%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN102-1.007.007 : TPTP v9.3.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 03:18:57 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN102-1.007.007 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n013.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 10:42:50 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.47 % Refutation found
% 0.12/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.47 fof(f1,negated_conjecture,(
% 0.12/0.47 ( ~ p_0(a,a,a,a,a,a,a)| ~ q_0(a,a,a,a,a,a,a) ) ),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f2,axiom,(
% 0.12/0.47 (![X_1,X_2,X_3,X_4,X_5,X_6,X_7]: (( p_0(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_1(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f4,axiom,(
% 0.12/0.47 (![X_1,X_2,X_3,X_4,X_5,X_6,X_7]: (( p_1(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f6,axiom,(
% 0.12/0.47 (![X_1,X_2,X_3,X_4,X_5,X_6,X_7]: (( p_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f8,axiom,(
% 0.12/0.47 (![X_1,X_2,X_3,X_4,X_5,X_6,X_7]: (( p_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f10,axiom,(
% 0.12/0.47 (![X_1,X_2,X_3,X_4,X_5,X_6,X_7]: (( p_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f12,axiom,(
% 0.12/0.47 (![X_1,X_2,X_3,X_4,X_5,X_6,X_7]: (( p_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f14,axiom,(
% 0.12/0.47 (![X_1,X_2,X_3,X_4,X_5,X_6,X_7]: (( p_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f16,axiom,(
% 0.12/0.47 (![X_1,X_2,X_3,X_4,X_5,X_6,X_7]: (( p_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f18,axiom,(
% 0.12/0.47 (![X_1,X_2,X_3,X_4,X_5,X_6,X_7]: (( p_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f20,axiom,(
% 0.12/0.47 (![X_1,X_2,X_3,X_4,X_5,X_6,X_7]: (( p_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f22,axiom,(
% 0.12/0.47 (![X_1,X_2,X_3,X_4,X_5,X_6,X_7]: (( p_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f24,axiom,(
% 0.12/0.47 (![X_1,X_2,X_3,X_4,X_5,X_6,X_7]: (( p_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f27,axiom,(
% 0.12/0.47 (![X_1,X_2,X_3,X_4,X_5,X_6,X_7]: (( q_0(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ q_1(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f29,axiom,(
% 0.12/0.47 (![X_1,X_2,X_3,X_4,X_5,X_6,X_7]: (( q_1(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ q_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f30,axiom,(
% 0.12/0.47 (![X_1,X_2,X_3,X_4,X_5,X_6,X_7]: (( q_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ q_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f34,axiom,(
% 0.12/0.47 (![X_1,X_2,X_3,X_4,X_5,X_6,X_7]: (( q_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ q_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f38,axiom,(
% 0.12/0.47 (![X_1,X_2,X_3,X_4,X_5,X_6,X_7]: (( q_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ q_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f42,axiom,(
% 0.12/0.47 (![X_1,X_2,X_3,X_4,X_5,X_6,X_7]: (( q_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ q_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f47,axiom,(
% 0.12/0.47 (![X_1,X_2,X_3,X_4,X_5,X_6,X_7]: (( q_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ q_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f48,axiom,(
% 0.12/0.47 (![X_1,X_2,X_3,X_4,X_5,X_6,X_7]: (( q_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ p_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ q_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f54,axiom,(
% 0.12/0.47 (![X_1,X_2,X_3,X_4,X_5,X_6,X_7]: (( p_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ nq_1(X_1)| ~ nq_2(X_2)| ~ nq_3(X_3)| ~ nq_4(X_4)| ~ nq_5(X_5)| ~ nq_6(X_6)| ~ nq_7(X_7) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f55,axiom,(
% 0.12/0.47 (![X_1,X_2,X_3,X_4,X_5,X_6,X_7]: (( p_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ nq_1(X_1)| ~ nq_2(X_2)| ~ nq_3(X_3)| ~ nq_4(X_4)| ~ nq_5(X_5)| ~ nq_6(X_6)| ~ nq_7(X_7) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f57,axiom,(
% 0.12/0.47 (![X_1,X_2,X_3,X_4,X_5,X_6,X_7]: (( q_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7)| ~ nq_1(X_1)| ~ nq_2(X_2)| ~ nq_3(X_3)| ~ nq_4(X_4)| ~ nq_5(X_5)| ~ nq_6(X_6)| ~ nq_7(X_7) ) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f58,axiom,(
% 0.12/0.47 nq_1(a) ),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f60,axiom,(
% 0.12/0.47 nq_2(a) ),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f62,axiom,(
% 0.12/0.47 nq_3(a) ),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f64,axiom,(
% 0.12/0.47 nq_4(a) ),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f66,axiom,(
% 0.12/0.47 nq_5(a) ),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f68,axiom,(
% 0.12/0.47 nq_6(a) ),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f70,axiom,(
% 0.12/0.47 nq_7(a) ),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f72,plain,(
% 0.12/0.47 ~p_0(a,a,a,a,a,a,a)|~q_0(a,a,a,a,a,a,a)),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.47 fof(f73,plain,(
% 0.12/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (p_0(X0,X1,X2,X3,X4,X5,X6)|~p_1(X0,X1,X2,X3,X4,X5,X6)|~p_2(X0,X1,X2,X3,X4,X5,X6))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.47 fof(f75,plain,(
% 0.12/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (p_1(X0,X1,X2,X3,X4,X5,X6)|~p_2(X0,X1,X2,X3,X4,X5,X6)|~p_3(X0,X1,X2,X3,X4,X5,X6))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.47 fof(f77,plain,(
% 0.12/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (p_2(X0,X1,X2,X3,X4,X5,X6)|~p_3(X0,X1,X2,X3,X4,X5,X6)|~p_4(X0,X1,X2,X3,X4,X5,X6))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.47 fof(f79,plain,(
% 0.12/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (p_3(X0,X1,X2,X3,X4,X5,X6)|~p_4(X0,X1,X2,X3,X4,X5,X6)|~p_5(X0,X1,X2,X3,X4,X5,X6))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.47 fof(f81,plain,(
% 0.12/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (p_4(X0,X1,X2,X3,X4,X5,X6)|~p_5(X0,X1,X2,X3,X4,X5,X6)|~p_6(X0,X1,X2,X3,X4,X5,X6))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.47 fof(f83,plain,(
% 0.12/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (p_5(X0,X1,X2,X3,X4,X5,X6)|~p_6(X0,X1,X2,X3,X4,X5,X6)|~p_7(X0,X1,X2,X3,X4,X5,X6))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.47 fof(f85,plain,(
% 0.12/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (p_6(X0,X1,X2,X3,X4,X5,X6)|~p_7(X0,X1,X2,X3,X4,X5,X6)|~p_8(X0,X1,X2,X3,X4,X5,X6))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.47 fof(f87,plain,(
% 0.12/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (p_7(X0,X1,X2,X3,X4,X5,X6)|~p_8(X0,X1,X2,X3,X4,X5,X6)|~p_9(X0,X1,X2,X3,X4,X5,X6))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.47 fof(f89,plain,(
% 0.12/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (p_8(X0,X1,X2,X3,X4,X5,X6)|~p_9(X0,X1,X2,X3,X4,X5,X6)|~p_10(X0,X1,X2,X3,X4,X5,X6))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f18])).
% 0.12/0.47 fof(f91,plain,(
% 0.12/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (p_9(X0,X1,X2,X3,X4,X5,X6)|~p_10(X0,X1,X2,X3,X4,X5,X6)|~p_11(X0,X1,X2,X3,X4,X5,X6))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f20])).
% 0.12/0.47 fof(f93,plain,(
% 0.12/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (p_10(X0,X1,X2,X3,X4,X5,X6)|~p_11(X0,X1,X2,X3,X4,X5,X6)|~p_12(X0,X1,X2,X3,X4,X5,X6))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f22])).
% 0.12/0.47 fof(f95,plain,(
% 0.12/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (p_11(X0,X1,X2,X3,X4,X5,X6)|~p_12(X0,X1,X2,X3,X4,X5,X6)|~p_13(X0,X1,X2,X3,X4,X5,X6))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.47 fof(f98,plain,(
% 0.12/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (q_0(X0,X1,X2,X3,X4,X5,X6)|~q_1(X0,X1,X2,X3,X4,X5,X6)|~p_2(X0,X1,X2,X3,X4,X5,X6))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.47 fof(f100,plain,(
% 0.12/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (q_1(X0,X1,X2,X3,X4,X5,X6)|~q_2(X0,X1,X2,X3,X4,X5,X6)|~p_3(X0,X1,X2,X3,X4,X5,X6))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.47 fof(f101,plain,(
% 0.12/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (q_2(X0,X1,X2,X3,X4,X5,X6)|~p_3(X0,X1,X2,X3,X4,X5,X6)|~q_4(X0,X1,X2,X3,X4,X5,X6))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/0.47 fof(f105,plain,(
% 0.12/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (q_4(X0,X1,X2,X3,X4,X5,X6)|~p_5(X0,X1,X2,X3,X4,X5,X6)|~q_6(X0,X1,X2,X3,X4,X5,X6))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f34])).
% 0.12/0.47 fof(f109,plain,(
% 0.12/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (q_6(X0,X1,X2,X3,X4,X5,X6)|~p_7(X0,X1,X2,X3,X4,X5,X6)|~q_8(X0,X1,X2,X3,X4,X5,X6))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f38])).
% 0.12/0.47 fof(f113,plain,(
% 0.12/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (q_8(X0,X1,X2,X3,X4,X5,X6)|~p_9(X0,X1,X2,X3,X4,X5,X6)|~q_10(X0,X1,X2,X3,X4,X5,X6))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f42])).
% 0.12/0.47 fof(f118,plain,(
% 0.12/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (q_10(X0,X1,X2,X3,X4,X5,X6)|~q_11(X0,X1,X2,X3,X4,X5,X6)|~p_12(X0,X1,X2,X3,X4,X5,X6))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f47])).
% 0.12/0.47 fof(f119,plain,(
% 0.12/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (q_11(X0,X1,X2,X3,X4,X5,X6)|~p_12(X0,X1,X2,X3,X4,X5,X6)|~q_13(X0,X1,X2,X3,X4,X5,X6))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f48])).
% 0.12/0.47 fof(f125,plain,(
% 0.12/0.47 ![X_7]: ((![X_6]: ((![X_5]: ((![X_4]: ((![X_3]: ((![X_2]: ((![X_1]: (p_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7)|~nq_1(X_1)))|~nq_2(X_2)))|~nq_3(X_3)))|~nq_4(X_4)))|~nq_5(X_5)))|~nq_6(X_6)))|~nq_7(X_7))),
% 0.12/0.47 inference(miniscoping,[status(thm)],[f54])).
% 0.12/0.47 fof(f126,plain,(
% 0.12/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (p_12(X0,X1,X2,X3,X4,X5,X6)|~nq_1(X0)|~nq_2(X1)|~nq_3(X2)|~nq_4(X3)|~nq_5(X4)|~nq_6(X5)|~nq_7(X6))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f125])).
% 0.12/0.47 fof(f127,plain,(
% 0.12/0.47 ![X_7]: ((![X_6]: ((![X_5]: ((![X_4]: ((![X_3]: ((![X_2]: ((![X_1]: (p_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7)|~nq_1(X_1)))|~nq_2(X_2)))|~nq_3(X_3)))|~nq_4(X_4)))|~nq_5(X_5)))|~nq_6(X_6)))|~nq_7(X_7))),
% 0.12/0.47 inference(miniscoping,[status(thm)],[f55])).
% 0.12/0.47 fof(f128,plain,(
% 0.12/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (p_13(X0,X1,X2,X3,X4,X5,X6)|~nq_1(X0)|~nq_2(X1)|~nq_3(X2)|~nq_4(X3)|~nq_5(X4)|~nq_6(X5)|~nq_7(X6))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f127])).
% 0.12/0.47 fof(f131,plain,(
% 0.12/0.47 ![X_7]: ((![X_6]: ((![X_5]: ((![X_4]: ((![X_3]: ((![X_2]: ((![X_1]: (q_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7)|~nq_1(X_1)))|~nq_2(X_2)))|~nq_3(X_3)))|~nq_4(X_4)))|~nq_5(X_5)))|~nq_6(X_6)))|~nq_7(X_7))),
% 0.12/0.47 inference(miniscoping,[status(thm)],[f57])).
% 0.12/0.47 fof(f132,plain,(
% 0.12/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (q_13(X0,X1,X2,X3,X4,X5,X6)|~nq_1(X0)|~nq_2(X1)|~nq_3(X2)|~nq_4(X3)|~nq_5(X4)|~nq_6(X5)|~nq_7(X6))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f131])).
% 0.12/0.47 fof(f133,plain,(
% 0.12/0.47 nq_1(a)),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f58])).
% 0.12/0.47 fof(f135,plain,(
% 0.12/0.47 nq_2(a)),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f60])).
% 0.12/0.47 fof(f137,plain,(
% 0.12/0.47 nq_3(a)),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f62])).
% 0.12/0.47 fof(f139,plain,(
% 0.12/0.47 nq_4(a)),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f64])).
% 0.12/0.47 fof(f141,plain,(
% 0.12/0.47 nq_5(a)),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f66])).
% 0.12/0.47 fof(f143,plain,(
% 0.12/0.47 nq_6(a)),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f68])).
% 0.12/0.47 fof(f145,plain,(
% 0.12/0.47 nq_7(a)),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f70])).
% 0.12/0.47 fof(f147,definition,(
% 0.12/0.47 sQ0_spl <=> (p_0(a,a,a,a,a,a,a))),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.47 fof(f149,plain,(
% 0.12/0.47 ~p_0(a,a,a,a,a,a,a)|sQ0_spl),
% 0.12/0.47 inference(component_clause,[status(thm)],[f147])).
% 0.12/0.47 fof(f150,definition,(
% 0.12/0.47 sQ1_spl <=> (q_0(a,a,a,a,a,a,a))),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.47 fof(f152,plain,(
% 0.12/0.47 ~q_0(a,a,a,a,a,a,a)|sQ1_spl),
% 0.12/0.47 inference(component_clause,[status(thm)],[f150])).
% 0.12/0.47 fof(f153,plain,(
% 0.12/0.47 ~sQ0_spl|~sQ1_spl),
% 0.12/0.47 inference(split_clause,[status(thm)],[f72,f147,f150])).
% 0.12/0.47 fof(f155,plain,(
% 0.12/0.47 ~p_1(a,a,a,a,a,a,a)|~p_2(a,a,a,a,a,a,a)|sQ0_spl),
% 0.12/0.47 inference(resolution,[status(thm)],[f149,f73])).
% 0.12/0.47 fof(f156,definition,(
% 0.12/0.47 sQ2_spl <=> (q_1(a,a,a,a,a,a,a))),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.47 fof(f158,plain,(
% 0.12/0.47 ~q_1(a,a,a,a,a,a,a)|sQ2_spl),
% 0.12/0.47 inference(component_clause,[status(thm)],[f156])).
% 0.12/0.47 fof(f159,definition,(
% 0.12/0.47 sQ3_spl <=> (q_2(a,a,a,a,a,a,a))),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.47 fof(f163,definition,(
% 0.12/0.47 sQ4_spl <=> (p_1(a,a,a,a,a,a,a))),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.47 fof(f165,plain,(
% 0.12/0.47 ~p_1(a,a,a,a,a,a,a)|sQ4_spl),
% 0.12/0.47 inference(component_clause,[status(thm)],[f163])).
% 0.12/0.47 fof(f166,definition,(
% 0.12/0.47 sQ5_spl <=> (p_2(a,a,a,a,a,a,a))),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.47 fof(f168,plain,(
% 0.12/0.47 ~p_2(a,a,a,a,a,a,a)|sQ5_spl),
% 0.12/0.47 inference(component_clause,[status(thm)],[f166])).
% 0.12/0.47 fof(f169,plain,(
% 0.12/0.47 ~sQ4_spl|~sQ5_spl|sQ0_spl),
% 0.12/0.47 inference(split_clause,[status(thm)],[f155,f163,f166,f147])).
% 0.12/0.47 fof(f171,plain,(
% 0.12/0.47 ~p_2(a,a,a,a,a,a,a)|~p_3(a,a,a,a,a,a,a)|sQ4_spl),
% 0.12/0.47 inference(resolution,[status(thm)],[f165,f75])).
% 0.12/0.47 fof(f176,definition,(
% 0.12/0.47 sQ7_spl <=> (p_3(a,a,a,a,a,a,a))),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.47 fof(f178,plain,(
% 0.12/0.47 ~p_3(a,a,a,a,a,a,a)|sQ7_spl),
% 0.12/0.47 inference(component_clause,[status(thm)],[f176])).
% 0.12/0.47 fof(f179,plain,(
% 0.12/0.47 ~sQ5_spl|~sQ7_spl|sQ4_spl),
% 0.12/0.47 inference(split_clause,[status(thm)],[f171,f166,f176,f163])).
% 0.12/0.47 fof(f181,plain,(
% 0.12/0.47 ~p_3(a,a,a,a,a,a,a)|~p_4(a,a,a,a,a,a,a)|sQ5_spl),
% 0.12/0.47 inference(resolution,[status(thm)],[f168,f77])).
% 0.12/0.47 fof(f182,definition,(
% 0.12/0.47 sQ8_spl <=> (q_4(a,a,a,a,a,a,a))),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/0.47 fof(f183,plain,(
% 0.12/0.47 q_4(a,a,a,a,a,a,a)|~sQ8_spl),
% 0.12/0.47 inference(component_clause,[status(thm)],[f182])).
% 0.12/0.47 fof(f186,definition,(
% 0.12/0.47 sQ9_spl <=> (p_4(a,a,a,a,a,a,a))),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/0.47 fof(f188,plain,(
% 0.12/0.47 ~p_4(a,a,a,a,a,a,a)|sQ9_spl),
% 0.12/0.47 inference(component_clause,[status(thm)],[f186])).
% 0.12/0.47 fof(f189,plain,(
% 0.12/0.47 ~sQ7_spl|~sQ9_spl|sQ5_spl),
% 0.12/0.47 inference(split_clause,[status(thm)],[f181,f176,f186,f166])).
% 0.12/0.47 fof(f191,plain,(
% 0.12/0.47 ~p_4(a,a,a,a,a,a,a)|~p_5(a,a,a,a,a,a,a)|sQ7_spl),
% 0.12/0.47 inference(resolution,[status(thm)],[f178,f79])).
% 0.12/0.47 fof(f196,definition,(
% 0.12/0.47 sQ11_spl <=> (p_5(a,a,a,a,a,a,a))),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/0.47 fof(f198,plain,(
% 0.12/0.47 ~p_5(a,a,a,a,a,a,a)|sQ11_spl),
% 0.12/0.47 inference(component_clause,[status(thm)],[f196])).
% 0.12/0.47 fof(f199,plain,(
% 0.12/0.47 ~sQ9_spl|~sQ11_spl|sQ7_spl),
% 0.12/0.47 inference(split_clause,[status(thm)],[f191,f186,f196,f176])).
% 0.12/0.47 fof(f205,plain,(
% 0.12/0.47 ~p_5(a,a,a,a,a,a,a)|~p_6(a,a,a,a,a,a,a)|sQ9_spl),
% 0.12/0.47 inference(resolution,[status(thm)],[f188,f81])).
% 0.12/0.47 fof(f206,definition,(
% 0.12/0.47 sQ12_spl <=> (q_6(a,a,a,a,a,a,a))),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/0.47 fof(f207,plain,(
% 0.12/0.47 q_6(a,a,a,a,a,a,a)|~sQ12_spl),
% 0.12/0.47 inference(component_clause,[status(thm)],[f206])).
% 0.12/0.47 fof(f210,definition,(
% 0.12/0.47 sQ13_spl <=> (p_6(a,a,a,a,a,a,a))),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/0.47 fof(f212,plain,(
% 0.12/0.47 ~p_6(a,a,a,a,a,a,a)|sQ13_spl),
% 0.12/0.47 inference(component_clause,[status(thm)],[f210])).
% 0.12/0.47 fof(f213,plain,(
% 0.12/0.47 ~sQ11_spl|~sQ13_spl|sQ9_spl),
% 0.12/0.47 inference(split_clause,[status(thm)],[f205,f196,f210,f186])).
% 0.12/0.47 fof(f219,plain,(
% 0.12/0.47 ~p_6(a,a,a,a,a,a,a)|~p_7(a,a,a,a,a,a,a)|sQ11_spl),
% 0.12/0.47 inference(resolution,[status(thm)],[f198,f83])).
% 0.12/0.47 fof(f224,definition,(
% 0.12/0.47 sQ15_spl <=> (p_7(a,a,a,a,a,a,a))),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.12/0.47 fof(f226,plain,(
% 0.12/0.47 ~p_7(a,a,a,a,a,a,a)|sQ15_spl),
% 0.12/0.47 inference(component_clause,[status(thm)],[f224])).
% 0.12/0.47 fof(f227,plain,(
% 0.12/0.47 ~sQ13_spl|~sQ15_spl|sQ11_spl),
% 0.12/0.47 inference(split_clause,[status(thm)],[f219,f210,f224,f196])).
% 0.12/0.47 fof(f233,plain,(
% 0.12/0.47 ~p_7(a,a,a,a,a,a,a)|~p_8(a,a,a,a,a,a,a)|sQ13_spl),
% 0.12/0.47 inference(resolution,[status(thm)],[f212,f85])).
% 0.12/0.47 fof(f234,definition,(
% 0.12/0.47 sQ16_spl <=> (q_8(a,a,a,a,a,a,a))),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.12/0.47 fof(f235,plain,(
% 0.12/0.47 q_8(a,a,a,a,a,a,a)|~sQ16_spl),
% 0.12/0.47 inference(component_clause,[status(thm)],[f234])).
% 0.12/0.47 fof(f238,definition,(
% 0.12/0.47 sQ17_spl <=> (p_8(a,a,a,a,a,a,a))),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.12/0.47 fof(f240,plain,(
% 0.12/0.47 ~p_8(a,a,a,a,a,a,a)|sQ17_spl),
% 0.12/0.47 inference(component_clause,[status(thm)],[f238])).
% 0.12/0.47 fof(f241,plain,(
% 0.12/0.47 ~sQ15_spl|~sQ17_spl|sQ13_spl),
% 0.12/0.47 inference(split_clause,[status(thm)],[f233,f224,f238,f210])).
% 0.12/0.47 fof(f247,plain,(
% 0.12/0.47 ~p_8(a,a,a,a,a,a,a)|~p_9(a,a,a,a,a,a,a)|sQ15_spl),
% 0.12/0.47 inference(resolution,[status(thm)],[f226,f87])).
% 0.12/0.47 fof(f252,definition,(
% 0.12/0.47 sQ19_spl <=> (p_9(a,a,a,a,a,a,a))),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.12/0.47 fof(f254,plain,(
% 0.12/0.47 ~p_9(a,a,a,a,a,a,a)|sQ19_spl),
% 0.12/0.47 inference(component_clause,[status(thm)],[f252])).
% 0.12/0.47 fof(f255,plain,(
% 0.12/0.47 ~sQ17_spl|~sQ19_spl|sQ15_spl),
% 0.12/0.47 inference(split_clause,[status(thm)],[f247,f238,f252,f224])).
% 0.12/0.47 fof(f261,plain,(
% 0.12/0.47 ~p_9(a,a,a,a,a,a,a)|~p_10(a,a,a,a,a,a,a)|sQ17_spl),
% 0.12/0.47 inference(resolution,[status(thm)],[f240,f89])).
% 0.12/0.47 fof(f262,definition,(
% 0.12/0.47 sQ20_spl <=> (q_10(a,a,a,a,a,a,a))),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.12/0.47 fof(f263,plain,(
% 0.12/0.47 q_10(a,a,a,a,a,a,a)|~sQ20_spl),
% 0.12/0.47 inference(component_clause,[status(thm)],[f262])).
% 0.12/0.47 fof(f266,definition,(
% 0.12/0.47 sQ21_spl <=> (p_10(a,a,a,a,a,a,a))),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.12/0.47 fof(f268,plain,(
% 0.12/0.47 ~p_10(a,a,a,a,a,a,a)|sQ21_spl),
% 0.12/0.47 inference(component_clause,[status(thm)],[f266])).
% 0.12/0.48 fof(f269,plain,(
% 0.12/0.48 ~sQ19_spl|~sQ21_spl|sQ17_spl),
% 0.12/0.48 inference(split_clause,[status(thm)],[f261,f252,f266,f238])).
% 0.12/0.48 fof(f275,plain,(
% 0.12/0.48 ~p_10(a,a,a,a,a,a,a)|~p_11(a,a,a,a,a,a,a)|sQ19_spl),
% 0.12/0.48 inference(resolution,[status(thm)],[f254,f91])).
% 0.12/0.48 fof(f276,definition,(
% 0.12/0.48 sQ22_spl <=> (q_11(a,a,a,a,a,a,a))),
% 0.12/0.48 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.12/0.48 fof(f277,plain,(
% 0.12/0.48 q_11(a,a,a,a,a,a,a)|~sQ22_spl),
% 0.12/0.48 inference(component_clause,[status(thm)],[f276])).
% 0.12/0.48 fof(f280,definition,(
% 0.12/0.48 sQ23_spl <=> (p_11(a,a,a,a,a,a,a))),
% 0.12/0.48 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.12/0.48 fof(f282,plain,(
% 0.12/0.48 ~p_11(a,a,a,a,a,a,a)|sQ23_spl),
% 0.12/0.48 inference(component_clause,[status(thm)],[f280])).
% 0.12/0.48 fof(f283,plain,(
% 0.12/0.48 ~sQ21_spl|~sQ23_spl|sQ19_spl),
% 0.12/0.48 inference(split_clause,[status(thm)],[f275,f266,f280,f252])).
% 0.12/0.48 fof(f289,plain,(
% 0.12/0.48 ~p_11(a,a,a,a,a,a,a)|~p_12(a,a,a,a,a,a,a)|sQ21_spl),
% 0.12/0.48 inference(resolution,[status(thm)],[f268,f93])).
% 0.12/0.48 fof(f294,definition,(
% 0.12/0.48 sQ25_spl <=> (p_12(a,a,a,a,a,a,a))),
% 0.12/0.48 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.12/0.48 fof(f295,plain,(
% 0.12/0.48 p_12(a,a,a,a,a,a,a)|~sQ25_spl),
% 0.12/0.48 inference(component_clause,[status(thm)],[f294])).
% 0.12/0.48 fof(f296,plain,(
% 0.12/0.48 ~p_12(a,a,a,a,a,a,a)|sQ25_spl),
% 0.12/0.48 inference(component_clause,[status(thm)],[f294])).
% 0.12/0.48 fof(f297,plain,(
% 0.12/0.48 ~sQ23_spl|~sQ25_spl|sQ21_spl),
% 0.12/0.48 inference(split_clause,[status(thm)],[f289,f280,f294,f266])).
% 0.12/0.48 fof(f303,plain,(
% 0.12/0.48 ~p_12(a,a,a,a,a,a,a)|~p_13(a,a,a,a,a,a,a)|sQ23_spl),
% 0.12/0.48 inference(resolution,[status(thm)],[f282,f95])).
% 0.12/0.48 fof(f304,definition,(
% 0.12/0.48 sQ26_spl <=> (q_13(a,a,a,a,a,a,a))),
% 0.12/0.48 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.12/0.48 fof(f306,plain,(
% 0.12/0.48 ~q_13(a,a,a,a,a,a,a)|sQ26_spl),
% 0.12/0.48 inference(component_clause,[status(thm)],[f304])).
% 0.12/0.48 fof(f308,definition,(
% 0.12/0.48 sQ27_spl <=> (p_13(a,a,a,a,a,a,a))),
% 0.12/0.48 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.12/0.48 fof(f310,plain,(
% 0.12/0.48 ~p_13(a,a,a,a,a,a,a)|sQ27_spl),
% 0.12/0.48 inference(component_clause,[status(thm)],[f308])).
% 0.12/0.48 fof(f311,plain,(
% 0.12/0.48 ~sQ25_spl|~sQ27_spl|sQ23_spl),
% 0.12/0.48 inference(split_clause,[status(thm)],[f303,f294,f308,f280])).
% 0.12/0.48 fof(f325,plain,(
% 0.12/0.48 ![X0,X1,X2,X3,X4,X5]: (p_12(a,X0,X1,X2,X3,X4,X5)|~nq_2(X0)|~nq_3(X1)|~nq_4(X2)|~nq_5(X3)|~nq_6(X4)|~nq_7(X5))),
% 0.12/0.48 inference(resolution,[status(thm)],[f126,f133])).
% 0.12/0.48 fof(f339,plain,(
% 0.12/0.48 ![X0,X1,X2,X3,X4]: (p_12(a,a,X0,X1,X2,X3,X4)|~nq_3(X0)|~nq_4(X1)|~nq_5(X2)|~nq_6(X3)|~nq_7(X4))),
% 0.12/0.48 inference(resolution,[status(thm)],[f325,f135])).
% 0.12/0.48 fof(f344,plain,(
% 0.12/0.48 ![X0,X1,X2,X3]: (p_12(a,a,a,X0,X1,X2,X3)|~nq_4(X0)|~nq_5(X1)|~nq_6(X2)|~nq_7(X3))),
% 0.12/0.48 inference(resolution,[status(thm)],[f339,f137])).
% 0.12/0.48 fof(f349,plain,(
% 0.12/0.48 ![X0,X1,X2]: (p_12(a,a,a,a,X0,X1,X2)|~nq_5(X0)|~nq_6(X1)|~nq_7(X2))),
% 0.12/0.48 inference(resolution,[status(thm)],[f344,f139])).
% 0.12/0.48 fof(f355,plain,(
% 0.12/0.48 ![X0,X1]: (p_12(a,a,a,a,a,X0,X1)|~nq_6(X0)|~nq_7(X1))),
% 0.12/0.48 inference(resolution,[status(thm)],[f349,f141])).
% 0.12/0.48 fof(f369,plain,(
% 0.12/0.48 ![X0]: (p_12(a,a,a,a,a,a,X0)|~nq_7(X0))),
% 0.12/0.48 inference(resolution,[status(thm)],[f355,f143])).
% 0.12/0.48 fof(f375,plain,(
% 0.12/0.48 ~nq_7(a)|sQ25_spl),
% 0.12/0.48 inference(resolution,[status(thm)],[f369,f296])).
% 0.12/0.48 fof(f377,plain,(
% 0.12/0.48 $false|sQ25_spl),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f375,f145])).
% 0.12/0.48 fof(f378,plain,(
% 0.12/0.48 sQ25_spl),
% 0.12/0.48 inference(contradiction_clause,[status(thm)],[f377])).
% 0.12/0.48 fof(f381,plain,(
% 0.12/0.48 ~nq_1(a)|~nq_2(a)|~nq_3(a)|~nq_4(a)|~nq_5(a)|~nq_6(a)|~nq_7(a)|sQ27_spl),
% 0.12/0.48 inference(resolution,[status(thm)],[f310,f128])).
% 0.12/0.48 fof(f382,definition,(
% 0.12/0.48 sQ30_spl <=> (nq_1(a))),
% 0.12/0.48 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.12/0.48 fof(f384,plain,(
% 0.12/0.48 ~nq_1(a)|sQ30_spl),
% 0.12/0.48 inference(component_clause,[status(thm)],[f382])).
% 0.12/0.48 fof(f385,definition,(
% 0.12/0.48 sQ31_spl <=> (nq_2(a))),
% 0.12/0.48 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.12/0.48 fof(f387,plain,(
% 0.12/0.48 ~nq_2(a)|sQ31_spl),
% 0.12/0.48 inference(component_clause,[status(thm)],[f385])).
% 0.12/0.48 fof(f388,definition,(
% 0.12/0.48 sQ32_spl <=> (nq_3(a))),
% 0.12/0.48 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.12/0.48 fof(f390,plain,(
% 0.12/0.48 ~nq_3(a)|sQ32_spl),
% 0.12/0.48 inference(component_clause,[status(thm)],[f388])).
% 0.12/0.48 fof(f391,definition,(
% 0.12/0.48 sQ33_spl <=> (nq_4(a))),
% 0.12/0.48 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.12/0.48 fof(f393,plain,(
% 0.12/0.48 ~nq_4(a)|sQ33_spl),
% 0.12/0.48 inference(component_clause,[status(thm)],[f391])).
% 0.12/0.48 fof(f394,definition,(
% 0.12/0.48 sQ34_spl <=> (nq_5(a))),
% 0.12/0.48 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.12/0.48 fof(f396,plain,(
% 0.12/0.48 ~nq_5(a)|sQ34_spl),
% 0.12/0.48 inference(component_clause,[status(thm)],[f394])).
% 0.12/0.48 fof(f397,definition,(
% 0.12/0.48 sQ35_spl <=> (nq_6(a))),
% 0.12/0.48 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.12/0.48 fof(f399,plain,(
% 0.12/0.48 ~nq_6(a)|sQ35_spl),
% 0.12/0.48 inference(component_clause,[status(thm)],[f397])).
% 0.12/0.48 fof(f400,definition,(
% 0.12/0.48 sQ36_spl <=> (nq_7(a))),
% 0.12/0.48 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.12/0.48 fof(f402,plain,(
% 0.12/0.48 ~nq_7(a)|sQ36_spl),
% 0.12/0.48 inference(component_clause,[status(thm)],[f400])).
% 0.12/0.48 fof(f403,plain,(
% 0.12/0.48 ~sQ30_spl|~sQ31_spl|~sQ32_spl|~sQ33_spl|~sQ34_spl|~sQ35_spl|~sQ36_spl|sQ27_spl),
% 0.12/0.48 inference(split_clause,[status(thm)],[f381,f382,f385,f388,f391,f394,f397,f400,f308])).
% 0.12/0.48 fof(f404,plain,(
% 0.12/0.48 $false|sQ36_spl),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f402,f145])).
% 0.12/0.48 fof(f405,plain,(
% 0.12/0.48 sQ36_spl),
% 0.12/0.48 inference(contradiction_clause,[status(thm)],[f404])).
% 0.12/0.48 fof(f406,plain,(
% 0.12/0.48 $false|sQ35_spl),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f399,f143])).
% 0.12/0.48 fof(f407,plain,(
% 0.12/0.48 sQ35_spl),
% 0.12/0.48 inference(contradiction_clause,[status(thm)],[f406])).
% 0.12/0.48 fof(f408,plain,(
% 0.12/0.48 $false|sQ34_spl),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f396,f141])).
% 0.12/0.48 fof(f409,plain,(
% 0.12/0.48 sQ34_spl),
% 0.12/0.48 inference(contradiction_clause,[status(thm)],[f408])).
% 0.12/0.48 fof(f410,plain,(
% 0.12/0.48 $false|sQ33_spl),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f393,f139])).
% 0.12/0.48 fof(f411,plain,(
% 0.12/0.48 sQ33_spl),
% 0.12/0.48 inference(contradiction_clause,[status(thm)],[f410])).
% 0.12/0.48 fof(f412,plain,(
% 0.12/0.48 $false|sQ32_spl),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f390,f137])).
% 0.12/0.48 fof(f413,plain,(
% 0.12/0.48 sQ32_spl),
% 0.12/0.48 inference(contradiction_clause,[status(thm)],[f412])).
% 0.12/0.48 fof(f414,plain,(
% 0.12/0.48 $false|sQ30_spl),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f384,f133])).
% 0.12/0.48 fof(f415,plain,(
% 0.12/0.48 sQ30_spl),
% 0.12/0.48 inference(contradiction_clause,[status(thm)],[f414])).
% 0.12/0.48 fof(f416,plain,(
% 0.12/0.48 $false|sQ31_spl),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f387,f135])).
% 0.12/0.48 fof(f417,plain,(
% 0.12/0.48 sQ31_spl),
% 0.12/0.48 inference(contradiction_clause,[status(thm)],[f416])).
% 0.12/0.48 fof(f418,plain,(
% 0.12/0.48 ~q_1(a,a,a,a,a,a,a)|~p_2(a,a,a,a,a,a,a)|sQ1_spl),
% 0.12/0.48 inference(resolution,[status(thm)],[f152,f98])).
% 0.12/0.48 fof(f420,plain,(
% 0.12/0.48 ~sQ2_spl|~sQ5_spl|sQ1_spl),
% 0.12/0.48 inference(split_clause,[status(thm)],[f418,f156,f166,f150])).
% 0.12/0.48 fof(f422,plain,(
% 0.12/0.48 q_11(a,a,a,a,a,a,a)|~q_13(a,a,a,a,a,a,a)|~sQ25_spl),
% 0.12/0.48 inference(resolution,[status(thm)],[f295,f119])).
% 0.12/0.48 fof(f423,plain,(
% 0.12/0.48 sQ22_spl|~sQ26_spl|~sQ25_spl),
% 0.12/0.48 inference(split_clause,[status(thm)],[f422,f276,f304,f294])).
% 0.12/0.48 fof(f424,plain,(
% 0.12/0.48 ~q_2(a,a,a,a,a,a,a)|~p_3(a,a,a,a,a,a,a)|sQ2_spl),
% 0.12/0.48 inference(resolution,[status(thm)],[f158,f100])).
% 0.12/0.48 fof(f425,plain,(
% 0.12/0.48 ~sQ3_spl|~sQ7_spl|sQ2_spl),
% 0.12/0.48 inference(split_clause,[status(thm)],[f424,f159,f176,f156])).
% 0.12/0.48 fof(f453,plain,(
% 0.12/0.48 ~nq_1(a)|~nq_2(a)|~nq_3(a)|~nq_4(a)|~nq_5(a)|~nq_6(a)|~nq_7(a)|sQ26_spl),
% 0.12/0.48 inference(resolution,[status(thm)],[f306,f132])).
% 0.12/0.48 fof(f454,plain,(
% 0.12/0.48 ~sQ30_spl|~sQ31_spl|~sQ32_spl|~sQ33_spl|~sQ34_spl|~sQ35_spl|~sQ36_spl|sQ26_spl),
% 0.12/0.48 inference(split_clause,[status(thm)],[f453,f382,f385,f388,f391,f394,f397,f400,f304])).
% 0.12/0.48 fof(f464,plain,(
% 0.12/0.48 q_10(a,a,a,a,a,a,a)|~p_12(a,a,a,a,a,a,a)|~sQ22_spl),
% 0.12/0.48 inference(resolution,[status(thm)],[f277,f118])).
% 0.12/0.48 fof(f466,plain,(
% 0.12/0.48 sQ20_spl|~sQ25_spl|~sQ22_spl),
% 0.12/0.48 inference(split_clause,[status(thm)],[f464,f262,f294,f276])).
% 0.12/0.48 fof(f472,plain,(
% 0.12/0.48 q_8(a,a,a,a,a,a,a)|~p_9(a,a,a,a,a,a,a)|~sQ20_spl),
% 0.12/0.48 inference(resolution,[status(thm)],[f263,f113])).
% 0.12/0.48 fof(f475,plain,(
% 0.12/0.48 sQ16_spl|~sQ19_spl|~sQ20_spl),
% 0.12/0.48 inference(split_clause,[status(thm)],[f472,f234,f252,f262])).
% 0.12/0.48 fof(f491,plain,(
% 0.12/0.48 q_6(a,a,a,a,a,a,a)|~p_7(a,a,a,a,a,a,a)|~sQ16_spl),
% 0.12/0.48 inference(resolution,[status(thm)],[f235,f109])).
% 0.12/0.48 fof(f495,plain,(
% 0.12/0.48 sQ12_spl|~sQ15_spl|~sQ16_spl),
% 0.12/0.48 inference(split_clause,[status(thm)],[f491,f206,f224,f234])).
% 0.12/0.48 fof(f509,plain,(
% 0.12/0.48 q_4(a,a,a,a,a,a,a)|~p_5(a,a,a,a,a,a,a)|~sQ12_spl),
% 0.12/0.48 inference(resolution,[status(thm)],[f207,f105])).
% 0.12/0.48 fof(f511,plain,(
% 0.12/0.48 sQ8_spl|~sQ11_spl|~sQ12_spl),
% 0.12/0.48 inference(split_clause,[status(thm)],[f509,f182,f196,f206])).
% 0.12/0.48 fof(f513,plain,(
% 0.12/0.48 q_2(a,a,a,a,a,a,a)|~p_3(a,a,a,a,a,a,a)|~sQ8_spl),
% 0.12/0.48 inference(resolution,[status(thm)],[f183,f101])).
% 0.12/0.48 fof(f515,plain,(
% 0.12/0.48 sQ3_spl|~sQ7_spl|~sQ8_spl),
% 0.12/0.48 inference(split_clause,[status(thm)],[f513,f159,f176,f182])).
% 0.12/0.48 fof(f516,plain,(
% 0.12/0.48 $false),
% 0.12/0.48 inference(sat_refutation,[status(thm)],[f153,f169,f179,f189,f199,f213,f227,f241,f255,f269,f283,f297,f311,f378,f403,f405,f407,f409,f411,f413,f415,f417,f420,f423,f425,f454,f466,f475,f495,f511,f515])).
% 0.12/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.50 % Elapsed time: 0.130828 seconds
% 0.12/0.50 % CPU time: 0.774959 seconds
% 0.12/0.50 % Total memory used: 78.325 MB
% 0.12/0.50 % Net memory used: 77.460 MB
%------------------------------------------------------------------------------