%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN102-1.007.007 : TPTP v9.3.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 : Sun Sep 27 09:21:18 AM UTC 2026
% Result : Unsatisfiable 15.88s 2.42s
% Output : CNFRefutation 15.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 33
% Syntax : Number of clauses : 126 ( 17 unt; 0 nHn; 126 RR)
% Number of literals : 791 ( 0 equ; 682 neg)
% Maximal clause size : 15 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 33 ( 32 usr; 1 prp; 0-7 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 658 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(n_s3_goal_1,negated_conjecture,
( ~ 'q$u0'(a,a,a,a,a,a,a)
| ~ 'p$u0'(a,a,a,a,a,a,a) ) ).
cnf(n_s3_type11_1,axiom,
( ~ 'p$u2'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u1'(X0,X1,X2,X3,X4,X5,X6)
| 'p$u0'(X0,X1,X2,X3,X4,X5,X6) ) ).
cnf(n_s3_type11_3,axiom,
( ~ 'p$u3'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u2'(X0,X1,X2,X3,X4,X5,X6)
| 'p$u1'(X0,X1,X2,X3,X4,X5,X6) ) ).
cnf(n_s3_type11_6,axiom,
( ~ 'q$u4'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'q$u3'(X0,X1,X2,X3,X4,X5,X6)
| 'p$u2'(X0,X1,X2,X3,X4,X5,X6) ) ).
cnf(n_s3_type11_8,axiom,
( ~ 'q$u5'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'q$u4'(X0,X1,X2,X3,X4,X5,X6)
| 'p$u3'(X0,X1,X2,X3,X4,X5,X6) ) ).
cnf(n_s3_type11_9,axiom,
( ~ 'p$u6'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u5'(X0,X1,X2,X3,X4,X5,X6)
| 'p$u4'(X0,X1,X2,X3,X4,X5,X6) ) ).
cnf(n_s3_type11_12,axiom,
( ~ 'q$u7'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'q$u6'(X0,X1,X2,X3,X4,X5,X6)
| 'p$u5'(X0,X1,X2,X3,X4,X5,X6) ) ).
cnf(n_s3_type11_13,axiom,
( ~ 'p$u8'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u7'(X0,X1,X2,X3,X4,X5,X6)
| 'p$u6'(X0,X1,X2,X3,X4,X5,X6) ) ).
cnf(n_s3_type11_15,axiom,
( ~ 'p$u9'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u8'(X0,X1,X2,X3,X4,X5,X6)
| 'p$u7'(X0,X1,X2,X3,X4,X5,X6) ) ).
cnf(n_s3_type11_17,axiom,
( ~ 'p$u10'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u9'(X0,X1,X2,X3,X4,X5,X6)
| 'p$u8'(X0,X1,X2,X3,X4,X5,X6) ) ).
cnf(n_s3_type11_19,axiom,
( ~ 'p$u11'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u10'(X0,X1,X2,X3,X4,X5,X6)
| 'p$u9'(X0,X1,X2,X3,X4,X5,X6) ) ).
cnf(n_s3_type11_21,axiom,
( ~ 'p$u12'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u11'(X0,X1,X2,X3,X4,X5,X6)
| 'p$u10'(X0,X1,X2,X3,X4,X5,X6) ) ).
cnf(n_s3_type11_23,axiom,
( ~ 'p$u13'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u12'(X0,X1,X2,X3,X4,X5,X6)
| 'p$u11'(X0,X1,X2,X3,X4,X5,X6) ) ).
cnf(n_s3_type12_1,axiom,
( ~ 'q$u2'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u1'(X0,X1,X2,X3,X4,X5,X6)
| 'q$u0'(X0,X1,X2,X3,X4,X5,X6) ) ).
cnf(n_s3_type12_5,axiom,
( ~ 'q$u4'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u3'(X0,X1,X2,X3,X4,X5,X6)
| 'q$u2'(X0,X1,X2,X3,X4,X5,X6) ) ).
cnf(n_s3_type12_7,axiom,
( ~ 'q$u5'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u4'(X0,X1,X2,X3,X4,X5,X6)
| 'q$u3'(X0,X1,X2,X3,X4,X5,X6) ) ).
cnf(n_s3_type12_10,axiom,
( ~ 'p$u6'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'q$u5'(X0,X1,X2,X3,X4,X5,X6)
| 'q$u4'(X0,X1,X2,X3,X4,X5,X6) ) ).
cnf(n_s3_type12_11,axiom,
( ~ 'q$u7'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u6'(X0,X1,X2,X3,X4,X5,X6)
| 'q$u5'(X0,X1,X2,X3,X4,X5,X6) ) ).
cnf(n_s3_type12_14,axiom,
( ~ 'p$u8'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'q$u7'(X0,X1,X2,X3,X4,X5,X6)
| 'q$u6'(X0,X1,X2,X3,X4,X5,X6) ) ).
cnf(n_s3_type12_16,axiom,
( ~ 'p$u9'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'q$u8'(X0,X1,X2,X3,X4,X5,X6)
| 'q$u7'(X0,X1,X2,X3,X4,X5,X6) ) ).
cnf(n_s3_type12_18,axiom,
( ~ 'p$u10'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'q$u9'(X0,X1,X2,X3,X4,X5,X6)
| 'q$u8'(X0,X1,X2,X3,X4,X5,X6) ) ).
cnf(n_s3_type12_20,axiom,
( ~ 'p$u11'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'q$u10'(X0,X1,X2,X3,X4,X5,X6)
| 'q$u9'(X0,X1,X2,X3,X4,X5,X6) ) ).
cnf(n_s3_type12_21,axiom,
( ~ 'q$u12'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u11'(X0,X1,X2,X3,X4,X5,X6)
| 'q$u10'(X0,X1,X2,X3,X4,X5,X6) ) ).
cnf(n_t3_1,axiom,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u5'(X4)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u2'(X1)
| ~ 'nq$u1'(X0)
| 'p$u12'(X0,X1,X2,X3,X4,X5,X6) ) ).
cnf(n_t3_2,axiom,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u5'(X4)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u2'(X1)
| ~ 'nq$u1'(X0)
| 'p$u13'(X0,X1,X2,X3,X4,X5,X6) ) ).
cnf(n_t3_3,axiom,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u5'(X4)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u2'(X1)
| ~ 'nq$u1'(X0)
| 'q$u12'(X0,X1,X2,X3,X4,X5,X6) ) ).
cnf(n_1,axiom,
'nq$u1'(a) ).
cnf(n_3,axiom,
'nq$u2'(a) ).
cnf(n_5,axiom,
'nq$u3'(a) ).
cnf(n_7,axiom,
'nq$u4'(a) ).
cnf(n_9,axiom,
'nq$u5'(a) ).
cnf(n_11,axiom,
'nq$u6'(a) ).
cnf(n_13,axiom,
'nq$u7'(a) ).
cnf(c0,plain,
( ~ 'q$u0'(a,a,a,a,a,a,a)
| ~ 'p$u0'(a,a,a,a,a,a,a) ),
inference(clausification,[status(esa)],[n_s3_goal_1]) ).
cnf(c1,plain,
( ~ 'p$u2'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u1'(X0,X1,X2,X3,X4,X5,X6)
| 'p$u0'(X0,X1,X2,X3,X4,X5,X6) ),
inference(clausification,[status(esa)],[n_s3_type11_1]) ).
cnf(c3,plain,
( ~ 'p$u3'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u2'(X0,X1,X2,X3,X4,X5,X6)
| 'p$u1'(X0,X1,X2,X3,X4,X5,X6) ),
inference(clausification,[status(esa)],[n_s3_type11_3]) ).
cnf(c6,plain,
( ~ 'q$u4'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'q$u3'(X0,X1,X2,X3,X4,X5,X6)
| 'p$u2'(X0,X1,X2,X3,X4,X5,X6) ),
inference(clausification,[status(esa)],[n_s3_type11_6]) ).
cnf(c8,plain,
( ~ 'q$u5'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'q$u4'(X0,X1,X2,X3,X4,X5,X6)
| 'p$u3'(X0,X1,X2,X3,X4,X5,X6) ),
inference(clausification,[status(esa)],[n_s3_type11_8]) ).
cnf(c9,plain,
( ~ 'p$u6'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u5'(X0,X1,X2,X3,X4,X5,X6)
| 'p$u4'(X0,X1,X2,X3,X4,X5,X6) ),
inference(clausification,[status(esa)],[n_s3_type11_9]) ).
cnf(c12,plain,
( ~ 'q$u7'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'q$u6'(X0,X1,X2,X3,X4,X5,X6)
| 'p$u5'(X0,X1,X2,X3,X4,X5,X6) ),
inference(clausification,[status(esa)],[n_s3_type11_12]) ).
cnf(c13,plain,
( ~ 'p$u8'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u7'(X0,X1,X2,X3,X4,X5,X6)
| 'p$u6'(X0,X1,X2,X3,X4,X5,X6) ),
inference(clausification,[status(esa)],[n_s3_type11_13]) ).
cnf(c15,plain,
( ~ 'p$u9'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u8'(X0,X1,X2,X3,X4,X5,X6)
| 'p$u7'(X0,X1,X2,X3,X4,X5,X6) ),
inference(clausification,[status(esa)],[n_s3_type11_15]) ).
cnf(c17,plain,
( ~ 'p$u10'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u9'(X0,X1,X2,X3,X4,X5,X6)
| 'p$u8'(X0,X1,X2,X3,X4,X5,X6) ),
inference(clausification,[status(esa)],[n_s3_type11_17]) ).
cnf(c19,plain,
( ~ 'p$u11'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u10'(X0,X1,X2,X3,X4,X5,X6)
| 'p$u9'(X0,X1,X2,X3,X4,X5,X6) ),
inference(clausification,[status(esa)],[n_s3_type11_19]) ).
cnf(c21,plain,
( ~ 'p$u12'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u11'(X0,X1,X2,X3,X4,X5,X6)
| 'p$u10'(X0,X1,X2,X3,X4,X5,X6) ),
inference(clausification,[status(esa)],[n_s3_type11_21]) ).
cnf(c23,plain,
( ~ 'p$u13'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u12'(X0,X1,X2,X3,X4,X5,X6)
| 'p$u11'(X0,X1,X2,X3,X4,X5,X6) ),
inference(clausification,[status(esa)],[n_s3_type11_23]) ).
cnf(c25,plain,
( ~ 'q$u2'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u1'(X0,X1,X2,X3,X4,X5,X6)
| 'q$u0'(X0,X1,X2,X3,X4,X5,X6) ),
inference(clausification,[status(esa)],[n_s3_type12_1]) ).
cnf(c29,plain,
( ~ 'q$u4'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u3'(X0,X1,X2,X3,X4,X5,X6)
| 'q$u2'(X0,X1,X2,X3,X4,X5,X6) ),
inference(clausification,[status(esa)],[n_s3_type12_5]) ).
cnf(c31,plain,
( ~ 'q$u5'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u4'(X0,X1,X2,X3,X4,X5,X6)
| 'q$u3'(X0,X1,X2,X3,X4,X5,X6) ),
inference(clausification,[status(esa)],[n_s3_type12_7]) ).
cnf(c34,plain,
( ~ 'p$u6'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'q$u5'(X0,X1,X2,X3,X4,X5,X6)
| 'q$u4'(X0,X1,X2,X3,X4,X5,X6) ),
inference(clausification,[status(esa)],[n_s3_type12_10]) ).
cnf(c35,plain,
( ~ 'q$u7'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u6'(X0,X1,X2,X3,X4,X5,X6)
| 'q$u5'(X0,X1,X2,X3,X4,X5,X6) ),
inference(clausification,[status(esa)],[n_s3_type12_11]) ).
cnf(c38,plain,
( ~ 'p$u8'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'q$u7'(X0,X1,X2,X3,X4,X5,X6)
| 'q$u6'(X0,X1,X2,X3,X4,X5,X6) ),
inference(clausification,[status(esa)],[n_s3_type12_14]) ).
cnf(c40,plain,
( ~ 'p$u9'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'q$u8'(X0,X1,X2,X3,X4,X5,X6)
| 'q$u7'(X0,X1,X2,X3,X4,X5,X6) ),
inference(clausification,[status(esa)],[n_s3_type12_16]) ).
cnf(c42,plain,
( ~ 'p$u10'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'q$u9'(X0,X1,X2,X3,X4,X5,X6)
| 'q$u8'(X0,X1,X2,X3,X4,X5,X6) ),
inference(clausification,[status(esa)],[n_s3_type12_18]) ).
cnf(c44,plain,
( ~ 'p$u11'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'q$u10'(X0,X1,X2,X3,X4,X5,X6)
| 'q$u9'(X0,X1,X2,X3,X4,X5,X6) ),
inference(clausification,[status(esa)],[n_s3_type12_20]) ).
cnf(c45,plain,
( ~ 'q$u12'(X0,X1,X2,X3,X4,X5,X6)
| ~ 'p$u11'(X0,X1,X2,X3,X4,X5,X6)
| 'q$u10'(X0,X1,X2,X3,X4,X5,X6) ),
inference(clausification,[status(esa)],[n_s3_type12_21]) ).
cnf(c53,plain,
( ~ 'nq$u3'(X6)
| ~ 'nq$u2'(X5)
| 'p$u12'(X2,X5,X6,X3,X1,X4,X0)
| ~ 'nq$u6'(X4)
| ~ 'nq$u4'(X3)
| ~ 'nq$u1'(X2)
| ~ 'nq$u5'(X1)
| ~ 'nq$u7'(X0) ),
inference(clausification,[status(esa)],[n_t3_1]) ).
cnf(c54,plain,
( ~ 'nq$u6'(X6)
| ~ 'nq$u5'(X5)
| ~ 'nq$u3'(X4)
| 'p$u13'(X0,X3,X4,X2,X5,X6,X1)
| ~ 'nq$u2'(X3)
| ~ 'nq$u4'(X2)
| ~ 'nq$u7'(X1)
| ~ 'nq$u1'(X0) ),
inference(clausification,[status(esa)],[n_t3_2]) ).
cnf(c55,plain,
( ~ 'nq$u1'(X2)
| ~ 'nq$u4'(X4)
| ~ 'nq$u7'(X6)
| ~ 'nq$u3'(X3)
| ~ 'nq$u6'(X5)
| 'q$u12'(X2,X1,X3,X4,X0,X5,X6)
| ~ 'nq$u2'(X1)
| ~ 'nq$u5'(X0) ),
inference(clausification,[status(esa)],[n_t3_3]) ).
cnf(c57,plain,
'nq$u1'(a),
inference(clausification,[status(esa)],[n_1]) ).
cnf(c59,plain,
'nq$u2'(a),
inference(clausification,[status(esa)],[n_3]) ).
cnf(c61,plain,
'nq$u3'(a),
inference(clausification,[status(esa)],[n_5]) ).
cnf(c63,plain,
'nq$u4'(a),
inference(clausification,[status(esa)],[n_7]) ).
cnf(c65,plain,
'nq$u5'(a),
inference(clausification,[status(esa)],[n_9]) ).
cnf(c67,plain,
'nq$u6'(a),
inference(clausification,[status(esa)],[n_11]) ).
cnf(c69,plain,
'nq$u7'(a),
inference(clausification,[status(esa)],[n_13]) ).
cnf(d0,plain,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| ~ 'p$u12'(X0,X1,X2,X3,X4,X5,X6)
| 'p$u11'(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[status(thm)],[c23,c54]) ).
cnf(d1,plain,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| 'p$u11'(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[status(thm)],[d0,c53]) ).
cnf(d2,plain,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| ~ 'p$u11'(X0,X1,X2,X3,X4,X5,X6)
| 'q$u10'(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[status(thm)],[c45,c55]) ).
cnf(d3,plain,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| 'q$u10'(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( ~ 'q$u10'(X4,X3,X1,X2,X0,X5,X6)
| 'q$u9'(X4,X3,X1,X2,X0,X5,X6)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X4)
| ~ 'nq$u2'(X3)
| ~ 'nq$u4'(X2)
| ~ 'nq$u3'(X1)
| ~ 'nq$u5'(X0) ),
inference(resolution,[status(thm)],[d1,c44]) ).
cnf(d5,plain,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| 'q$u9'(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| ~ 'p$u11'(X0,X1,X2,X3,X4,X5,X6)
| 'p$u10'(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[status(thm)],[c21,c53]) ).
cnf(d7,plain,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X4)
| ~ 'nq$u2'(X3)
| ~ 'nq$u4'(X2)
| ~ 'nq$u3'(X1)
| ~ 'nq$u5'(X0)
| 'p$u10'(X4,X3,X1,X2,X0,X5,X6)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X4)
| ~ 'nq$u2'(X3)
| ~ 'nq$u4'(X2)
| ~ 'nq$u3'(X1)
| ~ 'nq$u5'(X0) ),
inference(resolution,[status(thm)],[d1,d6]) ).
cnf(d8,plain,
( ~ 'q$u9'(X4,X3,X1,X2,X0,X5,X6)
| 'q$u8'(X4,X3,X1,X2,X0,X5,X6)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X4)
| ~ 'nq$u2'(X3)
| ~ 'nq$u4'(X2)
| ~ 'nq$u3'(X1)
| ~ 'nq$u5'(X0) ),
inference(resolution,[status(thm)],[d7,c42]) ).
cnf(d9,plain,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| 'q$u8'(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[status(thm)],[d8,d5]) ).
cnf(d10,plain,
( ~ 'p$u10'(X4,X3,X1,X2,X0,X5,X6)
| 'p$u9'(X4,X3,X1,X2,X0,X5,X6)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X4)
| ~ 'nq$u2'(X3)
| ~ 'nq$u4'(X2)
| ~ 'nq$u3'(X1)
| ~ 'nq$u5'(X0) ),
inference(resolution,[status(thm)],[d1,c19]) ).
cnf(d11,plain,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| 'p$u9'(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[status(thm)],[d10,d7]) ).
cnf(d12,plain,
( ~ 'q$u8'(X4,X3,X1,X2,X0,X5,X6)
| 'q$u7'(X4,X3,X1,X2,X0,X5,X6)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X4)
| ~ 'nq$u2'(X3)
| ~ 'nq$u4'(X2)
| ~ 'nq$u3'(X1)
| ~ 'nq$u5'(X0) ),
inference(resolution,[status(thm)],[d11,c40]) ).
cnf(d13,plain,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| 'q$u7'(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[status(thm)],[d12,d9]) ).
cnf(d14,plain,
( ~ 'p$u9'(X4,X3,X1,X2,X0,X5,X6)
| 'p$u8'(X4,X3,X1,X2,X0,X5,X6)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X4)
| ~ 'nq$u2'(X3)
| ~ 'nq$u4'(X2)
| ~ 'nq$u3'(X1)
| ~ 'nq$u5'(X0) ),
inference(resolution,[status(thm)],[d7,c17]) ).
cnf(d15,plain,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| 'p$u8'(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[status(thm)],[d14,d11]) ).
cnf(d16,plain,
( ~ 'q$u7'(X4,X3,X1,X2,X0,X5,X6)
| 'q$u6'(X4,X3,X1,X2,X0,X5,X6)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X4)
| ~ 'nq$u2'(X3)
| ~ 'nq$u4'(X2)
| ~ 'nq$u3'(X1)
| ~ 'nq$u5'(X0) ),
inference(resolution,[status(thm)],[d15,c38]) ).
cnf(d17,plain,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| 'q$u6'(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[status(thm)],[d16,d13]) ).
cnf(d18,plain,
( ~ 'q$u6'(X4,X3,X1,X2,X0,X5,X6)
| 'p$u5'(X4,X3,X1,X2,X0,X5,X6)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X4)
| ~ 'nq$u2'(X3)
| ~ 'nq$u4'(X2)
| ~ 'nq$u3'(X1)
| ~ 'nq$u5'(X0) ),
inference(resolution,[status(thm)],[d13,c12]) ).
cnf(d19,plain,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| 'p$u5'(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[status(thm)],[d18,d17]) ).
cnf(d20,plain,
( ~ 'p$u8'(X4,X3,X1,X2,X0,X5,X6)
| 'p$u7'(X4,X3,X1,X2,X0,X5,X6)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X4)
| ~ 'nq$u2'(X3)
| ~ 'nq$u4'(X2)
| ~ 'nq$u3'(X1)
| ~ 'nq$u5'(X0) ),
inference(resolution,[status(thm)],[d11,c15]) ).
cnf(d21,plain,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| 'p$u7'(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[status(thm)],[d20,d15]) ).
cnf(d22,plain,
( ~ 'p$u7'(X4,X3,X1,X2,X0,X5,X6)
| 'p$u6'(X4,X3,X1,X2,X0,X5,X6)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X4)
| ~ 'nq$u2'(X3)
| ~ 'nq$u4'(X2)
| ~ 'nq$u3'(X1)
| ~ 'nq$u5'(X0) ),
inference(resolution,[status(thm)],[d15,c13]) ).
cnf(d23,plain,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| 'p$u6'(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[status(thm)],[d22,d21]) ).
cnf(d24,plain,
( ~ 'p$u5'(X4,X3,X1,X2,X0,X5,X6)
| 'p$u4'(X4,X3,X1,X2,X0,X5,X6)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X4)
| ~ 'nq$u2'(X3)
| ~ 'nq$u4'(X2)
| ~ 'nq$u3'(X1)
| ~ 'nq$u5'(X0) ),
inference(resolution,[status(thm)],[d23,c9]) ).
cnf(d25,plain,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| 'p$u4'(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[status(thm)],[d24,d19]) ).
cnf(d26,plain,
( ~ 'p$u6'(X4,X3,X1,X2,X0,X5,X6)
| 'q$u5'(X4,X3,X1,X2,X0,X5,X6)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X4)
| ~ 'nq$u2'(X3)
| ~ 'nq$u4'(X2)
| ~ 'nq$u3'(X1)
| ~ 'nq$u5'(X0) ),
inference(resolution,[status(thm)],[d13,c35]) ).
cnf(d27,plain,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| 'q$u5'(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[status(thm)],[d26,d23]) ).
cnf(d28,plain,
( ~ 'p$u4'(X4,X3,X1,X2,X0,X5,X6)
| 'q$u3'(X4,X3,X1,X2,X0,X5,X6)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X4)
| ~ 'nq$u2'(X3)
| ~ 'nq$u4'(X2)
| ~ 'nq$u3'(X1)
| ~ 'nq$u5'(X0) ),
inference(resolution,[status(thm)],[d27,c31]) ).
cnf(d29,plain,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| 'q$u3'(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[status(thm)],[d28,d25]) ).
cnf(d30,plain,
( ~ 'q$u5'(X4,X3,X1,X2,X0,X5,X6)
| 'q$u4'(X4,X3,X1,X2,X0,X5,X6)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X4)
| ~ 'nq$u2'(X3)
| ~ 'nq$u4'(X2)
| ~ 'nq$u3'(X1)
| ~ 'nq$u5'(X0) ),
inference(resolution,[status(thm)],[d23,c34]) ).
cnf(d31,plain,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| 'q$u4'(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[status(thm)],[d30,d27]) ).
cnf(d32,plain,
( ~ 'q$u3'(X4,X3,X1,X2,X0,X5,X6)
| 'p$u2'(X4,X3,X1,X2,X0,X5,X6)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X4)
| ~ 'nq$u2'(X3)
| ~ 'nq$u4'(X2)
| ~ 'nq$u3'(X1)
| ~ 'nq$u5'(X0) ),
inference(resolution,[status(thm)],[d31,c6]) ).
cnf(d33,plain,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| 'p$u2'(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[status(thm)],[d32,d29]) ).
cnf(d34,plain,
( ~ 'q$u4'(X4,X3,X1,X2,X0,X5,X6)
| 'p$u3'(X4,X3,X1,X2,X0,X5,X6)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X4)
| ~ 'nq$u2'(X3)
| ~ 'nq$u4'(X2)
| ~ 'nq$u3'(X1)
| ~ 'nq$u5'(X0) ),
inference(resolution,[status(thm)],[d27,c8]) ).
cnf(d35,plain,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| 'p$u3'(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[status(thm)],[d34,d31]) ).
cnf(d36,plain,
( ~ 'p$u2'(X4,X3,X1,X2,X0,X5,X6)
| 'p$u1'(X4,X3,X1,X2,X0,X5,X6)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X4)
| ~ 'nq$u2'(X3)
| ~ 'nq$u4'(X2)
| ~ 'nq$u3'(X1)
| ~ 'nq$u5'(X0) ),
inference(resolution,[status(thm)],[d35,c3]) ).
cnf(d37,plain,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| 'p$u1'(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[status(thm)],[d36,d33]) ).
cnf(d38,plain,
( ~ 'p$u3'(X4,X3,X1,X2,X0,X5,X6)
| 'q$u2'(X4,X3,X1,X2,X0,X5,X6)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X4)
| ~ 'nq$u2'(X3)
| ~ 'nq$u4'(X2)
| ~ 'nq$u3'(X1)
| ~ 'nq$u5'(X0) ),
inference(resolution,[status(thm)],[d31,c29]) ).
cnf(d39,plain,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| 'q$u2'(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[status(thm)],[d38,d35]) ).
cnf(d40,plain,
( ~ 'p$u1'(X4,X3,X1,X2,X0,X5,X6)
| 'q$u0'(X4,X3,X1,X2,X0,X5,X6)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X4)
| ~ 'nq$u2'(X3)
| ~ 'nq$u4'(X2)
| ~ 'nq$u3'(X1)
| ~ 'nq$u5'(X0) ),
inference(resolution,[status(thm)],[d39,c25]) ).
cnf(d41,plain,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| 'q$u0'(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[status(thm)],[d40,d37]) ).
cnf(d42,plain,
( ~ 'p$u1'(X4,X3,X1,X2,X0,X5,X6)
| 'p$u0'(X4,X3,X1,X2,X0,X5,X6)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X4)
| ~ 'nq$u2'(X3)
| ~ 'nq$u4'(X2)
| ~ 'nq$u3'(X1)
| ~ 'nq$u5'(X0) ),
inference(resolution,[status(thm)],[d33,c1]) ).
cnf(d43,plain,
( ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| ~ 'nq$u7'(X6)
| ~ 'nq$u6'(X5)
| ~ 'nq$u1'(X0)
| ~ 'nq$u2'(X1)
| ~ 'nq$u4'(X3)
| ~ 'nq$u3'(X2)
| ~ 'nq$u5'(X4)
| 'p$u0'(X0,X1,X2,X3,X4,X5,X6) ),
inference(resolution,[status(thm)],[d42,d37]) ).
cnf(d44,plain,
( ~ 'q$u0'(a,a,a,a,a,a,a)
| ~ 'nq$u7'(a)
| ~ 'nq$u6'(a)
| ~ 'nq$u1'(a)
| ~ 'nq$u2'(a)
| ~ 'nq$u4'(a)
| ~ 'nq$u3'(a)
| ~ 'nq$u5'(a) ),
inference(resolution,[status(thm)],[d43,c0]) ).
cnf(d45,plain,
( ~ 'nq$u7'(a)
| ~ 'nq$u6'(a)
| ~ 'nq$u2'(a)
| ~ 'nq$u4'(a)
| ~ 'nq$u3'(a)
| ~ 'nq$u5'(a)
| ~ 'q$u0'(a,a,a,a,a,a,a) ),
inference(resolution,[status(thm)],[c57,d44]) ).
cnf(d46,plain,
( ~ 'nq$u7'(a)
| ~ 'nq$u6'(a)
| ~ 'nq$u4'(a)
| ~ 'nq$u3'(a)
| ~ 'nq$u5'(a)
| ~ 'q$u0'(a,a,a,a,a,a,a) ),
inference(resolution,[status(thm)],[c59,d45]) ).
cnf(d47,plain,
( ~ 'nq$u7'(a)
| ~ 'nq$u6'(a)
| ~ 'nq$u4'(a)
| ~ 'nq$u5'(a)
| ~ 'q$u0'(a,a,a,a,a,a,a) ),
inference(resolution,[status(thm)],[c61,d46]) ).
cnf(d48,plain,
( ~ 'nq$u7'(a)
| ~ 'nq$u6'(a)
| ~ 'nq$u5'(a)
| ~ 'q$u0'(a,a,a,a,a,a,a) ),
inference(resolution,[status(thm)],[c63,d47]) ).
cnf(d49,plain,
( ~ 'nq$u7'(a)
| ~ 'nq$u6'(a)
| ~ 'q$u0'(a,a,a,a,a,a,a) ),
inference(resolution,[status(thm)],[c65,d48]) ).
cnf(d50,plain,
( ~ 'nq$u7'(a)
| ~ 'q$u0'(a,a,a,a,a,a,a) ),
inference(resolution,[status(thm)],[c67,d49]) ).
cnf(d51,plain,
~ 'q$u0'(a,a,a,a,a,a,a),
inference(resolution,[status(thm)],[c69,d50]) ).
cnf(d52,plain,
( ~ 'nq$u7'(a)
| ~ 'nq$u6'(a)
| ~ 'nq$u1'(a)
| ~ 'nq$u2'(a)
| ~ 'nq$u4'(a)
| ~ 'nq$u3'(a)
| ~ 'nq$u5'(a) ),
inference(resolution,[status(thm)],[d51,d41]) ).
cnf(d53,plain,
( ~ 'nq$u7'(a)
| ~ 'nq$u6'(a)
| ~ 'nq$u2'(a)
| ~ 'nq$u4'(a)
| ~ 'nq$u3'(a)
| ~ 'nq$u5'(a) ),
inference(resolution,[status(thm)],[c57,d52]) ).
cnf(d54,plain,
( ~ 'nq$u7'(a)
| ~ 'nq$u6'(a)
| ~ 'nq$u4'(a)
| ~ 'nq$u3'(a)
| ~ 'nq$u5'(a) ),
inference(resolution,[status(thm)],[c59,d53]) ).
cnf(d55,plain,
( ~ 'nq$u7'(a)
| ~ 'nq$u6'(a)
| ~ 'nq$u4'(a)
| ~ 'nq$u5'(a) ),
inference(resolution,[status(thm)],[c61,d54]) ).
cnf(d56,plain,
( ~ 'nq$u7'(a)
| ~ 'nq$u6'(a)
| ~ 'nq$u5'(a) ),
inference(resolution,[status(thm)],[c63,d55]) ).
cnf(d57,plain,
( ~ 'nq$u7'(a)
| ~ 'nq$u6'(a) ),
inference(resolution,[status(thm)],[c65,d56]) ).
cnf(d58,plain,
~ 'nq$u7'(a),
inference(resolution,[status(thm)],[c67,d57]) ).
cnf(d59,plain,
$false,
inference(resolution,[status(thm)],[c69,d58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN102-1.007.007 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 17:14:59 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.88/2.42 % SZS status Unsatisfiable for theBenchmark.p
% 15.88/2.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------