%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN102-1.007.007 : TPTP v9.3.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 03:15:13 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.38s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 34
% Syntax : Number of formulae : 129 ( 16 unt; 0 def)
% Number of atoms : 681 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 1117 ( 565 ~; 552 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 12 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 34 ( 33 usr; 1 prp; 0-7 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 707 ( 707 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ~ q_0(a,a,a,a,a,a,a)
| ~ p_0(a,a,a,a,a,a,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [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)
| ~ q_1(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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [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)
| ~ q_3(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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [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_4(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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [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)
| ~ q_5(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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X_1,X_2,X_3,X_4,X_5,X_6,X_7] :
( ~ q_7(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_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [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)
| ~ q_7(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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X_1,X_2,X_3,X_4,X_5,X_6,X_7] :
( ~ q_9(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_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [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_9(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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [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_10(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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [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_11(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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [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)
| ~ p_12(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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [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)
| ~ q_1(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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X_1,X_2,X_3,X_4,X_5,X_6,X_7] :
( ~ q_3(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)
| q_1(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [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_3(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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [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_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| q_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [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)
| ~ q_5(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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [X_1,X_2,X_3,X_4,X_5,X_6,X_7] :
( ~ q_7(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)
| q_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [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_7(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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [X_1,X_2,X_3,X_4,X_5,X_6,X_7] :
( ~ q_9(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)
| q_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [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)
| ~ p_9(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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [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)
| ~ q_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
| q_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [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_11(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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,axiom,
! [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)
| ~ p_12(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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,axiom,
! [X_1,X_2,X_3,X_4,X_5,X_6,X_7] :
( ~ nq_7(X_7)
| ~ nq_6(X_6)
| ~ nq_5(X_5)
| ~ nq_4(X_4)
| ~ nq_3(X_3)
| ~ nq_2(X_2)
| ~ nq_1(X_1)
| p_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,axiom,
! [X_1,X_2,X_3,X_4,X_5,X_6,X_7] :
( ~ nq_7(X_7)
| ~ nq_6(X_6)
| ~ nq_5(X_5)
| ~ nq_4(X_4)
| ~ nq_3(X_3)
| ~ nq_2(X_2)
| ~ nq_1(X_1)
| p_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [X_1,X_2,X_3,X_4,X_5,X_6,X_7] :
( ~ nq_7(X_7)
| ~ nq_6(X_6)
| ~ nq_5(X_5)
| ~ nq_4(X_4)
| ~ nq_3(X_3)
| ~ nq_2(X_2)
| ~ nq_1(X_1)
| q_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,axiom,
nq_1(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,axiom,
nq_2(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,axiom,
nq_3(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,axiom,
nq_4(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,axiom,
nq_5(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f68,axiom,
nq_6(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f70,axiom,
nq_7(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f72,plain,
( ~ q_0(a,a,a,a,a,a,a)
| ~ p_0(a,a,a,a,a,a,a) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f74,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ q_2(X0,X1,X2,X3,X4,X5,X6)
| ~ q_1(X0,X1,X2,X3,X4,X5,X6)
| p_0(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f78,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ q_4(X0,X1,X2,X3,X4,X5,X6)
| ~ q_3(X0,X1,X2,X3,X4,X5,X6)
| p_2(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f79,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p_5(X0,X1,X2,X3,X4,X5,X6)
| ~ p_4(X0,X1,X2,X3,X4,X5,X6)
| p_3(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f82,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ q_6(X0,X1,X2,X3,X4,X5,X6)
| ~ q_5(X0,X1,X2,X3,X4,X5,X6)
| p_4(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f84,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ q_7(X0,X1,X2,X3,X4,X5,X6)
| ~ q_6(X0,X1,X2,X3,X4,X5,X6)
| p_5(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f86,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ q_8(X0,X1,X2,X3,X4,X5,X6)
| ~ q_7(X0,X1,X2,X3,X4,X5,X6)
| p_6(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f88,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ q_9(X0,X1,X2,X3,X4,X5,X6)
| ~ q_8(X0,X1,X2,X3,X4,X5,X6)
| p_7(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f90,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ q_10(X0,X1,X2,X3,X4,X5,X6)
| ~ q_9(X0,X1,X2,X3,X4,X5,X6)
| p_8(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f91,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p_11(X0,X1,X2,X3,X4,X5,X6)
| ~ p_10(X0,X1,X2,X3,X4,X5,X6)
| p_9(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f93,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p_12(X0,X1,X2,X3,X4,X5,X6)
| ~ p_11(X0,X1,X2,X3,X4,X5,X6)
| p_10(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f95,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p_13(X0,X1,X2,X3,X4,X5,X6)
| ~ p_12(X0,X1,X2,X3,X4,X5,X6)
| p_11(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f98,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p_2(X0,X1,X2,X3,X4,X5,X6)
| ~ q_1(X0,X1,X2,X3,X4,X5,X6)
| q_0(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f99,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ q_3(X0,X1,X2,X3,X4,X5,X6)
| ~ p_2(X0,X1,X2,X3,X4,X5,X6)
| q_1(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f101,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ q_4(X0,X1,X2,X3,X4,X5,X6)
| ~ p_3(X0,X1,X2,X3,X4,X5,X6)
| q_2(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p_5(X0,X1,X2,X3,X4,X5,X6)
| ~ q_4(X0,X1,X2,X3,X4,X5,X6)
| q_3(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f106,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p_6(X0,X1,X2,X3,X4,X5,X6)
| ~ q_5(X0,X1,X2,X3,X4,X5,X6)
| q_4(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f107,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ q_7(X0,X1,X2,X3,X4,X5,X6)
| ~ p_6(X0,X1,X2,X3,X4,X5,X6)
| q_5(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ q_8(X0,X1,X2,X3,X4,X5,X6)
| ~ p_7(X0,X1,X2,X3,X4,X5,X6)
| q_6(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ q_9(X0,X1,X2,X3,X4,X5,X6)
| ~ p_8(X0,X1,X2,X3,X4,X5,X6)
| q_7(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f113,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ q_10(X0,X1,X2,X3,X4,X5,X6)
| ~ p_9(X0,X1,X2,X3,X4,X5,X6)
| q_8(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f116,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p_11(X0,X1,X2,X3,X4,X5,X6)
| ~ q_10(X0,X1,X2,X3,X4,X5,X6)
| q_9(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p_12(X0,X1,X2,X3,X4,X5,X6)
| ~ q_11(X0,X1,X2,X3,X4,X5,X6)
| q_10(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ q_13(X0,X1,X2,X3,X4,X5,X6)
| ~ p_12(X0,X1,X2,X3,X4,X5,X6)
| q_11(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f125,plain,
! [X_7] :
( ~ nq_7(X_7)
| ! [X_6] :
( ~ nq_6(X_6)
| ! [X_5] :
( ~ nq_5(X_5)
| ! [X_4] :
( ~ nq_4(X_4)
| ! [X_3] :
( ~ nq_3(X_3)
| ! [X_2] :
( ~ nq_2(X_2)
| ! [X_1] :
( ~ nq_1(X_1)
| p_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f54]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0)
| p_12(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f127,plain,
! [X_7] :
( ~ nq_7(X_7)
| ! [X_6] :
( ~ nq_6(X_6)
| ! [X_5] :
( ~ nq_5(X_5)
| ! [X_4] :
( ~ nq_4(X_4)
| ! [X_3] :
( ~ nq_3(X_3)
| ! [X_2] :
( ~ nq_2(X_2)
| ! [X_1] :
( ~ nq_1(X_1)
| p_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f55]) ).
fof(f128,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0)
| p_13(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f131,plain,
! [X_7] :
( ~ nq_7(X_7)
| ! [X_6] :
( ~ nq_6(X_6)
| ! [X_5] :
( ~ nq_5(X_5)
| ! [X_4] :
( ~ nq_4(X_4)
| ! [X_3] :
( ~ nq_3(X_3)
| ! [X_2] :
( ~ nq_2(X_2)
| ! [X_1] :
( ~ nq_1(X_1)
| q_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f57]) ).
fof(f132,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0)
| q_13(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f133,plain,
nq_1(a),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f135,plain,
nq_2(a),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f137,plain,
nq_3(a),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f139,plain,
nq_4(a),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f141,plain,
nq_5(a),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f143,plain,
nq_6(a),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f145,plain,
nq_7(a),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f147,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ q_11(X0,X1,X2,X3,X4,X5,X6)
| q_10(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(resolution,[status(thm)],[f126,f118]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p_11(X0,X1,X2,X3,X4,X5,X6)
| p_10(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(resolution,[status(thm)],[f126,f93]) ).
fof(f150,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p_12(X0,X1,X2,X3,X4,X5,X6)
| p_11(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(resolution,[status(thm)],[f128,f95]) ).
fof(f151,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( p_11(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f150,f126]) ).
fof(f154,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p_12(X0,X1,X2,X3,X4,X5,X6)
| q_11(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(resolution,[status(thm)],[f132,f119]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( q_11(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f154,f126]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ q_10(X0,X1,X2,X3,X4,X5,X6)
| q_9(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(resolution,[status(thm)],[f151,f116]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p_10(X0,X1,X2,X3,X4,X5,X6)
| p_9(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(resolution,[status(thm)],[f151,f91]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( q_10(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f147,f156]) ).
fof(f163,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p_9(X0,X1,X2,X3,X4,X5,X6)
| q_8(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(resolution,[status(thm)],[f160,f113]) ).
fof(f164,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ q_9(X0,X1,X2,X3,X4,X5,X6)
| p_8(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(resolution,[status(thm)],[f160,f90]) ).
fof(f165,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( p_10(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f148,f151]) ).
fof(f168,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( q_9(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f158,f160]) ).
fof(f169,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p_8(X0,X1,X2,X3,X4,X5,X6)
| q_7(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(resolution,[status(thm)],[f168,f111]) ).
fof(f170,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ q_8(X0,X1,X2,X3,X4,X5,X6)
| p_7(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(resolution,[status(thm)],[f168,f88]) ).
fof(f171,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( p_9(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f159,f165]) ).
fof(f174,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( q_8(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f163,f171]) ).
fof(f175,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p_7(X0,X1,X2,X3,X4,X5,X6)
| q_6(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(resolution,[status(thm)],[f174,f109]) ).
fof(f176,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ q_7(X0,X1,X2,X3,X4,X5,X6)
| p_6(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(resolution,[status(thm)],[f174,f86]) ).
fof(f177,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( p_8(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f164,f168]) ).
fof(f180,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( q_7(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f169,f177]) ).
fof(f181,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p_6(X0,X1,X2,X3,X4,X5,X6)
| q_5(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(resolution,[status(thm)],[f180,f107]) ).
fof(f182,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ q_6(X0,X1,X2,X3,X4,X5,X6)
| p_5(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(resolution,[status(thm)],[f180,f84]) ).
fof(f184,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( p_7(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f170,f174]) ).
fof(f188,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( q_6(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f175,f184]) ).
fof(f190,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( p_6(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f176,f180]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( q_5(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f181,f190]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p_6(X0,X1,X2,X3,X4,X5,X6)
| q_4(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(resolution,[status(thm)],[f192,f106]) ).
fof(f195,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ q_6(X0,X1,X2,X3,X4,X5,X6)
| p_4(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(resolution,[status(thm)],[f192,f82]) ).
fof(f197,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( q_4(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f193,f190]) ).
fof(f198,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( p_4(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f195,f188]) ).
fof(f199,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p_3(X0,X1,X2,X3,X4,X5,X6)
| q_2(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(resolution,[status(thm)],[f197,f101]) ).
fof(f200,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ q_3(X0,X1,X2,X3,X4,X5,X6)
| p_2(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(resolution,[status(thm)],[f197,f78]) ).
fof(f203,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( p_5(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f182,f188]) ).
fof(f205,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ q_4(X0,X1,X2,X3,X4,X5,X6)
| q_3(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(resolution,[status(thm)],[f203,f104]) ).
fof(f207,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p_4(X0,X1,X2,X3,X4,X5,X6)
| p_3(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(resolution,[status(thm)],[f203,f79]) ).
fof(f208,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( q_3(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f205,f197]) ).
fof(f209,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( p_3(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f207,f198]) ).
fof(f210,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p_2(X0,X1,X2,X3,X4,X5,X6)
| q_1(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(resolution,[status(thm)],[f208,f99]) ).
fof(f214,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( q_2(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f199,f209]) ).
fof(f215,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( p_2(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f200,f208]) ).
fof(f216,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( q_1(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f210,f215]) ).
fof(f217,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p_2(X0,X1,X2,X3,X4,X5,X6)
| q_0(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(resolution,[status(thm)],[f216,f98]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ q_2(X0,X1,X2,X3,X4,X5,X6)
| p_0(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(resolution,[status(thm)],[f216,f74]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( q_0(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f217,f215]) ).
fof(f220,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( p_0(X0,X1,X2,X3,X4,X5,X6)
| ~ nq_7(X6)
| ~ nq_6(X5)
| ~ nq_5(X4)
| ~ nq_4(X3)
| ~ nq_3(X2)
| ~ nq_2(X1)
| ~ nq_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f218,f214]) ).
fof(f221,plain,
( ~ p_0(a,a,a,a,a,a,a)
| ~ nq_7(a)
| ~ nq_6(a)
| ~ nq_5(a)
| ~ nq_4(a)
| ~ nq_3(a)
| ~ nq_2(a)
| ~ nq_1(a) ),
inference(resolution,[status(thm)],[f219,f72]) ).
fof(f222,plain,
( ~ p_0(a,a,a,a,a,a,a)
| ~ nq_7(a)
| ~ nq_6(a)
| ~ nq_5(a)
| ~ nq_4(a)
| ~ nq_3(a)
| ~ nq_2(a) ),
inference(forward_subsumption_resolution,[status(thm)],[f221,f133]) ).
fof(f223,plain,
( ~ p_0(a,a,a,a,a,a,a)
| ~ nq_7(a)
| ~ nq_6(a)
| ~ nq_5(a)
| ~ nq_4(a)
| ~ nq_3(a) ),
inference(forward_subsumption_resolution,[status(thm)],[f222,f135]) ).
fof(f224,plain,
( ~ nq_7(a)
| ~ nq_6(a)
| ~ nq_5(a)
| ~ nq_4(a)
| ~ nq_3(a)
| ~ nq_2(a)
| ~ nq_1(a)
| ~ nq_7(a)
| ~ nq_6(a)
| ~ nq_5(a)
| ~ nq_4(a)
| ~ nq_3(a) ),
inference(resolution,[status(thm)],[f223,f220]) ).
fof(f225,plain,
( ~ nq_2(a)
| ~ nq_1(a)
| ~ nq_7(a)
| ~ nq_6(a)
| ~ nq_5(a)
| ~ nq_4(a)
| ~ nq_3(a) ),
inference(duplicate_literals_removal,[status(thm)],[f224]) ).
fof(f226,plain,
( ~ nq_2(a)
| ~ nq_1(a)
| ~ nq_7(a)
| ~ nq_6(a)
| ~ nq_5(a)
| ~ nq_4(a) ),
inference(forward_subsumption_resolution,[status(thm)],[f225,f137]) ).
fof(f227,plain,
( ~ nq_2(a)
| ~ nq_1(a)
| ~ nq_7(a)
| ~ nq_6(a)
| ~ nq_5(a) ),
inference(forward_subsumption_resolution,[status(thm)],[f226,f139]) ).
fof(f228,plain,
( ~ nq_2(a)
| ~ nq_1(a)
| ~ nq_7(a)
| ~ nq_5(a) ),
inference(resolution,[status(thm)],[f227,f143]) ).
fof(f230,plain,
( ~ nq_2(a)
| ~ nq_1(a)
| ~ nq_7(a) ),
inference(forward_subsumption_resolution,[status(thm)],[f228,f141]) ).
fof(f232,plain,
( ~ nq_2(a)
| ~ nq_1(a) ),
inference(forward_subsumption_resolution,[status(thm)],[f230,f145]) ).
fof(f233,plain,
~ nq_1(a),
inference(resolution,[status(thm)],[f232,f135]) ).
fof(f234,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f233,f133]) ).
%------------------------------------------------------------------------------
%----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 -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n011.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 10:43:25 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.40 % Elapsed time: 0.039741 seconds
% 0.08/0.40 % CPU time: 0.097342 seconds
% 0.08/0.40 % Total memory used: 13.956 MB
% 0.08/0.40 % Net memory used: 13.904 MB
%------------------------------------------------------------------------------