%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN010-1.005.005 : TPTP v9.2.1. Released v1.0.0.
% 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 : n019.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 05:35:19 PM UTC 2026
% Result : Unsatisfiable 0.25s 1.62s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 27
% Syntax : Number of clauses : 76 ( 33 unt; 0 nHn; 76 RR)
% Number of literals : 290 ( 0 equ; 217 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 27 ( 26 usr; 27 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_22,negated_conjecture,
( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_22) ).
cnf(clause_21,negated_conjecture,
( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21) ).
cnf(clause_20,negated_conjecture,
( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).
cnf(clause_19,negated_conjecture,
( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19) ).
cnf(clause_18,negated_conjecture,
( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18) ).
cnf(clause_17,negated_conjecture,
( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).
cnf(clause_16,negated_conjecture,
( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
cnf(clause_15,negated_conjecture,
( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
cnf(clause_14,negated_conjecture,
( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
cnf(clause_13,negated_conjecture,
( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).
cnf(clause_12,negated_conjecture,
( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12) ).
cnf(clause_11,negated_conjecture,
( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
cnf(clause_10,negated_conjecture,
( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
cnf(clause_9,negated_conjecture,
( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
cnf(clause_8,negated_conjecture,
( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
cnf(clause_7,negated_conjecture,
( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
cnf(clause_6,negated_conjecture,
( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
cnf(clause_5,negated_conjecture,
( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_4,negated_conjecture,
( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_3,negated_conjecture,
( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_2,negated_conjecture,
( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4
| ~ p_1_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_1,negated_conjecture,
~ p_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_27,negated_conjecture,
p_5_5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_27) ).
cnf(clause_26,negated_conjecture,
p_5_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26) ).
cnf(clause_25,negated_conjecture,
p_5_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_25) ).
cnf(clause_24,negated_conjecture,
p_5_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_24) ).
cnf(clause_23,negated_conjecture,
p_5_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).
cnf(i_0_27,negated_conjecture,
( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
clause_22,
[final] ).
cnf(i_0_28,negated_conjecture,
( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
clause_21,
[final] ).
cnf(i_0_29,negated_conjecture,
( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
clause_20,
[final] ).
cnf(i_0_30,negated_conjecture,
( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
clause_19,
[final] ).
cnf(i_0_31,negated_conjecture,
( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
clause_18,
[final] ).
cnf(i_0_32,negated_conjecture,
( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
clause_17,
[final] ).
cnf(i_0_33,negated_conjecture,
( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
clause_16,
[final] ).
cnf(i_0_34,negated_conjecture,
( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
clause_15,
[final] ).
cnf(i_0_35,negated_conjecture,
( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
clause_14,
[final] ).
cnf(i_0_36,negated_conjecture,
( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
clause_13,
[final] ).
cnf(i_0_37,negated_conjecture,
( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
clause_12,
[final] ).
cnf(i_0_38,negated_conjecture,
( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
clause_11,
[final] ).
cnf(i_0_39,negated_conjecture,
( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
clause_10,
[final] ).
cnf(i_0_40,negated_conjecture,
( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
clause_9,
[final] ).
cnf(i_0_41,negated_conjecture,
( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
clause_8,
[final] ).
cnf(i_0_42,negated_conjecture,
( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
clause_7,
[final] ).
cnf(i_0_43,negated_conjecture,
( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
clause_6,
[final] ).
cnf(i_0_44,negated_conjecture,
( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
clause_5,
[final] ).
cnf(i_0_45,negated_conjecture,
( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
clause_4,
[final] ).
cnf(i_0_46,negated_conjecture,
( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
clause_3,
[final] ).
cnf(i_0_47,negated_conjecture,
( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4
| ~ p_1_5 ),
clause_2,
[final] ).
cnf(i_0_48,negated_conjecture,
~ p_0,
clause_1,
[final] ).
cnf(i_0_49,negated_conjecture,
p_5_5,
clause_27,
[final] ).
cnf(i_0_50,negated_conjecture,
p_5_4,
clause_26,
[final] ).
cnf(i_0_51,negated_conjecture,
p_5_3,
clause_25,
[final] ).
cnf(i_0_52,negated_conjecture,
p_5_2,
clause_24,
[final] ).
cnf(i_0_53,negated_conjecture,
p_5_1,
clause_23,
[final] ).
cnf(i_0_54,plain,
p_4_5,
inference(scs_inference,[],[i_0_53,i_0_52,i_0_51,i_0_50,i_0_49,i_0_27]) ).
cnf(i_0_55,plain,
p_4_4,
inference(scs_inference,[],[i_0_53,i_0_52,i_0_51,i_0_50,i_0_49,i_0_28]) ).
cnf(i_0_56,plain,
p_4_3,
inference(scs_inference,[],[i_0_53,i_0_52,i_0_51,i_0_50,i_0_49,i_0_29]) ).
cnf(i_0_57,plain,
p_4_2,
inference(scs_inference,[],[i_0_53,i_0_52,i_0_51,i_0_50,i_0_49,i_0_30]) ).
cnf(i_0_58,plain,
p_4_1,
inference(scs_inference,[],[i_0_53,i_0_52,i_0_51,i_0_50,i_0_49,i_0_31]) ).
cnf(i_0_59,plain,
( ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4
| ~ p_1_5 ),
inference(scs_inference,[],[i_0_48,i_0_47]) ).
cnf(i_0_60,plain,
p_3_5,
inference(scs_inference,[],[i_0_58,i_0_57,i_0_56,i_0_55,i_0_54,i_0_32]) ).
cnf(i_0_61,plain,
p_3_4,
inference(scs_inference,[],[i_0_58,i_0_57,i_0_56,i_0_55,i_0_54,i_0_33]) ).
cnf(i_0_62,plain,
p_3_3,
inference(scs_inference,[],[i_0_58,i_0_57,i_0_56,i_0_55,i_0_54,i_0_34]) ).
cnf(i_0_63,plain,
p_3_2,
inference(scs_inference,[],[i_0_58,i_0_57,i_0_56,i_0_55,i_0_54,i_0_35]) ).
cnf(i_0_64,plain,
p_3_1,
inference(scs_inference,[],[i_0_58,i_0_57,i_0_56,i_0_55,i_0_54,i_0_36]) ).
cnf(i_0_65,plain,
p_2_5,
inference(scs_inference,[],[i_0_64,i_0_63,i_0_62,i_0_61,i_0_60,i_0_37]) ).
cnf(i_0_66,plain,
p_2_4,
inference(scs_inference,[],[i_0_64,i_0_63,i_0_62,i_0_61,i_0_60,i_0_38]) ).
cnf(i_0_67,plain,
p_2_3,
inference(scs_inference,[],[i_0_64,i_0_63,i_0_62,i_0_61,i_0_60,i_0_39]) ).
cnf(i_0_68,plain,
p_2_2,
inference(scs_inference,[],[i_0_64,i_0_63,i_0_62,i_0_61,i_0_60,i_0_40]) ).
cnf(i_0_69,plain,
p_2_1,
inference(scs_inference,[],[i_0_64,i_0_63,i_0_62,i_0_61,i_0_60,i_0_41]) ).
cnf(i_0_70,plain,
p_1_5,
inference(scs_inference,[],[i_0_69,i_0_68,i_0_67,i_0_66,i_0_65,i_0_42]) ).
cnf(i_0_71,plain,
p_1_4,
inference(scs_inference,[],[i_0_69,i_0_68,i_0_67,i_0_66,i_0_65,i_0_43]) ).
cnf(i_0_72,plain,
p_1_3,
inference(scs_inference,[],[i_0_69,i_0_68,i_0_67,i_0_66,i_0_65,i_0_44]) ).
cnf(i_0_73,plain,
p_1_2,
inference(scs_inference,[],[i_0_69,i_0_68,i_0_67,i_0_66,i_0_65,i_0_45]) ).
cnf(i_0_74,plain,
p_1_1,
inference(scs_inference,[],[i_0_69,i_0_68,i_0_67,i_0_66,i_0_65,i_0_46]) ).
cnf(i_0_75,plain,
$false,
inference(scs_inference,[],[i_0_70,i_0_71,i_0_72,i_0_73,i_0_74,i_0_59]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN010-1.005.005 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12 % 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
% 0.16/0.33 % Computer : n019.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 08:04:29 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 0.25/1.62 % Version : CSE_E---1.7
% 0.25/1.62 % Problem : theBenchmark.p
% 0.25/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 0.25/1.62 % SZS output start CNFRefutation
% See solution above
% 0.25/1.70 % Total time : 1.272s
%------------------------------------------------------------------------------