39 fof(f132,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f131])).
% 0.13/0.39 fof(f133,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f25])).
% 0.13/0.39 fof(f134,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f133])).
% 0.13/0.39 fof(f135,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f26])).
% 0.13/0.39 fof(f136,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f135])).
% 0.13/0.39 fof(f137,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f27])).
% 0.13/0.39 fof(f138,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f137])).
% 0.13/0.39 fof(f139,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f28])).
% 0.13/0.39 fof(f140,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f139])).
% 0.13/0.39 fof(f141,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f29])).
% 0.13/0.39 fof(f142,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f141])).
% 0.13/0.39 fof(f143,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f30])).
% 0.13/0.39 fof(f144,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f143])).
% 0.13/0.39 fof(f145,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f31])).
% 0.13/0.39 fof(f146,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f145])).
% 0.13/0.39 fof(f147,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f32])).
% 0.13/0.39 fof(f148,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f147])).
% 0.13/0.39 fof(f149,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f33])).
% 0.13/0.39 fof(f150,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f149])).
% 0.13/0.39 fof(f151,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f34])).
% 0.13/0.39 fof(f152,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f151])).
% 0.13/0.39 fof(f153,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f35])).
% 0.13/0.39 fof(f154,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f153])).
% 0.13/0.39 fof(f155,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f36])).
% 0.13/0.39 fof(f156,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f155])).
% 0.13/0.39 fof(f157,plain,(
% 0.13/0.39 big_p(a)|big_p(a)|big_p(a)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f37])).
% 0.13/0.39 fof(f178,plain,(
% 0.13/0.39 ~big_p(c2)|big_p(c1)|~big_p(c4)|big_p(c3)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f54])).
% 0.13/0.39 fof(f179,plain,(
% 0.13/0.39 ~big_p(c2)|big_p(c1)|~big_p(c4)|big_r(c4,c3)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f55])).
% 0.13/0.39 fof(f187,plain,(
% 0.13/0.39 ![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))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f60])).
% 0.13/0.39 fof(f188,plain,(
% 0.13/0.39 ![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))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f187])).
% 0.13/0.39 fof(f194,plain,(
% 0.13/0.39 ~big_p(c2)|big_r(c2,c1)|~big_p(c4)|big_p(c3)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f66])).
% 0.13/0.39 fof(f195,plain,(
% 0.13/0.39 ~big_p(c2)|big_r(c2,c1)|~big_p(c4)|big_r(c4,c3)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f67])).
% 0.13/0.39 fof(f203,plain,(
% 0.13/0.39 ![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))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f72])).
% 0.13/0.39 fof(f204,plain,(
% 0.13/0.39 ![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))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f203])).
% 0.13/0.39 fof(f215,plain,(
% 0.13/0.39 ((![X9,X10]: ((~big_p(X9)|~big_r(c2,X10))|~big_r(X10,X9)))|~big_p(c4))|big_p(c3)),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f78])).
% 0.13/0.39 fof(f216,plain,(
% 0.13/0.39 ![X0,X1]: (~big_p(X0)|~big_r(c2,X1)|~big_r(X1,X0)|~big_p(c4)|big_p(c3))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f215])).
% 0.13/0.39 fof(f217,plain,(
% 0.13/0.39 ((![X9,X10]: ((~big_p(X9)|~big_r(c2,X10))|~big_r(X10,X9)))|~big_p(c4))|big_r(c4,c3)),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f79])).
% 0.13/0.39 fof(f218,plain,(
% 0.13/0.39 ![X0,X1]: (~big_p(X0)|~big_r(c2,X1)|~big_r(X1,X0)|~big_p(c4)|big_r(c4,c3))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f217])).
% 0.13/0.39 fof(f227,plain,(
% 0.13/0.39 ![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))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f84])).
% 0.13/0.39 fof(f228,plain,(
% 0.13/0.39 ![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))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f227])).
% 0.13/0.39 fof(f229,definition,(
% 0.13/0.39 sQ0_spl <=> (big_p(a))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f232,definition,(
% 0.13/0.39 ![X0]: (sQ1_spl <=> (big_p(X0)|big_p(f2(X0))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f233,plain,(
% 0.13/0.39 ![X0]: (big_p(X0)|big_p(f2(X0))|~sQ1_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f232])).
% 0.13/0.39 fof(f235,definition,(
% 0.13/0.39 ![X1]: (sQ2_spl <=> (big_p(X1)|big_p(f4(X1))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f236,plain,(
% 0.13/0.39 ![X0]: (big_p(X0)|big_p(f4(X0))|~sQ2_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f235])).
% 0.13/0.39 fof(f238,plain,(
% 0.13/0.39 ~sQ0_spl|sQ1_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f86,f229,f232,f235])).
% 0.13/0.39 fof(f239,definition,(
% 0.13/0.39 ![X1]: (sQ3_spl <=> (big_p(X1)|big_r(X1,f3(X1))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f240,plain,(
% 0.13/0.39 ![X0]: (big_p(X0)|big_r(X0,f3(X0))|~sQ3_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f239])).
% 0.13/0.39 fof(f242,plain,(
% 0.13/0.39 ~sQ0_spl|sQ1_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f88,f229,f232,f239])).
% 0.13/0.39 fof(f243,definition,(
% 0.13/0.39 ![X1]: (sQ4_spl <=> (big_p(X1)|big_r(f3(X1),f4(X1))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f244,plain,(
% 0.13/0.39 ![X0]: (big_p(X0)|big_r(f3(X0),f4(X0))|~sQ4_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f243])).
% 0.13/0.39 fof(f246,plain,(
% 0.13/0.39 ~sQ0_spl|sQ1_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f90,f229,f232,f243])).
% 0.13/0.39 fof(f247,definition,(
% 0.13/0.39 ![X1,X2]: (sQ5_spl <=> (~big_p(X1)|~big_r(X2,X1)|big_p(f6(X2))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f248,plain,(
% 0.13/0.39 ![X0,X1]: (~big_p(X0)|~big_r(X1,X0)|big_p(f6(X1))|~sQ5_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f247])).
% 0.13/0.39 fof(f250,plain,(
% 0.13/0.39 ~sQ0_spl|sQ1_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f92,f229,f232,f247])).
% 0.13/0.39 fof(f251,definition,(
% 0.13/0.39 ![X1,X2]: (sQ6_spl <=> (~big_p(X1)|~big_r(X2,X1)|big_r(X2,f5(X2))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f252,plain,(
% 0.13/0.39 ![X0,X1]: (~big_p(X0)|~big_r(X1,X0)|big_r(X1,f5(X1))|~sQ6_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f251])).
% 0.13/0.39 fof(f254,plain,(
% 0.13/0.39 ~sQ0_spl|sQ1_spl|sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f94,f229,f232,f251])).
% 0.13/0.39 fof(f255,definition,(
% 0.13/0.39 ![X1,X2]: (sQ7_spl <=> (~big_p(X1)|~big_r(X2,X1)|big_r(f5(X2),f6(X2))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f256,plain,(
% 0.13/0.39 ![X0,X1]: (~big_p(X0)|~big_r(X1,X0)|big_r(f5(X1),f6(X1))|~sQ7_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f255])).
% 0.13/0.39 fof(f258,plain,(
% 0.13/0.39 ~sQ0_spl|sQ1_spl|sQ7_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f96,f229,f232,f255])).
% 0.13/0.39 fof(f259,definition,(
% 0.13/0.39 ![X0]: (sQ8_spl <=> (big_p(X0)|big_r(X0,f1(X0))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f260,plain,(
% 0.13/0.39 ![X0]: (big_p(X0)|big_r(X0,f1(X0))|~sQ8_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f259])).
% 0.13/0.39 fof(f262,plain,(
% 0.13/0.39 ~sQ0_spl|sQ8_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f98,f229,f259,f235])).
% 0.13/0.39 fof(f263,plain,(
% 0.13/0.39 ~sQ0_spl|sQ8_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f100,f229,f259,f239])).
% 0.13/0.39 fof(f264,plain,(
% 0.13/0.39 ~sQ0_spl|sQ8_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f102,f229,f259,f243])).
% 0.13/0.39 fof(f265,plain,(
% 0.13/0.39 ~sQ0_spl|sQ8_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f104,f229,f259,f247])).
% 0.13/0.39 fof(f266,plain,(
% 0.13/0.39 ~sQ0_spl|sQ8_spl|sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f106,f229,f259,f251])).
% 0.13/0.39 fof(f267,plain,(
% 0.13/0.39 ~sQ0_spl|sQ8_spl|sQ7_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f108,f229,f259,f255])).
% 0.13/0.39 fof(f268,definition,(
% 0.13/0.39 ![X0]: (sQ9_spl <=> (big_p(X0)|big_r(f1(X0),f2(X0))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f269,plain,(
% 0.13/0.39 ![X0]: (big_p(X0)|big_r(f1(X0),f2(X0))|~sQ9_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f268])).
% 0.13/0.39 fof(f271,plain,(
% 0.13/0.39 ~sQ0_spl|sQ9_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f110,f229,f268,f235])).
% 0.13/0.39 fof(f272,plain,(
% 0.13/0.39 ~sQ0_spl|sQ9_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f112,f229,f268,f239])).
% 0.13/0.39 fof(f273,plain,(
% 0.13/0.39 ~sQ0_spl|sQ9_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f114,f229,f268,f243])).
% 0.13/0.39 fof(f274,plain,(
% 0.13/0.39 ~sQ0_spl|sQ9_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f116,f229,f268,f247])).
% 0.13/0.39 fof(f275,plain,(
% 0.13/0.39 ~sQ0_spl|sQ9_spl|sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f118,f229,f268,f251])).
% 0.13/0.39 fof(f276,plain,(
% 0.13/0.39 ~sQ0_spl|sQ9_spl|sQ7_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f120,f229,f268,f255])).
% 0.13/0.39 fof(f277,definition,(
% 0.13/0.39 ![X0,X1]: (sQ10_spl <=> (~big_p(X0)|~big_r(X1,X0)|big_p(f2(X1))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f278,plain,(
% 0.13/0.39 ![X0,X1]: (~big_p(X0)|~big_r(X1,X0)|big_p(f2(X1))|~sQ10_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f277])).
% 0.13/0.39 fof(f280,plain,(
% 0.13/0.39 ~sQ0_spl|sQ10_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f122,f229,f277,f235])).
% 0.13/0.39 fof(f281,plain,(
% 0.13/0.39 ~sQ0_spl|sQ10_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f124,f229,f277,f239])).
% 0.13/0.39 fof(f282,plain,(
% 0.13/0.39 ~sQ0_spl|sQ10_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f126,f229,f277,f243])).
% 0.13/0.39 fof(f283,plain,(
% 0.13/0.39 ~sQ0_spl|sQ10_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f128,f229,f277,f247])).
% 0.13/0.39 fof(f284,plain,(
% 0.13/0.39 ~sQ0_spl|sQ10_spl|sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f130,f229,f277,f251])).
% 0.13/0.39 fof(f285,plain,(
% 0.13/0.39 ~sQ0_spl|sQ10_spl|sQ7_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f132,f229,f277,f255])).
% 0.13/0.39 fof(f286,definition,(
% 0.13/0.39 ![X0,X1]: (sQ11_spl <=> (~big_p(X0)|~big_r(X1,X0)|big_r(X1,f1(X1))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f287,plain,(
% 0.13/0.39 ![X0,X1]: (~big_p(X0)|~big_r(X1,X0)|big_r(X1,f1(X1))|~sQ11_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f286])).
% 0.13/0.39 fof(f289,plain,(
% 0.13/0.39 ~sQ0_spl|sQ11_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f134,f229,f286,f235])).
% 0.13/0.39 fof(f290,plain,(
% 0.13/0.39 ~sQ0_spl|sQ11_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f136,f229,f286,f239])).
% 0.13/0.39 fof(f291,plain,(
% 0.13/0.39 ~sQ0_spl|sQ11_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f138,f229,f286,f243])).
% 0.13/0.39 fof(f292,plain,(
% 0.13/0.39 ~sQ0_spl|sQ11_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f140,f229,f286,f247])).
% 0.13/0.39 fof(f293,plain,(
% 0.13/0.39 ~sQ0_spl|sQ11_spl|sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f142,f229,f286,f251])).
% 0.13/0.39 fof(f294,plain,(
% 0.13/0.39 ~sQ0_spl|sQ11_spl|sQ7_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f144,f229,f286,f255])).
% 0.13/0.39 fof(f295,definition,(
% 0.13/0.39 ![X0,X1]: (sQ12_spl <=> (~big_p(X0)|~big_r(X1,X0)|big_r(f1(X1),f2(X1))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f296,plain,(
% 0.13/0.39 ![X0,X1]: (~big_p(X0)|~big_r(X1,X0)|big_r(f1(X1),f2(X1))|~sQ12_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f295])).
% 0.13/0.39 fof(f298,plain,(
% 0.13/0.39 ~sQ0_spl|sQ12_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f146,f229,f295,f235])).
% 0.13/0.39 fof(f299,plain,(
% 0.13/0.39 ~sQ0_spl|sQ12_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f148,f229,f295,f239])).
% 0.13/0.39 fof(f300,plain,(
% 0.13/0.39 ~sQ0_spl|sQ12_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f150,f229,f295,f243])).
% 0.13/0.39 fof(f301,plain,(
% 0.13/0.39 ~sQ0_spl|sQ12_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f152,f229,f295,f247])).
% 0.13/0.39 fof(f302,plain,(
% 0.13/0.39 ~sQ0_spl|sQ12_spl|sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f154,f229,f295,f251])).
% 0.13/0.39 fof(f303,plain,(
% 0.13/0.39 ~sQ0_spl|sQ12_spl|sQ7_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f156,f229,f295,f255])).
% 0.13/0.39 fof(f304,plain,(
% 0.13/0.39 sQ0_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f157,f229])).
% 0.13/0.39 fof(f305,definition,(
% 0.13/0.39 sQ13_spl <=> (big_p(c3))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f306,plain,(
% 0.13/0.39 big_p(c3)|~sQ13_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f305])).
% 0.13/0.39 fof(f309,definition,(
% 0.13/0.39 sQ14_spl <=> (big_r(c4,c3))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f310,plain,(
% 0.13/0.39 big_r(c4,c3)|~sQ14_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f309])).
% 0.13/0.39 fof(f313,definition,(
% 0.13/0.39 ![X0,X1]: (sQ15_spl <=> (~big_p(X0)|~big_r(c4,X1)|~big_r(X1,X0)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f314,plain,(
% 0.13/0.39 ![X0,X1]: (~big_p(X0)|~big_r(c4,X1)|~big_r(X1,X0)|~sQ15_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f313])).
% 0.13/0.39 fof(f317,definition,(
% 0.13/0.39 sQ16_spl <=> (big_p(c4))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f328,definition,(
% 0.13/0.39 sQ17_spl <=> (big_p(c2))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f331,definition,(
% 0.13/0.39 sQ18_spl <=> (big_p(c1))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f332,plain,(
% 0.13/0.39 big_p(c1)|~sQ18_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f331])).
% 0.13/0.39 fof(f339,plain,(
% 0.13/0.39 ~sQ17_spl|sQ18_spl|~sQ16_spl|sQ13_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f178,f328,f331,f317,f305])).
% 0.13/0.39 fof(f340,plain,(
% 0.13/0.39 ~sQ17_spl|sQ18_spl|~sQ16_spl|sQ14_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f179,f328,f331,f317,f309])).
% 0.13/0.39 fof(f345,plain,(
% 0.13/0.39 ~sQ17_spl|sQ18_spl|sQ15_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f188,f328,f331,f313])).
% 0.13/0.39 fof(f346,definition,(
% 0.13/0.39 sQ19_spl <=> (big_r(c2,c1))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f347,plain,(
% 0.13/0.39 big_r(c2,c1)|~sQ19_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f346])).
% 0.13/0.39 fof(f354,plain,(
% 0.13/0.39 ~sQ17_spl|sQ19_spl|~sQ16_spl|sQ13_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f194,f328,f346,f317,f305])).
% 0.13/0.39 fof(f355,plain,(
% 0.13/0.39 ~sQ17_spl|sQ19_spl|~sQ16_spl|sQ14_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f195,f328,f346,f317,f309])).
% 0.13/0.39 fof(f360,plain,(
% 0.13/0.39 ~sQ17_spl|sQ19_spl|sQ15_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f204,f328,f346,f313])).
% 0.13/0.39 fof(f361,definition,(
% 0.13/0.39 ![X0,X1]: (sQ20_spl <=> (~big_p(X0)|~big_r(c2,X1)|~big_r(X1,X0)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f362,plain,(
% 0.13/0.39 ![X0,X1]: (~big_p(X0)|~big_r(c2,X1)|~big_r(X1,X0)|~sQ20_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f361])).
% 0.13/0.39 fof(f369,plain,(
% 0.13/0.39 sQ20_spl|~sQ16_spl|sQ13_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f216,f361,f317,f305])).
% 0.13/0.39 fof(f370,plain,(
% 0.13/0.39 sQ20_spl|~sQ16_spl|sQ14_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f218,f361,f317,f309])).
% 0.13/0.39 fof(f375,plain,(
% 0.13/0.39 sQ20_spl|sQ15_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f228,f361,f313])).
% 0.13/0.39 fof(f376,plain,(
% 0.13/0.39 ![X0]: (big_p(c4)|~big_p(X0)|~big_r(f1(c4),X0)|~sQ8_spl|~sQ15_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f260,f314])).
% 0.13/0.39 fof(f377,definition,(
% 0.13/0.39 ![X0]: (sQ21_spl <=> (~big_p(X0)|~big_r(f1(c4),X0)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f378,plain,(
% 0.13/0.39 ![X0]: (~big_p(X0)|~big_r(f1(c4),X0)|~sQ21_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f377])).
% 0.13/0.39 fof(f380,plain,(
% 0.13/0.39 sQ16_spl|sQ21_spl|~sQ8_spl|~sQ15_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f376,f317,f377,f259,f313])).
% 0.13/0.39 fof(f383,plain,(
% 0.13/0.39 ![X0]: (big_p(c4)|~big_p(X0)|~big_r(f3(c4),X0)|~sQ3_spl|~sQ15_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f240,f314])).
% 0.13/0.39 fof(f388,definition,(
% 0.13/0.39 ![X0]: (sQ23_spl <=> (~big_p(X0)|~big_r(f3(c4),X0)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f389,plain,(
% 0.13/0.39 ![X0]: (~big_p(X0)|~big_r(f3(c4),X0)|~sQ23_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f388])).
% 0.13/0.39 fof(f391,plain,(
% 0.13/0.39 sQ16_spl|sQ23_spl|~sQ3_spl|~sQ15_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f383,f317,f388,f239,f313])).
% 0.13/0.39 fof(f394,plain,(
% 0.13/0.39 ![X0]: (~big_p(X0)|~big_r(f1(c2),X0)|big_p(c2)|~sQ20_spl|~sQ8_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f362,f260])).
% 0.13/0.39 fof(f395,definition,(
% 0.13/0.39 ![X0]: (sQ24_spl <=> (~big_p(X0)|~big_r(f1(c2),X0)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f396,plain,(
% 0.13/0.39 ![X0]: (~big_p(X0)|~big_r(f1(c2),X0)|~sQ24_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f395])).
% 0.13/0.39 fof(f398,plain,(
% 0.13/0.39 sQ24_spl|sQ17_spl|~sQ20_spl|~sQ8_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f394,f395,f328,f361,f259])).
% 0.13/0.39 fof(f400,plain,(
% 0.13/0.39 ![X0,X1]: (~big_p(X0)|~big_r(c2,X0)|~big_p(X1)|~big_r(f1(c2),X1)|~sQ11_spl|~sQ20_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f287,f362])).
% 0.13/0.39 fof(f401,plain,(
% 0.13/0.39 ![X0,X1]: (~big_p(X0)|~big_r(c4,X0)|~big_p(X1)|~big_r(f1(c4),X1)|~sQ11_spl|~sQ15_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f287,f314])).
% 0.13/0.39 fof(f402,definition,(
% 0.13/0.39 ![X0]: (sQ25_spl <=> (~big_p(X0)|~big_r(c2,X0)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f403,plain,(
% 0.13/0.39 ![X0]: (~big_p(X0)|~big_r(c2,X0)|~sQ25_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f402])).
% 0.13/0.39 fof(f405,plain,(
% 0.13/0.39 sQ25_spl|sQ24_spl|~sQ11_spl|~sQ20_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f400,f402,f395,f286,f361])).
% 0.13/0.39 fof(f406,definition,(
% 0.13/0.39 ![X0]: (sQ26_spl <=> (~big_p(X0)|~big_r(c4,X0)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f407,plain,(
% 0.13/0.39 ![X0]: (~big_p(X0)|~big_r(c4,X0)|~sQ26_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f406])).
% 0.13/0.39 fof(f409,plain,(
% 0.13/0.39 sQ26_spl|sQ21_spl|~sQ11_spl|~sQ15_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f401,f406,f377,f286,f313])).
% 0.13/0.39 fof(f425,plain,(
% 0.13/0.39 ![X0]: (~big_p(f2(c2))|~big_p(X0)|~big_r(c2,X0)|~sQ24_spl|~sQ12_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f396,f296])).
% 0.13/0.39 fof(f426,plain,(
% 0.13/0.39 ~big_p(f2(c2))|big_p(c2)|~sQ24_spl|~sQ9_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f396,f269])).
% 0.13/0.39 fof(f428,definition,(
% 0.13/0.39 sQ29_spl <=> (big_p(f2(c2)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f430,plain,(
% 0.13/0.39 ~big_p(f2(c2))|sQ29_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f428])).
% 0.13/0.39 fof(f431,plain,(
% 0.13/0.39 ~sQ29_spl|sQ25_spl|~sQ24_spl|~sQ12_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f425,f428,f402,f395,f295])).
% 0.13/0.39 fof(f432,plain,(
% 0.13/0.39 ~sQ29_spl|sQ17_spl|~sQ24_spl|~sQ9_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f426,f428,f328,f395,f268])).
% 0.13/0.39 fof(f440,plain,(
% 0.13/0.39 ![X0]: (~big_p(X0)|~big_r(c2,X0)|sQ29_spl|~sQ10_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f430,f278])).
% 0.13/0.39 fof(f441,plain,(
% 0.13/0.39 big_p(c2)|sQ29_spl|~sQ1_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f430,f233])).
% 0.13/0.39 fof(f442,plain,(
% 0.13/0.39 sQ17_spl|sQ29_spl|~sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f441,f328,f428,f232])).
% 0.13/0.39 fof(f444,plain,(
% 0.13/0.39 ![X0,X1]: (~big_p(X0)|~big_r(c4,X0)|~big_p(X1)|~big_r(f5(c4),X1)|~sQ6_spl|~sQ15_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f252,f314])).
% 0.13/0.39 fof(f452,definition,(
% 0.13/0.39 ![X1]: (sQ34_spl <=> (~big_p(X1)|~big_r(f5(c4),X1)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f453,plain,(
% 0.13/0.39 ![X0]: (~big_p(X0)|~big_r(f5(c4),X0)|~sQ34_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f452])).
% 0.13/0.39 fof(f455,plain,(
% 0.13/0.39 sQ26_spl|sQ34_spl|~sQ6_spl|~sQ15_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f444,f406,f452,f251,f313])).
% 0.13/0.39 fof(f456,plain,(
% 0.13/0.39 ~big_p(c1)|~sQ25_spl|~sQ19_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f403,f347])).
% 0.13/0.39 fof(f457,plain,(
% 0.13/0.39 $false|~sQ18_spl|~sQ25_spl|~sQ19_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f456,f332])).
% 0.13/0.39 fof(f458,plain,(
% 0.13/0.39 ~sQ18_spl|~sQ25_spl|~sQ19_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f457])).
% 0.13/0.39 fof(f459,plain,(
% 0.13/0.39 ~big_p(c3)|~sQ26_spl|~sQ14_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f407,f310])).
% 0.13/0.39 fof(f460,plain,(
% 0.13/0.39 $false|~sQ13_spl|~sQ26_spl|~sQ14_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f459,f306])).
% 0.13/0.39 fof(f461,plain,(
% 0.13/0.39 ~sQ13_spl|~sQ26_spl|~sQ14_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f460])).
% 0.13/0.39 fof(f492,plain,(
% 0.13/0.39 big_p(c4)|~big_p(f3(c4))|~sQ3_spl|~sQ26_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f240,f407])).
% 0.13/0.39 fof(f502,definition,(
% 0.13/0.39 sQ41_spl <=> (big_p(f3(c4)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f505,plain,(
% 0.13/0.39 sQ16_spl|~sQ41_spl|~sQ3_spl|~sQ26_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f492,f317,f502,f239,f406])).
% 0.13/0.39 fof(f518,plain,(
% 0.13/0.39 ![X0]: (~big_p(X0)|~big_r(f3(c2),X0)|big_p(c2)|~sQ20_spl|~sQ3_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f362,f240])).
% 0.13/0.39 fof(f519,plain,(
% 0.13/0.39 ![X0,X1]: (~big_p(X0)|~big_r(f5(c2),X0)|~big_p(X1)|~big_r(c2,X1)|~sQ20_spl|~sQ6_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f362,f252])).
% 0.13/0.39 fof(f521,definition,(
% 0.13/0.39 ![X0]: (sQ43_spl <=> (~big_p(X0)|~big_r(f3(c2),X0)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f522,plain,(
% 0.13/0.39 ![X0]: (~big_p(X0)|~big_r(f3(c2),X0)|~sQ43_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f521])).
% 0.13/0.39 fof(f524,plain,(
% 0.13/0.39 sQ43_spl|sQ17_spl|~sQ20_spl|~sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f518,f521,f328,f361,f239])).
% 0.13/0.39 fof(f525,definition,(
% 0.13/0.39 ![X0]: (sQ44_spl <=> (~big_p(X0)|~big_r(f5(c2),X0)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f526,plain,(
% 0.13/0.39 ![X0]: (~big_p(X0)|~big_r(f5(c2),X0)|~sQ44_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f525])).
% 0.13/0.39 fof(f528,plain,(
% 0.13/0.39 sQ44_spl|sQ25_spl|~sQ20_spl|~sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f519,f525,f402,f361,f251])).
% 0.13/0.39 fof(f530,plain,(
% 0.13/0.39 ![X0]: (~big_p(f2(c4))|~big_p(X0)|~big_r(c4,X0)|~sQ21_spl|~sQ12_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f378,f296])).
% 0.13/0.39 fof(f531,plain,(
% 0.13/0.39 ~big_p(f2(c4))|big_p(c4)|~sQ21_spl|~sQ9_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f378,f269])).
% 0.13/0.39 fof(f535,definition,(
% 0.13/0.39 sQ45_spl <=> (big_p(f2(c4)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f537,plain,(
% 0.13/0.39 ~big_p(f2(c4))|sQ45_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f535])).
% 0.13/0.39 fof(f538,plain,(
% 0.13/0.39 ~sQ45_spl|sQ26_spl|~sQ21_spl|~sQ12_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f530,f535,f406,f377,f295])).
% 0.13/0.39 fof(f539,plain,(
% 0.13/0.39 ~sQ45_spl|sQ16_spl|~sQ21_spl|~sQ9_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f531,f535,f317,f377,f268])).
% 0.13/0.39 fof(f552,plain,(
% 0.13/0.39 ![X0]: (~big_p(X0)|~big_r(c4,X0)|sQ45_spl|~sQ10_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f537,f278])).
% 0.13/0.39 fof(f553,plain,(
% 0.13/0.39 big_p(c4)|sQ45_spl|~sQ1_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f537,f233])).
% 0.13/0.39 fof(f554,plain,(
% 0.13/0.39 sQ16_spl|sQ45_spl|~sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f553,f317,f535,f232])).
% 0.13/0.39 fof(f567,plain,(
% 0.13/0.39 ![X0]: (~big_p(f6(c4))|~big_p(X0)|~big_r(c4,X0)|~sQ34_spl|~sQ7_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f453,f256])).
% 0.13/0.39 fof(f571,definition,(
% 0.13/0.39 sQ49_spl <=> (big_p(f6(c4)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f573,plain,(
% 0.13/0.39 ~big_p(f6(c4))|sQ49_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f571])).
% 0.13/0.39 fof(f574,plain,(
% 0.13/0.39 ~sQ49_spl|sQ26_spl|~sQ34_spl|~sQ7_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f567,f571,f406,f452,f255])).
% 0.13/0.39 fof(f587,plain,(
% 0.13/0.39 ![X0]: (~big_p(X0)|~big_r(c4,X0)|sQ49_spl|~sQ5_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f573,f248])).
% 0.13/0.39 fof(f588,plain,(
% 0.13/0.39 ~big_p(f4(c4))|big_p(c4)|~sQ23_spl|~sQ4_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f389,f244])).
% 0.13/0.39 fof(f592,definition,(
% 0.13/0.39 sQ53_spl <=> (big_p(f4(c4)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f594,plain,(
% 0.13/0.39 ~big_p(f4(c4))|sQ53_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f592])).
% 0.13/0.39 fof(f595,plain,(
% 0.13/0.39 ~sQ53_spl|sQ16_spl|~sQ23_spl|~sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f588,f592,f317,f388,f243])).
% 0.13/0.39 fof(f608,plain,(
% 0.13/0.39 sQ26_spl|sQ49_spl|~sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f587,f406,f571,f247])).
% 0.13/0.39 fof(f609,plain,(
% 0.13/0.39 sQ26_spl|sQ45_spl|~sQ10_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f552,f406,f535,f277])).
% 0.13/0.39 fof(f610,plain,(
% 0.13/0.39 sQ25_spl|sQ29_spl|~sQ10_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f440,f402,f428,f277])).
% 0.13/0.39 fof(f612,plain,(
% 0.13/0.39 big_p(c4)|sQ53_spl|~sQ2_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f594,f236])).
% 0.13/0.39 fof(f613,plain,(
% 0.13/0.39 sQ16_spl|sQ53_spl|~sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f612,f317,f592,f235])).
% 0.13/0.39 fof(f618,plain,(
% 0.13/0.39 ![X0]: (~big_p(f6(c2))|~big_p(X0)|~big_r(c2,X0)|~sQ44_spl|~sQ7_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f526,f256])).
% 0.13/0.39 fof(f621,definition,(
% 0.13/0.39 sQ57_spl <=> (big_p(f6(c2)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f623,plain,(
% 0.13/0.39 ~big_p(f6(c2))|sQ57_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f621])).
% 0.13/0.39 fof(f624,plain,(
% 0.13/0.39 ~sQ57_spl|sQ25_spl|~sQ44_spl|~sQ7_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f618,f621,f402,f525,f255])).
% 0.13/0.39 fof(f633,plain,(
% 0.13/0.39 ~big_p(f4(c2))|big_p(c2)|~sQ43_spl|~sQ4_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f522,f244])).
% 0.13/0.39 fof(f636,definition,(
% 0.13/0.39 sQ60_spl <=> (big_p(f4(c2)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f638,plain,(
% 0.13/0.39 ~big_p(f4(c2))|sQ60_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f636])).
% 0.13/0.39 fof(f639,plain,(
% 0.13/0.39 ~sQ60_spl|sQ17_spl|~sQ43_spl|~sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f633,f636,f328,f521,f243])).
% 0.13/0.39 fof(f648,plain,(
% 0.13/0.39 ![X0]: (~big_p(X0)|~big_r(c2,X0)|sQ57_spl|~sQ5_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f623,f248])).
% 0.13/0.39 fof(f649,plain,(
% 0.13/0.39 big_p(c2)|sQ60_spl|~sQ2_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f638,f236])).
% 0.13/0.40 fof(f650,plain,(
% 0.13/0.40 sQ17_spl|sQ60_spl|~sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f649,f328,f636,f235])).
% 0.13/0.40 fof(f651,plain,(
% 0.13/0.40 sQ25_spl|sQ57_spl|~sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f648,f402,f621,f247])).
% 0.13/0.40 fof(f652,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 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,f391,f398,f405,f409,f431,f432,f442,f455,f458,f461,f505,f524,f528,f538,f539,f554,f574,f595,f608,f609,f610,f613,f624,f639,f650,f651])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.050222 seconds
% 0.13/0.41 % CPU time: 0.133212 seconds
% 0.13/0.41 % Total memory used: 15.440 MB
% 0.13/0.41 % Net memory used: 15.281 MB
%------------------------------------------------------------------------------