%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN096-1.008 : 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 : n022.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 1.26s 1.71s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 31
% Syntax : Number of clauses : 91 ( 22 unt; 0 nHn; 91 RR)
% Number of literals : 230 ( 0 equ; 148 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 30 ( 29 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 69 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(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_type11_27,axiom,
( p_13(X1)
| ~ p_14(X1)
| ~ p_15(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_27) ).
cnf(m_t3_2,axiom,
p_15(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t3_2) ).
cnf(m_t3_1,axiom,
p_14(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t3_1) ).
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(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_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_type12_27,axiom,
( q_13(X1)
| ~ p_14(X1)
| ~ q_15(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_27) ).
cnf(m_t3_4,axiom,
q_15(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t3_4) ).
cnf(m_s3_type11_25,axiom,
( p_12(X1)
| ~ p_13(X1)
| ~ p_14(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_25) ).
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_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_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_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_25,axiom,
( q_12(X1)
| ~ p_13(X1)
| ~ q_14(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_25) ).
cnf(m_t3_3,axiom,
q_14(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t3_3) ).
cnf(m_s3_type12_23,axiom,
( q_11(X1)
| ~ p_12(X1)
| ~ q_13(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_23) ).
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_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_23,axiom,
( p_11(X1)
| ~ p_12(X1)
| ~ p_13(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_23) ).
cnf(m_s3_type11_22,axiom,
( p_10(X1)
| ~ q_11(X1)
| ~ q_12(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_22) ).
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_22,axiom,
( q_10(X1)
| ~ q_11(X1)
| ~ p_12(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_22) ).
cnf(m_s3_type11_19,axiom,
( p_9(X1)
| ~ p_10(X1)
| ~ p_11(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_19) ).
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_type12_19,axiom,
( q_9(X1)
| ~ p_10(X1)
| ~ q_11(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_19) ).
cnf(m_s3_type12_17,axiom,
( q_8(X1)
| ~ p_9(X1)
| ~ q_10(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_17) ).
cnf(m_s3_type11_17,axiom,
( p_8(X1)
| ~ p_9(X1)
| ~ p_10(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_17) ).
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(c_0_31,negated_conjecture,
( ~ p_0(X1)
| ~ q_0(X1) ),
m_s3_goal_1 ).
cnf(c_0_32,axiom,
( q_0(X1)
| ~ q_1(X1)
| ~ p_2(X1) ),
m_s3_type12_2 ).
cnf(c_0_33,axiom,
( p_13(X1)
| ~ p_14(X1)
| ~ p_15(X1) ),
m_s3_type11_27 ).
cnf(c_0_34,axiom,
p_15(a),
m_t3_2 ).
cnf(c_0_35,axiom,
p_14(a),
m_t3_1 ).
cnf(c_0_36,negated_conjecture,
( ~ q_1(X1)
| ~ p_2(X1)
| ~ p_0(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,axiom,
( p_0(X1)
| ~ p_1(X1)
| ~ p_2(X1) ),
m_s3_type11_1 ).
cnf(c_0_38,axiom,
( q_5(X1)
| ~ q_6(X1)
| ~ p_7(X1) ),
m_s3_type12_12 ).
cnf(c_0_39,axiom,
( q_6(X1)
| ~ p_7(X1)
| ~ q_8(X1) ),
m_s3_type12_13 ).
cnf(c_0_40,axiom,
( q_13(X1)
| ~ p_14(X1)
| ~ q_15(X1) ),
m_s3_type12_27 ).
cnf(c_0_41,axiom,
q_15(a),
m_t3_4 ).
cnf(c_0_42,axiom,
( p_12(X1)
| ~ p_13(X1)
| ~ p_14(X1) ),
m_s3_type11_25 ).
cnf(c_0_43,plain,
p_13(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).
cnf(c_0_44,negated_conjecture,
( ~ q_1(X1)
| ~ p_2(X1)
| ~ p_1(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_45,axiom,
( q_1(X1)
| ~ p_2(X1)
| ~ q_3(X1) ),
m_s3_type12_3 ).
cnf(c_0_46,axiom,
( p_4(X1)
| ~ q_5(X1)
| ~ q_6(X1) ),
m_s3_type11_10 ).
cnf(c_0_47,plain,
( q_5(X1)
| ~ q_8(X1)
| ~ p_7(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_48,axiom,
( p_4(X1)
| ~ p_5(X1)
| ~ p_6(X1) ),
m_s3_type11_9 ).
cnf(c_0_49,axiom,
( p_6(X1)
| ~ p_7(X1)
| ~ p_8(X1) ),
m_s3_type11_13 ).
cnf(c_0_50,axiom,
( p_5(X1)
| ~ p_6(X1)
| ~ p_7(X1) ),
m_s3_type11_11 ).
cnf(c_0_51,axiom,
( q_12(X1)
| ~ p_13(X1)
| ~ q_14(X1) ),
m_s3_type12_25 ).
cnf(c_0_52,axiom,
q_14(a),
m_t3_3 ).
cnf(c_0_53,axiom,
( q_11(X1)
| ~ p_12(X1)
| ~ q_13(X1) ),
m_s3_type12_23 ).
cnf(c_0_54,plain,
q_13(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_35])]) ).
cnf(c_0_55,plain,
p_12(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_35]),c_0_43])]) ).
cnf(c_0_56,negated_conjecture,
( ~ q_3(X1)
| ~ p_2(X1)
| ~ p_1(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_57,axiom,
( p_1(X1)
| ~ p_2(X1)
| ~ p_3(X1) ),
m_s3_type11_3 ).
cnf(c_0_58,axiom,
( q_3(X1)
| ~ p_4(X1)
| ~ q_5(X1) ),
m_s3_type12_7 ).
cnf(c_0_59,plain,
( p_4(X1)
| ~ q_8(X1)
| ~ p_7(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_39]),c_0_47]) ).
cnf(c_0_60,plain,
( p_4(X1)
| ~ p_8(X1)
| ~ p_7(X1)
| ~ p_5(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_61,plain,
( p_5(X1)
| ~ p_8(X1)
| ~ p_7(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_49]) ).
cnf(c_0_62,axiom,
( p_11(X1)
| ~ p_12(X1)
| ~ p_13(X1) ),
m_s3_type11_23 ).
cnf(c_0_63,axiom,
( p_10(X1)
| ~ q_11(X1)
| ~ q_12(X1) ),
m_s3_type11_22 ).
cnf(c_0_64,plain,
q_12(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_43])]) ).
cnf(c_0_65,plain,
q_11(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).
cnf(c_0_66,negated_conjecture,
( ~ q_3(X1)
| ~ p_3(X1)
| ~ p_2(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_67,plain,
( q_3(X1)
| ~ q_8(X1)
| ~ p_7(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_47]),c_0_59]) ).
cnf(c_0_68,axiom,
( p_3(X1)
| ~ p_4(X1)
| ~ p_5(X1) ),
m_s3_type11_7 ).
cnf(c_0_69,plain,
( p_4(X1)
| ~ p_8(X1)
| ~ p_7(X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_70,axiom,
( q_10(X1)
| ~ q_11(X1)
| ~ p_12(X1) ),
m_s3_type12_22 ).
cnf(c_0_71,axiom,
( p_9(X1)
| ~ p_10(X1)
| ~ p_11(X1) ),
m_s3_type11_19 ).
cnf(c_0_72,plain,
p_11(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_43]),c_0_55])]) ).
cnf(c_0_73,plain,
p_10(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]) ).
cnf(c_0_74,negated_conjecture,
( ~ q_8(X1)
| ~ p_7(X1)
| ~ p_3(X1)
| ~ p_2(X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_75,plain,
( p_3(X1)
| ~ p_8(X1)
| ~ p_7(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_61]),c_0_69]) ).
cnf(c_0_76,axiom,
( p_2(X1)
| ~ p_3(X1)
| ~ p_4(X1) ),
m_s3_type11_5 ).
cnf(c_0_77,axiom,
( q_9(X1)
| ~ p_10(X1)
| ~ q_11(X1) ),
m_s3_type12_19 ).
cnf(c_0_78,axiom,
( q_8(X1)
| ~ p_9(X1)
| ~ q_10(X1) ),
m_s3_type12_17 ).
cnf(c_0_79,plain,
q_10(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_55]),c_0_65])]) ).
cnf(c_0_80,plain,
p_9(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73])]) ).
cnf(c_0_81,negated_conjecture,
( ~ q_8(X1)
| ~ p_8(X1)
| ~ p_7(X1)
| ~ p_2(X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_82,plain,
( p_2(X1)
| ~ p_8(X1)
| ~ p_7(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_69]),c_0_75]) ).
cnf(c_0_83,axiom,
( p_8(X1)
| ~ p_9(X1)
| ~ p_10(X1) ),
m_s3_type11_17 ).
cnf(c_0_84,axiom,
( p_7(X1)
| ~ q_8(X1)
| ~ q_9(X1) ),
m_s3_type11_16 ).
cnf(c_0_85,plain,
q_9(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_65]),c_0_73])]) ).
cnf(c_0_86,plain,
q_8(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80])]) ).
cnf(c_0_87,negated_conjecture,
( ~ q_8(X1)
| ~ p_8(X1)
| ~ p_7(X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_88,plain,
p_8(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_73]),c_0_80])]) ).
cnf(c_0_89,plain,
p_7(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86])]) ).
cnf(c_0_90,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_86]),c_0_88]),c_0_89])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN096-1.008 : TPTP v9.2.1. Bugfixed v1.2.1.
% 0.00/0.11 % 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
% 0.13/0.32 % Computer : n022.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue May 5 08:13:21 EDT 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.33 % start to proof: theBenchmark
% 1.26/1.71 % Version : CSE_E---1.7
% 1.26/1.71 % Problem : theBenchmark.p
% 1.26/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.26/1.71 % SZS output start CNFRefutation
% See solution above
% 1.26/1.71 % Total time : 1.375s
%------------------------------------------------------------------------------