%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO249^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 : Wed Sep 30 08:42:38 AM UTC 2026
% Result : Theorem 0.19s 0.28s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO249^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n007.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Tue Sep 29 16:39:25 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.22 Running higher-order theorem proving
% 0.06/0.23 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.wXuNFCN0IW/E---3.1_3618581.p
% 0.19/0.28 % Version: 3.5.1-ho
% 0.19/0.28 % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.19/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.28 % Starting post_as_ho1 with 1500s (5) cores
% 0.19/0.28 % Starting post_as_ho12 with 300s (1) cores
% 0.19/0.28 % Starting new_ho_3 with 300s (1) cores
% 0.19/0.28 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.19/0.28 % post_as_ho12 with pid 3618595 completed with status 0
% 0.19/0.28 % Result found by post_as_ho12
% 0.19/0.28 % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.19/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.28 % Starting post_as_ho1 with 1500s (5) cores
% 0.19/0.28 % Starting post_as_ho12 with 300s (1) cores
% 0.19/0.28 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.19/0.28 % No SInE strategy applied
% 0.19/0.28 % Search class: HGUSF-FFSF21-MSSFFFNN
% 0.19/0.28 % partial match(3): HGUSF-FFSF21-SSSFFSBN
% 0.19/0.28 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.28 % Starting SubtermCWHack with 31s (1) cores
% 0.19/0.28 % SubtermCWHack with pid 3618598 completed with status 0
% 0.19/0.28 % Result found by SubtermCWHack
% 0.19/0.28 % Preprocessing class: HSMSSMSSSSSNSSA.
% 0.19/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.28 % Starting post_as_ho1 with 1500s (5) cores
% 0.19/0.28 % Starting post_as_ho12 with 300s (1) cores
% 0.19/0.28 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.19/0.28 % No SInE strategy applied
% 0.19/0.28 % Search class: HGUSF-FFSF21-MSSFFFNN
% 0.19/0.28 % partial match(3): HGUSF-FFSF21-SSSFFSBN
% 0.19/0.28 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.28 % Starting SubtermCWHack with 31s (1) cores
% 0.19/0.28 % Preprocessing time : 0.001 s
% 0.19/0.28
% 0.19/0.28 % Proof found!
% 0.19/0.28 % SZS status Theorem
% 0.19/0.28 % SZS output start CNFRefutation
% 0.19/0.28 thf(decl_23, type, cBIGPHI: $i > $i).
% 0.19/0.28 thf(decl_24, type, cHOM_FROM_HH_1: ($i > $i) > $o).
% 0.19/0.28 thf(decl_25, type, cPHI_2: $i > $i).
% 0.19/0.28 thf(decl_26, type, cHOM_FROM_SS_PRIME: ($i > $i) > $o).
% 0.19/0.28 thf(decl_27, type, cPHI_1: $i > $i).
% 0.19/0.28 thf(decl_28, type, cSS_PRIME: $i > $o).
% 0.19/0.28 thf(decl_29, type, el1: $i > ($i > $o) > $o).
% 0.19/0.28 thf(decl_30, type, cHH_1: $i > $o).
% 0.19/0.28 thf(decl_31, type, cBIGHI: $i > $i).
% 0.19/0.28 thf(decl_32, type, cHH_2: $i > $o).
% 0.19/0.28 thf(decl_33, type, cTIMES: $i > $i > $i).
% 0.19/0.28 thf(decl_34, type, epred1_0: $o).
% 0.19/0.28 thf(decl_35, type, esk1_1: ($i > $i) > $i).
% 0.19/0.28 thf(decl_36, type, esk2_1: ($i > $i) > $i).
% 0.19/0.28 thf(decl_37, type, esk3_0: $i).
% 0.19/0.28 thf(decl_38, type, esk4_0: $i).
% 0.19/0.28 thf(decl_39, type, esk5_1: $i > $i).
% 0.19/0.28 thf(cPROB757, conjecture, ((((((((((((((![X1:$i, X2:$i, X3:$i, X4:$i]:((((((((el1 @ X1 @ cHH_2)&(el1 @ X2 @ cHH_2))&(el1 @ X3 @ cHH_2))&(el1 @ X4 @ cHH_2))&((X1)=(X2)))&((X3)=(X4)))=>((cTIMES @ X1 @ X3)=(cTIMES @ X2 @ X4))))&![X1:$i, X2:$i]:((((el1 @ X1 @ cSS_PRIME)&(el1 @ X2 @ cSS_PRIME))=>(el1 @ (cTIMES @ X1 @ X2) @ cSS_PRIME))))&![X1:$i, X2:$i, X3:$i, X4:$i]:((((((((el1 @ X1 @ cHH_1)&(el1 @ X2 @ cHH_1))&(el1 @ X3 @ cHH_1))&(el1 @ X4 @ cHH_1))&((X1)=(X2)))&((X3)=(X4)))=>((cTIMES @ X1 @ X3)=(cTIMES @ X2 @ X4)))))&![X5:$i > $i]:(((cHOM_FROM_SS_PRIME @ X5)<=>![X6:$i, X7:$i]:((((el1 @ X6 @ cSS_PRIME)&(el1 @ X7 @ cSS_PRIME))=>((X5 @ (cTIMES @ X6 @ X7))=(cTIMES @ (X5 @ X6) @ (X5 @ X7))))))))&((cHOM_FROM_HH_1 @ cBIGPHI)<=>![X6:$i, X7:$i]:((((el1 @ X6 @ cHH_1)&(el1 @ X7 @ cHH_1))=>((cBIGPHI @ (cTIMES @ X6 @ X7))=(cTIMES @ (cBIGPHI @ X6) @ (cBIGPHI @ X7)))))))&![X6:$i, X7:$i]:((((el1 @ X6 @ cHH_1)&(el1 @ X7 @ cHH_1))=>(el1 @ (cTIMES @ X6 @ X7) @ cHH_1))))&![X6:$i]:(((el1 @ X6 @ cSS_PRIME)=>(el1 @ (cPHI_2 @ X6) @ cHH_2))))&![X6:$i]:(((el1 @ X6 @ cHH_1)=>(el1 @ (cBIGPHI @ X6) @ cHH_2))))&![X6:$i]:(((el1 @ X6 @ cSS_PRIME)=>(el1 @ (cPHI_1 @ X6) @ cHH_1))))&![X6:$i, X7:$i]:(((((el1 @ X6 @ cHH_1)&(el1 @ X7 @ cHH_1))&((X6)=(X7)))=>((cBIGHI @ X6)=(cBIGPHI @ X7)))))&![X6:$i]:(((el1 @ X6 @ cSS_PRIME)=>((cBIGPHI @ (cPHI_1 @ X6))=(cPHI_2 @ X6)))))&![X7:$i]:(((el1 @ X7 @ cHH_1)=>?[X6:$i]:(((el1 @ X6 @ cSS_PRIME)&((cPHI_1 @ X6)=(X7)))))))&(cHOM_FROM_SS_PRIME @ cPHI_1))&(cHOM_FROM_SS_PRIME @ cPHI_2))=>(cHOM_FROM_HH_1 @ cBIGPHI)), file('/export/starexec/sandbox/tmp/tmp.wXuNFCN0IW/E---3.1_3618581.p', cPROB757)).
% 0.19/0.28 thf(c_0_1, plain, ((epred1_0)<=>(((((((((((((![X1:$i, X2:$i, X3:$i, X4:$i]:((((((((el1 @ X1 @ cHH_2)&(el1 @ X2 @ cHH_2))&(el1 @ X3 @ cHH_2))&(el1 @ X4 @ cHH_2))&((X1)=(X2)))&((X3)=(X4)))=>((cTIMES @ X1 @ X3)=(cTIMES @ X2 @ X4))))&![X1:$i, X2:$i]:((((el1 @ X1 @ cSS_PRIME)&(el1 @ X2 @ cSS_PRIME))=>(el1 @ (cTIMES @ X1 @ X2) @ cSS_PRIME))))&![X1:$i, X2:$i, X3:$i, X4:$i]:((((((((el1 @ X1 @ cHH_1)&(el1 @ X2 @ cHH_1))&(el1 @ X3 @ cHH_1))&(el1 @ X4 @ cHH_1))&((X1)=(X2)))&((X3)=(X4)))=>((cTIMES @ X1 @ X3)=(cTIMES @ X2 @ X4)))))&![X5:$i > $i]:(((cHOM_FROM_SS_PRIME @ X5)<=>![X6:$i, X7:$i]:((((el1 @ X6 @ cSS_PRIME)&(el1 @ X7 @ cSS_PRIME))=>((X5 @ (cTIMES @ X6 @ X7))=(cTIMES @ (X5 @ X6) @ (X5 @ X7))))))))&((cHOM_FROM_HH_1 @ cBIGPHI)<=>![X6:$i, X7:$i]:((((el1 @ X6 @ cHH_1)&(el1 @ X7 @ cHH_1))=>((cBIGPHI @ (cTIMES @ X6 @ X7))=(cTIMES @ (cBIGPHI @ X6) @ (cBIGPHI @ X7)))))))&![X6:$i, X7:$i]:((((el1 @ X6 @ cHH_1)&(el1 @ X7 @ cHH_1))=>(el1 @ (cTIMES @ X6 @ X7) @ cHH_1))))&![X6:$i]:(((el1 @ X6 @ cSS_PRIME)=>(el1 @ (cPHI_2 @ X6) @ cHH_2))))&![X6:$i]:(((el1 @ X6 @ cHH_1)=>(el1 @ (cBIGPHI @ X6) @ cHH_2))))&![X6:$i]:(((el1 @ X6 @ cSS_PRIME)=>(el1 @ (cPHI_1 @ X6) @ cHH_1))))&![X6:$i, X7:$i]:(((((el1 @ X6 @ cHH_1)&(el1 @ X7 @ cHH_1))&((X6)=(X7)))=>((cBIGHI @ X6)=(cBIGPHI @ X7)))))&![X6:$i]:(((el1 @ X6 @ cSS_PRIME)=>((cBIGPHI @ (cPHI_1 @ X6))=(cPHI_2 @ X6)))))&![X7:$i]:(((el1 @ X7 @ cHH_1)=>?[X6:$i]:(((el1 @ X6 @ cSS_PRIME)&((cPHI_1 @ X6)=(X7)))))))&(cHOM_FROM_SS_PRIME @ cPHI_1))&(cHOM_FROM_SS_PRIME @ cPHI_2))), introduced(definition)).
% 0.19/0.28 thf(c_0_2, negated_conjecture, ~(((((((((((((((![X1:$i, X2:$i, X3:$i, X4:$i]:((((((((el1 @ X1 @ cHH_2)&(el1 @ X2 @ cHH_2))&(el1 @ X3 @ cHH_2))&(el1 @ X4 @ cHH_2))&((X1)=(X2)))&((X3)=(X4)))=>((cTIMES @ X1 @ X3)=(cTIMES @ X2 @ X4))))&![X1:$i, X2:$i]:((((el1 @ X1 @ cSS_PRIME)&(el1 @ X2 @ cSS_PRIME))=>(el1 @ (cTIMES @ X1 @ X2) @ cSS_PRIME))))&![X1:$i, X2:$i, X3:$i, X4:$i]:((((((((el1 @ X1 @ cHH_1)&(el1 @ X2 @ cHH_1))&(el1 @ X3 @ cHH_1))&(el1 @ X4 @ cHH_1))&((X1)=(X2)))&((X3)=(X4)))=>((cTIMES @ X1 @ X3)=(cTIMES @ X2 @ X4)))))&![X5:$i > $i]:(((cHOM_FROM_SS_PRIME @ X5)<=>![X6:$i, X7:$i]:((((el1 @ X6 @ cSS_PRIME)&(el1 @ X7 @ cSS_PRIME))=>((X5 @ (cTIMES @ X6 @ X7))=(cTIMES @ (X5 @ X6) @ (X5 @ X7))))))))&((cHOM_FROM_HH_1 @ cBIGPHI)<=>![X6:$i, X7:$i]:((((el1 @ X6 @ cHH_1)&(el1 @ X7 @ cHH_1))=>((cBIGPHI @ (cTIMES @ X6 @ X7))=(cTIMES @ (cBIGPHI @ X6) @ (cBIGPHI @ X7)))))))&![X6:$i, X7:$i]:((((el1 @ X6 @ cHH_1)&(el1 @ X7 @ cHH_1))=>(el1 @ (cTIMES @ X6 @ X7) @ cHH_1))))&![X6:$i]:(((el1 @ X6 @ cSS_PRIME)=>(el1 @ (cPHI_2 @ X6) @ cHH_2))))&![X6:$i]:(((el1 @ X6 @ cHH_1)=>(el1 @ (cBIGPHI @ X6) @ cHH_2))))&![X6:$i]:(((el1 @ X6 @ cSS_PRIME)=>(el1 @ (cPHI_1 @ X6) @ cHH_1))))&![X6:$i, X7:$i]:(((((el1 @ X6 @ cHH_1)&(el1 @ X7 @ cHH_1))&((X6)=(X7)))=>((cBIGHI @ X6)=(cBIGPHI @ X7)))))&![X6:$i]:(((el1 @ X6 @ cSS_PRIME)=>((cBIGPHI @ (cPHI_1 @ X6))=(cPHI_2 @ X6)))))&![X7:$i]:(((el1 @ X7 @ cHH_1)=>?[X6:$i]:(((el1 @ X6 @ cSS_PRIME)&((cPHI_1 @ X6)=(X7)))))))&(cHOM_FROM_SS_PRIME @ cPHI_1))&(cHOM_FROM_SS_PRIME @ cPHI_2))=>(cHOM_FROM_HH_1 @ cBIGPHI))), inference(assume_negation,[status(cth)],[cPROB757])).
% 0.19/0.28 thf(c_0_3, plain, ((epred1_0)=>(((((((((((((![X1:$i, X2:$i, X3:$i, X4:$i]:((((((((el1 @ X1 @ cHH_2)&(el1 @ X2 @ cHH_2))&(el1 @ X3 @ cHH_2))&(el1 @ X4 @ cHH_2))&((X1)=(X2)))&((X3)=(X4)))=>((cTIMES @ X1 @ X3)=(cTIMES @ X2 @ X4))))&![X1:$i, X2:$i]:((((el1 @ X1 @ cSS_PRIME)&(el1 @ X2 @ cSS_PRIME))=>(el1 @ (cTIMES @ X1 @ X2) @ cSS_PRIME))))&![X1:$i, X2:$i, X3:$i, X4:$i]:((((((((el1 @ X1 @ cHH_1)&(el1 @ X2 @ cHH_1))&(el1 @ X3 @ cHH_1))&(el1 @ X4 @ cHH_1))&((X1)=(X2)))&((X3)=(X4)))=>((cTIMES @ X1 @ X3)=(cTIMES @ X2 @ X4)))))&![X5:$i > $i]:(((cHOM_FROM_SS_PRIME @ X5)<=>![X6:$i, X7:$i]:((((el1 @ X6 @ cSS_PRIME)&(el1 @ X7 @ cSS_PRIME))=>((X5 @ (cTIMES @ X6 @ X7))=(cTIMES @ (X5 @ X6) @ (X5 @ X7))))))))&((cHOM_FROM_HH_1 @ cBIGPHI)<=>![X6:$i, X7:$i]:((((el1 @ X6 @ cHH_1)&(el1 @ X7 @ cHH_1))=>((cBIGPHI @ (cTIMES @ X6 @ X7))=(cTIMES @ (cBIGPHI @ X6) @ (cBIGPHI @ X7)))))))&![X6:$i, X7:$i]:((((el1 @ X6 @ cHH_1)&(el1 @ X7 @ cHH_1))=>(el1 @ (cTIMES @ X6 @ X7) @ cHH_1))))&![X6:$i]:(((el1 @ X6 @ cSS_PRIME)=>(el1 @ (cPHI_2 @ X6) @ cHH_2))))&![X6:$i]:(((el1 @ X6 @ cHH_1)=>(el1 @ (cBIGPHI @ X6) @ cHH_2))))&![X6:$i]:(((el1 @ X6 @ cSS_PRIME)=>(el1 @ (cPHI_1 @ X6) @ cHH_1))))&![X6:$i, X7:$i]:(((((el1 @ X6 @ cHH_1)&(el1 @ X7 @ cHH_1))&((X6)=(X7)))=>((cBIGHI @ X6)=(cBIGPHI @ X7)))))&![X6:$i]:(((el1 @ X6 @ cSS_PRIME)=>((cBIGPHI @ (cPHI_1 @ X6))=(cPHI_2 @ X6)))))&![X7:$i]:(((el1 @ X7 @ cHH_1)=>?[X6:$i]:(((el1 @ X6 @ cSS_PRIME)&((cPHI_1 @ X6)=(X7)))))))&(cHOM_FROM_SS_PRIME @ cPHI_1))&(cHOM_FROM_SS_PRIME @ cPHI_2))), inference(split_equiv,[status(thm)],[c_0_1])).
% 0.19/0.28 thf(c_0_4, negated_conjecture, ~(((epred1_0)=>(cHOM_FROM_HH_1 @ cBIGPHI))), inference(apply_def,[status(thm)],[c_0_2, c_0_1])).
% 0.19/0.28 thf(c_0_5, plain, ![X33:$i, X34:$i, X35:$i, X36:$i, X37:$i, X38:$i, X39:$i, X40:$i, X41:$i, X42:$i, X43:$i > $i, X44:$i, X45:$i, X46:$i > $i, X49:$i, X50:$i, X53:$i, X54:$i, X55:$i, X56:$i, X57:$i, X58:$i, X59:$i, X60:$i, X61:$i]:(((((((((((((((~(el1 @ X33 @ cHH_2)|~(el1 @ X34 @ cHH_2)|~(el1 @ X35 @ cHH_2)|~(el1 @ X36 @ cHH_2)|((X33)!=(X34))|((X35)!=(X36))|((cTIMES @ X33 @ X35)=(cTIMES @ X34 @ X36))|~(epred1_0))&(~(el1 @ X37 @ cSS_PRIME)|~(el1 @ X38 @ cSS_PRIME)|(el1 @ (cTIMES @ X37 @ X38) @ cSS_PRIME)|~(epred1_0)))&(~(el1 @ X39 @ cHH_1)|~(el1 @ X40 @ cHH_1)|~(el1 @ X41 @ cHH_1)|~(el1 @ X42 @ cHH_1)|((X39)!=(X40))|((X41)!=(X42))|((cTIMES @ X39 @ X41)=(cTIMES @ X40 @ X42))|~(epred1_0)))&((~(cHOM_FROM_SS_PRIME @ X43)|(~(el1 @ X44 @ cSS_PRIME)|~(el1 @ X45 @ cSS_PRIME)|((X43 @ (cTIMES @ X44 @ X45))=(cTIMES @ (X43 @ X44) @ (X43 @ X45))))|~(epred1_0))&((((el1 @ (esk1_1 @ X46) @ cSS_PRIME)|(cHOM_FROM_SS_PRIME @ X46)|~(epred1_0))&((el1 @ (esk2_1 @ X46) @ cSS_PRIME)|(cHOM_FROM_SS_PRIME @ X46)|~(epred1_0)))&(((X46 @ (cTIMES @ (esk1_1 @ X46) @ (esk2_1 @ X46)))!=(cTIMES @ (X46 @ (esk1_1 @ X46)) @ (X46 @ (esk2_1 @ X46))))|(cHOM_FROM_SS_PRIME @ X46)|~(epred1_0)))))&((~(cHOM_FROM_HH_1 @ cBIGPHI)|(~(el1 @ X49 @ cHH_1)|~(el1 @ X50 @ cHH_1)|((cBIGPHI @ (cTIMES @ X49 @ X50))=(cTIMES @ (cBIGPHI @ X49) @ (cBIGPHI @ X50))))|~(epred1_0))&((((el1 @ esk3_0 @ cHH_1)|(cHOM_FROM_HH_1 @ cBIGPHI)|~(epred1_0))&((el1 @ esk4_0 @ cHH_1)|(cHOM_FROM_HH_1 @ cBIGPHI)|~(epred1_0)))&(((cBIGPHI @ (cTIMES @ esk3_0 @ esk4_0))!=(cTIMES @ (cBIGPHI @ esk3_0) @ (cBIGPHI @ esk4_0)))|(cHOM_FROM_HH_1 @ cBIGPHI)|~(epred1_0)))))&(~(el1 @ X53 @ cHH_1)|~(el1 @ X54 @ cHH_1)|(el1 @ (cTIMES @ X53 @ X54) @ cHH_1)|~(epred1_0)))&(~(el1 @ X55 @ cSS_PRIME)|(el1 @ (cPHI_2 @ X55) @ cHH_2)|~(epred1_0)))&(~(el1 @ X56 @ cHH_1)|(el1 @ (cBIGPHI @ X56) @ cHH_2)|~(epred1_0)))&(~(el1 @ X57 @ cSS_PRIME)|(el1 @ (cPHI_1 @ X57) @ cHH_1)|~(epred1_0)))&(~(el1 @ X58 @ cHH_1)|~(el1 @ X59 @ cHH_1)|((X58)!=(X59))|((cBIGHI @ X58)=(cBIGPHI @ X59))|~(epred1_0)))&(~(el1 @ X60 @ cSS_PRIME)|((cBIGPHI @ (cPHI_1 @ X60))=(cPHI_2 @ X60))|~(epred1_0)))&(((el1 @ (esk5_1 @ X61) @ cSS_PRIME)|~(el1 @ X61 @ cHH_1)|~(epred1_0))&(((cPHI_1 @ (esk5_1 @ X61))=(X61))|~(el1 @ X61 @ cHH_1)|~(epred1_0))))&((cHOM_FROM_SS_PRIME @ cPHI_1)|~(epred1_0)))&((cHOM_FROM_SS_PRIME @ cPHI_2)|~(epred1_0)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])])])).
% 0.19/0.28 thf(c_0_6, negated_conjecture, ((epred1_0)&~(cHOM_FROM_HH_1 @ cBIGPHI)), inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])).
% 0.19/0.28 thf(c_0_7, plain, ![X1:$i]:((((cBIGPHI @ (cPHI_1 @ X1))=(cPHI_2 @ X1))|~((el1 @ X1 @ cSS_PRIME))|~((epred1_0)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.19/0.28 thf(c_0_8, negated_conjecture, (epred1_0), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.19/0.28 thf(c_0_9, plain, ![X1:$i]:((((cPHI_1 @ (esk5_1 @ X1))=(X1))|~((el1 @ X1 @ cHH_1))|~((epred1_0)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.19/0.28 thf(c_0_10, plain, ![X1:$i]:(((el1 @ (esk5_1 @ X1) @ cSS_PRIME)|~((el1 @ X1 @ cHH_1))|~((epred1_0)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.19/0.28 thf(c_0_11, plain, ![X1:$i, X5:$i > $i, X2:$i]:((((X5 @ (cTIMES @ X1 @ X2))=(cTIMES @ (X5 @ X1) @ (X5 @ X2)))|~((cHOM_FROM_SS_PRIME @ X5))|~((el1 @ X1 @ cSS_PRIME))|~((el1 @ X2 @ cSS_PRIME))|~((epred1_0)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.19/0.28 thf(c_0_12, plain, ((cHOM_FROM_SS_PRIME @ cPHI_1)|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.19/0.28 thf(c_0_13, plain, ![X1:$i]:((((cBIGPHI @ (cPHI_1 @ X1))=(cPHI_2 @ X1))|~((el1 @ X1 @ cSS_PRIME)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7, c_0_8])])).
% 0.19/0.28 thf(c_0_14, plain, ![X1:$i]:((((cPHI_1 @ (esk5_1 @ X1))=(X1))|~((el1 @ X1 @ cHH_1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9, c_0_8])])).
% 0.19/0.28 thf(c_0_15, plain, ![X1:$i]:(((el1 @ (esk5_1 @ X1) @ cSS_PRIME)|~((el1 @ X1 @ cHH_1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_8])])).
% 0.19/0.28 thf(c_0_16, plain, ((cHOM_FROM_SS_PRIME @ cPHI_2)|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.19/0.28 thf(c_0_17, plain, ![X1:$i, X2:$i, X5:$i > $i]:((((cTIMES @ (X5 @ X1) @ (X5 @ X2))=(X5 @ (cTIMES @ X1 @ X2)))|~((el1 @ X2 @ cSS_PRIME))|~((el1 @ X1 @ cSS_PRIME))|~((cHOM_FROM_SS_PRIME @ X5)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_8])])).
% 0.19/0.28 thf(c_0_18, plain, (cHOM_FROM_SS_PRIME @ cPHI_1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_8])])).
% 0.19/0.28 thf(c_0_19, plain, ![X1:$i]:((((cPHI_2 @ (esk5_1 @ X1))=(cBIGPHI @ X1))|~((el1 @ X1 @ cHH_1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_14]), c_0_15])).
% 0.19/0.28 thf(c_0_20, plain, (cHOM_FROM_SS_PRIME @ cPHI_2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_8])])).
% 0.19/0.28 thf(c_0_21, plain, ![X1:$i, X2:$i]:((((cPHI_1 @ (cTIMES @ X1 @ (esk5_1 @ X2)))=(cTIMES @ (cPHI_1 @ X1) @ X2))|~((el1 @ X1 @ cSS_PRIME))|~((el1 @ X2 @ cHH_1)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_14]), c_0_18])]), c_0_15])).
% 0.19/0.28 thf(c_0_22, plain, ![X1:$i, X2:$i]:((((cPHI_2 @ (cTIMES @ X1 @ (esk5_1 @ X2)))=(cTIMES @ (cPHI_2 @ X1) @ (cBIGPHI @ X2)))|~((el1 @ X1 @ cSS_PRIME))|~((el1 @ X2 @ cHH_1)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_19]), c_0_20])]), c_0_15])).
% 0.19/0.28 thf(c_0_23, plain, ![X1:$i, X2:$i]:((((cPHI_2 @ (cTIMES @ X1 @ (esk5_1 @ X2)))=(cBIGPHI @ (cTIMES @ (cPHI_1 @ X1) @ X2)))|~((el1 @ (cTIMES @ X1 @ (esk5_1 @ X2)) @ cSS_PRIME))|~((el1 @ X1 @ cSS_PRIME))|~((el1 @ X2 @ cHH_1)))), inference(spm,[status(thm)],[c_0_13, c_0_21])).
% 0.19/0.28 thf(c_0_24, plain, ![X1:$i, X2:$i]:(((el1 @ (cTIMES @ X1 @ X2) @ cSS_PRIME)|~((el1 @ X1 @ cSS_PRIME))|~((el1 @ X2 @ cSS_PRIME))|~((epred1_0)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.19/0.28 thf(c_0_25, plain, ![X1:$i, X2:$i]:((((cTIMES @ (cPHI_2 @ X1) @ (cBIGPHI @ X2))=(cBIGPHI @ (cTIMES @ (cPHI_1 @ X1) @ X2)))|~((el1 @ (cTIMES @ X1 @ (esk5_1 @ X2)) @ cSS_PRIME))|~((el1 @ X1 @ cSS_PRIME))|~((el1 @ X2 @ cHH_1)))), inference(spm,[status(thm)],[c_0_22, c_0_23])).
% 0.19/0.28 thf(c_0_26, plain, ![X2:$i, X1:$i]:(((el1 @ (cTIMES @ X1 @ X2) @ cSS_PRIME)|~((el1 @ X2 @ cSS_PRIME))|~((el1 @ X1 @ cSS_PRIME)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_8])])).
% 0.19/0.28 thf(c_0_27, plain, ![X1:$i, X2:$i]:((((cTIMES @ (cPHI_2 @ X1) @ (cBIGPHI @ X2))=(cBIGPHI @ (cTIMES @ (cPHI_1 @ X1) @ X2)))|~((el1 @ X1 @ cSS_PRIME))|~((el1 @ X2 @ cHH_1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_15])).
% 0.19/0.28 thf(c_0_28, plain, ((cHOM_FROM_HH_1 @ cBIGPHI)|((cBIGPHI @ (cTIMES @ esk3_0 @ esk4_0))!=(cTIMES @ (cBIGPHI @ esk3_0) @ (cBIGPHI @ esk4_0)))|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.19/0.28 thf(c_0_29, negated_conjecture, ~((cHOM_FROM_HH_1 @ cBIGPHI)), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.19/0.28 thf(c_0_30, plain, ![X2:$i, X1:$i]:((((cBIGPHI @ (cTIMES @ (cPHI_1 @ (esk5_1 @ X1)) @ X2))=(cTIMES @ (cBIGPHI @ X1) @ (cBIGPHI @ X2)))|~((el1 @ X2 @ cHH_1))|~((el1 @ X1 @ cHH_1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_19]), c_0_15])).
% 0.19/0.28 thf(c_0_31, plain, ((el1 @ esk4_0 @ cHH_1)|(cHOM_FROM_HH_1 @ cBIGPHI)|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.19/0.28 thf(c_0_32, plain, ((el1 @ esk3_0 @ cHH_1)|(cHOM_FROM_HH_1 @ cBIGPHI)|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.19/0.28 thf(c_0_33, plain, ((cTIMES @ (cBIGPHI @ esk3_0) @ (cBIGPHI @ esk4_0))!=(cBIGPHI @ (cTIMES @ esk3_0 @ esk4_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_8])]), c_0_29])).
% 0.19/0.28 thf(c_0_34, plain, ![X2:$i, X1:$i]:((((cTIMES @ (cBIGPHI @ X1) @ (cBIGPHI @ X2))=(cBIGPHI @ (cTIMES @ X1 @ X2)))|~((el1 @ X2 @ cHH_1))|~((el1 @ X1 @ cHH_1)))), inference(spm,[status(thm)],[c_0_30, c_0_14])).
% 0.19/0.28 thf(c_0_35, plain, (el1 @ esk4_0 @ cHH_1), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31, c_0_8])]), c_0_29])).
% 0.19/0.28 thf(c_0_36, plain, (el1 @ esk3_0 @ cHH_1), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32, c_0_8])]), c_0_29])).
% 0.19/0.28 thf(c_0_37, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_35]), c_0_36])]), ['proof']).
% 0.19/0.28 % SZS output end CNFRefutation
% 0.19/0.28 % Parsed axioms : 12
% 0.19/0.28 % Removed by relevancy pruning/SinE : 0
% 0.19/0.28 % Initial clauses : 34
% 0.19/0.28 % Removed in clause preprocessing : 13
% 0.19/0.28 % Initial clauses in saturation : 21
% 0.19/0.28 % Processed clauses : 119
% 0.19/0.28 % ...of these trivial : 0
% 0.19/0.28 % ...subsumed : 34
% 0.19/0.28 % ...remaining for further processing : 85
% 0.19/0.28 % Other redundant clauses eliminated : 1
% 0.19/0.28 % Clauses deleted for lack of memory : 0
% 0.19/0.28 % Backward-subsumed : 8
% 0.19/0.28 % Backward-rewritten : 0
% 0.19/0.28 % Generated clauses : 1002
% 0.19/0.28 % ...of the previous two non-redundant : 987
% 0.19/0.28 % ...aggressively subsumed : 0
% 0.19/0.28 % Contextual simplify-reflections : 20
% 0.19/0.28 % Paramodulations : 1001
% 0.19/0.28 % Factorizations : 0
% 0.19/0.28 % NegExts : 0
% 0.19/0.28 % Equation resolutions : 1
% 0.19/0.28 % Disequality decompositions : 0
% 0.19/0.28 % Total rewrite steps : 215
% 0.19/0.28 % ...of those cached : 210
% 0.19/0.28 % Propositional unsat checks : 0
% 0.19/0.28 % Propositional check models : 0
% 0.19/0.28 % Propositional check unsatisfiable : 0
% 0.19/0.28 % Propositional clauses : 0
% 0.19/0.28 % Propositional clauses after purity: 0
% 0.19/0.28 % Propositional unsat core size : 0
% 0.19/0.28 % Propositional preprocessing time : 0.000
% 0.19/0.28 % Propositional encoding time : 0.000
% 0.19/0.28 % Propositional solver time : 0.000
% 0.19/0.28 % Success case prop preproc time : 0.000
% 0.19/0.28 % Success case prop encoding time : 0.000
% 0.19/0.28 % Success case prop solver time : 0.000
% 0.19/0.28 % Current number of processed clauses : 76
% 0.19/0.28 % Positive orientable unit clauses : 5
% 0.19/0.28 % Positive unorientable unit clauses: 0
% 0.19/0.28 % Negative unit clauses : 2
% 0.19/0.28 % Non-unit-clauses : 69
% 0.19/0.28 % Current number of unprocessed clauses: 859
% 0.19/0.28 % ...number of literals in the above : 7548
% 0.19/0.28 % Current number of archived formulas : 0
% 0.19/0.28 % Current number of archived clauses : 8
% 0.19/0.28 % Clause-clause subsumption calls (NU) : 2818
% 0.19/0.28 % Rec. Clause-clause subsumption calls : 965
% 0.19/0.28 % Non-unit clause-clause subsumptions : 61
% 0.19/0.28 % Unit Clause-clause subsumption calls : 0
% 0.19/0.28 % Rewrite failures with RHS unbound : 0
% 0.19/0.28 % BW rewrite match attempts : 0
% 0.19/0.28 % BW rewrite match successes : 0
% 0.19/0.28 % Condensation attempts : 0
% 0.19/0.28 % Condensation successes : 0
% 0.19/0.28 % Termbank termtop insertions : 41118
% 0.19/0.28 % Search garbage collected termcells : 731
% 0.19/0.28
% 0.19/0.28 % -------------------------------------------------
% 0.19/0.28 % User time : 0.026 s
% 0.19/0.28 % System time : 0.003 s
% 0.19/0.28 % Total time : 0.029 s
% 0.19/0.28 % Maximum resident set size: 3652 pages
% 0.19/0.28
% 0.19/0.28 % -------------------------------------------------
% 0.19/0.28 % User time : 0.026 s
% 0.19/0.28 % System time : 0.009 s
% 0.19/0.28 % Total time : 0.035 s
% 0.19/0.28 % Maximum resident set size: 4864 pages
% 0.19/0.28 % E exiting
%------------------------------------------------------------------------------