%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN099-1.003 : TPTP v9.2.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n023.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 0.25s 1.61s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_51)
% Comments :
%------------------------------------------------------------------------------
cnf(sym_m_s2_type11_4,axiom,
( sym_q_2_3(X1)
| sym_q_1_2(X1)
| ~ sym_p_1_3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s2_type11_4) ).
cnf(sym_m_s2_goal_1,axiom,
sym_p_1_3(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s2_goal_1) ).
cnf(sym_m_s2_type11_3,axiom,
( sym_p_2_3(X1)
| sym_p_1_2(X1)
| ~ sym_p_1_3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s2_type11_3) ).
cnf(m_s2_type12_3,axiom,
( q_1_3(X1)
| ~ p_2_3(X1)
| ~ q_1_2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s2_type12_3) ).
cnf(m_s2_type12_4,axiom,
( q_1_3(X1)
| ~ q_2_3(X1)
| ~ p_1_2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s2_type12_4) ).
cnf(m_s2_type12_2,axiom,
( q_1_2(X1)
| ~ q_2_2(X1)
| ~ p_1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s2_type12_2) ).
cnf(m_s2_type12_1,axiom,
( q_1_2(X1)
| ~ p_2_2(X1)
| ~ q_1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s2_type12_1) ).
cnf(m_s2_type12_5,axiom,
( q_2_3(X1)
| ~ p_3_3(X1)
| ~ q_2_2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s2_type12_5) ).
cnf(m_s2_type12_6,axiom,
( q_2_3(X1)
| ~ q_3_3(X1)
| ~ p_2_2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s2_type12_6) ).
cnf(m_s2_type11_6,axiom,
( p_2_3(X1)
| ~ q_3_3(X1)
| ~ q_2_2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s2_type11_6) ).
cnf(m_s2_type11_5,axiom,
( p_2_3(X1)
| ~ p_3_3(X1)
| ~ p_2_2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s2_type11_5) ).
cnf(m_s2_type11_2,axiom,
( p_1_2(X1)
| ~ q_2_2(X1)
| ~ q_1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s2_type11_2) ).
cnf(m_s2_type11_1,axiom,
( p_1_2(X1)
| ~ p_2_2(X1)
| ~ p_1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s2_type11_1) ).
cnf(m_s2_type11_4,axiom,
( p_1_3(X1)
| ~ q_2_3(X1)
| ~ q_1_2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s2_type11_4) ).
cnf(m_s2_type11_3,axiom,
( p_1_3(X1)
| ~ p_2_3(X1)
| ~ p_1_2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s2_type11_3) ).
cnf(sym_m_s2_type12_3,axiom,
( sym_p_2_3(X1)
| sym_q_1_2(X1)
| ~ sym_q_1_3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s2_type12_3) ).
cnf(sym_m_s2_type11_6,axiom,
( sym_q_3_3(X1)
| sym_q_2_2(X1)
| ~ sym_p_2_3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s2_type11_6) ).
cnf(sym_m_s2_type12_5,axiom,
( sym_p_3_3(X1)
| sym_q_2_2(X1)
| ~ sym_q_2_3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s2_type12_5) ).
cnf(sym_m_s2_type11_2,axiom,
( sym_q_2_2(X1)
| sym_q_1_1(X1)
| ~ sym_p_1_2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s2_type11_2) ).
cnf(sym_m_s2_type12_2,axiom,
( sym_q_2_2(X1)
| sym_p_1_1(X1)
| ~ sym_q_1_2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s2_type12_2) ).
cnf(sym_m_s2_type12_6,axiom,
( sym_q_3_3(X1)
| sym_p_2_2(X1)
| ~ sym_q_2_3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s2_type12_6) ).
cnf(sym_m_s2_type11_5,axiom,
( sym_p_3_3(X1)
| sym_p_2_2(X1)
| ~ sym_p_2_3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s2_type11_5) ).
cnf(sym_m_s2_type12_1,axiom,
( sym_p_2_2(X1)
| sym_q_1_1(X1)
| ~ sym_q_1_2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s2_type12_1) ).
cnf(sym_m_s2_type11_1,axiom,
( sym_p_2_2(X1)
| sym_p_1_1(X1)
| ~ sym_p_1_2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s2_type11_1) ).
cnf(sym_m_s2_type12_4,axiom,
( sym_q_2_3(X1)
| sym_p_1_2(X1)
| ~ sym_q_1_3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s2_type12_4) ).
cnf(sym_m_s2_type21_2,axiom,
( sym_q_1_2(X1)
| ~ sym_q_1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s2_type21_2) ).
cnf(sym_m_s2_type22_3,axiom,
( sym_q_1_2(X1)
| ~ sym_q_2_2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s2_type22_3) ).
cnf(sym_m_s2_type22_4,axiom,
( sym_q_2_3(X1)
| ~ sym_q_3_3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s2_type22_4) ).
cnf(sym_m_s2_type22_2,axiom,
( sym_p_2_3(X1)
| ~ sym_p_3_3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s2_type22_2) ).
cnf(sym_m_s2_type21_1,axiom,
( sym_p_1_2(X1)
| ~ sym_p_1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s2_type21_1) ).
cnf(sym_m_s2_type22_1,axiom,
( sym_p_1_2(X1)
| ~ sym_p_2_2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_s2_type22_1) ).
cnf(m_s2_type22_4,axiom,
( q_3_3(X1)
| ~ q_2_3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s2_type22_4) ).
cnf(m_s2_type22_2,axiom,
( p_3_3(X1)
| ~ p_2_3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s2_type22_2) ).
cnf(m_s2_type21_2,axiom,
( q_1_1(X1)
| ~ q_1_2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s2_type21_2) ).
cnf(m_s2_type22_3,axiom,
( q_2_2(X1)
| ~ q_1_2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s2_type22_3) ).
cnf(m_s2_type21_1,axiom,
( p_1_1(X1)
| ~ p_1_2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s2_type21_1) ).
cnf(m_s2_type22_1,axiom,
( p_2_2(X1)
| ~ p_1_2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s2_type22_1) ).
cnf(m_s2_goal_1,negated_conjecture,
~ p_1_3(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_s2_goal_1) ).
cnf(sym_m_t2_6,axiom,
~ sym_q_3_3(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_t2_6) ).
cnf(sym_m_t2_5,axiom,
~ sym_p_3_3(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_t2_5) ).
cnf(sym_m_t2_2,axiom,
~ sym_q_1_1(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_t2_2) ).
cnf(sym_m_t2_4,axiom,
~ sym_q_2_2(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_t2_4) ).
cnf(sym_m_t2_1,axiom,
~ sym_p_1_1(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_t2_1) ).
cnf(sym_m_t2_3,axiom,
~ sym_p_2_2(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sym_m_t2_3) ).
cnf(m_t2_6,axiom,
q_3_3(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_t2_6) ).
cnf(m_t2_5,axiom,
p_3_3(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_t2_5) ).
cnf(m_t2_2,axiom,
q_1_1(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_t2_2) ).
cnf(m_t2_4,axiom,
q_2_2(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_t2_4) ).
cnf(m_t2_1,axiom,
p_1_1(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_t2_1) ).
cnf(m_t2_3,axiom,
p_2_2(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_t2_3) ).
cnf(i_0_50,axiom,
( sym_q_2_3(X1)
| sym_q_1_2(X1)
| ~ sym_p_1_3(X1) ),
sym_m_s2_type11_4 ).
cnf(i_0_51,axiom,
sym_p_1_3(X1),
sym_m_s2_goal_1 ).
cnf(i_0_52,axiom,
( sym_p_2_3(X1)
| sym_p_1_2(X1)
| ~ sym_p_1_3(X1) ),
sym_m_s2_type11_3 ).
cnf(i_0_53,axiom,
( q_1_3(X1)
| ~ p_2_3(X1)
| ~ q_1_2(X1) ),
m_s2_type12_3,
[final] ).
cnf(i_0_54,axiom,
( q_1_3(X1)
| ~ q_2_3(X1)
| ~ p_1_2(X1) ),
m_s2_type12_4,
[final] ).
cnf(i_0_55,axiom,
( q_1_2(X1)
| ~ q_2_2(X1)
| ~ p_1_1(X1) ),
m_s2_type12_2,
[final] ).
cnf(i_0_56,axiom,
( q_1_2(X1)
| ~ p_2_2(X1)
| ~ q_1_1(X1) ),
m_s2_type12_1,
[final] ).
cnf(i_0_57,axiom,
( q_2_3(X1)
| ~ p_3_3(X1)
| ~ q_2_2(X1) ),
m_s2_type12_5,
[final] ).
cnf(i_0_58,axiom,
( q_2_3(X1)
| ~ q_3_3(X1)
| ~ p_2_2(X1) ),
m_s2_type12_6,
[final] ).
cnf(i_0_59,axiom,
( p_2_3(X1)
| ~ q_3_3(X1)
| ~ q_2_2(X1) ),
m_s2_type11_6,
[final] ).
cnf(i_0_60,axiom,
( p_2_3(X1)
| ~ p_3_3(X1)
| ~ p_2_2(X1) ),
m_s2_type11_5,
[final] ).
cnf(i_0_61,axiom,
( p_1_2(X1)
| ~ q_2_2(X1)
| ~ q_1_1(X1) ),
m_s2_type11_2,
[final] ).
cnf(i_0_62,axiom,
( p_1_2(X1)
| ~ p_2_2(X1)
| ~ p_1_1(X1) ),
m_s2_type11_1,
[final] ).
cnf(i_0_63,axiom,
( p_1_3(X1)
| ~ q_2_3(X1)
| ~ q_1_2(X1) ),
m_s2_type11_4,
[final] ).
cnf(i_0_64,axiom,
( p_1_3(X1)
| ~ p_2_3(X1)
| ~ p_1_2(X1) ),
m_s2_type11_3,
[final] ).
cnf(i_0_65,axiom,
( sym_p_2_3(X1)
| sym_q_1_2(X1)
| ~ sym_q_1_3(X1) ),
sym_m_s2_type12_3,
[final] ).
cnf(i_0_66,axiom,
( sym_q_3_3(X1)
| sym_q_2_2(X1)
| ~ sym_p_2_3(X1) ),
sym_m_s2_type11_6,
[final] ).
cnf(i_0_67,axiom,
( sym_p_3_3(X1)
| sym_q_2_2(X1)
| ~ sym_q_2_3(X1) ),
sym_m_s2_type12_5,
[final] ).
cnf(i_0_68,axiom,
( sym_q_2_2(X1)
| sym_q_1_1(X1)
| ~ sym_p_1_2(X1) ),
sym_m_s2_type11_2,
[final] ).
cnf(i_0_69,axiom,
( sym_q_2_2(X1)
| sym_p_1_1(X1)
| ~ sym_q_1_2(X1) ),
sym_m_s2_type12_2,
[final] ).
cnf(i_0_70,axiom,
( sym_q_3_3(X1)
| sym_p_2_2(X1)
| ~ sym_q_2_3(X1) ),
sym_m_s2_type12_6,
[final] ).
cnf(i_0_71,axiom,
( sym_p_3_3(X1)
| sym_p_2_2(X1)
| ~ sym_p_2_3(X1) ),
sym_m_s2_type11_5,
[final] ).
cnf(i_0_72,axiom,
( sym_p_2_2(X1)
| sym_q_1_1(X1)
| ~ sym_q_1_2(X1) ),
sym_m_s2_type12_1,
[final] ).
cnf(i_0_73,axiom,
( sym_p_2_2(X1)
| sym_p_1_1(X1)
| ~ sym_p_1_2(X1) ),
sym_m_s2_type11_1,
[final] ).
cnf(i_0_74,axiom,
( sym_q_2_3(X1)
| sym_p_1_2(X1)
| ~ sym_q_1_3(X1) ),
sym_m_s2_type12_4,
[final] ).
cnf(i_0_75,axiom,
( sym_q_1_2(X1)
| ~ sym_q_1_1(X1) ),
sym_m_s2_type21_2,
[final] ).
cnf(i_0_76,axiom,
( sym_q_1_2(X1)
| ~ sym_q_2_2(X1) ),
sym_m_s2_type22_3,
[final] ).
cnf(i_0_77,axiom,
( sym_q_2_3(X1)
| ~ sym_q_3_3(X1) ),
sym_m_s2_type22_4,
[final] ).
cnf(i_0_78,axiom,
( sym_p_2_3(X1)
| ~ sym_p_3_3(X1) ),
sym_m_s2_type22_2,
[final] ).
cnf(i_0_79,axiom,
( sym_p_1_2(X1)
| ~ sym_p_1_1(X1) ),
sym_m_s2_type21_1,
[final] ).
cnf(i_0_80,axiom,
( sym_p_1_2(X1)
| ~ sym_p_2_2(X1) ),
sym_m_s2_type22_1,
[final] ).
cnf(i_0_81,axiom,
( q_3_3(X1)
| ~ q_2_3(X1) ),
m_s2_type22_4,
[final] ).
cnf(i_0_82,axiom,
( p_3_3(X1)
| ~ p_2_3(X1) ),
m_s2_type22_2,
[final] ).
cnf(i_0_83,axiom,
( q_1_1(X1)
| ~ q_1_2(X1) ),
m_s2_type21_2,
[final] ).
cnf(i_0_84,axiom,
( q_2_2(X1)
| ~ q_1_2(X1) ),
m_s2_type22_3,
[final] ).
cnf(i_0_85,axiom,
( p_1_1(X1)
| ~ p_1_2(X1) ),
m_s2_type21_1,
[final] ).
cnf(i_0_86,axiom,
( p_2_2(X1)
| ~ p_1_2(X1) ),
m_s2_type22_1,
[final] ).
cnf(i_0_87,plain,
( sym_q_2_3(X1)
| sym_q_1_2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[i_0_50,c_0_51])]),
[final] ).
cnf(i_0_88,plain,
( sym_p_1_2(X1)
| sym_p_2_3(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[i_0_52,c_0_51])]),
[final] ).
cnf(i_0_89,negated_conjecture,
~ p_1_3(X1),
m_s2_goal_1,
[final] ).
cnf(i_0_90,axiom,
~ sym_q_3_3(a),
sym_m_t2_6,
[final] ).
cnf(i_0_91,axiom,
~ sym_p_3_3(a),
sym_m_t2_5,
[final] ).
cnf(i_0_92,axiom,
~ sym_q_1_1(a),
sym_m_t2_2,
[final] ).
cnf(i_0_93,axiom,
~ sym_q_2_2(a),
sym_m_t2_4,
[final] ).
cnf(i_0_94,axiom,
~ sym_p_1_1(a),
sym_m_t2_1,
[final] ).
cnf(i_0_95,axiom,
~ sym_p_2_2(a),
sym_m_t2_3,
[final] ).
cnf(i_0_96,axiom,
q_3_3(a),
m_t2_6,
[final] ).
cnf(i_0_97,axiom,
p_3_3(a),
m_t2_5,
[final] ).
cnf(i_0_98,axiom,
q_1_1(a),
m_t2_2,
[final] ).
cnf(i_0_99,axiom,
q_2_2(a),
m_t2_4,
[final] ).
cnf(i_0_100,axiom,
p_1_1(a),
m_t2_1,
[final] ).
cnf(i_0_101,axiom,
p_2_2(a),
m_t2_3,
[final] ).
cnf(i_0_102,plain,
q_2_3(a),
inference(scs_inference,[],[i_0_97,i_0_99,i_0_57]) ).
cnf(i_0_103,plain,
( ~ p_3_3(X1)
| ~ q_2_2(X1)
| q_2_3(X1) ),
inference(rename_variables,[],[i_0_57]) ).
cnf(i_0_104,plain,
q_1_2(a),
inference(scs_inference,[],[i_0_97,i_0_99,i_0_100,i_0_57,i_0_55]) ).
cnf(i_0_105,plain,
( ~ q_2_2(X1)
| ~ p_1_1(X1)
| q_1_2(X1) ),
inference(rename_variables,[],[i_0_55]) ).
cnf(i_0_106,plain,
p_2_3(a),
inference(scs_inference,[],[i_0_96,i_0_97,i_0_99,i_0_100,i_0_57,i_0_55,i_0_59]) ).
cnf(i_0_107,plain,
( ~ q_3_3(X1)
| ~ q_2_2(X1)
| p_2_3(X1) ),
inference(rename_variables,[],[i_0_59]) ).
cnf(i_0_108,plain,
p_1_2(a),
inference(scs_inference,[],[i_0_96,i_0_97,i_0_98,i_0_99,i_0_100,i_0_57,i_0_55,i_0_59,i_0_61]) ).
cnf(i_0_109,plain,
( ~ q_2_2(X1)
| ~ q_1_1(X1)
| p_1_2(X1) ),
inference(rename_variables,[],[i_0_61]) ).
cnf(i_0_110,plain,
$false,
inference(scs_inference,[],[i_0_89,i_0_96,i_0_97,i_0_98,i_0_99,i_0_100,i_0_57,i_0_55,i_0_59,i_0_61,i_0_63]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN099-1.003 : TPTP v9.2.1. Bugfixed v1.2.1.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.32 % Computer : n023.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Tue May 5 08:14:23 EDT 2026
% 0.16/0.32 % CPUTime :
% 0.16/0.33 % start to proof: theBenchmark
% 0.25/1.61 % Version : CSE_E---1.7
% 0.25/1.61 % Problem : theBenchmark.p
% 0.25/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 0.25/1.61 % SZS output start CNFRefutation
% See solution above
% 0.25/1.64 % Total time : 1.271s
%------------------------------------------------------------------------------