%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN100-1.005 : TPTP v9.2.1. Bugfixed v1.2.1.
% 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 : n016.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 0.28s 1.62s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 82
% Syntax : Number of clauses : 197 ( 33 unt; 66 nHn; 195 RR)
% Number of literals : 505 ( 0 equ; 252 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 45 ( 44 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 164 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(m_s3_type12_16,axiom,
( q_7(X1)
| ~ q_8(X1)
| ~ p_9(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_16) ).
cnf(m_s3_type12_15,axiom,
( q_7(X1)
| ~ p_8(X1)
| ~ q_9(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_15) ).
cnf(m_s3_type11_16,axiom,
( p_7(X1)
| ~ q_8(X1)
| ~ q_9(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_16) ).
cnf(m_s3_type11_15,axiom,
( p_7(X1)
| ~ p_8(X1)
| ~ p_9(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_15) ).
cnf(m_s3_type12_14,axiom,
( q_6(X1)
| ~ q_7(X1)
| ~ p_8(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_14) ).
cnf(m_s3_type12_13,axiom,
( q_6(X1)
| ~ p_7(X1)
| ~ q_8(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_13) ).
cnf(m_s3_type11_14,axiom,
( p_6(X1)
| ~ q_7(X1)
| ~ q_8(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_14) ).
cnf(m_s3_type11_13,axiom,
( p_6(X1)
| ~ p_7(X1)
| ~ p_8(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_13) ).
cnf(m_s3_type12_12,axiom,
( q_5(X1)
| ~ q_6(X1)
| ~ p_7(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_12) ).
cnf(m_s3_type12_11,axiom,
( q_5(X1)
| ~ p_6(X1)
| ~ q_7(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_11) ).
cnf(m_s3_type11_12,axiom,
( p_5(X1)
| ~ q_6(X1)
| ~ q_7(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_12) ).
cnf(m_s3_type11_11,axiom,
( p_5(X1)
| ~ p_6(X1)
| ~ p_7(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_11) ).
cnf(m_s3_type12_10,axiom,
( q_4(X1)
| ~ q_5(X1)
| ~ p_6(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_10) ).
cnf(m_s3_type12_9,axiom,
( q_4(X1)
| ~ p_5(X1)
| ~ q_6(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_9) ).
cnf(m_s3_type11_10,axiom,
( p_4(X1)
| ~ q_5(X1)
| ~ q_6(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_10) ).
cnf(m_s3_type11_9,axiom,
( p_4(X1)
| ~ p_5(X1)
| ~ p_6(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_9) ).
cnf(m_s3_type12_8,axiom,
( q_3(X1)
| ~ q_4(X1)
| ~ p_5(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_8) ).
cnf(m_s3_type12_7,axiom,
( q_3(X1)
| ~ p_4(X1)
| ~ q_5(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_7) ).
cnf(m_s3_type11_8,axiom,
( p_3(X1)
| ~ q_4(X1)
| ~ q_5(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_8) ).
cnf(m_s3_type11_7,axiom,
( p_3(X1)
| ~ p_4(X1)
| ~ p_5(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_7) ).
cnf(m_s3_type12_6,axiom,
( q_2(X1)
| ~ q_3(X1)
| ~ p_4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_6) ).
cnf(m_s3_type12_5,axiom,
( q_2(X1)
| ~ p_3(X1)
| ~ q_4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_5) ).
cnf(m_s3_type12_4,axiom,
( q_1(X1)
| ~ q_2(X1)
| ~ p_3(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_4) ).
cnf(m_s3_type12_3,axiom,
( q_1(X1)
| ~ p_2(X1)
| ~ q_3(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_3) ).
cnf(m_s3_type11_6,axiom,
( p_2(X1)
| ~ q_3(X1)
| ~ q_4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_6) ).
cnf(m_s3_type11_5,axiom,
( p_2(X1)
| ~ p_3(X1)
| ~ p_4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_5) ).
cnf(m_s3_type11_4,axiom,
( p_1(X1)
| ~ q_2(X1)
| ~ q_3(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_4) ).
cnf(m_s3_type11_3,axiom,
( p_1(X1)
| ~ p_2(X1)
| ~ p_3(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_3) ).
cnf(m_s3_type12_2,axiom,
( q_0(X1)
| ~ q_1(X1)
| ~ p_2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_2) ).
cnf(m_s3_type12_1,axiom,
( q_0(X1)
| ~ p_1(X1)
| ~ q_2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_1) ).
cnf(m_s3_type11_2,axiom,
( p_0(X1)
| ~ q_1(X1)
| ~ q_2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_2) ).
cnf(m_s3_type11_1,axiom,
( p_0(X1)
| ~ p_1(X1)
| ~ p_2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_1) ).
cnf(sym_m_s3_type11_16,axiom,
( sym_q_8(X1)
| sym_q_9(X1)
| ~ sym_p_7(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type11_16) ).
cnf(sym_m_s3_type12_16,axiom,
( sym_q_8(X1)
| sym_p_9(X1)
| ~ sym_q_7(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type12_16) ).
cnf(sym_m_s3_type12_15,axiom,
( sym_p_8(X1)
| sym_q_9(X1)
| ~ sym_q_7(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type12_15) ).
cnf(sym_m_s3_type11_15,axiom,
( sym_p_8(X1)
| sym_p_9(X1)
| ~ sym_p_7(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type11_15) ).
cnf(sym_m_s3_type11_14,axiom,
( sym_q_7(X1)
| sym_q_8(X1)
| ~ sym_p_6(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type11_14) ).
cnf(sym_m_s3_type12_14,axiom,
( sym_q_7(X1)
| sym_p_8(X1)
| ~ sym_q_6(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type12_14) ).
cnf(sym_m_s3_type12_13,axiom,
( sym_p_7(X1)
| sym_q_8(X1)
| ~ sym_q_6(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type12_13) ).
cnf(sym_m_s3_type11_13,axiom,
( sym_p_7(X1)
| sym_p_8(X1)
| ~ sym_p_6(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type11_13) ).
cnf(sym_m_s3_type11_12,axiom,
( sym_q_6(X1)
| sym_q_7(X1)
| ~ sym_p_5(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type11_12) ).
cnf(sym_m_s3_type12_12,axiom,
( sym_q_6(X1)
| sym_p_7(X1)
| ~ sym_q_5(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type12_12) ).
cnf(sym_m_s3_type12_11,axiom,
( sym_p_6(X1)
| sym_q_7(X1)
| ~ sym_q_5(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type12_11) ).
cnf(sym_m_s3_type11_11,axiom,
( sym_p_6(X1)
| sym_p_7(X1)
| ~ sym_p_5(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type11_11) ).
cnf(sym_m_s3_type11_10,axiom,
( sym_q_5(X1)
| sym_q_6(X1)
| ~ sym_p_4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type11_10) ).
cnf(sym_m_s3_type12_10,axiom,
( sym_q_5(X1)
| sym_p_6(X1)
| ~ sym_q_4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type12_10) ).
cnf(sym_m_s3_type12_9,axiom,
( sym_p_5(X1)
| sym_q_6(X1)
| ~ sym_q_4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type12_9) ).
cnf(sym_m_s3_type11_9,axiom,
( sym_p_5(X1)
| sym_p_6(X1)
| ~ sym_p_4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type11_9) ).
cnf(sym_m_s3_type11_8,axiom,
( sym_q_4(X1)
| sym_q_5(X1)
| ~ sym_p_3(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type11_8) ).
cnf(sym_m_s3_type12_8,axiom,
( sym_q_4(X1)
| sym_p_5(X1)
| ~ sym_q_3(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type12_8) ).
cnf(sym_m_s3_type12_7,axiom,
( sym_p_4(X1)
| sym_q_5(X1)
| ~ sym_q_3(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type12_7) ).
cnf(sym_m_s3_type11_7,axiom,
( sym_p_4(X1)
| sym_p_5(X1)
| ~ sym_p_3(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type11_7) ).
cnf(sym_m_s3_type11_6,axiom,
( sym_q_3(X1)
| sym_q_4(X1)
| ~ sym_p_2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type11_6) ).
cnf(sym_m_s3_type12_6,axiom,
( sym_q_3(X1)
| sym_p_4(X1)
| ~ sym_q_2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type12_6) ).
cnf(sym_m_s3_type12_5,axiom,
( sym_p_3(X1)
| sym_q_4(X1)
| ~ sym_q_2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type12_5) ).
cnf(sym_m_s3_type11_5,axiom,
( sym_p_3(X1)
| sym_p_4(X1)
| ~ sym_p_2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type11_5) ).
cnf(sym_m_s3_type11_4,axiom,
( sym_q_2(X1)
| sym_q_3(X1)
| ~ sym_p_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type11_4) ).
cnf(sym_m_s3_type12_4,axiom,
( sym_q_2(X1)
| sym_p_3(X1)
| ~ sym_q_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type12_4) ).
cnf(sym_m_s3_type11_2,axiom,
( sym_q_1(X1)
| sym_q_2(X1)
| ~ sym_p_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type11_2) ).
cnf(sym_m_s3_type12_3,axiom,
( sym_p_2(X1)
| sym_q_3(X1)
| ~ sym_q_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type12_3) ).
cnf(sym_m_s3_type11_3,axiom,
( sym_p_2(X1)
| sym_p_3(X1)
| ~ sym_p_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type11_3) ).
cnf(sym_m_s3_type12_2,axiom,
( sym_q_1(X1)
| sym_p_2(X1)
| ~ sym_q_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type12_2) ).
cnf(sym_m_s3_type12_1,axiom,
( sym_p_1(X1)
| sym_q_2(X1)
| ~ sym_q_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type12_1) ).
cnf(sym_m_s3_type11_1,axiom,
( sym_p_1(X1)
| sym_p_2(X1)
| ~ sym_p_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type11_1) ).
cnf(m_s3_goal_1,negated_conjecture,
( ~ p_0(X1)
| ~ q_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_goal_1) ).
cnf(sym_m_s3_type2_4,axiom,
( sym_q_5(X1)
| ~ sym_q_10(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type2_4) ).
cnf(sym_m_s3_type2_2,axiom,
( sym_p_5(X1)
| ~ sym_p_10(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type2_2) ).
cnf(sym_m_s3_type2_3,axiom,
( sym_q_4(X1)
| ~ sym_q_9(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type2_3) ).
cnf(sym_m_s3_type2_1,axiom,
( sym_p_4(X1)
| ~ sym_p_9(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_type2_1) ).
cnf(m_s3_type2_4,axiom,
( q_10(X1)
| ~ q_5(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type2_4) ).
cnf(m_s3_type2_2,axiom,
( p_10(X1)
| ~ p_5(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type2_2) ).
cnf(m_s3_type2_3,axiom,
( q_9(X1)
| ~ q_4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type2_3) ).
cnf(m_s3_type2_1,axiom,
( p_9(X1)
| ~ p_4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type2_1) ).
cnf(sym_m_s3_goal_1,axiom,
( sym_p_0(X1)
| sym_q_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_s3_goal_1) ).
cnf(sym_m_t3_4,axiom,
~ sym_q_9(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_t3_4) ).
cnf(sym_m_t3_2,axiom,
~ sym_p_9(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_t3_2) ).
cnf(sym_m_t3_3,axiom,
~ sym_q_8(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_t3_3) ).
cnf(sym_m_t3_1,axiom,
~ sym_p_8(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_m_t3_1) ).
cnf(m_t3_4,axiom,
q_9(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t3_4) ).
cnf(m_t3_2,axiom,
p_9(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t3_2) ).
cnf(m_t3_3,axiom,
q_8(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t3_3) ).
cnf(m_t3_1,axiom,
p_8(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t3_1) ).
cnf(i_0_82,axiom,
( q_7(X1)
| ~ q_8(X1)
| ~ p_9(X1) ),
m_s3_type12_16,
[final] ).
cnf(i_0_83,axiom,
( q_7(X1)
| ~ p_8(X1)
| ~ q_9(X1) ),
m_s3_type12_15,
[final] ).
cnf(i_0_84,axiom,
( p_7(X1)
| ~ q_8(X1)
| ~ q_9(X1) ),
m_s3_type11_16,
[final] ).
cnf(i_0_85,axiom,
( p_7(X1)
| ~ p_8(X1)
| ~ p_9(X1) ),
m_s3_type11_15,
[final] ).
cnf(i_0_86,axiom,
( q_6(X1)
| ~ q_7(X1)
| ~ p_8(X1) ),
m_s3_type12_14,
[final] ).
cnf(i_0_87,axiom,
( q_6(X1)
| ~ p_7(X1)
| ~ q_8(X1) ),
m_s3_type12_13,
[final] ).
cnf(i_0_88,axiom,
( p_6(X1)
| ~ q_7(X1)
| ~ q_8(X1) ),
m_s3_type11_14,
[final] ).
cnf(i_0_89,axiom,
( p_6(X1)
| ~ p_7(X1)
| ~ p_8(X1) ),
m_s3_type11_13,
[final] ).
cnf(i_0_90,axiom,
( q_5(X1)
| ~ q_6(X1)
| ~ p_7(X1) ),
m_s3_type12_12,
[final] ).
cnf(i_0_91,axiom,
( q_5(X1)
| ~ p_6(X1)
| ~ q_7(X1) ),
m_s3_type12_11,
[final] ).
cnf(i_0_92,axiom,
( p_5(X1)
| ~ q_6(X1)
| ~ q_7(X1) ),
m_s3_type11_12,
[final] ).
cnf(i_0_93,axiom,
( p_5(X1)
| ~ p_6(X1)
| ~ p_7(X1) ),
m_s3_type11_11,
[final] ).
cnf(i_0_94,axiom,
( q_4(X1)
| ~ q_5(X1)
| ~ p_6(X1) ),
m_s3_type12_10,
[final] ).
cnf(i_0_95,axiom,
( q_4(X1)
| ~ p_5(X1)
| ~ q_6(X1) ),
m_s3_type12_9,
[final] ).
cnf(i_0_96,axiom,
( p_4(X1)
| ~ q_5(X1)
| ~ q_6(X1) ),
m_s3_type11_10,
[final] ).
cnf(i_0_97,axiom,
( p_4(X1)
| ~ p_5(X1)
| ~ p_6(X1) ),
m_s3_type11_9,
[final] ).
cnf(i_0_98,axiom,
( q_3(X1)
| ~ q_4(X1)
| ~ p_5(X1) ),
m_s3_type12_8,
[final] ).
cnf(i_0_99,axiom,
( q_3(X1)
| ~ p_4(X1)
| ~ q_5(X1) ),
m_s3_type12_7,
[final] ).
cnf(i_0_100,axiom,
( p_3(X1)
| ~ q_4(X1)
| ~ q_5(X1) ),
m_s3_type11_8,
[final] ).
cnf(i_0_101,axiom,
( p_3(X1)
| ~ p_4(X1)
| ~ p_5(X1) ),
m_s3_type11_7,
[final] ).
cnf(i_0_102,axiom,
( q_2(X1)
| ~ q_3(X1)
| ~ p_4(X1) ),
m_s3_type12_6,
[final] ).
cnf(i_0_103,axiom,
( q_2(X1)
| ~ p_3(X1)
| ~ q_4(X1) ),
m_s3_type12_5,
[final] ).
cnf(i_0_104,axiom,
( q_1(X1)
| ~ q_2(X1)
| ~ p_3(X1) ),
m_s3_type12_4,
[final] ).
cnf(i_0_105,axiom,
( q_1(X1)
| ~ p_2(X1)
| ~ q_3(X1) ),
m_s3_type12_3,
[final] ).
cnf(i_0_106,axiom,
( p_2(X1)
| ~ q_3(X1)
| ~ q_4(X1) ),
m_s3_type11_6,
[final] ).
cnf(i_0_107,axiom,
( p_2(X1)
| ~ p_3(X1)
| ~ p_4(X1) ),
m_s3_type11_5,
[final] ).
cnf(i_0_108,axiom,
( p_1(X1)
| ~ q_2(X1)
| ~ q_3(X1) ),
m_s3_type11_4,
[final] ).
cnf(i_0_109,axiom,
( p_1(X1)
| ~ p_2(X1)
| ~ p_3(X1) ),
m_s3_type11_3,
[final] ).
cnf(i_0_110,axiom,
( q_0(X1)
| ~ q_1(X1)
| ~ p_2(X1) ),
m_s3_type12_2,
[final] ).
cnf(i_0_111,axiom,
( q_0(X1)
| ~ p_1(X1)
| ~ q_2(X1) ),
m_s3_type12_1,
[final] ).
cnf(i_0_112,axiom,
( p_0(X1)
| ~ q_1(X1)
| ~ q_2(X1) ),
m_s3_type11_2,
[final] ).
cnf(i_0_113,axiom,
( p_0(X1)
| ~ p_1(X1)
| ~ p_2(X1) ),
m_s3_type11_1,
[final] ).
cnf(i_0_114,axiom,
( sym_q_8(X1)
| sym_q_9(X1)
| ~ sym_p_7(X1) ),
sym_m_s3_type11_16,
[final] ).
cnf(i_0_115,axiom,
( sym_q_8(X1)
| sym_p_9(X1)
| ~ sym_q_7(X1) ),
sym_m_s3_type12_16,
[final] ).
cnf(i_0_116,axiom,
( sym_p_8(X1)
| sym_q_9(X1)
| ~ sym_q_7(X1) ),
sym_m_s3_type12_15,
[final] ).
cnf(i_0_117,axiom,
( sym_p_8(X1)
| sym_p_9(X1)
| ~ sym_p_7(X1) ),
sym_m_s3_type11_15,
[final] ).
cnf(i_0_118,axiom,
( sym_q_7(X1)
| sym_q_8(X1)
| ~ sym_p_6(X1) ),
sym_m_s3_type11_14,
[final] ).
cnf(i_0_119,axiom,
( sym_q_7(X1)
| sym_p_8(X1)
| ~ sym_q_6(X1) ),
sym_m_s3_type12_14,
[final] ).
cnf(i_0_120,axiom,
( sym_p_7(X1)
| sym_q_8(X1)
| ~ sym_q_6(X1) ),
sym_m_s3_type12_13,
[final] ).
cnf(i_0_121,axiom,
( sym_p_7(X1)
| sym_p_8(X1)
| ~ sym_p_6(X1) ),
sym_m_s3_type11_13,
[final] ).
cnf(i_0_122,axiom,
( sym_q_6(X1)
| sym_q_7(X1)
| ~ sym_p_5(X1) ),
sym_m_s3_type11_12,
[final] ).
cnf(i_0_123,axiom,
( sym_q_6(X1)
| sym_p_7(X1)
| ~ sym_q_5(X1) ),
sym_m_s3_type12_12,
[final] ).
cnf(i_0_124,axiom,
( sym_p_6(X1)
| sym_q_7(X1)
| ~ sym_q_5(X1) ),
sym_m_s3_type12_11,
[final] ).
cnf(i_0_125,axiom,
( sym_p_6(X1)
| sym_p_7(X1)
| ~ sym_p_5(X1) ),
sym_m_s3_type11_11,
[final] ).
cnf(i_0_126,axiom,
( sym_q_5(X1)
| sym_q_6(X1)
| ~ sym_p_4(X1) ),
sym_m_s3_type11_10,
[final] ).
cnf(i_0_127,axiom,
( sym_q_5(X1)
| sym_p_6(X1)
| ~ sym_q_4(X1) ),
sym_m_s3_type12_10,
[final] ).
cnf(i_0_128,axiom,
( sym_p_5(X1)
| sym_q_6(X1)
| ~ sym_q_4(X1) ),
sym_m_s3_type12_9,
[final] ).
cnf(i_0_129,axiom,
( sym_p_5(X1)
| sym_p_6(X1)
| ~ sym_p_4(X1) ),
sym_m_s3_type11_9,
[final] ).
cnf(i_0_130,axiom,
( sym_q_4(X1)
| sym_q_5(X1)
| ~ sym_p_3(X1) ),
sym_m_s3_type11_8,
[final] ).
cnf(i_0_131,axiom,
( sym_q_4(X1)
| sym_p_5(X1)
| ~ sym_q_3(X1) ),
sym_m_s3_type12_8,
[final] ).
cnf(i_0_132,axiom,
( sym_p_4(X1)
| sym_q_5(X1)
| ~ sym_q_3(X1) ),
sym_m_s3_type12_7,
[final] ).
cnf(i_0_133,axiom,
( sym_p_4(X1)
| sym_p_5(X1)
| ~ sym_p_3(X1) ),
sym_m_s3_type11_7,
[final] ).
cnf(i_0_134,axiom,
( sym_q_3(X1)
| sym_q_4(X1)
| ~ sym_p_2(X1) ),
sym_m_s3_type11_6,
[final] ).
cnf(i_0_135,axiom,
( sym_q_3(X1)
| sym_p_4(X1)
| ~ sym_q_2(X1) ),
sym_m_s3_type12_6,
[final] ).
cnf(i_0_136,axiom,
( sym_p_3(X1)
| sym_q_4(X1)
| ~ sym_q_2(X1) ),
sym_m_s3_type12_5,
[final] ).
cnf(i_0_137,axiom,
( sym_p_3(X1)
| sym_p_4(X1)
| ~ sym_p_2(X1) ),
sym_m_s3_type11_5,
[final] ).
cnf(i_0_138,axiom,
( sym_q_2(X1)
| sym_q_3(X1)
| ~ sym_p_1(X1) ),
sym_m_s3_type11_4,
[final] ).
cnf(i_0_139,axiom,
( sym_q_2(X1)
| sym_p_3(X1)
| ~ sym_q_1(X1) ),
sym_m_s3_type12_4,
[final] ).
cnf(i_0_140,axiom,
( sym_q_1(X1)
| sym_q_2(X1)
| ~ sym_p_0(X1) ),
sym_m_s3_type11_2,
[final] ).
cnf(i_0_141,axiom,
( sym_p_2(X1)
| sym_q_3(X1)
| ~ sym_q_1(X1) ),
sym_m_s3_type12_3,
[final] ).
cnf(i_0_142,axiom,
( sym_p_2(X1)
| sym_p_3(X1)
| ~ sym_p_1(X1) ),
sym_m_s3_type11_3,
[final] ).
cnf(i_0_143,axiom,
( sym_q_1(X1)
| sym_p_2(X1)
| ~ sym_q_0(X1) ),
sym_m_s3_type12_2,
[final] ).
cnf(i_0_144,axiom,
( sym_p_1(X1)
| sym_q_2(X1)
| ~ sym_q_0(X1) ),
sym_m_s3_type12_1,
[final] ).
cnf(i_0_145,axiom,
( sym_p_1(X1)
| sym_p_2(X1)
| ~ sym_p_0(X1) ),
sym_m_s3_type11_1,
[final] ).
cnf(i_0_146,negated_conjecture,
( ~ p_0(X1)
| ~ q_0(X1) ),
m_s3_goal_1,
[final] ).
cnf(i_0_147,axiom,
( sym_q_5(X1)
| ~ sym_q_10(X1) ),
sym_m_s3_type2_4,
[final] ).
cnf(i_0_148,axiom,
( sym_p_5(X1)
| ~ sym_p_10(X1) ),
sym_m_s3_type2_2,
[final] ).
cnf(i_0_149,axiom,
( sym_q_4(X1)
| ~ sym_q_9(X1) ),
sym_m_s3_type2_3,
[final] ).
cnf(i_0_150,axiom,
( sym_p_4(X1)
| ~ sym_p_9(X1) ),
sym_m_s3_type2_1,
[final] ).
cnf(i_0_151,axiom,
( q_10(X1)
| ~ q_5(X1) ),
m_s3_type2_4,
[final] ).
cnf(i_0_152,axiom,
( p_10(X1)
| ~ p_5(X1) ),
m_s3_type2_2,
[final] ).
cnf(i_0_153,axiom,
( q_9(X1)
| ~ q_4(X1) ),
m_s3_type2_3,
[final] ).
cnf(i_0_154,axiom,
( p_9(X1)
| ~ p_4(X1) ),
m_s3_type2_1,
[final] ).
cnf(i_0_155,axiom,
( sym_p_0(X1)
| sym_q_0(X1) ),
sym_m_s3_goal_1,
[final] ).
cnf(i_0_156,axiom,
~ sym_q_9(a),
sym_m_t3_4,
[final] ).
cnf(i_0_157,axiom,
~ sym_p_9(a),
sym_m_t3_2,
[final] ).
cnf(i_0_158,axiom,
~ sym_q_8(a),
sym_m_t3_3,
[final] ).
cnf(i_0_159,axiom,
~ sym_p_8(a),
sym_m_t3_1,
[final] ).
cnf(i_0_160,axiom,
q_9(a),
m_t3_4,
[final] ).
cnf(i_0_161,axiom,
p_9(a),
m_t3_2,
[final] ).
cnf(i_0_162,axiom,
q_8(a),
m_t3_3,
[final] ).
cnf(i_0_163,axiom,
p_8(a),
m_t3_1,
[final] ).
cnf(i_0_164,plain,
p_7(a),
inference(scs_inference,[],[i_0_160,i_0_162,i_0_84]) ).
cnf(i_0_165,plain,
( ~ q_8(X1)
| ~ q_9(X1)
| p_7(X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_166,plain,
q_6(a),
inference(scs_inference,[],[i_0_160,i_0_162,i_0_84,i_0_87]) ).
cnf(i_0_167,plain,
( ~ p_7(X1)
| ~ q_8(X1)
| q_6(X1) ),
inference(rename_variables,[],[i_0_87]) ).
cnf(i_0_168,plain,
p_6(a),
inference(scs_inference,[],[i_0_160,i_0_162,i_0_163,i_0_84,i_0_87,i_0_89]) ).
cnf(i_0_169,plain,
( ~ p_7(X1)
| ~ p_8(X1)
| p_6(X1) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_170,plain,
p_5(a),
inference(scs_inference,[],[i_0_160,i_0_162,i_0_163,i_0_84,i_0_87,i_0_89,i_0_93]) ).
cnf(i_0_171,plain,
( ~ p_6(X1)
| ~ p_7(X1)
| p_5(X1) ),
inference(rename_variables,[],[i_0_93]) ).
cnf(i_0_172,plain,
q_7(a),
inference(scs_inference,[],[i_0_160,i_0_162,i_0_163,i_0_161,i_0_84,i_0_87,i_0_89,i_0_93,i_0_82]) ).
cnf(i_0_173,plain,
( ~ q_8(X1)
| ~ p_9(X1)
| q_7(X1) ),
inference(rename_variables,[],[i_0_82]) ).
cnf(i_0_174,plain,
q_5(a),
inference(scs_inference,[],[i_0_160,i_0_162,i_0_163,i_0_161,i_0_84,i_0_87,i_0_89,i_0_93,i_0_82,i_0_90]) ).
cnf(i_0_175,plain,
( ~ q_6(X1)
| ~ p_7(X1)
| q_5(X1) ),
inference(rename_variables,[],[i_0_90]) ).
cnf(i_0_176,plain,
q_4(a),
inference(scs_inference,[],[i_0_160,i_0_162,i_0_163,i_0_161,i_0_84,i_0_87,i_0_89,i_0_93,i_0_82,i_0_90,i_0_94]) ).
cnf(i_0_177,plain,
( ~ q_5(X1)
| ~ p_6(X1)
| q_4(X1) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_178,plain,
p_4(a),
inference(scs_inference,[],[i_0_160,i_0_162,i_0_163,i_0_161,i_0_84,i_0_87,i_0_89,i_0_93,i_0_82,i_0_90,i_0_94,i_0_96]) ).
cnf(i_0_179,plain,
( ~ q_5(X1)
| ~ q_6(X1)
| p_4(X1) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_180,plain,
q_3(a),
inference(scs_inference,[],[i_0_160,i_0_162,i_0_163,i_0_161,i_0_84,i_0_87,i_0_89,i_0_93,i_0_82,i_0_90,i_0_94,i_0_96,i_0_98]) ).
cnf(i_0_181,plain,
( ~ q_4(X1)
| ~ p_5(X1)
| q_3(X1) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_182,plain,
p_3(a),
inference(scs_inference,[],[i_0_160,i_0_162,i_0_163,i_0_161,i_0_84,i_0_87,i_0_89,i_0_93,i_0_82,i_0_90,i_0_94,i_0_96,i_0_98,i_0_101]) ).
cnf(i_0_183,plain,
( ~ p_4(X1)
| ~ p_5(X1)
| p_3(X1) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_184,plain,
q_2(a),
inference(scs_inference,[],[i_0_160,i_0_162,i_0_163,i_0_161,i_0_84,i_0_87,i_0_89,i_0_93,i_0_82,i_0_90,i_0_94,i_0_96,i_0_98,i_0_101,i_0_102]) ).
cnf(i_0_185,plain,
( ~ q_3(X1)
| ~ p_4(X1)
| q_2(X1) ),
inference(rename_variables,[],[i_0_102]) ).
cnf(i_0_186,plain,
p_2(a),
inference(scs_inference,[],[i_0_160,i_0_162,i_0_163,i_0_161,i_0_84,i_0_87,i_0_89,i_0_93,i_0_82,i_0_90,i_0_94,i_0_96,i_0_98,i_0_101,i_0_102,i_0_106]) ).
cnf(i_0_187,plain,
( ~ q_3(X1)
| ~ q_4(X1)
| p_2(X1) ),
inference(rename_variables,[],[i_0_106]) ).
cnf(i_0_188,plain,
p_1(a),
inference(scs_inference,[],[i_0_160,i_0_162,i_0_163,i_0_161,i_0_84,i_0_87,i_0_89,i_0_93,i_0_82,i_0_90,i_0_94,i_0_96,i_0_98,i_0_101,i_0_102,i_0_106,i_0_108]) ).
cnf(i_0_189,plain,
( ~ q_2(X1)
| ~ q_3(X1)
| p_1(X1) ),
inference(rename_variables,[],[i_0_108]) ).
cnf(i_0_190,plain,
q_1(a),
inference(scs_inference,[],[i_0_184,i_0_182,i_0_104]) ).
cnf(i_0_191,plain,
( ~ q_2(X1)
| ~ p_3(X1)
| q_1(X1) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_192,plain,
q_0(a),
inference(scs_inference,[],[i_0_184,i_0_186,i_0_182,i_0_104,i_0_110]) ).
cnf(i_0_193,plain,
( ~ q_1(X1)
| ~ p_2(X1)
| q_0(X1) ),
inference(rename_variables,[],[i_0_110]) ).
cnf(i_0_194,plain,
p_0(a),
inference(scs_inference,[],[i_0_184,i_0_186,i_0_188,i_0_182,i_0_104,i_0_110,i_0_113]) ).
cnf(i_0_195,plain,
( ~ p_1(X1)
| ~ p_2(X1)
| p_0(X1) ),
inference(rename_variables,[],[i_0_113]) ).
cnf(i_0_196,plain,
$false,
inference(scs_inference,[],[i_0_184,i_0_186,i_0_188,i_0_182,i_0_104,i_0_110,i_0_113,i_0_146]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN100-1.005 : TPTP v9.2.1. Bugfixed v1.2.1.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n016.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 08:14:21 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.28/1.62 % Version : CSE_E---1.7
% 0.28/1.62 % Problem : theBenchmark.p
% 0.28/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 0.28/1.62 % SZS output start CNFRefutation
% See solution above
% 0.39/1.70 % Total time : 1.272s
%------------------------------------------------------------------------------