%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ030-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:01:37 PM UTC 2026
% Result : Unsatisfiable 0.15s 15.49s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 33
% Syntax : Number of clauses : 130 ( 9 unt; 67 nHn; 130 RR)
% Number of literals : 392 ( 0 equ; 193 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 11 ( 10 usr; 11 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c6,hypothesis,
( ~ salt_mill
| ~ mustard_cole
| ~ mustard_lang ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6) ).
cnf(c36,hypothesis,
( ~ mustard_lang
| ~ salt_lang
| mustard_cole ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c36) ).
cnf(c29,hypothesis,
( ~ mustard_lang
| ~ salt_lang
| salt_mill ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c29) ).
cnf(c42,hypothesis,
( ~ salt_lang
| salt_barry
| mustard_lang ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c42) ).
cnf(c46,hypothesis,
( ~ salt_mill
| ~ salt_barry
| ~ mustard_barry
| ~ salt_cole ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c46) ).
cnf(c30,hypothesis,
( ~ mustard_barry
| ~ salt_barry
| salt_mill ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c30) ).
cnf(c33,hypothesis,
( ~ mustard_barry
| salt_lang
| salt_barry ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c33) ).
cnf(c41,hypothesis,
( ~ mustard_lang
| salt_barry
| salt_lang ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c41) ).
cnf(c52,hypothesis,
( ~ salt_barry
| ~ mustard_barry
| ~ salt_lang
| mustard_dix
| salt_dix ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c52) ).
cnf(c34,hypothesis,
( ~ salt_barry
| salt_lang
| mustard_barry ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c34) ).
cnf(prove_who_takes_what,negated_conjecture,
( ~ mustard_lang
| ~ salt_mill
| ~ salt_barry
| ~ mustard_barry
| mustard_mill
| mustard_dix
| salt_dix
| mustard_cole
| salt_cole
| salt_lang ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_who_takes_what) ).
cnf(c62,hypothesis,
( mustard_barry
| mustard_dix
| salt_dix ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c62) ).
cnf(c27,hypothesis,
( ~ mustard_cole
| mustard_mill
| salt_cole ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c27) ).
cnf(c25,hypothesis,
( ~ mustard_dix
| mustard_mill
| salt_dix ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c25) ).
cnf(c16,hypothesis,
( ~ salt_barry
| ~ salt_dix
| salt_cole ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c16) ).
cnf(c4,hypothesis,
( ~ salt_mill
| salt_lang
| salt_barry ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c4) ).
cnf(c59,hypothesis,
( mustard_dix
| mustard_lang
| salt_lang ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c59) ).
cnf(c1,hypothesis,
( ~ salt_mill
| mustard_lang
| mustard_barry ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1) ).
cnf(c61,hypothesis,
( salt_cole
| mustard_mill
| salt_mill ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c61) ).
cnf(c56,hypothesis,
( mustard_lang
| mustard_mill
| salt_mill ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c56) ).
cnf(c43,hypothesis,
( ~ mustard_cole
| salt_barry
| salt_cole ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c43) ).
cnf(c47,hypothesis,
( ~ mustard_mill
| ~ salt_cole
| mustard_barry
| salt_barry ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c47) ).
cnf(c57,hypothesis,
( mustard_lang
| mustard_cole
| salt_cole ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c57) ).
cnf(c5,hypothesis,
( ~ mustard_mill
| ~ mustard_cole
| ~ mustard_lang ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c5) ).
cnf(c15,hypothesis,
( ~ salt_barry
| ~ salt_dix
| mustard_cole ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c15) ).
cnf(c11,hypothesis,
( ~ mustard_mill
| ~ salt_lang
| ~ mustard_dix ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c11) ).
cnf(c17,hypothesis,
( ~ mustard_cole
| mustard_lang
| mustard_dix ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c17) ).
cnf(c19,hypothesis,
( ~ mustard_cole
| mustard_lang
| salt_dix ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c19) ).
cnf(c39,hypothesis,
( ~ salt_barry
| salt_cole
| mustard_barry ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c39) ).
cnf(c14,hypothesis,
( ~ mustard_barry
| ~ salt_dix
| salt_cole ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c14) ).
cnf(c21,hypothesis,
( ~ mustard_dix
| ~ mustard_barry
| mustard_mill ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c21) ).
cnf(c9,hypothesis,
( ~ mustard_mill
| ~ mustard_lang
| ~ mustard_dix ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c9) ).
cnf(c50,hypothesis,
( ~ mustard_mill
| mustard_dix
| salt_dix
| mustard_cole
| salt_cole ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c50) ).
cnf(c_0_33,hypothesis,
( ~ salt_mill
| ~ mustard_cole
| ~ mustard_lang ),
inference(fof_simplification,[status(thm)],[c6]) ).
cnf(c_0_34,hypothesis,
( ~ mustard_lang
| ~ salt_lang
| mustard_cole ),
inference(fof_simplification,[status(thm)],[c36]) ).
cnf(c_0_35,hypothesis,
( ~ mustard_lang
| ~ salt_lang
| salt_mill ),
inference(fof_simplification,[status(thm)],[c29]) ).
cnf(c_0_36,hypothesis,
( ~ salt_lang
| salt_barry
| mustard_lang ),
inference(fof_simplification,[status(thm)],[c42]) ).
cnf(c_0_37,hypothesis,
( ~ salt_mill
| ~ mustard_cole
| ~ mustard_lang ),
c_0_33 ).
cnf(c_0_38,hypothesis,
( ~ mustard_lang
| ~ salt_lang
| mustard_cole ),
c_0_34 ).
cnf(c_0_39,hypothesis,
( ~ mustard_lang
| ~ salt_lang
| salt_mill ),
c_0_35 ).
cnf(c_0_40,hypothesis,
( ~ salt_mill
| ~ salt_barry
| ~ mustard_barry
| ~ salt_cole ),
inference(fof_simplification,[status(thm)],[c46]) ).
cnf(c_0_41,hypothesis,
( ~ mustard_barry
| ~ salt_barry
| salt_mill ),
inference(fof_simplification,[status(thm)],[c30]) ).
cnf(c_0_42,hypothesis,
( ~ mustard_barry
| salt_lang
| salt_barry ),
inference(fof_simplification,[status(thm)],[c33]) ).
cnf(c_0_43,hypothesis,
( ~ salt_lang
| salt_barry
| mustard_lang ),
c_0_36 ).
cnf(c_0_44,hypothesis,
( ~ mustard_lang
| ~ salt_lang ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_45,hypothesis,
( ~ mustard_lang
| salt_barry
| salt_lang ),
inference(fof_simplification,[status(thm)],[c41]) ).
cnf(c_0_46,hypothesis,
( ~ salt_barry
| ~ mustard_barry
| ~ salt_lang
| mustard_dix
| salt_dix ),
inference(fof_simplification,[status(thm)],[c52]) ).
cnf(c_0_47,hypothesis,
( ~ salt_mill
| ~ salt_barry
| ~ mustard_barry
| ~ salt_cole ),
c_0_40 ).
cnf(c_0_48,hypothesis,
( ~ mustard_barry
| ~ salt_barry
| salt_mill ),
c_0_41 ).
cnf(c_0_49,hypothesis,
( ~ mustard_barry
| salt_lang
| salt_barry ),
c_0_42 ).
cnf(c_0_50,hypothesis,
( ~ salt_lang
| salt_barry ),
inference(csr,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_51,hypothesis,
( ~ salt_barry
| salt_lang
| mustard_barry ),
inference(fof_simplification,[status(thm)],[c34]) ).
cnf(c_0_52,hypothesis,
( ~ mustard_lang
| salt_barry
| salt_lang ),
c_0_45 ).
cnf(c_0_53,negated_conjecture,
( ~ mustard_lang
| ~ salt_mill
| ~ salt_barry
| ~ mustard_barry
| mustard_mill
| mustard_dix
| salt_dix
| mustard_cole
| salt_cole
| salt_lang ),
inference(fof_simplification,[status(thm)],[prove_who_takes_what]) ).
cnf(c_0_54,hypothesis,
( ~ salt_barry
| ~ mustard_barry
| ~ salt_lang
| mustard_dix
| salt_dix ),
c_0_46 ).
cnf(c_0_55,hypothesis,
( mustard_barry
| mustard_dix
| salt_dix ),
c62 ).
cnf(c_0_56,hypothesis,
( ~ mustard_cole
| mustard_mill
| salt_cole ),
inference(fof_simplification,[status(thm)],[c27]) ).
cnf(c_0_57,hypothesis,
( ~ mustard_dix
| mustard_mill
| salt_dix ),
inference(fof_simplification,[status(thm)],[c25]) ).
cnf(c_0_58,hypothesis,
( ~ salt_barry
| ~ salt_dix
| salt_cole ),
inference(fof_simplification,[status(thm)],[c16]) ).
cnf(c_0_59,hypothesis,
( ~ salt_mill
| salt_lang
| salt_barry ),
inference(fof_simplification,[status(thm)],[c4]) ).
cnf(c_0_60,hypothesis,
( ~ mustard_barry
| ~ salt_barry
| ~ salt_cole ),
inference(csr,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_61,hypothesis,
( ~ mustard_barry
| salt_barry ),
inference(csr,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_62,hypothesis,
( ~ salt_barry
| salt_lang
| mustard_barry ),
c_0_51 ).
cnf(c_0_63,hypothesis,
( ~ mustard_lang
| salt_barry ),
inference(csr,[status(thm)],[c_0_52,c_0_50]) ).
cnf(c_0_64,negated_conjecture,
( ~ mustard_lang
| ~ salt_mill
| ~ salt_barry
| ~ mustard_barry
| mustard_mill
| mustard_dix
| salt_dix
| mustard_cole
| salt_cole
| salt_lang ),
c_0_53 ).
cnf(c_0_65,hypothesis,
( mustard_dix
| mustard_lang
| salt_lang ),
c59 ).
cnf(c_0_66,hypothesis,
( ~ salt_lang
| ~ salt_barry
| mustard_dix
| salt_dix ),
inference(csr,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_67,hypothesis,
( ~ mustard_cole
| mustard_mill
| salt_cole ),
c_0_56 ).
cnf(c_0_68,hypothesis,
( ~ mustard_dix
| mustard_mill
| salt_dix ),
c_0_57 ).
cnf(c_0_69,hypothesis,
( ~ salt_barry
| ~ salt_dix
| salt_cole ),
c_0_58 ).
cnf(c_0_70,hypothesis,
( ~ salt_mill
| salt_lang
| salt_barry ),
c_0_59 ).
cnf(c_0_71,hypothesis,
( ~ salt_mill
| mustard_lang
| mustard_barry ),
inference(fof_simplification,[status(thm)],[c1]) ).
cnf(c_0_72,hypothesis,
( ~ mustard_barry
| ~ salt_cole ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_73,hypothesis,
( ~ mustard_lang
| mustard_barry ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_44]) ).
cnf(c_0_74,negated_conjecture,
( ~ salt_barry
| mustard_mill
| salt_cole ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_64,c_0_48]),c_0_55]),c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]) ).
cnf(c_0_75,hypothesis,
( ~ salt_mill
| salt_barry ),
inference(csr,[status(thm)],[c_0_70,c_0_50]) ).
cnf(c_0_76,hypothesis,
( salt_cole
| mustard_mill
| salt_mill ),
c61 ).
cnf(c_0_77,hypothesis,
( ~ salt_mill
| mustard_lang
| mustard_barry ),
c_0_71 ).
cnf(c_0_78,hypothesis,
( mustard_lang
| mustard_mill
| salt_mill ),
c56 ).
cnf(c_0_79,hypothesis,
( ~ mustard_lang
| ~ salt_cole ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_80,hypothesis,
( mustard_mill
| salt_cole ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).
cnf(c_0_81,hypothesis,
( ~ mustard_cole
| salt_barry
| salt_cole ),
inference(fof_simplification,[status(thm)],[c43]) ).
cnf(c_0_82,hypothesis,
( ~ mustard_mill
| ~ salt_cole
| mustard_barry
| salt_barry ),
inference(fof_simplification,[status(thm)],[c47]) ).
cnf(c_0_83,hypothesis,
( mustard_barry
| mustard_lang
| mustard_mill ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_84,hypothesis,
( ~ mustard_lang
| mustard_mill ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_85,hypothesis,
( ~ mustard_cole
| salt_barry
| salt_cole ),
c_0_81 ).
cnf(c_0_86,hypothesis,
( mustard_lang
| mustard_cole
| salt_cole ),
c57 ).
cnf(c_0_87,hypothesis,
( ~ mustard_mill
| ~ mustard_cole
| ~ mustard_lang ),
inference(fof_simplification,[status(thm)],[c5]) ).
cnf(c_0_88,hypothesis,
( ~ salt_barry
| ~ salt_dix
| mustard_cole ),
inference(fof_simplification,[status(thm)],[c15]) ).
cnf(c_0_89,hypothesis,
( ~ mustard_mill
| ~ salt_cole
| mustard_barry
| salt_barry ),
c_0_82 ).
cnf(c_0_90,hypothesis,
mustard_mill,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_83]),c_0_80]),c_0_84]) ).
cnf(c_0_91,hypothesis,
( salt_barry
| salt_cole ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_63]) ).
cnf(c_0_92,hypothesis,
( ~ mustard_mill
| ~ mustard_cole
| ~ mustard_lang ),
c_0_87 ).
cnf(c_0_93,hypothesis,
( ~ salt_barry
| ~ salt_dix
| mustard_cole ),
c_0_88 ).
cnf(c_0_94,hypothesis,
( ~ mustard_mill
| ~ salt_lang
| ~ mustard_dix ),
inference(fof_simplification,[status(thm)],[c11]) ).
cnf(c_0_95,hypothesis,
( ~ mustard_cole
| mustard_lang
| mustard_dix ),
inference(fof_simplification,[status(thm)],[c17]) ).
cnf(c_0_96,hypothesis,
salt_barry,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90])]),c_0_91]),c_0_61]) ).
cnf(c_0_97,hypothesis,
( ~ mustard_lang
| ~ salt_barry
| ~ mustard_mill
| ~ salt_dix ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_98,hypothesis,
( ~ mustard_mill
| ~ salt_lang
| ~ mustard_dix ),
c_0_94 ).
cnf(c_0_99,hypothesis,
( ~ mustard_cole
| mustard_lang
| salt_dix ),
inference(fof_simplification,[status(thm)],[c19]) ).
cnf(c_0_100,hypothesis,
( ~ salt_barry
| salt_cole
| mustard_barry ),
inference(fof_simplification,[status(thm)],[c39]) ).
cnf(c_0_101,hypothesis,
( ~ mustard_cole
| mustard_lang
| mustard_dix ),
c_0_95 ).
cnf(c_0_102,hypothesis,
( ~ salt_dix
| mustard_cole ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_96])]) ).
cnf(c_0_103,hypothesis,
( ~ mustard_lang
| ~ salt_dix ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_90])]),c_0_63]) ).
cnf(c_0_104,hypothesis,
( ~ salt_lang
| ~ mustard_dix ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_90])]) ).
cnf(c_0_105,hypothesis,
( mustard_barry
| salt_lang ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_96])]) ).
cnf(c_0_106,hypothesis,
( ~ mustard_barry
| ~ salt_dix
| salt_cole ),
inference(fof_simplification,[status(thm)],[c14]) ).
cnf(c_0_107,hypothesis,
( ~ mustard_cole
| mustard_lang
| salt_dix ),
c_0_99 ).
cnf(c_0_108,hypothesis,
( ~ salt_barry
| salt_cole
| mustard_barry ),
c_0_100 ).
cnf(c_0_109,hypothesis,
( ~ salt_dix
| mustard_dix ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).
cnf(c_0_110,hypothesis,
( ~ mustard_dix
| mustard_barry ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_111,hypothesis,
( ~ mustard_barry
| ~ salt_dix
| salt_cole ),
c_0_106 ).
cnf(c_0_112,hypothesis,
( mustard_lang
| salt_cole
| salt_dix ),
inference(spm,[status(thm)],[c_0_107,c_0_86]) ).
cnf(c_0_113,hypothesis,
( mustard_barry
| salt_cole ),
inference(spm,[status(thm)],[c_0_108,c_0_91]) ).
cnf(c_0_114,hypothesis,
mustard_barry,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_55]),c_0_110]) ).
cnf(c_0_115,hypothesis,
( ~ mustard_dix
| ~ mustard_barry
| mustard_mill ),
inference(fof_simplification,[status(thm)],[c21]) ).
cnf(c_0_116,hypothesis,
( ~ mustard_mill
| ~ mustard_lang
| ~ mustard_dix ),
inference(fof_simplification,[status(thm)],[c9]) ).
cnf(c_0_117,hypothesis,
( mustard_lang
| salt_cole ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]) ).
cnf(c_0_118,hypothesis,
~ salt_cole,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_114])]) ).
cnf(c_0_119,hypothesis,
( ~ mustard_dix
| ~ mustard_barry
| mustard_mill ),
c_0_115 ).
cnf(c_0_120,hypothesis,
( ~ mustard_mill
| ~ mustard_lang
| ~ mustard_dix ),
c_0_116 ).
cnf(c_0_121,hypothesis,
( ~ mustard_mill
| mustard_dix
| salt_dix
| mustard_cole
| salt_cole ),
inference(fof_simplification,[status(thm)],[c50]) ).
cnf(c_0_122,hypothesis,
mustard_lang,
inference(sr,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_123,hypothesis,
( ~ mustard_lang
| ~ mustard_dix ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_73]),c_0_120]) ).
cnf(c_0_124,hypothesis,
( ~ mustard_lang
| ~ mustard_cole ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_90])]) ).
cnf(c_0_125,hypothesis,
( ~ mustard_mill
| mustard_dix
| salt_dix
| mustard_cole
| salt_cole ),
c_0_121 ).
cnf(c_0_126,hypothesis,
~ salt_dix,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_122])]) ).
cnf(c_0_127,hypothesis,
~ mustard_dix,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_122])]) ).
cnf(c_0_128,hypothesis,
~ mustard_cole,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_122])]) ).
cnf(c_0_129,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_90])]),c_0_126]),c_0_127]),c_0_118]),c_0_128]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ030-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/15.42 % Computer : n002.cluster.edu
% 0.15/15.42 % Model : x86_64 x86_64
% 0.15/15.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/15.42 % Memory : 8046.5625MB
% 0.15/15.42 % OS : Linux 6.8.0-71-generic
% 0.15/15.42 % CPULimit : 300
% 0.15/15.42 % WCLimit : 300
% 0.15/15.42 % DateTime : Mon Sep 21 03:49:17 UTC 2026
% 0.15/15.43 % CPUTime :
% 0.15/15.43 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/15.47 Running first-order theorem proving
% 0.15/15.47 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/15.49 % Version: 3.5.1
% 0.15/15.49 % Preprocessing class: FSLSSLSSSSSNFFN.
% 0.15/15.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/15.49 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 1500s (5) cores
% 0.15/15.49 % Starting new_bool_3 with 300s (1) cores
% 0.15/15.49 % Starting new_bool_1 with 300s (1) cores
% 0.15/15.49 % Starting sh5l with 300s (1) cores
% 0.15/15.49 % H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with pid 2359701 completed with status 0
% 0.15/15.49 % Result found by H----_102_C18_F1_PI_AE_CS_SP_PS_S2S
% 0.15/15.49 % Preprocessing class: FSLSSLSSSSSNFFN.
% 0.15/15.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/15.49 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 1500s (5) cores
% 0.15/15.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/15.49 % No SInE strategy applied
% 0.15/15.49 % Search class: FGHNF-FFMM00-SFFFFFNN
% 0.15/15.49 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/15.49 % Starting SubtermCWHack with 136s (1) cores
% 0.15/15.49 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 151s (1) cores
% 0.15/15.49 % Starting H----_011_C07_F1_PI_AE_OS_R8_SP_S1U with 136s (1) cores
% 0.15/15.49 % Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 0.15/15.49 % Starting G-E--_208_B07--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.15/15.49 % G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 2359710 completed with status 0
% 0.15/15.49 % Result found by G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 0.15/15.49 % Preprocessing class: FSLSSLSSSSSNFFN.
% 0.15/15.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/15.49 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 1500s (5) cores
% 0.15/15.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/15.49 % No SInE strategy applied
% 0.15/15.49 % Search class: FGHNF-FFMM00-SFFFFFNN
% 0.15/15.49 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/15.49 % Starting SubtermCWHack with 136s (1) cores
% 0.15/15.49 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 151s (1) cores
% 0.15/15.49 % Starting H----_011_C07_F1_PI_AE_OS_R8_SP_S1U with 136s (1) cores
% 0.15/15.49 % Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 0.15/15.49 % Preprocessing time : 0.001 s
% 0.15/15.49 % Presaturation interreduction done
% 0.15/15.49
% 0.15/15.49 % Proof found!
% 0.15/15.49 % SZS status Unsatisfiable
% 0.15/15.49 % SZS output start CNFRefutation
% See solution above
% 0.15/15.50 % Parsed axioms : 63
% 0.15/15.50 % Removed by relevancy pruning/SinE : 0
% 0.15/15.50 % Initial clauses : 63
% 0.15/15.50 % Removed in clause preprocessing : 0
% 0.15/15.50 % Initial clauses in saturation : 63
% 0.15/15.50 % Processed clauses : 195
% 0.15/15.50 % ...of these trivial : 4
% 0.15/15.50 % ...subsumed : 23
% 0.15/15.50 % ...remaining for further processing : 167
% 0.15/15.50 % Other redundant clauses eliminated : 0
% 0.15/15.50 % Clauses deleted for lack of memory : 0
% 0.15/15.50 % Backward-subsumed : 61
% 0.15/15.50 % Backward-rewritten : 32
% 0.15/15.50 % Generated clauses : 176
% 0.15/15.50 % ...of the previous two non-redundant : 130
% 0.15/15.50 % ...aggressively subsumed : 0
% 0.15/15.50 % Contextual simplify-reflections : 32
% 0.15/15.50 % Paramodulations : 174
% 0.15/15.50 % Factorizations : 0
% 0.15/15.50 % NegExts : 0
% 0.15/15.50 % Equation resolutions : 0
% 0.15/15.50 % Disequality decompositions : 0
% 0.15/15.50 % Total rewrite steps : 41
% 0.15/15.50 % ...of those cached : 36
% 0.15/15.50 % Propositional unsat checks : 0
% 0.15/15.50 % Propositional check models : 0
% 0.15/15.50 % Propositional check unsatisfiable : 0
% 0.15/15.50 % Propositional clauses : 0
% 0.15/15.50 % Propositional clauses after purity: 0
% 0.15/15.50 % Propositional unsat core size : 0
% 0.15/15.50 % Propositional preprocessing time : 0.000
% 0.15/15.50 % Propositional encoding time : 0.000
% 0.15/15.50 % Propositional solver time : 0.000
% 0.15/15.50 % Success case prop preproc time : 0.000
% 0.15/15.50 % Success case prop encoding time : 0.000
% 0.15/15.50 % Success case prop solver time : 0.000
% 0.15/15.50 % Current number of processed clauses : 10
% 0.15/15.50 % Positive orientable unit clauses : 5
% 0.15/15.50 % Positive unorientable unit clauses: 0
% 0.15/15.50 % Negative unit clauses : 5
% 0.15/15.50 % Non-unit-clauses : 0
% 0.15/15.50 % Current number of unprocessed clauses: 3
% 0.15/15.50 % ...number of literals in the above : 15
% 0.15/15.50 % Current number of archived formulas : 0
% 0.15/15.50 % Current number of archived clauses : 157
% 0.15/15.50 % Clause-clause subsumption calls (NU) : 737
% 0.15/15.50 % Rec. Clause-clause subsumption calls : 349
% 0.15/15.50 % Non-unit clause-clause subsumptions : 93
% 0.15/15.50 % Unit Clause-clause subsumption calls : 41
% 0.15/15.50 % Rewrite failures with RHS unbound : 0
% 0.15/15.50 % BW rewrite match attempts : 5
% 0.15/15.50 % BW rewrite match successes : 5
% 0.15/15.50 % Condensation attempts : 0
% 0.15/15.50 % Condensation successes : 0
% 0.15/15.50 % Termbank termtop insertions : 3048
% 0.15/15.50 % Search garbage collected termcells : 100
% 0.15/15.50
% 0.15/15.50 % -------------------------------------------------
% 0.15/15.50 % User time : 0.005 s
% 0.15/15.50 % System time : 0.004 s
% 0.15/15.50 % Total time : 0.009 s
% 0.15/15.50 % Maximum resident set size: 3400 pages
% 0.15/15.50
% 0.15/15.50 % -------------------------------------------------
% 0.15/15.50 % User time : 0.025 s
% 0.15/15.50 % System time : 0.014 s
% 0.15/15.50 % Total time : 0.040 s
% 0.15/15.50 % Maximum resident set size: 4608 pages
% 0.15/15.50 % E exiting
%------------------------------------------------------------------------------