%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN102-1.007.007 : TPTP v9.3.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 03:32:32 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.43s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 32
% Syntax : Number of clauses : 116 ( 16 unt; 0 nHn; 116 RR)
% Number of literals : 420 ( 0 equ; 315 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 31 ( 30 usr; 1 prp; 0-7 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 630 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(n_s3_goal_1,negated_conjecture,
( ~ q_0(a,a,a,a,a,a,a)
| ~ p_0(a,a,a,a,a,a,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_goal_1) ).
cnf(n_s3_type12_1,axiom,
( ~ q_2(X1,X2,X3,X4,X5,X6,X7)
| ~ p_1(X1,X2,X3,X4,X5,X6,X7)
| q_0(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_1) ).
cnf(n_s3_type11_1,axiom,
( ~ p_2(X1,X2,X3,X4,X5,X6,X7)
| ~ p_1(X1,X2,X3,X4,X5,X6,X7)
| p_0(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_1) ).
cnf(n_s3_type12_10,axiom,
( ~ p_6(X1,X2,X3,X4,X5,X6,X7)
| ~ q_5(X1,X2,X3,X4,X5,X6,X7)
| q_4(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_10) ).
cnf(n_s3_type12_11,axiom,
( ~ q_7(X1,X2,X3,X4,X5,X6,X7)
| ~ p_6(X1,X2,X3,X4,X5,X6,X7)
| q_5(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_11) ).
cnf(n_s3_type12_21,axiom,
( ~ q_12(X1,X2,X3,X4,X5,X6,X7)
| ~ p_11(X1,X2,X3,X4,X5,X6,X7)
| q_10(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_21) ).
cnf(n_t3_3,axiom,
( ~ nq_7(X7)
| ~ nq_6(X6)
| ~ nq_5(X5)
| ~ nq_4(X4)
| ~ nq_3(X3)
| ~ nq_2(X2)
| ~ nq_1(X1)
| q_12(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_t3_3) ).
cnf(n_s3_type11_23,axiom,
( ~ p_13(X1,X2,X3,X4,X5,X6,X7)
| ~ p_12(X1,X2,X3,X4,X5,X6,X7)
| p_11(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_23) ).
cnf(n_t3_2,axiom,
( ~ nq_7(X7)
| ~ nq_6(X6)
| ~ nq_5(X5)
| ~ nq_4(X4)
| ~ nq_3(X3)
| ~ nq_2(X2)
| ~ nq_1(X1)
| p_13(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_t3_2) ).
cnf(n_t3_1,axiom,
( ~ nq_7(X7)
| ~ nq_6(X6)
| ~ nq_5(X5)
| ~ nq_4(X4)
| ~ nq_3(X3)
| ~ nq_2(X2)
| ~ nq_1(X1)
| p_12(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_t3_1) ).
cnf(n_s3_type11_3,axiom,
( ~ p_3(X1,X2,X3,X4,X5,X6,X7)
| ~ p_2(X1,X2,X3,X4,X5,X6,X7)
| p_1(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_3) ).
cnf(n_s3_type11_8,axiom,
( ~ q_5(X1,X2,X3,X4,X5,X6,X7)
| ~ q_4(X1,X2,X3,X4,X5,X6,X7)
| p_3(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_8) ).
cnf(n_s3_type11_9,axiom,
( ~ p_6(X1,X2,X3,X4,X5,X6,X7)
| ~ p_5(X1,X2,X3,X4,X5,X6,X7)
| p_4(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_9) ).
cnf(n_s3_type11_11,axiom,
( ~ p_7(X1,X2,X3,X4,X5,X6,X7)
| ~ p_6(X1,X2,X3,X4,X5,X6,X7)
| p_5(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_11) ).
cnf(n_s3_type11_21,axiom,
( ~ p_12(X1,X2,X3,X4,X5,X6,X7)
| ~ p_11(X1,X2,X3,X4,X5,X6,X7)
| p_10(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_21) ).
cnf(n_s3_type12_5,axiom,
( ~ q_4(X1,X2,X3,X4,X5,X6,X7)
| ~ p_3(X1,X2,X3,X4,X5,X6,X7)
| q_2(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_5) ).
cnf(n_s3_type11_7,axiom,
( ~ p_5(X1,X2,X3,X4,X5,X6,X7)
| ~ p_4(X1,X2,X3,X4,X5,X6,X7)
| p_3(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_7) ).
cnf(n_s3_type12_20,axiom,
( ~ p_11(X1,X2,X3,X4,X5,X6,X7)
| ~ q_10(X1,X2,X3,X4,X5,X6,X7)
| q_9(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_20) ).
cnf(n_s3_type11_5,axiom,
( ~ p_4(X1,X2,X3,X4,X5,X6,X7)
| ~ p_3(X1,X2,X3,X4,X5,X6,X7)
| p_2(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_5) ).
cnf(n_s3_type11_19,axiom,
( ~ p_11(X1,X2,X3,X4,X5,X6,X7)
| ~ p_10(X1,X2,X3,X4,X5,X6,X7)
| p_9(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_19) ).
cnf(n_s3_type12_18,axiom,
( ~ p_10(X1,X2,X3,X4,X5,X6,X7)
| ~ q_9(X1,X2,X3,X4,X5,X6,X7)
| q_8(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_18) ).
cnf(n_s3_type12_16,axiom,
( ~ p_9(X1,X2,X3,X4,X5,X6,X7)
| ~ q_8(X1,X2,X3,X4,X5,X6,X7)
| q_7(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_16) ).
cnf(n_s3_type11_17,axiom,
( ~ p_10(X1,X2,X3,X4,X5,X6,X7)
| ~ p_9(X1,X2,X3,X4,X5,X6,X7)
| p_8(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_17) ).
cnf(n_s3_type11_15,axiom,
( ~ p_9(X1,X2,X3,X4,X5,X6,X7)
| ~ p_8(X1,X2,X3,X4,X5,X6,X7)
| p_7(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_15) ).
cnf(n_13,axiom,
nq_7(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_13) ).
cnf(n_11,axiom,
nq_6(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_11) ).
cnf(n_9,axiom,
nq_5(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_9) ).
cnf(n_7,axiom,
nq_4(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_7) ).
cnf(n_5,axiom,
nq_3(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_5) ).
cnf(n_3,axiom,
nq_2(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_3) ).
cnf(n_1,axiom,
nq_1(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_1) ).
cnf(n_s3_type11_13,axiom,
( ~ p_8(X1,X2,X3,X4,X5,X6,X7)
| ~ p_7(X1,X2,X3,X4,X5,X6,X7)
| p_6(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_13) ).
cnf(c_0_32,negated_conjecture,
( ~ q_0(a,a,a,a,a,a,a)
| ~ p_0(a,a,a,a,a,a,a) ),
inference(fof_simplification,[status(thm)],[n_s3_goal_1]) ).
cnf(c_0_33,plain,
( ~ q_2(X1,X2,X3,X4,X5,X6,X7)
| ~ p_1(X1,X2,X3,X4,X5,X6,X7)
| q_0(X1,X2,X3,X4,X5,X6,X7) ),
inference(fof_simplification,[status(thm)],[n_s3_type12_1]) ).
cnf(c_0_34,negated_conjecture,
( ~ q_0(a,a,a,a,a,a,a)
| ~ p_0(a,a,a,a,a,a,a) ),
c_0_32 ).
cnf(c_0_35,plain,
( ~ q_2(X1,X2,X3,X4,X5,X6,X7)
| ~ p_1(X1,X2,X3,X4,X5,X6,X7)
| q_0(X1,X2,X3,X4,X5,X6,X7) ),
c_0_33 ).
cnf(c_0_36,plain,
( ~ p_2(X1,X2,X3,X4,X5,X6,X7)
| ~ p_1(X1,X2,X3,X4,X5,X6,X7)
| p_0(X1,X2,X3,X4,X5,X6,X7) ),
inference(fof_simplification,[status(thm)],[n_s3_type11_1]) ).
cnf(c_0_37,plain,
( ~ p_6(X1,X2,X3,X4,X5,X6,X7)
| ~ q_5(X1,X2,X3,X4,X5,X6,X7)
| q_4(X1,X2,X3,X4,X5,X6,X7) ),
inference(fof_simplification,[status(thm)],[n_s3_type12_10]) ).
cnf(c_0_38,plain,
( ~ q_7(X1,X2,X3,X4,X5,X6,X7)
| ~ p_6(X1,X2,X3,X4,X5,X6,X7)
| q_5(X1,X2,X3,X4,X5,X6,X7) ),
inference(fof_simplification,[status(thm)],[n_s3_type12_11]) ).
cnf(c_0_39,plain,
( ~ q_12(X1,X2,X3,X4,X5,X6,X7)
| ~ p_11(X1,X2,X3,X4,X5,X6,X7)
| q_10(X1,X2,X3,X4,X5,X6,X7) ),
inference(fof_simplification,[status(thm)],[n_s3_type12_21]) ).
cnf(c_0_40,plain,
( ~ nq_7(X7)
| ~ nq_6(X6)
| ~ nq_5(X5)
| ~ nq_4(X4)
| ~ nq_3(X3)
| ~ nq_2(X2)
| ~ nq_1(X1)
| q_12(X1,X2,X3,X4,X5,X6,X7) ),
inference(fof_simplification,[status(thm)],[n_t3_3]) ).
cnf(c_0_41,plain,
( ~ p_13(X1,X2,X3,X4,X5,X6,X7)
| ~ p_12(X1,X2,X3,X4,X5,X6,X7)
| p_11(X1,X2,X3,X4,X5,X6,X7) ),
inference(fof_simplification,[status(thm)],[n_s3_type11_23]) ).
cnf(c_0_42,plain,
( ~ nq_7(X7)
| ~ nq_6(X6)
| ~ nq_5(X5)
| ~ nq_4(X4)
| ~ nq_3(X3)
| ~ nq_2(X2)
| ~ nq_1(X1)
| p_13(X1,X2,X3,X4,X5,X6,X7) ),
inference(fof_simplification,[status(thm)],[n_t3_2]) ).
cnf(c_0_43,plain,
( ~ nq_7(X7)
| ~ nq_6(X6)
| ~ nq_5(X5)
| ~ nq_4(X4)
| ~ nq_3(X3)
| ~ nq_2(X2)
| ~ nq_1(X1)
| p_12(X1,X2,X3,X4,X5,X6,X7) ),
inference(fof_simplification,[status(thm)],[n_t3_1]) ).
cnf(c_0_44,negated_conjecture,
( ~ p_0(a,a,a,a,a,a,a)
| ~ p_1(a,a,a,a,a,a,a)
| ~ q_2(a,a,a,a,a,a,a) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_45,plain,
( ~ p_2(X1,X2,X3,X4,X5,X6,X7)
| ~ p_1(X1,X2,X3,X4,X5,X6,X7)
| p_0(X1,X2,X3,X4,X5,X6,X7) ),
c_0_36 ).
cnf(c_0_46,plain,
( ~ p_3(X1,X2,X3,X4,X5,X6,X7)
| ~ p_2(X1,X2,X3,X4,X5,X6,X7)
| p_1(X1,X2,X3,X4,X5,X6,X7) ),
inference(fof_simplification,[status(thm)],[n_s3_type11_3]) ).
cnf(c_0_47,plain,
( ~ q_5(X1,X2,X3,X4,X5,X6,X7)
| ~ q_4(X1,X2,X3,X4,X5,X6,X7)
| p_3(X1,X2,X3,X4,X5,X6,X7) ),
inference(fof_simplification,[status(thm)],[n_s3_type11_8]) ).
cnf(c_0_48,plain,
( ~ p_6(X1,X2,X3,X4,X5,X6,X7)
| ~ q_5(X1,X2,X3,X4,X5,X6,X7)
| q_4(X1,X2,X3,X4,X5,X6,X7) ),
c_0_37 ).
cnf(c_0_49,plain,
( ~ q_7(X1,X2,X3,X4,X5,X6,X7)
| ~ p_6(X1,X2,X3,X4,X5,X6,X7)
| q_5(X1,X2,X3,X4,X5,X6,X7) ),
c_0_38 ).
cnf(c_0_50,plain,
( ~ p_6(X1,X2,X3,X4,X5,X6,X7)
| ~ p_5(X1,X2,X3,X4,X5,X6,X7)
| p_4(X1,X2,X3,X4,X5,X6,X7) ),
inference(fof_simplification,[status(thm)],[n_s3_type11_9]) ).
cnf(c_0_51,plain,
( ~ p_7(X1,X2,X3,X4,X5,X6,X7)
| ~ p_6(X1,X2,X3,X4,X5,X6,X7)
| p_5(X1,X2,X3,X4,X5,X6,X7) ),
inference(fof_simplification,[status(thm)],[n_s3_type11_11]) ).
cnf(c_0_52,plain,
( ~ p_12(X1,X2,X3,X4,X5,X6,X7)
| ~ p_11(X1,X2,X3,X4,X5,X6,X7)
| p_10(X1,X2,X3,X4,X5,X6,X7) ),
inference(fof_simplification,[status(thm)],[n_s3_type11_21]) ).
cnf(c_0_53,plain,
( ~ q_12(X1,X2,X3,X4,X5,X6,X7)
| ~ p_11(X1,X2,X3,X4,X5,X6,X7)
| q_10(X1,X2,X3,X4,X5,X6,X7) ),
c_0_39 ).
cnf(c_0_54,plain,
( ~ nq_7(X7)
| ~ nq_6(X6)
| ~ nq_5(X5)
| ~ nq_4(X4)
| ~ nq_3(X3)
| ~ nq_2(X2)
| ~ nq_1(X1)
| q_12(X1,X2,X3,X4,X5,X6,X7) ),
c_0_40 ).
cnf(c_0_55,plain,
( ~ p_13(X1,X2,X3,X4,X5,X6,X7)
| ~ p_12(X1,X2,X3,X4,X5,X6,X7)
| p_11(X1,X2,X3,X4,X5,X6,X7) ),
c_0_41 ).
cnf(c_0_56,plain,
( ~ nq_7(X7)
| ~ nq_6(X6)
| ~ nq_5(X5)
| ~ nq_4(X4)
| ~ nq_3(X3)
| ~ nq_2(X2)
| ~ nq_1(X1)
| p_13(X1,X2,X3,X4,X5,X6,X7) ),
c_0_42 ).
cnf(c_0_57,plain,
( ~ nq_7(X7)
| ~ nq_6(X6)
| ~ nq_5(X5)
| ~ nq_4(X4)
| ~ nq_3(X3)
| ~ nq_2(X2)
| ~ nq_1(X1)
| p_12(X1,X2,X3,X4,X5,X6,X7) ),
c_0_43 ).
cnf(c_0_58,negated_conjecture,
( ~ p_1(a,a,a,a,a,a,a)
| ~ p_2(a,a,a,a,a,a,a)
| ~ q_2(a,a,a,a,a,a,a) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_59,plain,
( ~ p_3(X1,X2,X3,X4,X5,X6,X7)
| ~ p_2(X1,X2,X3,X4,X5,X6,X7)
| p_1(X1,X2,X3,X4,X5,X6,X7) ),
c_0_46 ).
cnf(c_0_60,plain,
( ~ q_5(X1,X2,X3,X4,X5,X6,X7)
| ~ q_4(X1,X2,X3,X4,X5,X6,X7)
| p_3(X1,X2,X3,X4,X5,X6,X7) ),
c_0_47 ).
cnf(c_0_61,plain,
( ~ p_6(X1,X2,X3,X4,X5,X6,X7)
| ~ q_7(X1,X2,X3,X4,X5,X6,X7)
| q_4(X1,X2,X3,X4,X5,X6,X7) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_62,plain,
( ~ q_4(X1,X2,X3,X4,X5,X6,X7)
| ~ p_3(X1,X2,X3,X4,X5,X6,X7)
| q_2(X1,X2,X3,X4,X5,X6,X7) ),
inference(fof_simplification,[status(thm)],[n_s3_type12_5]) ).
cnf(c_0_63,plain,
( ~ p_5(X1,X2,X3,X4,X5,X6,X7)
| ~ p_4(X1,X2,X3,X4,X5,X6,X7)
| p_3(X1,X2,X3,X4,X5,X6,X7) ),
inference(fof_simplification,[status(thm)],[n_s3_type11_7]) ).
cnf(c_0_64,plain,
( ~ p_6(X1,X2,X3,X4,X5,X6,X7)
| ~ p_5(X1,X2,X3,X4,X5,X6,X7)
| p_4(X1,X2,X3,X4,X5,X6,X7) ),
c_0_50 ).
cnf(c_0_65,plain,
( ~ p_7(X1,X2,X3,X4,X5,X6,X7)
| ~ p_6(X1,X2,X3,X4,X5,X6,X7)
| p_5(X1,X2,X3,X4,X5,X6,X7) ),
c_0_51 ).
cnf(c_0_66,plain,
( ~ p_12(X1,X2,X3,X4,X5,X6,X7)
| ~ p_11(X1,X2,X3,X4,X5,X6,X7)
| p_10(X1,X2,X3,X4,X5,X6,X7) ),
c_0_52 ).
cnf(c_0_67,plain,
( ~ p_11(X1,X2,X3,X4,X5,X6,X7)
| ~ q_10(X1,X2,X3,X4,X5,X6,X7)
| q_9(X1,X2,X3,X4,X5,X6,X7) ),
inference(fof_simplification,[status(thm)],[n_s3_type12_20]) ).
cnf(c_0_68,plain,
( ~ p_11(X1,X2,X3,X4,X5,X6,X7)
| ~ nq_1(X1)
| ~ nq_2(X2)
| ~ nq_3(X3)
| ~ nq_4(X4)
| ~ nq_5(X5)
| ~ nq_6(X6)
| ~ nq_7(X7)
| q_10(X1,X2,X3,X4,X5,X6,X7) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_69,plain,
( ~ nq_1(X1)
| ~ nq_2(X2)
| ~ nq_3(X3)
| ~ nq_4(X4)
| ~ nq_5(X5)
| ~ nq_6(X6)
| ~ nq_7(X7)
| p_11(X1,X2,X3,X4,X5,X6,X7) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
cnf(c_0_70,negated_conjecture,
( ~ p_2(a,a,a,a,a,a,a)
| ~ q_2(a,a,a,a,a,a,a)
| ~ p_3(a,a,a,a,a,a,a) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_71,plain,
( ~ p_6(X1,X2,X3,X4,X5,X6,X7)
| ~ q_7(X1,X2,X3,X4,X5,X6,X7)
| p_3(X1,X2,X3,X4,X5,X6,X7) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_49]),c_0_61]) ).
cnf(c_0_72,plain,
( ~ q_4(X1,X2,X3,X4,X5,X6,X7)
| ~ p_3(X1,X2,X3,X4,X5,X6,X7)
| q_2(X1,X2,X3,X4,X5,X6,X7) ),
c_0_62 ).
cnf(c_0_73,plain,
( ~ p_4(X1,X2,X3,X4,X5,X6,X7)
| ~ p_3(X1,X2,X3,X4,X5,X6,X7)
| p_2(X1,X2,X3,X4,X5,X6,X7) ),
inference(fof_simplification,[status(thm)],[n_s3_type11_5]) ).
cnf(c_0_74,plain,
( ~ p_5(X1,X2,X3,X4,X5,X6,X7)
| ~ p_4(X1,X2,X3,X4,X5,X6,X7)
| p_3(X1,X2,X3,X4,X5,X6,X7) ),
c_0_63 ).
cnf(c_0_75,plain,
( ~ p_6(X1,X2,X3,X4,X5,X6,X7)
| ~ p_7(X1,X2,X3,X4,X5,X6,X7)
| p_4(X1,X2,X3,X4,X5,X6,X7) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_76,plain,
( ~ p_11(X1,X2,X3,X4,X5,X6,X7)
| ~ p_10(X1,X2,X3,X4,X5,X6,X7)
| p_9(X1,X2,X3,X4,X5,X6,X7) ),
inference(fof_simplification,[status(thm)],[n_s3_type11_19]) ).
cnf(c_0_77,plain,
( ~ p_11(X1,X2,X3,X4,X5,X6,X7)
| ~ nq_1(X1)
| ~ nq_2(X2)
| ~ nq_3(X3)
| ~ nq_4(X4)
| ~ nq_5(X5)
| ~ nq_6(X6)
| ~ nq_7(X7)
| p_10(X1,X2,X3,X4,X5,X6,X7) ),
inference(spm,[status(thm)],[c_0_66,c_0_57]) ).
cnf(c_0_78,plain,
( ~ p_10(X1,X2,X3,X4,X5,X6,X7)
| ~ q_9(X1,X2,X3,X4,X5,X6,X7)
| q_8(X1,X2,X3,X4,X5,X6,X7) ),
inference(fof_simplification,[status(thm)],[n_s3_type12_18]) ).
cnf(c_0_79,plain,
( ~ p_11(X1,X2,X3,X4,X5,X6,X7)
| ~ q_10(X1,X2,X3,X4,X5,X6,X7)
| q_9(X1,X2,X3,X4,X5,X6,X7) ),
c_0_67 ).
cnf(c_0_80,plain,
( ~ nq_1(X1)
| ~ nq_2(X2)
| ~ nq_3(X3)
| ~ nq_4(X4)
| ~ nq_5(X5)
| ~ nq_6(X6)
| ~ nq_7(X7)
| q_10(X1,X2,X3,X4,X5,X6,X7) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_81,negated_conjecture,
( ~ p_2(a,a,a,a,a,a,a)
| ~ q_2(a,a,a,a,a,a,a)
| ~ p_6(a,a,a,a,a,a,a)
| ~ q_7(a,a,a,a,a,a,a) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_82,plain,
( ~ p_6(X1,X2,X3,X4,X5,X6,X7)
| ~ q_7(X1,X2,X3,X4,X5,X6,X7)
| q_2(X1,X2,X3,X4,X5,X6,X7) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_61]),c_0_71]) ).
cnf(c_0_83,plain,
( ~ p_4(X1,X2,X3,X4,X5,X6,X7)
| ~ p_3(X1,X2,X3,X4,X5,X6,X7)
| p_2(X1,X2,X3,X4,X5,X6,X7) ),
c_0_73 ).
cnf(c_0_84,plain,
( ~ p_6(X1,X2,X3,X4,X5,X6,X7)
| ~ p_7(X1,X2,X3,X4,X5,X6,X7)
| p_3(X1,X2,X3,X4,X5,X6,X7) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_65]),c_0_75]) ).
cnf(c_0_85,plain,
( ~ p_9(X1,X2,X3,X4,X5,X6,X7)
| ~ q_8(X1,X2,X3,X4,X5,X6,X7)
| q_7(X1,X2,X3,X4,X5,X6,X7) ),
inference(fof_simplification,[status(thm)],[n_s3_type12_16]) ).
cnf(c_0_86,plain,
( ~ p_11(X1,X2,X3,X4,X5,X6,X7)
| ~ p_10(X1,X2,X3,X4,X5,X6,X7)
| p_9(X1,X2,X3,X4,X5,X6,X7) ),
c_0_76 ).
cnf(c_0_87,plain,
( ~ nq_1(X1)
| ~ nq_2(X2)
| ~ nq_3(X3)
| ~ nq_4(X4)
| ~ nq_5(X5)
| ~ nq_6(X6)
| ~ nq_7(X7)
| p_10(X1,X2,X3,X4,X5,X6,X7) ),
inference(spm,[status(thm)],[c_0_77,c_0_69]) ).
cnf(c_0_88,plain,
( ~ p_10(X1,X2,X3,X4,X5,X6,X7)
| ~ q_9(X1,X2,X3,X4,X5,X6,X7)
| q_8(X1,X2,X3,X4,X5,X6,X7) ),
c_0_78 ).
cnf(c_0_89,plain,
( ~ nq_1(X1)
| ~ nq_2(X2)
| ~ nq_3(X3)
| ~ nq_4(X4)
| ~ nq_5(X5)
| ~ nq_6(X6)
| ~ nq_7(X7)
| q_9(X1,X2,X3,X4,X5,X6,X7) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_69]),c_0_80]) ).
cnf(c_0_90,plain,
( ~ p_10(X1,X2,X3,X4,X5,X6,X7)
| ~ p_9(X1,X2,X3,X4,X5,X6,X7)
| p_8(X1,X2,X3,X4,X5,X6,X7) ),
inference(fof_simplification,[status(thm)],[n_s3_type11_17]) ).
cnf(c_0_91,negated_conjecture,
( ~ p_2(a,a,a,a,a,a,a)
| ~ p_6(a,a,a,a,a,a,a)
| ~ q_7(a,a,a,a,a,a,a) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_92,plain,
( ~ p_6(X1,X2,X3,X4,X5,X6,X7)
| ~ p_7(X1,X2,X3,X4,X5,X6,X7)
| p_2(X1,X2,X3,X4,X5,X6,X7) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_75]),c_0_84]) ).
cnf(c_0_93,plain,
( ~ p_9(X1,X2,X3,X4,X5,X6,X7)
| ~ q_8(X1,X2,X3,X4,X5,X6,X7)
| q_7(X1,X2,X3,X4,X5,X6,X7) ),
c_0_85 ).
cnf(c_0_94,plain,
( ~ nq_1(X1)
| ~ nq_2(X2)
| ~ nq_3(X3)
| ~ nq_4(X4)
| ~ nq_5(X5)
| ~ nq_6(X6)
| ~ nq_7(X7)
| p_9(X1,X2,X3,X4,X5,X6,X7) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_69]),c_0_87]) ).
cnf(c_0_95,plain,
( ~ nq_1(X1)
| ~ nq_2(X2)
| ~ nq_3(X3)
| ~ nq_4(X4)
| ~ nq_5(X5)
| ~ nq_6(X6)
| ~ nq_7(X7)
| q_8(X1,X2,X3,X4,X5,X6,X7) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_87]),c_0_89]) ).
cnf(c_0_96,plain,
( ~ p_9(X1,X2,X3,X4,X5,X6,X7)
| ~ p_8(X1,X2,X3,X4,X5,X6,X7)
| p_7(X1,X2,X3,X4,X5,X6,X7) ),
inference(fof_simplification,[status(thm)],[n_s3_type11_15]) ).
cnf(c_0_97,plain,
( ~ p_10(X1,X2,X3,X4,X5,X6,X7)
| ~ p_9(X1,X2,X3,X4,X5,X6,X7)
| p_8(X1,X2,X3,X4,X5,X6,X7) ),
c_0_90 ).
cnf(c_0_98,negated_conjecture,
( ~ p_6(a,a,a,a,a,a,a)
| ~ p_7(a,a,a,a,a,a,a)
| ~ q_7(a,a,a,a,a,a,a) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_99,plain,
( ~ nq_1(X1)
| ~ nq_2(X2)
| ~ nq_3(X3)
| ~ nq_4(X4)
| ~ nq_5(X5)
| ~ nq_6(X6)
| ~ nq_7(X7)
| q_7(X1,X2,X3,X4,X5,X6,X7) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]) ).
cnf(c_0_100,axiom,
nq_7(a),
n_13 ).
cnf(c_0_101,axiom,
nq_6(a),
n_11 ).
cnf(c_0_102,axiom,
nq_5(a),
n_9 ).
cnf(c_0_103,axiom,
nq_4(a),
n_7 ).
cnf(c_0_104,axiom,
nq_3(a),
n_5 ).
cnf(c_0_105,axiom,
nq_2(a),
n_3 ).
cnf(c_0_106,axiom,
nq_1(a),
n_1 ).
cnf(c_0_107,plain,
( ~ p_9(X1,X2,X3,X4,X5,X6,X7)
| ~ p_8(X1,X2,X3,X4,X5,X6,X7)
| p_7(X1,X2,X3,X4,X5,X6,X7) ),
c_0_96 ).
cnf(c_0_108,plain,
( ~ nq_1(X1)
| ~ nq_2(X2)
| ~ nq_3(X3)
| ~ nq_4(X4)
| ~ nq_5(X5)
| ~ nq_6(X6)
| ~ nq_7(X7)
| p_8(X1,X2,X3,X4,X5,X6,X7) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_87]),c_0_94]) ).
cnf(c_0_109,plain,
( ~ p_8(X1,X2,X3,X4,X5,X6,X7)
| ~ p_7(X1,X2,X3,X4,X5,X6,X7)
| p_6(X1,X2,X3,X4,X5,X6,X7) ),
inference(fof_simplification,[status(thm)],[n_s3_type11_13]) ).
cnf(c_0_110,negated_conjecture,
( ~ p_6(a,a,a,a,a,a,a)
| ~ p_7(a,a,a,a,a,a,a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]),c_0_101]),c_0_102]),c_0_103]),c_0_104]),c_0_105]),c_0_106])]) ).
cnf(c_0_111,plain,
( ~ nq_1(X1)
| ~ nq_2(X2)
| ~ nq_3(X3)
| ~ nq_4(X4)
| ~ nq_5(X5)
| ~ nq_6(X6)
| ~ nq_7(X7)
| p_7(X1,X2,X3,X4,X5,X6,X7) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_94]),c_0_108]) ).
cnf(c_0_112,plain,
( ~ p_8(X1,X2,X3,X4,X5,X6,X7)
| ~ p_7(X1,X2,X3,X4,X5,X6,X7)
| p_6(X1,X2,X3,X4,X5,X6,X7) ),
c_0_109 ).
cnf(c_0_113,negated_conjecture,
~ p_6(a,a,a,a,a,a,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_100]),c_0_101]),c_0_102]),c_0_103]),c_0_104]),c_0_105]),c_0_106])]) ).
cnf(c_0_114,plain,
( ~ nq_1(X1)
| ~ nq_2(X2)
| ~ nq_3(X3)
| ~ nq_4(X4)
| ~ nq_5(X5)
| ~ nq_6(X6)
| ~ nq_7(X7)
| p_6(X1,X2,X3,X4,X5,X6,X7) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_108]),c_0_111]) ).
cnf(c_0_115,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_100]),c_0_101]),c_0_102]),c_0_103]),c_0_104]),c_0_105]),c_0_106])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN102-1.007.007 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 10:45:00 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.43 % Version: 3.5.1
% 0.14/0.43 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.43 % Starting sh5l with 300s (1) cores
% 0.14/0.43 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 4085552 completed with status 0
% 0.14/0.43 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.14/0.43 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.43 % No SInE strategy applied
% 0.14/0.43 % Search class: FHHNF-FFMM00-SFFFFFNN
% 0.14/0.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.14/0.43 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/0.43 % Starting new_bool_3 with 136s (1) cores
% 0.14/0.43 % Starting new_bool_1 with 136s (1) cores
% 0.14/0.43 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 4085561 completed with status 0
% 0.14/0.43 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.14/0.43 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.43 % No SInE strategy applied
% 0.14/0.43 % Search class: FHHNF-FFMM00-SFFFFFNN
% 0.14/0.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.14/0.43 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/0.43 % Preprocessing time : 0.001 s
% 0.14/0.43 % Presaturation interreduction done
% 0.14/0.43
% 0.14/0.43 % Proof found!
% 0.14/0.43 % SZS status Unsatisfiable
% 0.14/0.43 % SZS output start CNFRefutation
% See solution above
% 0.14/0.43 % Parsed axioms : 71
% 0.14/0.43 % Removed by relevancy pruning/SinE : 0
% 0.14/0.43 % Initial clauses : 71
% 0.14/0.43 % Removed in clause preprocessing : 0
% 0.14/0.43 % Initial clauses in saturation : 71
% 0.14/0.43 % Processed clauses : 249
% 0.14/0.43 % ...of these trivial : 0
% 0.14/0.43 % ...subsumed : 29
% 0.14/0.43 % ...remaining for further processing : 220
% 0.14/0.43 % Other redundant clauses eliminated : 0
% 0.14/0.43 % Clauses deleted for lack of memory : 0
% 0.14/0.43 % Backward-subsumed : 27
% 0.14/0.43 % Backward-rewritten : 0
% 0.14/0.43 % Generated clauses : 135
% 0.14/0.43 % ...of the previous two non-redundant : 134
% 0.14/0.43 % ...aggressively subsumed : 0
% 0.14/0.43 % Contextual simplify-reflections : 17
% 0.14/0.43 % Paramodulations : 135
% 0.14/0.43 % Factorizations : 0
% 0.14/0.43 % NegExts : 0
% 0.14/0.43 % Equation resolutions : 0
% 0.14/0.43 % Disequality decompositions : 0
% 0.14/0.43 % Total rewrite steps : 42
% 0.14/0.43 % ...of those cached : 35
% 0.14/0.43 % Propositional unsat checks : 0
% 0.14/0.43 % Propositional check models : 0
% 0.14/0.43 % Propositional check unsatisfiable : 0
% 0.14/0.43 % Propositional clauses : 0
% 0.14/0.43 % Propositional clauses after purity: 0
% 0.14/0.43 % Propositional unsat core size : 0
% 0.14/0.43 % Propositional preprocessing time : 0.000
% 0.14/0.43 % Propositional encoding time : 0.000
% 0.14/0.43 % Propositional solver time : 0.000
% 0.14/0.43 % Success case prop preproc time : 0.000
% 0.14/0.43 % Success case prop encoding time : 0.000
% 0.14/0.43 % Success case prop solver time : 0.000
% 0.14/0.43 % Current number of processed clauses : 122
% 0.14/0.43 % Positive orientable unit clauses : 14
% 0.14/0.43 % Positive unorientable unit clauses: 0
% 0.14/0.43 % Negative unit clauses : 2
% 0.14/0.43 % Non-unit-clauses : 106
% 0.14/0.43 % Current number of unprocessed clauses: 26
% 0.14/0.43 % ...number of literals in the above : 130
% 0.14/0.43 % Current number of archived formulas : 0
% 0.14/0.43 % Current number of archived clauses : 98
% 0.14/0.43 % Clause-clause subsumption calls (NU) : 9944
% 0.14/0.43 % Rec. Clause-clause subsumption calls : 2165
% 0.14/0.43 % Non-unit clause-clause subsumptions : 65
% 0.14/0.43 % Unit Clause-clause subsumption calls : 26
% 0.14/0.43 % Rewrite failures with RHS unbound : 0
% 0.14/0.43 % BW rewrite match attempts : 0
% 0.14/0.43 % BW rewrite match successes : 0
% 0.14/0.43 % Condensation attempts : 0
% 0.14/0.43 % Condensation successes : 0
% 0.14/0.43 % Termbank termtop insertions : 6002
% 0.14/0.43 % Search garbage collected termcells : 173
% 0.14/0.43
% 0.14/0.43 % -------------------------------------------------
% 0.14/0.43 % User time : 0.009 s
% 0.14/0.43 % System time : 0.004 s
% 0.14/0.43 % Total time : 0.013 s
% 0.14/0.43 % Maximum resident set size: 3680 pages
% 0.14/0.43
% 0.14/0.43 % -------------------------------------------------
% 0.14/0.43 % User time : 0.048 s
% 0.14/0.43 % System time : 0.012 s
% 0.14/0.43 % Total time : 0.060 s
% 0.14/0.43 % Maximum resident set size: 4608 pages
% 0.14/0.43 % E exiting
%------------------------------------------------------------------------------