%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ092^5 : 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 : n004.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 08:20:33 AM UTC 2026
% Result : Theorem 0.10s 0.24s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ092^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n004.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Tue Sep 29 13:21:37 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running higher-order theorem proving
% 0.10/0.22 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.iSwQhyreaE/E---3.1_1262302.p
% 0.10/0.24 % Version: 3.5.1-ho
% 0.10/0.24 % Preprocessing class: HSMSSMSSSSSNFFN.
% 0.10/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.24 % Starting new_ho_10 with 1500s (5) cores
% 0.10/0.24 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.24 % Starting full_lambda_5 with 300s (1) cores
% 0.10/0.24 % Starting new_ho_10_unif with 300s (1) cores
% 0.10/0.24 % full_lambda_5 with pid 1262337 completed with status 0
% 0.10/0.24 % Result found by full_lambda_5
% 0.10/0.24 % Preprocessing class: HSMSSMSSSSSNFFN.
% 0.10/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.24 % Starting new_ho_10 with 1500s (5) cores
% 0.10/0.24 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.24 % Starting full_lambda_5 with 300s (1) cores
% 0.10/0.24 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.24 % No SInE strategy applied
% 0.10/0.24 % Search class: HGHSF-FFSM00-SFFFFFNN
% 0.10/0.24 % partial match(1): FGHSF-FFSM00-SFFFFFNN
% 0.10/0.24 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.24 % Starting SubtermCWHack with 28s (1) cores
% 0.10/0.24 % SubtermCWHack with pid 1262339 completed with status 0
% 0.10/0.24 % Result found by SubtermCWHack
% 0.10/0.24 % Preprocessing class: HSMSSMSSSSSNFFN.
% 0.10/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.24 % Starting new_ho_10 with 1500s (5) cores
% 0.10/0.24 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.24 % Starting full_lambda_5 with 300s (1) cores
% 0.10/0.24 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.24 % No SInE strategy applied
% 0.10/0.24 % Search class: HGHSF-FFSM00-SFFFFFNN
% 0.10/0.24 % partial match(1): FGHSF-FFSM00-SFFFFFNN
% 0.10/0.24 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.24 % Starting SubtermCWHack with 28s (1) cores
% 0.10/0.24 % Preprocessing time : 0.001 s
% 0.10/0.24
% 0.10/0.24 % Proof found!
% 0.10/0.24 % SZS status Theorem
% 0.10/0.24 % SZS output start CNFRefutation
% 0.10/0.24 thf(decl_23, type, epred1_12: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o).
% 0.10/0.24 thf(decl_24, type, esk1_0: $i).
% 0.10/0.24 thf(decl_25, type, esk2_0: $i).
% 0.10/0.24 thf(decl_26, type, esk3_0: $i).
% 0.10/0.24 thf(decl_27, type, esk4_0: $i).
% 0.10/0.24 thf(decl_28, type, esk5_0: $i).
% 0.10/0.24 thf(decl_29, type, esk6_0: $i).
% 0.10/0.24 thf(decl_30, type, esk7_0: $i).
% 0.10/0.24 thf(decl_31, type, esk8_0: $i).
% 0.10/0.24 thf(decl_32, type, esk9_0: $i).
% 0.10/0.24 thf(decl_33, type, esk10_0: $i).
% 0.10/0.24 thf(decl_34, type, esk11_0: $i).
% 0.10/0.24 thf(decl_35, type, esk12_0: $i).
% 0.10/0.24 thf(cSIXFRIENDS_EASIER, conjecture, ![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i, X7:$i, X8:$i, X9:$i, X10:$i, X11:$i, X12:$i]:((((((((((((X1)=(X2))&((X3)=(X4)))&((X9)=(X12)))=>((X5)=(X8)))&(((((X1)=(X2))&((X11)=(X12)))&((X3)=(X6)))=>((X7)!=(X10))))&((((((X5)=(X6))&((X7)=(X8)))&((X7)=(X5)))&((X1)!=(X4)))=>((X9)!=(X12))))&(((((X1)=(X2))&((X7)=(X8)))&((X3)!=(X6)))=>((X9)=(X12))))&(((((X9)=(X10))&((X11)=(X12)))&((X5)=(X8)))=>((X1)!=(X4))))&((((((X3)=(X4))&((X5)=(X6)))&((X5)=(X3)))&((X9)!=(X12)))=>((X7)=(X10))))=>(((X1)!=(X2))|((X3)!=(X4))|((X5)!=(X6))|((X7)!=(X8))|((X9)!=(X10))|((X11)!=(X12))))), file('/export/starexec/sandbox/tmp/tmp.iSwQhyreaE/E---3.1_1262302.p', cSIXFRIENDS_EASIER)).
% 0.10/0.24 thf(c_0_1, plain, ![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i, X7:$i, X8:$i, X9:$i, X12:$i, X11:$i, X10:$i]:(((epred1_12 @ X10 @ X11 @ X12 @ X7 @ X9 @ X8 @ X6 @ X4 @ X5 @ X3 @ X1 @ X2)<=>((((((((((X1)=(X2))&((X3)=(X4)))&((X9)=(X12)))=>((X5)=(X8)))&(((((X1)=(X2))&((X11)=(X12)))&((X3)=(X6)))=>((X7)!=(X10))))&((((((X5)=(X6))&((X7)=(X8)))&((X7)=(X5)))&((X1)!=(X4)))=>((X9)!=(X12))))&(((((X1)=(X2))&((X7)=(X8)))&((X3)!=(X6)))=>((X9)=(X12))))&(((((X9)=(X10))&((X11)=(X12)))&((X5)=(X8)))=>((X1)!=(X4))))&((((((X3)=(X4))&((X5)=(X6)))&((X5)=(X3)))&((X9)!=(X12)))=>((X7)=(X10)))))), introduced(definition)).
% 0.10/0.24 thf(c_0_2, negated_conjecture, ~(![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i, X7:$i, X8:$i, X9:$i, X10:$i, X11:$i, X12:$i]:((((((((((((X1)=(X2))&((X3)=(X4)))&((X9)=(X12)))=>((X5)=(X8)))&(((((X1)=(X2))&((X11)=(X12)))&((X3)=(X6)))=>((X7)!=(X10))))&((((((X5)=(X6))&((X7)=(X8)))&((X7)=(X5)))&((X1)!=(X4)))=>((X9)!=(X12))))&(((((X1)=(X2))&((X7)=(X8)))&((X3)!=(X6)))=>((X9)=(X12))))&(((((X9)=(X10))&((X11)=(X12)))&((X5)=(X8)))=>((X1)!=(X4))))&((((((X3)=(X4))&((X5)=(X6)))&((X5)=(X3)))&((X9)!=(X12)))=>((X7)=(X10))))=>(((X1)!=(X2))|((X3)!=(X4))|((X5)!=(X6))|((X7)!=(X8))|((X9)!=(X10))|((X11)!=(X12)))))), inference(assume_negation,[status(cth)],[cSIXFRIENDS_EASIER])).
% 0.10/0.24 thf(c_0_3, plain, ![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i, X7:$i, X8:$i, X9:$i, X12:$i, X11:$i, X10:$i]:(((epred1_12 @ X10 @ X11 @ X12 @ X7 @ X9 @ X8 @ X6 @ X4 @ X5 @ X3 @ X1 @ X2)=>((((((((((X1)=(X2))&((X3)=(X4)))&((X9)=(X12)))=>((X5)=(X8)))&(((((X1)=(X2))&((X11)=(X12)))&((X3)=(X6)))=>((X7)!=(X10))))&((((((X5)=(X6))&((X7)=(X8)))&((X7)=(X5)))&((X1)!=(X4)))=>((X9)!=(X12))))&(((((X1)=(X2))&((X7)=(X8)))&((X3)!=(X6)))=>((X9)=(X12))))&(((((X9)=(X10))&((X11)=(X12)))&((X5)=(X8)))=>((X1)!=(X4))))&((((((X3)=(X4))&((X5)=(X6)))&((X5)=(X3)))&((X9)!=(X12)))=>((X7)=(X10)))))), inference(split_equiv,[status(thm)],[c_0_1])).
% 0.10/0.24 thf(c_0_4, negated_conjecture, ~(![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i, X7:$i, X8:$i, X9:$i, X10:$i, X11:$i, X12:$i]:(((epred1_12 @ X10 @ X11 @ X12 @ X7 @ X9 @ X8 @ X6 @ X4 @ X5 @ X3 @ X1 @ X2)=>(((X1)!=(X2))|((X3)!=(X4))|((X5)!=(X6))|((X7)!=(X8))|((X9)!=(X10))|((X11)!=(X12)))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_2]), c_0_1])).
% 0.10/0.24 thf(c_0_5, plain, ![X37:$i, X38:$i, X39:$i, X40:$i, X41:$i, X42:$i, X43:$i, X44:$i, X45:$i, X46:$i, X47:$i, X48:$i]:(((((((((X37)!=(X38))|((X39)!=(X40))|((X45)!=(X46))|((X41)=(X44))|~(epred1_12 @ X48 @ X47 @ X46 @ X43 @ X45 @ X44 @ X42 @ X40 @ X41 @ X39 @ X37 @ X38))&(((X37)!=(X38))|((X47)!=(X46))|((X39)!=(X42))|((X43)!=(X48))|~(epred1_12 @ X48 @ X47 @ X46 @ X43 @ X45 @ X44 @ X42 @ X40 @ X41 @ X39 @ X37 @ X38)))&(((X41)!=(X42))|((X43)!=(X44))|((X43)!=(X41))|((X37)=(X40))|((X45)!=(X46))|~(epred1_12 @ X48 @ X47 @ X46 @ X43 @ X45 @ X44 @ X42 @ X40 @ X41 @ X39 @ X37 @ X38)))&(((X37)!=(X38))|((X43)!=(X44))|((X39)=(X42))|((X45)=(X46))|~(epred1_12 @ X48 @ X47 @ X46 @ X43 @ X45 @ X44 @ X42 @ X40 @ X41 @ X39 @ X37 @ X38)))&(((X45)!=(X48))|((X47)!=(X46))|((X41)!=(X44))|((X37)!=(X40))|~(epred1_12 @ X48 @ X47 @ X46 @ X43 @ X45 @ X44 @ X42 @ X40 @ X41 @ X39 @ X37 @ X38)))&(((X39)!=(X40))|((X41)!=(X42))|((X41)!=(X39))|((X45)=(X46))|((X43)=(X48))|~(epred1_12 @ X48 @ X47 @ X46 @ X43 @ X45 @ X44 @ X42 @ X40 @ X41 @ X39 @ X37 @ X38)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])).
% 0.10/0.24 thf(c_0_6, negated_conjecture, ((epred1_12 @ esk10_0 @ esk11_0 @ esk12_0 @ esk7_0 @ esk9_0 @ esk8_0 @ esk6_0 @ esk4_0 @ esk5_0 @ esk3_0 @ esk1_0 @ esk2_0)&(((((((esk1_0)=(esk2_0))&((esk3_0)=(esk4_0)))&((esk5_0)=(esk6_0)))&((esk7_0)=(esk8_0)))&((esk9_0)=(esk10_0)))&((esk11_0)=(esk12_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])).
% 0.10/0.24 thf(c_0_7, plain, ![X1:$i, X3:$i, X6:$i, X8:$i, X9:$i, X10:$i, X7:$i, X12:$i, X11:$i, X5:$i, X4:$i, X2:$i]:((((X5)=(X6))|((X7)=(X8))|((X1)!=(X2))|((X3)!=(X4))|~((epred1_12 @ X9 @ X10 @ X8 @ X3 @ X7 @ X4 @ X6 @ X11 @ X12 @ X5 @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.10/0.24 thf(c_0_8, negated_conjecture, (epred1_12 @ esk10_0 @ esk11_0 @ esk12_0 @ esk7_0 @ esk9_0 @ esk8_0 @ esk6_0 @ esk4_0 @ esk5_0 @ esk3_0 @ esk1_0 @ esk2_0), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.10/0.24 thf(c_0_9, negated_conjecture, ((esk11_0)=(esk12_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.10/0.24 thf(c_0_10, negated_conjecture, ((esk7_0)=(esk8_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.10/0.24 thf(c_0_11, negated_conjecture, ((esk9_0)=(esk10_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.10/0.24 thf(c_0_12, negated_conjecture, ((esk5_0)=(esk6_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.10/0.24 thf(c_0_13, negated_conjecture, ((esk3_0)=(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.10/0.24 thf(c_0_14, negated_conjecture, ((esk1_0)=(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
% 0.10/0.24 thf(c_0_15, plain, ![X1:$i, X2:$i, X5:$i, X4:$i, X7:$i, X6:$i, X3:$i, X8:$i, X9:$i, X10:$i]:((((X1)=(X2))|((X3)=(X4))|~((epred1_12 @ X5 @ X6 @ X2 @ X7 @ X1 @ X7 @ X4 @ X8 @ X9 @ X3 @ X10 @ X10)))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_7])])).
% 0.10/0.24 thf(c_0_16, negated_conjecture, (epred1_12 @ esk10_0 @ esk12_0 @ esk12_0 @ esk8_0 @ esk10_0 @ esk8_0 @ esk6_0 @ esk4_0 @ esk6_0 @ esk4_0 @ esk1_0 @ esk1_0), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8, c_0_9]), c_0_10]), c_0_11]), c_0_12]), c_0_13]), c_0_14])).
% 0.10/0.24 thf(c_0_17, plain, ![X1:$i, X5:$i, X6:$i, X9:$i, X10:$i, X12:$i, X11:$i, X8:$i, X7:$i, X4:$i, X3:$i, X2:$i]:((((X7)=(X8))|((X1)!=(X2))|((X3)!=(X4))|((X5)!=(X6))|~((epred1_12 @ X9 @ X10 @ X6 @ X11 @ X5 @ X8 @ X12 @ X4 @ X7 @ X3 @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.10/0.24 thf(c_0_18, negated_conjecture, (((esk6_0)=(esk4_0))|((esk12_0)=(esk10_0))), inference(spm,[status(thm)],[c_0_15, c_0_16])).
% 0.10/0.24 thf(c_0_19, plain, ![X3:$i, X2:$i, X5:$i, X6:$i, X4:$i, X1:$i, X7:$i, X8:$i, X9:$i]:((((X1)=(X2))|~((epred1_12 @ X3 @ X4 @ X5 @ X6 @ X5 @ X2 @ X7 @ X8 @ X1 @ X8 @ X9 @ X9)))), inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_17])])])).
% 0.10/0.24 thf(c_0_20, negated_conjecture, (((esk6_0)=(esk4_0))|(epred1_12 @ esk10_0 @ esk10_0 @ esk10_0 @ esk8_0 @ esk10_0 @ esk8_0 @ esk6_0 @ esk4_0 @ esk6_0 @ esk4_0 @ esk1_0 @ esk1_0)), inference(spm,[status(thm)],[c_0_16, c_0_18])).
% 0.10/0.24 thf(c_0_21, plain, ![X2:$i, X1:$i, X4:$i, X3:$i, X8:$i, X9:$i, X7:$i, X6:$i, X5:$i, X10:$i, X11:$i, X12:$i]:((((X5)=(X6))|((X1)!=(X2))|((X3)!=(X4))|((X3)!=(X1))|((X7)!=(X8))|~((epred1_12 @ X9 @ X10 @ X8 @ X3 @ X7 @ X4 @ X2 @ X6 @ X1 @ X11 @ X5 @ X12)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.10/0.24 thf(c_0_22, negated_conjecture, (((esk6_0)=(esk4_0))|((esk8_0)=(esk6_0))), inference(spm,[status(thm)],[c_0_19, c_0_20])).
% 0.10/0.24 thf(c_0_23, plain, ![X4:$i, X3:$i, X5:$i, X2:$i, X1:$i, X6:$i, X7:$i, X8:$i]:((((X1)=(X2))|~((epred1_12 @ X3 @ X4 @ X5 @ X6 @ X5 @ X6 @ X6 @ X2 @ X6 @ X7 @ X1 @ X8)))), inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_21])])])])).
% 0.10/0.24 thf(c_0_24, negated_conjecture, (((esk6_0)=(esk4_0))|(epred1_12 @ esk10_0 @ esk10_0 @ esk10_0 @ esk6_0 @ esk10_0 @ esk6_0 @ esk6_0 @ esk4_0 @ esk6_0 @ esk4_0 @ esk1_0 @ esk1_0)), inference(spm,[status(thm)],[c_0_20, c_0_22])).
% 0.10/0.24 thf(c_0_25, plain, ![X1:$i, X3:$i, X7:$i, X8:$i, X6:$i, X5:$i, X9:$i, X4:$i, X2:$i, X10:$i, X11:$i, X12:$i]:((((X5)=(X6))|((X7)=(X8))|((X1)!=(X2))|((X3)!=(X4))|((X3)!=(X1))|~((epred1_12 @ X8 @ X9 @ X6 @ X7 @ X5 @ X10 @ X4 @ X2 @ X3 @ X1 @ X11 @ X12)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.10/0.24 thf(c_0_26, negated_conjecture, (((esk6_0)=(esk4_0))|((esk4_0)=(esk1_0))), inference(spm,[status(thm)],[c_0_23, c_0_24])).
% 0.10/0.24 thf(c_0_27, plain, ![X2:$i, X1:$i, X3:$i, X4:$i, X5:$i, X6:$i, X7:$i, X8:$i, X9:$i]:((((X1)=(X2))|((X3)=(X4))|~((epred1_12 @ X2 @ X5 @ X4 @ X1 @ X3 @ X6 @ X7 @ X7 @ X7 @ X7 @ X8 @ X9)))), inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_25])])])).
% 0.10/0.24 thf(c_0_28, negated_conjecture, (((esk4_0)=(esk1_0))|(epred1_12 @ esk10_0 @ esk12_0 @ esk12_0 @ esk8_0 @ esk10_0 @ esk8_0 @ esk4_0 @ esk4_0 @ esk4_0 @ esk4_0 @ esk1_0 @ esk1_0)), inference(spm,[status(thm)],[c_0_16, c_0_26])).
% 0.10/0.24 thf(c_0_29, plain, (((esk4_0)=(esk1_0))|((esk12_0)=(esk10_0))|((esk10_0)=(esk8_0))), inference(spm,[status(thm)],[c_0_27, c_0_28])).
% 0.10/0.24 thf(c_0_30, negated_conjecture, (((esk10_0)=(esk8_0))|((esk4_0)=(esk1_0))|(epred1_12 @ esk10_0 @ esk10_0 @ esk10_0 @ esk8_0 @ esk10_0 @ esk8_0 @ esk6_0 @ esk4_0 @ esk6_0 @ esk4_0 @ esk1_0 @ esk1_0)), inference(spm,[status(thm)],[c_0_16, c_0_29])).
% 0.10/0.24 thf(c_0_31, plain, ![X1:$i, X3:$i, X8:$i, X7:$i, X6:$i, X10:$i, X9:$i, X12:$i, X11:$i, X5:$i, X4:$i, X2:$i]:((((X1)!=(X2))|((X3)!=(X4))|((X5)!=(X6))|((X7)!=(X8))|~((epred1_12 @ X8 @ X3 @ X4 @ X7 @ X9 @ X10 @ X6 @ X11 @ X12 @ X5 @ X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.10/0.24 thf(c_0_32, plain, (((esk4_0)=(esk1_0))|((esk10_0)=(esk8_0))|((esk8_0)=(esk6_0))), inference(spm,[status(thm)],[c_0_19, c_0_30])).
% 0.10/0.24 thf(c_0_33, plain, ![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i, X7:$i, X8:$i]:(~((epred1_12 @ X1 @ X2 @ X2 @ X1 @ X3 @ X4 @ X5 @ X6 @ X7 @ X5 @ X8 @ X8))), inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_31])])])])).
% 0.10/0.24 thf(c_0_34, negated_conjecture, (((esk8_0)=(esk6_0))|((esk4_0)=(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_32]), c_0_33])).
% 0.10/0.24 thf(c_0_35, negated_conjecture, (((esk4_0)=(esk1_0))|(epred1_12 @ esk10_0 @ esk12_0 @ esk12_0 @ esk6_0 @ esk10_0 @ esk6_0 @ esk4_0 @ esk4_0 @ esk4_0 @ esk4_0 @ esk1_0 @ esk1_0)), inference(spm,[status(thm)],[c_0_28, c_0_34])).
% 0.10/0.24 thf(c_0_36, negated_conjecture, (((esk4_0)=(esk1_0))|((esk10_0)=(esk6_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_34]), c_0_23])).
% 0.10/0.24 thf(c_0_37, plain, ![X3:$i, X2:$i, X4:$i, X1:$i, X5:$i, X6:$i, X9:$i, X8:$i, X7:$i, X10:$i, X11:$i, X12:$i]:((((X1)!=(X2))|((X3)!=(X4))|((X5)!=(X6))|((X7)!=(X8))|~((epred1_12 @ X2 @ X3 @ X4 @ X9 @ X1 @ X6 @ X10 @ X8 @ X5 @ X11 @ X7 @ X12)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.10/0.24 thf(c_0_38, negated_conjecture, (((esk6_0)=(esk4_0))|(epred1_12 @ esk10_0 @ esk12_0 @ esk12_0 @ esk6_0 @ esk10_0 @ esk6_0 @ esk6_0 @ esk4_0 @ esk6_0 @ esk4_0 @ esk1_0 @ esk1_0)), inference(spm,[status(thm)],[c_0_16, c_0_22])).
% 0.10/0.24 thf(c_0_39, negated_conjecture, ((esk4_0)=(esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_33])).
% 0.10/0.24 thf(c_0_40, plain, ![X1:$i, X2:$i, X3:$i, X4:$i, X5:$i, X6:$i, X7:$i, X8:$i]:(~((epred1_12 @ X1 @ X2 @ X2 @ X3 @ X1 @ X4 @ X5 @ X6 @ X4 @ X7 @ X6 @ X8))), inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_37])])])])).
% 0.10/0.24 thf(c_0_41, negated_conjecture, ((esk6_0)=(esk1_0)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38, c_0_39]), c_0_39]), c_0_39]), c_0_40])).
% 0.10/0.24 thf(c_0_42, negated_conjecture, (epred1_12 @ esk10_0 @ esk12_0 @ esk12_0 @ esk8_0 @ esk10_0 @ esk8_0 @ esk1_0 @ esk1_0 @ esk1_0 @ esk1_0 @ esk1_0 @ esk1_0), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_39]), c_0_39]), c_0_41]), c_0_41])).
% 0.10/0.24 thf(c_0_43, plain, (((esk12_0)=(esk10_0))|((esk10_0)=(esk8_0))), inference(spm,[status(thm)],[c_0_27, c_0_42])).
% 0.10/0.24 thf(c_0_44, negated_conjecture, (((esk10_0)=(esk8_0))|(epred1_12 @ esk10_0 @ esk10_0 @ esk10_0 @ esk8_0 @ esk10_0 @ esk8_0 @ esk1_0 @ esk1_0 @ esk1_0 @ esk1_0 @ esk1_0 @ esk1_0)), inference(spm,[status(thm)],[c_0_42, c_0_43])).
% 0.10/0.24 thf(c_0_45, plain, (((esk10_0)=(esk8_0))|((esk8_0)=(esk1_0))), inference(spm,[status(thm)],[c_0_19, c_0_44])).
% 0.10/0.24 thf(c_0_46, negated_conjecture, ((esk8_0)=(esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_45]), c_0_33])).
% 0.10/0.24 thf(c_0_47, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_46]), c_0_46]), c_0_40]), ['proof']).
% 0.10/0.24 % SZS output end CNFRefutation
% 0.10/0.24 % Parsed axioms : 1
% 0.10/0.24 % Removed by relevancy pruning/SinE : 0
% 0.10/0.24 % Initial clauses : 13
% 0.10/0.24 % Removed in clause preprocessing : 0
% 0.10/0.24 % Initial clauses in saturation : 13
% 0.10/0.24 % Processed clauses : 76
% 0.10/0.24 % ...of these trivial : 4
% 0.10/0.24 % ...subsumed : 23
% 0.10/0.24 % ...remaining for further processing : 49
% 0.10/0.24 % Other redundant clauses eliminated : 20
% 0.10/0.24 % Clauses deleted for lack of memory : 0
% 0.10/0.24 % Backward-subsumed : 3
% 0.10/0.24 % Backward-rewritten : 26
% 0.10/0.24 % Generated clauses : 118
% 0.10/0.24 % ...of the previous two non-redundant : 126
% 0.10/0.24 % ...aggressively subsumed : 0
% 0.10/0.24 % Contextual simplify-reflections : 1
% 0.10/0.24 % Paramodulations : 112
% 0.10/0.24 % Factorizations : 0
% 0.10/0.24 % NegExts : 0
% 0.10/0.24 % Equation resolutions : 20
% 0.10/0.24 % Disequality decompositions : 0
% 0.10/0.24 % Total rewrite steps : 74
% 0.10/0.24 % ...of those cached : 65
% 0.10/0.24 % Propositional unsat checks : 0
% 0.10/0.24 % Propositional check models : 0
% 0.10/0.24 % Propositional check unsatisfiable : 0
% 0.10/0.24 % Propositional clauses : 0
% 0.10/0.24 % Propositional clauses after purity: 0
% 0.10/0.24 % Propositional unsat core size : 0
% 0.10/0.24 % Propositional preprocessing time : 0.000
% 0.10/0.24 % Propositional encoding time : 0.000
% 0.10/0.24 % Propositional solver time : 0.000
% 0.10/0.24 % Success case prop preproc time : 0.000
% 0.10/0.24 % Success case prop encoding time : 0.000
% 0.10/0.24 % Success case prop solver time : 0.000
% 0.10/0.24 % Current number of processed clauses : 14
% 0.10/0.24 % Positive orientable unit clauses : 8
% 0.10/0.24 % Positive unorientable unit clauses: 0
% 0.10/0.24 % Negative unit clauses : 2
% 0.10/0.24 % Non-unit-clauses : 4
% 0.10/0.24 % Current number of unprocessed clauses: 0
% 0.10/0.24 % ...number of literals in the above : 0
% 0.10/0.24 % Current number of archived formulas : 0
% 0.10/0.24 % Current number of archived clauses : 29
% 0.10/0.24 % Clause-clause subsumption calls (NU) : 154
% 0.10/0.24 % Rec. Clause-clause subsumption calls : 93
% 0.10/0.24 % Non-unit clause-clause subsumptions : 27
% 0.10/0.24 % Unit Clause-clause subsumption calls : 6
% 0.10/0.24 % Rewrite failures with RHS unbound : 0
% 0.10/0.24 % BW rewrite match attempts : 3
% 0.10/0.24 % BW rewrite match successes : 3
% 0.10/0.24 % Condensation attempts : 0
% 0.10/0.24 % Condensation successes : 0
% 0.10/0.24 % Termbank termtop insertions : 3401
% 0.10/0.24 % Search garbage collected termcells : 378
% 0.10/0.24
% 0.10/0.24 % -------------------------------------------------
% 0.10/0.24 % User time : 0.007 s
% 0.10/0.24 % System time : 0.002 s
% 0.10/0.24 % Total time : 0.009 s
% 0.10/0.24 % Maximum resident set size: 3636 pages
% 0.10/0.24
% 0.10/0.24 % -------------------------------------------------
% 0.10/0.24 % User time : 0.010 s
% 0.10/0.24 % System time : 0.004 s
% 0.10/0.24 % Total time : 0.015 s
% 0.10/0.24 % Maximum resident set size: 4608 pages
% 0.10/0.24 % E exiting
%------------------------------------------------------------------------------