%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN102-1.007.007 : TPTP v9.2.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:36:08 PM UTC 2026
% Result : Unsatisfiable 1.22s 1.69s
% Output : CNFRefutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 32
% Syntax : Number of clauses : 91 ( 16 unt; 0 nHn; 91 RR)
% Number of literals : 331 ( 0 equ; 250 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 : 462 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(n_s3_goal_1,negated_conjecture,
( ~ p_0(a,a,a,a,a,a,a)
| ~ q_0(a,a,a,a,a,a,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_goal_1) ).
cnf(n_s3_type12_1,axiom,
( q_0(X1,X2,X3,X4,X5,X6,X7)
| ~ p_1(X1,X2,X3,X4,X5,X6,X7)
| ~ q_2(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_1) ).
cnf(n_s3_type11_1,axiom,
( p_0(X1,X2,X3,X4,X5,X6,X7)
| ~ p_1(X1,X2,X3,X4,X5,X6,X7)
| ~ p_2(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_1) ).
cnf(n_s3_type12_10,axiom,
( q_4(X1,X2,X3,X4,X5,X6,X7)
| ~ q_5(X1,X2,X3,X4,X5,X6,X7)
| ~ p_6(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_10) ).
cnf(n_s3_type12_11,axiom,
( q_5(X1,X2,X3,X4,X5,X6,X7)
| ~ p_6(X1,X2,X3,X4,X5,X6,X7)
| ~ q_7(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_11) ).
cnf(n_s3_type12_21,axiom,
( q_10(X1,X2,X3,X4,X5,X6,X7)
| ~ p_11(X1,X2,X3,X4,X5,X6,X7)
| ~ q_12(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_21) ).
cnf(n_t3_3,axiom,
( q_12(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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t3_3) ).
cnf(n_s3_type11_23,axiom,
( p_11(X1,X2,X3,X4,X5,X6,X7)
| ~ p_12(X1,X2,X3,X4,X5,X6,X7)
| ~ p_13(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_23) ).
cnf(n_t3_2,axiom,
( p_13(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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t3_2) ).
cnf(n_t3_1,axiom,
( p_12(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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t3_1) ).
cnf(n_s3_type11_3,axiom,
( p_1(X1,X2,X3,X4,X5,X6,X7)
| ~ p_2(X1,X2,X3,X4,X5,X6,X7)
| ~ p_3(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_3) ).
cnf(n_s3_type11_8,axiom,
( p_3(X1,X2,X3,X4,X5,X6,X7)
| ~ q_4(X1,X2,X3,X4,X5,X6,X7)
| ~ q_5(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_8) ).
cnf(n_s3_type11_9,axiom,
( p_4(X1,X2,X3,X4,X5,X6,X7)
| ~ p_5(X1,X2,X3,X4,X5,X6,X7)
| ~ p_6(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_9) ).
cnf(n_s3_type11_11,axiom,
( p_5(X1,X2,X3,X4,X5,X6,X7)
| ~ p_6(X1,X2,X3,X4,X5,X6,X7)
| ~ p_7(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_11) ).
cnf(n_s3_type11_21,axiom,
( p_10(X1,X2,X3,X4,X5,X6,X7)
| ~ p_11(X1,X2,X3,X4,X5,X6,X7)
| ~ p_12(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_21) ).
cnf(n_s3_type12_5,axiom,
( q_2(X1,X2,X3,X4,X5,X6,X7)
| ~ p_3(X1,X2,X3,X4,X5,X6,X7)
| ~ q_4(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_5) ).
cnf(n_s3_type11_7,axiom,
( p_3(X1,X2,X3,X4,X5,X6,X7)
| ~ p_4(X1,X2,X3,X4,X5,X6,X7)
| ~ p_5(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_7) ).
cnf(n_s3_type12_20,axiom,
( q_9(X1,X2,X3,X4,X5,X6,X7)
| ~ q_10(X1,X2,X3,X4,X5,X6,X7)
| ~ p_11(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_20) ).
cnf(n_s3_type11_5,axiom,
( p_2(X1,X2,X3,X4,X5,X6,X7)
| ~ p_3(X1,X2,X3,X4,X5,X6,X7)
| ~ p_4(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_5) ).
cnf(n_s3_type11_19,axiom,
( p_9(X1,X2,X3,X4,X5,X6,X7)
| ~ p_10(X1,X2,X3,X4,X5,X6,X7)
| ~ p_11(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_19) ).
cnf(n_s3_type12_18,axiom,
( q_8(X1,X2,X3,X4,X5,X6,X7)
| ~ q_9(X1,X2,X3,X4,X5,X6,X7)
| ~ p_10(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_18) ).
cnf(n_s3_type12_16,axiom,
( q_7(X1,X2,X3,X4,X5,X6,X7)
| ~ q_8(X1,X2,X3,X4,X5,X6,X7)
| ~ p_9(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type12_16) ).
cnf(n_s3_type11_17,axiom,
( p_8(X1,X2,X3,X4,X5,X6,X7)
| ~ p_9(X1,X2,X3,X4,X5,X6,X7)
| ~ p_10(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_17) ).
cnf(n_13,axiom,
nq_7(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_13) ).
cnf(n_11,axiom,
nq_6(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_11) ).
cnf(n_9,axiom,
nq_5(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_9) ).
cnf(n_7,axiom,
nq_4(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_7) ).
cnf(n_5,axiom,
nq_3(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_5) ).
cnf(n_3,axiom,
nq_2(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_3) ).
cnf(n_1,axiom,
nq_1(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_1) ).
cnf(n_s3_type11_15,axiom,
( p_7(X1,X2,X3,X4,X5,X6,X7)
| ~ p_8(X1,X2,X3,X4,X5,X6,X7)
| ~ p_9(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_15) ).
cnf(n_s3_type11_13,axiom,
( p_6(X1,X2,X3,X4,X5,X6,X7)
| ~ p_7(X1,X2,X3,X4,X5,X6,X7)
| ~ p_8(X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s3_type11_13) ).
cnf(c_0_32,negated_conjecture,
( ~ p_0(a,a,a,a,a,a,a)
| ~ q_0(a,a,a,a,a,a,a) ),
n_s3_goal_1 ).
cnf(c_0_33,axiom,
( q_0(X1,X2,X3,X4,X5,X6,X7)
| ~ p_1(X1,X2,X3,X4,X5,X6,X7)
| ~ q_2(X1,X2,X3,X4,X5,X6,X7) ),
n_s3_type12_1 ).
cnf(c_0_34,negated_conjecture,
( ~ q_2(a,a,a,a,a,a,a)
| ~ p_1(a,a,a,a,a,a,a)
| ~ p_0(a,a,a,a,a,a,a) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_35,axiom,
( p_0(X1,X2,X3,X4,X5,X6,X7)
| ~ p_1(X1,X2,X3,X4,X5,X6,X7)
| ~ p_2(X1,X2,X3,X4,X5,X6,X7) ),
n_s3_type11_1 ).
cnf(c_0_36,axiom,
( q_4(X1,X2,X3,X4,X5,X6,X7)
| ~ q_5(X1,X2,X3,X4,X5,X6,X7)
| ~ p_6(X1,X2,X3,X4,X5,X6,X7) ),
n_s3_type12_10 ).
cnf(c_0_37,axiom,
( q_5(X1,X2,X3,X4,X5,X6,X7)
| ~ p_6(X1,X2,X3,X4,X5,X6,X7)
| ~ q_7(X1,X2,X3,X4,X5,X6,X7) ),
n_s3_type12_11 ).
cnf(c_0_38,axiom,
( q_10(X1,X2,X3,X4,X5,X6,X7)
| ~ p_11(X1,X2,X3,X4,X5,X6,X7)
| ~ q_12(X1,X2,X3,X4,X5,X6,X7) ),
n_s3_type12_21 ).
cnf(c_0_39,axiom,
( q_12(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) ),
n_t3_3 ).
cnf(c_0_40,axiom,
( p_11(X1,X2,X3,X4,X5,X6,X7)
| ~ p_12(X1,X2,X3,X4,X5,X6,X7)
| ~ p_13(X1,X2,X3,X4,X5,X6,X7) ),
n_s3_type11_23 ).
cnf(c_0_41,axiom,
( p_13(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) ),
n_t3_2 ).
cnf(c_0_42,axiom,
( p_12(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) ),
n_t3_1 ).
cnf(c_0_43,negated_conjecture,
( ~ q_2(a,a,a,a,a,a,a)
| ~ p_2(a,a,a,a,a,a,a)
| ~ p_1(a,a,a,a,a,a,a) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_44,axiom,
( p_1(X1,X2,X3,X4,X5,X6,X7)
| ~ p_2(X1,X2,X3,X4,X5,X6,X7)
| ~ p_3(X1,X2,X3,X4,X5,X6,X7) ),
n_s3_type11_3 ).
cnf(c_0_45,axiom,
( p_3(X1,X2,X3,X4,X5,X6,X7)
| ~ q_4(X1,X2,X3,X4,X5,X6,X7)
| ~ q_5(X1,X2,X3,X4,X5,X6,X7) ),
n_s3_type11_8 ).
cnf(c_0_46,plain,
( q_4(X1,X2,X3,X4,X5,X6,X7)
| ~ q_7(X1,X2,X3,X4,X5,X6,X7)
| ~ p_6(X1,X2,X3,X4,X5,X6,X7) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_47,axiom,
( p_4(X1,X2,X3,X4,X5,X6,X7)
| ~ p_5(X1,X2,X3,X4,X5,X6,X7)
| ~ p_6(X1,X2,X3,X4,X5,X6,X7) ),
n_s3_type11_9 ).
cnf(c_0_48,axiom,
( p_5(X1,X2,X3,X4,X5,X6,X7)
| ~ p_6(X1,X2,X3,X4,X5,X6,X7)
| ~ p_7(X1,X2,X3,X4,X5,X6,X7) ),
n_s3_type11_11 ).
cnf(c_0_49,axiom,
( p_10(X1,X2,X3,X4,X5,X6,X7)
| ~ p_11(X1,X2,X3,X4,X5,X6,X7)
| ~ p_12(X1,X2,X3,X4,X5,X6,X7) ),
n_s3_type11_21 ).
cnf(c_0_50,plain,
( q_10(X1,X2,X3,X4,X5,X6,X7)
| ~ nq_7(X7)
| ~ nq_6(X6)
| ~ nq_5(X5)
| ~ nq_4(X4)
| ~ nq_3(X3)
| ~ nq_2(X2)
| ~ nq_1(X1)
| ~ p_11(X1,X2,X3,X4,X5,X6,X7) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_51,plain,
( p_11(X1,X2,X3,X4,X5,X6,X7)
| ~ nq_7(X7)
| ~ nq_6(X6)
| ~ nq_5(X5)
| ~ nq_4(X4)
| ~ nq_3(X3)
| ~ nq_2(X2)
| ~ nq_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_52,negated_conjecture,
( ~ p_3(a,a,a,a,a,a,a)
| ~ q_2(a,a,a,a,a,a,a)
| ~ p_2(a,a,a,a,a,a,a) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_53,plain,
( p_3(X1,X2,X3,X4,X5,X6,X7)
| ~ q_7(X1,X2,X3,X4,X5,X6,X7)
| ~ p_6(X1,X2,X3,X4,X5,X6,X7) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_37]),c_0_46]) ).
cnf(c_0_54,axiom,
( q_2(X1,X2,X3,X4,X5,X6,X7)
| ~ p_3(X1,X2,X3,X4,X5,X6,X7)
| ~ q_4(X1,X2,X3,X4,X5,X6,X7) ),
n_s3_type12_5 ).
cnf(c_0_55,axiom,
( p_3(X1,X2,X3,X4,X5,X6,X7)
| ~ p_4(X1,X2,X3,X4,X5,X6,X7)
| ~ p_5(X1,X2,X3,X4,X5,X6,X7) ),
n_s3_type11_7 ).
cnf(c_0_56,plain,
( p_4(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(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_57,plain,
( p_10(X1,X2,X3,X4,X5,X6,X7)
| ~ nq_7(X7)
| ~ nq_6(X6)
| ~ nq_5(X5)
| ~ nq_4(X4)
| ~ nq_3(X3)
| ~ nq_2(X2)
| ~ nq_1(X1)
| ~ p_11(X1,X2,X3,X4,X5,X6,X7) ),
inference(spm,[status(thm)],[c_0_49,c_0_42]) ).
cnf(c_0_58,axiom,
( q_9(X1,X2,X3,X4,X5,X6,X7)
| ~ q_10(X1,X2,X3,X4,X5,X6,X7)
| ~ p_11(X1,X2,X3,X4,X5,X6,X7) ),
n_s3_type12_20 ).
cnf(c_0_59,plain,
( q_10(X1,X2,X3,X4,X5,X6,X7)
| ~ nq_7(X7)
| ~ nq_6(X6)
| ~ nq_5(X5)
| ~ nq_4(X4)
| ~ nq_3(X3)
| ~ nq_2(X2)
| ~ nq_1(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_60,negated_conjecture,
( ~ q_7(a,a,a,a,a,a,a)
| ~ p_6(a,a,a,a,a,a,a)
| ~ q_2(a,a,a,a,a,a,a)
| ~ p_2(a,a,a,a,a,a,a) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_61,plain,
( q_2(X1,X2,X3,X4,X5,X6,X7)
| ~ q_7(X1,X2,X3,X4,X5,X6,X7)
| ~ p_6(X1,X2,X3,X4,X5,X6,X7) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_46]),c_0_53]) ).
cnf(c_0_62,axiom,
( p_2(X1,X2,X3,X4,X5,X6,X7)
| ~ p_3(X1,X2,X3,X4,X5,X6,X7)
| ~ p_4(X1,X2,X3,X4,X5,X6,X7) ),
n_s3_type11_5 ).
cnf(c_0_63,plain,
( p_3(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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_48]),c_0_56]) ).
cnf(c_0_64,axiom,
( p_9(X1,X2,X3,X4,X5,X6,X7)
| ~ p_10(X1,X2,X3,X4,X5,X6,X7)
| ~ p_11(X1,X2,X3,X4,X5,X6,X7) ),
n_s3_type11_19 ).
cnf(c_0_65,plain,
( p_10(X1,X2,X3,X4,X5,X6,X7)
| ~ nq_7(X7)
| ~ nq_6(X6)
| ~ nq_5(X5)
| ~ nq_4(X4)
| ~ nq_3(X3)
| ~ nq_2(X2)
| ~ nq_1(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_51]) ).
cnf(c_0_66,axiom,
( q_8(X1,X2,X3,X4,X5,X6,X7)
| ~ q_9(X1,X2,X3,X4,X5,X6,X7)
| ~ p_10(X1,X2,X3,X4,X5,X6,X7) ),
n_s3_type12_18 ).
cnf(c_0_67,plain,
( q_9(X1,X2,X3,X4,X5,X6,X7)
| ~ nq_7(X7)
| ~ nq_6(X6)
| ~ nq_5(X5)
| ~ nq_4(X4)
| ~ nq_3(X3)
| ~ nq_2(X2)
| ~ nq_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_51]),c_0_59]) ).
cnf(c_0_68,negated_conjecture,
( ~ q_7(a,a,a,a,a,a,a)
| ~ p_6(a,a,a,a,a,a,a)
| ~ p_2(a,a,a,a,a,a,a) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_69,plain,
( p_2(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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_56]),c_0_63]) ).
cnf(c_0_70,axiom,
( q_7(X1,X2,X3,X4,X5,X6,X7)
| ~ q_8(X1,X2,X3,X4,X5,X6,X7)
| ~ p_9(X1,X2,X3,X4,X5,X6,X7) ),
n_s3_type12_16 ).
cnf(c_0_71,plain,
( p_9(X1,X2,X3,X4,X5,X6,X7)
| ~ nq_7(X7)
| ~ nq_6(X6)
| ~ nq_5(X5)
| ~ nq_4(X4)
| ~ nq_3(X3)
| ~ nq_2(X2)
| ~ nq_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_51]),c_0_65]) ).
cnf(c_0_72,plain,
( q_8(X1,X2,X3,X4,X5,X6,X7)
| ~ nq_7(X7)
| ~ nq_6(X6)
| ~ nq_5(X5)
| ~ nq_4(X4)
| ~ nq_3(X3)
| ~ nq_2(X2)
| ~ nq_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_65]),c_0_67]) ).
cnf(c_0_73,axiom,
( p_8(X1,X2,X3,X4,X5,X6,X7)
| ~ p_9(X1,X2,X3,X4,X5,X6,X7)
| ~ p_10(X1,X2,X3,X4,X5,X6,X7) ),
n_s3_type11_17 ).
cnf(c_0_74,negated_conjecture,
( ~ q_7(a,a,a,a,a,a,a)
| ~ p_7(a,a,a,a,a,a,a)
| ~ p_6(a,a,a,a,a,a,a) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_75,plain,
( q_7(X1,X2,X3,X4,X5,X6,X7)
| ~ nq_7(X7)
| ~ nq_6(X6)
| ~ nq_5(X5)
| ~ nq_4(X4)
| ~ nq_3(X3)
| ~ nq_2(X2)
| ~ nq_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).
cnf(c_0_76,axiom,
nq_7(a),
n_13 ).
cnf(c_0_77,axiom,
nq_6(a),
n_11 ).
cnf(c_0_78,axiom,
nq_5(a),
n_9 ).
cnf(c_0_79,axiom,
nq_4(a),
n_7 ).
cnf(c_0_80,axiom,
nq_3(a),
n_5 ).
cnf(c_0_81,axiom,
nq_2(a),
n_3 ).
cnf(c_0_82,axiom,
nq_1(a),
n_1 ).
cnf(c_0_83,axiom,
( p_7(X1,X2,X3,X4,X5,X6,X7)
| ~ p_8(X1,X2,X3,X4,X5,X6,X7)
| ~ p_9(X1,X2,X3,X4,X5,X6,X7) ),
n_s3_type11_15 ).
cnf(c_0_84,plain,
( p_8(X1,X2,X3,X4,X5,X6,X7)
| ~ nq_7(X7)
| ~ nq_6(X6)
| ~ nq_5(X5)
| ~ nq_4(X4)
| ~ nq_3(X3)
| ~ nq_2(X2)
| ~ nq_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_65]),c_0_71]) ).
cnf(c_0_85,negated_conjecture,
( ~ p_7(a,a,a,a,a,a,a)
| ~ 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_74,c_0_75]),c_0_76]),c_0_77]),c_0_78]),c_0_79]),c_0_80]),c_0_81]),c_0_82])]) ).
cnf(c_0_86,plain,
( p_7(X1,X2,X3,X4,X5,X6,X7)
| ~ nq_7(X7)
| ~ nq_6(X6)
| ~ nq_5(X5)
| ~ nq_4(X4)
| ~ nq_3(X3)
| ~ nq_2(X2)
| ~ nq_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_71]),c_0_84]) ).
cnf(c_0_87,axiom,
( p_6(X1,X2,X3,X4,X5,X6,X7)
| ~ p_7(X1,X2,X3,X4,X5,X6,X7)
| ~ p_8(X1,X2,X3,X4,X5,X6,X7) ),
n_s3_type11_13 ).
cnf(c_0_88,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_85,c_0_86]),c_0_76]),c_0_77]),c_0_78]),c_0_79]),c_0_80]),c_0_81]),c_0_82])]) ).
cnf(c_0_89,plain,
( p_6(X1,X2,X3,X4,X5,X6,X7)
| ~ nq_7(X7)
| ~ nq_6(X6)
| ~ nq_5(X5)
| ~ nq_4(X4)
| ~ nq_3(X3)
| ~ nq_2(X2)
| ~ nq_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_84]),c_0_86]) ).
cnf(c_0_90,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_88,c_0_89]),c_0_76]),c_0_77]),c_0_78]),c_0_79]),c_0_80]),c_0_81]),c_0_82])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN102-1.007.007 : TPTP v9.2.1. Bugfixed v1.2.0.
% 0.00/0.10 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.10/0.30 % Computer : n007.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 5 08:12:53 EDT 2026
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % start to proof: theBenchmark
% 1.22/1.69 % Version : CSE_E---1.7
% 1.22/1.69 % Problem : theBenchmark.p
% 1.22/1.69 % SZS status Unsatisfiable for theBenchmark.p
% 1.22/1.69 % SZS output start CNFRefutation
% See solution above
% 1.22/1.69 % Total time : 1.370s
%------------------------------------------------------------------------------