%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM783^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 : Wed Sep 30 08:17:06 AM UTC 2026
% Result : Theorem 0.07s 0.25s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM783^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n002.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 12:58:22 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running higher-order theorem proving
% 0.07/0.23 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.oQEGXeP6AL/E---3.1_1233128.p
% 0.07/0.25 % Version: 3.5.1-ho
% 0.07/0.25 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.07/0.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.25 % Starting new_ho_10 with 1500s (5) cores
% 0.07/0.25 % Starting ho_unfolding_6 with 300s (1) cores
% 0.07/0.25 % Starting sh4l with 300s (1) cores
% 0.07/0.25 % Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.07/0.25 % new_ho_10 with pid 1233141 completed with status 0
% 0.07/0.25 % Result found by new_ho_10
% 0.07/0.25 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.07/0.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.25 % Starting new_ho_10 with 1500s (5) cores
% 0.07/0.25 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.07/0.25 % No SInE strategy applied
% 0.07/0.25 % Search class: HGHNF-FFMF00-SFFFFFNN
% 0.07/0.25 % partial match(1): HGHNF-FFSF00-SFFFFFNN
% 0.07/0.25 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.07/0.25 % Starting SubtermCWHack with 151s (1) cores
% 0.07/0.25 % Starting new_ho_10 with 901s (1) cores
% 0.07/0.25 % Starting ehoh_best8_lambda with 151s (1) cores
% 0.07/0.25 % Starting ho_unfolding_6 with 151s (1) cores
% 0.07/0.25 % Starting sh4l with 146s (1) cores
% 0.07/0.25 % SubtermCWHack with pid 1233146 completed with status 0
% 0.07/0.25 % Result found by SubtermCWHack
% 0.07/0.25 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.07/0.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.25 % Starting new_ho_10 with 1500s (5) cores
% 0.07/0.25 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.07/0.25 % No SInE strategy applied
% 0.07/0.25 % Search class: HGHNF-FFMF00-SFFFFFNN
% 0.07/0.25 % partial match(1): HGHNF-FFSF00-SFFFFFNN
% 0.07/0.25 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.07/0.25 % Starting SubtermCWHack with 151s (1) cores
% 0.07/0.25 % Preprocessing time : 0.001 s
% 0.07/0.25
% 0.07/0.25 % Proof found!
% 0.07/0.25 % SZS status Theorem
% 0.07/0.25 % SZS output start CNFRefutation
% 0.07/0.25 thf(decl_sort1, type, rat: $tType).
% 0.07/0.25 thf(decl_23, type, x0: rat).
% 0.07/0.25 thf(decl_24, type, y0: rat).
% 0.07/0.25 thf(decl_25, type, or3: $o > $o > $o > $o).
% 0.07/0.25 thf(decl_26, type, is: rat > rat > $o).
% 0.07/0.25 thf(decl_27, type, more: rat > rat > $o).
% 0.07/0.25 thf(decl_28, type, less: rat > rat > $o).
% 0.07/0.25 thf(decl_29, type, ec3: $o > $o > $o > $o).
% 0.07/0.25 thf(decl_30, type, epred1_2: rat > rat > $o).
% 0.07/0.25 thf(decl_31, type, epred2_0: $o).
% 0.07/0.25 thf(decl_32, type, epred3_0: $o).
% 0.07/0.25 thf(satz81, axiom, ![X2:rat, X3:rat]:(~(((or3 @ ((is @ X2 @ X3)) @ ((more @ X2 @ X3)) @ ((less @ X2 @ X3)))=>~((ec3 @ ((is @ X2 @ X3)) @ ((more @ X2 @ X3)) @ ((less @ X2 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.oQEGXeP6AL/E---3.1_1233128.p', satz81)).
% 0.07/0.25 thf(satz81a, conjecture, (or3 @ ((is @ x0 @ y0)) @ ((more @ x0 @ y0)) @ ((less @ x0 @ y0))), file('/export/starexec/sandbox/tmp/tmp.oQEGXeP6AL/E---3.1_1233128.p', satz81a)).
% 0.07/0.25 thf(c_0_2, plain, ![X2:rat, X3:rat]:(((epred1_2 @ X3 @ X2)<=>((~(is @ X2 @ X3)|((~(more @ X2 @ X3)|((~(less @ X2 @ X3)|(or3 @ $true @ $true @ $true))&((less @ X2 @ X3)|(or3 @ $true @ $true @ $false))))&((more @ X2 @ X3)|((~(less @ X2 @ X3)|(or3 @ $true @ $false @ $true))&((less @ X2 @ X3)|(or3 @ $true @ $false @ $false))))))&((is @ X2 @ X3)|((~(more @ X2 @ X3)|((~(less @ X2 @ X3)|(or3 @ $false @ $true @ $true))&((less @ X2 @ X3)|(or3 @ $false @ $true @ $false))))&((more @ X2 @ X3)|((~(less @ X2 @ X3)|(or3 @ $false @ $false @ $true))&((less @ X2 @ X3)|(or3 @ $false @ $false @ $false))))))))), introduced(definition)).
% 0.07/0.25 thf(c_0_3, plain, ((epred3_0)<=>((is @ x0 @ y0)|((~(more @ x0 @ y0)|((~(less @ x0 @ y0)|(or3 @ $false @ $true @ $true))&((less @ x0 @ y0)|(or3 @ $false @ $true @ $false))))&((more @ x0 @ y0)|((~(less @ x0 @ y0)|(or3 @ $false @ $false @ $true))&((less @ x0 @ y0)|(or3 @ $false @ $false @ $false))))))), introduced(definition)).
% 0.07/0.25 thf(c_0_4, plain, ![X2:rat, X3:rat]:(((epred1_2 @ X3 @ X2)=>((~(is @ X2 @ X3)|((~(more @ X2 @ X3)|((~(less @ X2 @ X3)|(or3 @ $true @ $true @ $true))&((less @ X2 @ X3)|(or3 @ $true @ $true @ $false))))&((more @ X2 @ X3)|((~(less @ X2 @ X3)|(or3 @ $true @ $false @ $true))&((less @ X2 @ X3)|(or3 @ $true @ $false @ $false))))))&((is @ X2 @ X3)|((~(more @ X2 @ X3)|((~(less @ X2 @ X3)|(or3 @ $false @ $true @ $true))&((less @ X2 @ X3)|(or3 @ $false @ $true @ $false))))&((more @ X2 @ X3)|((~(less @ X2 @ X3)|(or3 @ $false @ $false @ $true))&((less @ X2 @ X3)|(or3 @ $false @ $false @ $false))))))))), inference(split_equiv,[status(thm)],[c_0_2])).
% 0.07/0.25 thf(c_0_5, axiom, ![X2:rat, X3:rat]:(~(((epred1_2 @ X3 @ X2)=>~(((~(is @ X2 @ X3)|((~(more @ X2 @ X3)|((~(less @ X2 @ X3)|(ec3 @ $true @ $true @ $true))&((less @ X2 @ X3)|(ec3 @ $true @ $true @ $false))))&((more @ X2 @ X3)|((~(less @ X2 @ X3)|(ec3 @ $true @ $false @ $true))&((less @ X2 @ X3)|(ec3 @ $true @ $false @ $false))))))&((is @ X2 @ X3)|((~(more @ X2 @ X3)|((~(less @ X2 @ X3)|(ec3 @ $false @ $true @ $true))&((less @ X2 @ X3)|(ec3 @ $false @ $true @ $false))))&((more @ X2 @ X3)|((~(less @ X2 @ X3)|(ec3 @ $false @ $false @ $true))&((less @ X2 @ X3)|(ec3 @ $false @ $false @ $false))))))))))), inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[satz81]), c_0_2])).
% 0.07/0.25 thf(c_0_6, plain, (((is @ x0 @ y0)|((~(more @ x0 @ y0)|((~(less @ x0 @ y0)|(or3 @ $false @ $true @ $true))&((less @ x0 @ y0)|(or3 @ $false @ $true @ $false))))&((more @ x0 @ y0)|((~(less @ x0 @ y0)|(or3 @ $false @ $false @ $true))&((less @ x0 @ y0)|(or3 @ $false @ $false @ $false))))))=>(epred3_0)), inference(split_equiv,[status(thm)],[c_0_3])).
% 0.07/0.25 thf(c_0_7, plain, ![X9:rat, X10:rat]:(((((~(less @ X9 @ X10)|(or3 @ $true @ $true @ $true)|~(more @ X9 @ X10)|~(is @ X9 @ X10)|~(epred1_2 @ X10 @ X9))&((less @ X9 @ X10)|(or3 @ $true @ $true @ $false)|~(more @ X9 @ X10)|~(is @ X9 @ X10)|~(epred1_2 @ X10 @ X9)))&((~(less @ X9 @ X10)|(or3 @ $true @ $false @ $true)|(more @ X9 @ X10)|~(is @ X9 @ X10)|~(epred1_2 @ X10 @ X9))&((less @ X9 @ X10)|(or3 @ $true @ $false @ $false)|(more @ X9 @ X10)|~(is @ X9 @ X10)|~(epred1_2 @ X10 @ X9))))&(((~(less @ X9 @ X10)|(or3 @ $false @ $true @ $true)|~(more @ X9 @ X10)|(is @ X9 @ X10)|~(epred1_2 @ X10 @ X9))&((less @ X9 @ X10)|(or3 @ $false @ $true @ $false)|~(more @ X9 @ X10)|(is @ X9 @ X10)|~(epred1_2 @ X10 @ X9)))&((~(less @ X9 @ X10)|(or3 @ $false @ $false @ $true)|(more @ X9 @ X10)|(is @ X9 @ X10)|~(epred1_2 @ X10 @ X9))&((less @ X9 @ X10)|(or3 @ $false @ $false @ $false)|(more @ X9 @ X10)|(is @ X9 @ X10)|~(epred1_2 @ X10 @ X9)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])).
% 0.07/0.25 thf(c_0_8, plain, ![X7:rat, X8:rat]:(((epred1_2 @ X8 @ X7)&((((~(less @ X7 @ X8)|(ec3 @ $true @ $true @ $true)|~(more @ X7 @ X8)|~(is @ X7 @ X8))&((less @ X7 @ X8)|(ec3 @ $true @ $true @ $false)|~(more @ X7 @ X8)|~(is @ X7 @ X8)))&((~(less @ X7 @ X8)|(ec3 @ $true @ $false @ $true)|(more @ X7 @ X8)|~(is @ X7 @ X8))&((less @ X7 @ X8)|(ec3 @ $true @ $false @ $false)|(more @ X7 @ X8)|~(is @ X7 @ X8))))&(((~(less @ X7 @ X8)|(ec3 @ $false @ $true @ $true)|~(more @ X7 @ X8)|(is @ X7 @ X8))&((less @ X7 @ X8)|(ec3 @ $false @ $true @ $false)|~(more @ X7 @ X8)|(is @ X7 @ X8)))&((~(less @ X7 @ X8)|(ec3 @ $false @ $false @ $true)|(more @ X7 @ X8)|(is @ X7 @ X8))&((less @ X7 @ X8)|(ec3 @ $false @ $false @ $false)|(more @ X7 @ X8)|(is @ X7 @ X8))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])).
% 0.07/0.25 thf(c_0_9, plain, ((~(is @ x0 @ y0)|(epred3_0))&(((~(more @ x0 @ y0)|(more @ x0 @ y0)|(epred3_0))&(((~(less @ x0 @ y0)|(less @ x0 @ y0)|(more @ x0 @ y0)|(epred3_0))&(~(or3 @ $false @ $false @ $false)|(less @ x0 @ y0)|(more @ x0 @ y0)|(epred3_0)))&((~(less @ x0 @ y0)|~(or3 @ $false @ $false @ $true)|(more @ x0 @ y0)|(epred3_0))&(~(or3 @ $false @ $false @ $false)|~(or3 @ $false @ $false @ $true)|(more @ x0 @ y0)|(epred3_0)))))&((((~(more @ x0 @ y0)|(~(less @ x0 @ y0)|(less @ x0 @ y0))|(epred3_0))&(((~(less @ x0 @ y0)|(less @ x0 @ y0)|(~(less @ x0 @ y0)|(less @ x0 @ y0))|(epred3_0))&(~(or3 @ $false @ $false @ $false)|(less @ x0 @ y0)|(~(less @ x0 @ y0)|(less @ x0 @ y0))|(epred3_0)))&((~(less @ x0 @ y0)|~(or3 @ $false @ $false @ $true)|(~(less @ x0 @ y0)|(less @ x0 @ y0))|(epred3_0))&(~(or3 @ $false @ $false @ $false)|~(or3 @ $false @ $false @ $true)|(~(less @ x0 @ y0)|(less @ x0 @ y0))|(epred3_0)))))&((~(more @ x0 @ y0)|(~(or3 @ $false @ $true @ $false)|(less @ x0 @ y0))|(epred3_0))&(((~(less @ x0 @ y0)|(less @ x0 @ y0)|(~(or3 @ $false @ $true @ $false)|(less @ x0 @ y0))|(epred3_0))&(~(or3 @ $false @ $false @ $false)|(less @ x0 @ y0)|(~(or3 @ $false @ $true @ $false)|(less @ x0 @ y0))|(epred3_0)))&((~(less @ x0 @ y0)|~(or3 @ $false @ $false @ $true)|(~(or3 @ $false @ $true @ $false)|(less @ x0 @ y0))|(epred3_0))&(~(or3 @ $false @ $false @ $false)|~(or3 @ $false @ $false @ $true)|(~(or3 @ $false @ $true @ $false)|(less @ x0 @ y0))|(epred3_0))))))&(((~(more @ x0 @ y0)|(~(less @ x0 @ y0)|~(or3 @ $false @ $true @ $true))|(epred3_0))&(((~(less @ x0 @ y0)|(less @ x0 @ y0)|(~(less @ x0 @ y0)|~(or3 @ $false @ $true @ $true))|(epred3_0))&(~(or3 @ $false @ $false @ $false)|(less @ x0 @ y0)|(~(less @ x0 @ y0)|~(or3 @ $false @ $true @ $true))|(epred3_0)))&((~(less @ x0 @ y0)|~(or3 @ $false @ $false @ $true)|(~(less @ x0 @ y0)|~(or3 @ $false @ $true @ $true))|(epred3_0))&(~(or3 @ $false @ $false @ $false)|~(or3 @ $false @ $false @ $true)|(~(less @ x0 @ y0)|~(or3 @ $false @ $true @ $true))|(epred3_0)))))&((~(more @ x0 @ y0)|(~(or3 @ $false @ $true @ $false)|~(or3 @ $false @ $true @ $true))|(epred3_0))&(((~(less @ x0 @ y0)|(less @ x0 @ y0)|(~(or3 @ $false @ $true @ $false)|~(or3 @ $false @ $true @ $true))|(epred3_0))&(~(or3 @ $false @ $false @ $false)|(less @ x0 @ y0)|(~(or3 @ $false @ $true @ $false)|~(or3 @ $false @ $true @ $true))|(epred3_0)))&((~(less @ x0 @ y0)|~(or3 @ $false @ $false @ $true)|(~(or3 @ $false @ $true @ $false)|~(or3 @ $false @ $true @ $true))|(epred3_0))&(~(or3 @ $false @ $false @ $false)|~(or3 @ $false @ $false @ $true)|(~(or3 @ $false @ $true @ $false)|~(or3 @ $false @ $true @ $true))|(epred3_0))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])).
% 0.07/0.25 thf(c_0_10, plain, ![X3:rat, X2:rat]:(((less @ X2 @ X3)|(or3 @ (~($true)) @ (~($true)) @ (~($true)))|(more @ X2 @ X3)|(is @ X2 @ X3)|~((epred1_2 @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.07/0.25 thf(c_0_11, plain, ![X2:rat, X3:rat]:((epred1_2 @ X2 @ X3)), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.07/0.25 thf(c_0_12, plain, ((epred3_0)|~((is @ x0 @ y0))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.07/0.25 thf(c_0_13, plain, ![X2:rat, X3:rat]:(((or3 @ (~($true)) @ (~($true)) @ (~($true)))|(less @ X2 @ X3)|(more @ X2 @ X3)|(is @ X2 @ X3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 0.07/0.25 thf(c_0_14, plain, ((less @ x0 @ y0)|(more @ x0 @ y0)|(epred3_0)|~((or3 @ (~($true)) @ (~($true)) @ (~($true))))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.07/0.25 thf(c_0_15, plain, ![X3:rat, X2:rat]:(((less @ X2 @ X3)|(or3 @ (~($true)) @ (($true)) @ (~($true)))|(is @ X2 @ X3)|~((more @ X2 @ X3))|~((epred1_2 @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.07/0.25 thf(c_0_16, plain, ((less @ x0 @ y0)|(epred3_0)|~((more @ x0 @ y0))|~((or3 @ (~($true)) @ (($true)) @ (~($true))))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.07/0.25 thf(c_0_17, plain, ((more @ x0 @ y0)|(less @ x0 @ y0)|(epred3_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_14])).
% 0.07/0.25 thf(c_0_18, plain, ![X3:rat, X2:rat]:(((or3 @ (~($true)) @ (~($true)) @ (($true)))|(more @ X2 @ X3)|(is @ X2 @ X3)|~((less @ X2 @ X3))|~((epred1_2 @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.07/0.25 thf(c_0_19, plain, ![X2:rat, X3:rat]:(((or3 @ (~($true)) @ (($true)) @ (~($true)))|(less @ X2 @ X3)|(is @ X2 @ X3)|~((more @ X2 @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_11])])).
% 0.07/0.25 thf(c_0_20, plain, ((less @ x0 @ y0)|(epred3_0)|~((or3 @ (~($true)) @ (($true)) @ (~($true))))), inference(spm,[status(thm)],[c_0_16, c_0_17])).
% 0.07/0.25 thf(c_0_21, plain, ((epred3_0)|~((less @ x0 @ y0))|~((or3 @ (~($true)) @ (~($true)) @ (($true))))|~((less @ x0 @ y0))|~((or3 @ (~($true)) @ (($true)) @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.07/0.25 thf(c_0_22, plain, ((epred2_0)<=>(~(is @ x0 @ y0)|((~(more @ x0 @ y0)|((~(less @ x0 @ y0)|(or3 @ $true @ $true @ $true))&((less @ x0 @ y0)|(or3 @ $true @ $true @ $false))))&((more @ x0 @ y0)|((~(less @ x0 @ y0)|(or3 @ $true @ $false @ $true))&((less @ x0 @ y0)|(or3 @ $true @ $false @ $false))))))), introduced(definition)).
% 0.07/0.25 thf(c_0_23, plain, ![X2:rat, X3:rat]:(((or3 @ (~($true)) @ (~($true)) @ (($true)))|(more @ X2 @ X3)|(is @ X2 @ X3)|~((less @ X2 @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_11])])).
% 0.07/0.25 thf(c_0_24, plain, ((less @ x0 @ y0)|(epred3_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_19]), c_0_17]), c_0_20])).
% 0.07/0.25 thf(c_0_25, plain, ((epred3_0)|~((less @ x0 @ y0))|~((or3 @ (~($true)) @ (($true)) @ (($true))))|~((or3 @ (~($true)) @ (~($true)) @ (($true))))), inference(cn,[status(thm)],[c_0_21])).
% 0.07/0.25 thf(c_0_26, plain, ((~(is @ x0 @ y0)|((~(more @ x0 @ y0)|((~(less @ x0 @ y0)|(or3 @ $true @ $true @ $true))&((less @ x0 @ y0)|(or3 @ $true @ $true @ $false))))&((more @ x0 @ y0)|((~(less @ x0 @ y0)|(or3 @ $true @ $false @ $true))&((less @ x0 @ y0)|(or3 @ $true @ $false @ $false))))))=>(epred2_0)), inference(split_equiv,[status(thm)],[c_0_22])).
% 0.07/0.25 thf(c_0_27, plain, ![X3:rat, X2:rat]:(((or3 @ (~($true)) @ (($true)) @ (($true)))|(is @ X2 @ X3)|~((less @ X2 @ X3))|~((more @ X2 @ X3))|~((epred1_2 @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.07/0.25 thf(c_0_28, plain, ((epred3_0)|~((more @ x0 @ y0))|~((less @ x0 @ y0))|~((or3 @ (~($true)) @ (($true)) @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.07/0.25 thf(c_0_29, plain, ((or3 @ (~($true)) @ (~($true)) @ (($true)))|(more @ x0 @ y0)|(epred3_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_23]), c_0_24])).
% 0.07/0.25 thf(c_0_30, plain, ((epred3_0)|~((or3 @ (~($true)) @ (($true)) @ (($true))))|~((or3 @ (~($true)) @ (~($true)) @ (($true))))), inference(spm,[status(thm)],[c_0_25, c_0_24])).
% 0.07/0.25 thf(c_0_31, plain, ![X3:rat, X2:rat]:(((less @ X2 @ X3)|(or3 @ (($true)) @ (~($true)) @ (~($true)))|(more @ X2 @ X3)|~((is @ X2 @ X3))|~((epred1_2 @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.07/0.25 thf(c_0_32, plain, (((is @ x0 @ y0)|(epred2_0))&(((~(more @ x0 @ y0)|(more @ x0 @ y0)|(epred2_0))&(((~(less @ x0 @ y0)|(less @ x0 @ y0)|(more @ x0 @ y0)|(epred2_0))&(~(or3 @ $true @ $false @ $false)|(less @ x0 @ y0)|(more @ x0 @ y0)|(epred2_0)))&((~(less @ x0 @ y0)|~(or3 @ $true @ $false @ $true)|(more @ x0 @ y0)|(epred2_0))&(~(or3 @ $true @ $false @ $false)|~(or3 @ $true @ $false @ $true)|(more @ x0 @ y0)|(epred2_0)))))&((((~(more @ x0 @ y0)|(~(less @ x0 @ y0)|(less @ x0 @ y0))|(epred2_0))&(((~(less @ x0 @ y0)|(less @ x0 @ y0)|(~(less @ x0 @ y0)|(less @ x0 @ y0))|(epred2_0))&(~(or3 @ $true @ $false @ $false)|(less @ x0 @ y0)|(~(less @ x0 @ y0)|(less @ x0 @ y0))|(epred2_0)))&((~(less @ x0 @ y0)|~(or3 @ $true @ $false @ $true)|(~(less @ x0 @ y0)|(less @ x0 @ y0))|(epred2_0))&(~(or3 @ $true @ $false @ $false)|~(or3 @ $true @ $false @ $true)|(~(less @ x0 @ y0)|(less @ x0 @ y0))|(epred2_0)))))&((~(more @ x0 @ y0)|(~(or3 @ $true @ $true @ $false)|(less @ x0 @ y0))|(epred2_0))&(((~(less @ x0 @ y0)|(less @ x0 @ y0)|(~(or3 @ $true @ $true @ $false)|(less @ x0 @ y0))|(epred2_0))&(~(or3 @ $true @ $false @ $false)|(less @ x0 @ y0)|(~(or3 @ $true @ $true @ $false)|(less @ x0 @ y0))|(epred2_0)))&((~(less @ x0 @ y0)|~(or3 @ $true @ $false @ $true)|(~(or3 @ $true @ $true @ $false)|(less @ x0 @ y0))|(epred2_0))&(~(or3 @ $true @ $false @ $false)|~(or3 @ $true @ $false @ $true)|(~(or3 @ $true @ $true @ $false)|(less @ x0 @ y0))|(epred2_0))))))&(((~(more @ x0 @ y0)|(~(less @ x0 @ y0)|~(or3 @ $true @ $true @ $true))|(epred2_0))&(((~(less @ x0 @ y0)|(less @ x0 @ y0)|(~(less @ x0 @ y0)|~(or3 @ $true @ $true @ $true))|(epred2_0))&(~(or3 @ $true @ $false @ $false)|(less @ x0 @ y0)|(~(less @ x0 @ y0)|~(or3 @ $true @ $true @ $true))|(epred2_0)))&((~(less @ x0 @ y0)|~(or3 @ $true @ $false @ $true)|(~(less @ x0 @ y0)|~(or3 @ $true @ $true @ $true))|(epred2_0))&(~(or3 @ $true @ $false @ $false)|~(or3 @ $true @ $false @ $true)|(~(less @ x0 @ y0)|~(or3 @ $true @ $true @ $true))|(epred2_0)))))&((~(more @ x0 @ y0)|(~(or3 @ $true @ $true @ $false)|~(or3 @ $true @ $true @ $true))|(epred2_0))&(((~(less @ x0 @ y0)|(less @ x0 @ y0)|(~(or3 @ $true @ $true @ $false)|~(or3 @ $true @ $true @ $true))|(epred2_0))&(~(or3 @ $true @ $false @ $false)|(less @ x0 @ y0)|(~(or3 @ $true @ $true @ $false)|~(or3 @ $true @ $true @ $true))|(epred2_0)))&((~(less @ x0 @ y0)|~(or3 @ $true @ $false @ $true)|(~(or3 @ $true @ $true @ $false)|~(or3 @ $true @ $true @ $true))|(epred2_0))&(~(or3 @ $true @ $false @ $false)|~(or3 @ $true @ $false @ $true)|(~(or3 @ $true @ $true @ $false)|~(or3 @ $true @ $true @ $true))|(epred2_0))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])).
% 0.07/0.25 thf(c_0_33, negated_conjecture, ~((or3 @ ((is @ x0 @ y0)) @ ((more @ x0 @ y0)) @ ((less @ x0 @ y0)))), inference(assume_negation,[status(cth)],[satz81a])).
% 0.07/0.25 thf(c_0_34, plain, ![X2:rat, X3:rat]:(((or3 @ (~($true)) @ (($true)) @ (($true)))|(is @ X2 @ X3)|~((more @ X2 @ X3))|~((less @ X2 @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_11])])).
% 0.07/0.25 thf(c_0_35, plain, ((epred3_0)|~((or3 @ (~($true)) @ (($true)) @ (($true))))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_24]), c_0_30])).
% 0.07/0.25 thf(c_0_36, plain, ![X2:rat, X3:rat]:(((or3 @ (($true)) @ (~($true)) @ (~($true)))|(less @ X2 @ X3)|(more @ X2 @ X3)|~((is @ X2 @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31, c_0_11])])).
% 0.07/0.25 thf(c_0_37, plain, ((is @ x0 @ y0)|(epred2_0)), inference(split_conjunct,[status(thm)],[c_0_32])).
% 0.07/0.25 thf(c_0_38, plain, ((less @ x0 @ y0)|(more @ x0 @ y0)|(epred2_0)|~((or3 @ (($true)) @ (~($true)) @ (~($true))))), inference(split_conjunct,[status(thm)],[c_0_32])).
% 0.07/0.25 thf(c_0_39, negated_conjecture, ~(((epred2_0)&(epred3_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[c_0_33]), c_0_22]), c_0_3])).
% 0.07/0.25 thf(c_0_40, plain, ((epred3_0)|~((more @ x0 @ y0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_34]), c_0_24]), c_0_35])).
% 0.07/0.25 thf(c_0_41, plain, ![X3:rat, X2:rat]:(((less @ X2 @ X3)|(or3 @ (($true)) @ (($true)) @ (~($true)))|~((more @ X2 @ X3))|~((is @ X2 @ X3))|~((epred1_2 @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.07/0.25 thf(c_0_42, plain, ((less @ x0 @ y0)|(epred2_0)|~((more @ x0 @ y0))|~((or3 @ (($true)) @ (($true)) @ (~($true))))), inference(split_conjunct,[status(thm)],[c_0_32])).
% 0.07/0.25 thf(c_0_43, plain, ((more @ x0 @ y0)|(less @ x0 @ y0)|(epred2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_38])).
% 0.07/0.25 thf(c_0_44, negated_conjecture, (~(epred2_0)|~(epred3_0)), inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])).
% 0.07/0.25 thf(c_0_45, plain, ((more @ x0 @ y0)|(epred3_0)|~((less @ x0 @ y0))|~((or3 @ (~($true)) @ (~($true)) @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_9])).
% 0.07/0.25 thf(c_0_46, plain, ((or3 @ (~($true)) @ (~($true)) @ (($true)))|(epred3_0)), inference(spm,[status(thm)],[c_0_40, c_0_29])).
% 0.07/0.25 thf(c_0_47, plain, ![X3:rat, X2:rat]:(((or3 @ (($true)) @ (~($true)) @ (($true)))|(more @ X2 @ X3)|~((less @ X2 @ X3))|~((is @ X2 @ X3))|~((epred1_2 @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.07/0.25 thf(c_0_48, plain, ![X2:rat, X3:rat]:(((or3 @ (($true)) @ (($true)) @ (~($true)))|(less @ X2 @ X3)|~((is @ X2 @ X3))|~((more @ X2 @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_11])])).
% 0.07/0.25 thf(c_0_49, plain, ((less @ x0 @ y0)|(epred2_0)|~((or3 @ (($true)) @ (($true)) @ (~($true))))), inference(spm,[status(thm)],[c_0_42, c_0_43])).
% 0.07/0.25 thf(c_0_50, negated_conjecture, (~((epred2_0))|~((epred3_0))), inference(split_conjunct,[status(thm)],[c_0_44])).
% 0.07/0.25 thf(c_0_51, plain, (epred3_0), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_45]), c_0_24]), c_0_46])).
% 0.07/0.25 thf(c_0_52, plain, ![X2:rat, X3:rat]:(((or3 @ (($true)) @ (~($true)) @ (($true)))|(more @ X2 @ X3)|~((is @ X2 @ X3))|~((less @ X2 @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47, c_0_11])])).
% 0.07/0.25 thf(c_0_53, plain, ((less @ x0 @ y0)|(epred2_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_37]), c_0_43]), c_0_49])).
% 0.07/0.25 thf(c_0_54, plain, ((epred2_0)|~((less @ x0 @ y0))|~((or3 @ (($true)) @ (~($true)) @ (($true))))|~((less @ x0 @ y0))|~((or3 @ (($true)) @ (($true)) @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_32])).
% 0.07/0.25 thf(c_0_55, negated_conjecture, ~((epred2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50, c_0_51])])).
% 0.07/0.25 thf(c_0_56, plain, ((or3 @ (($true)) @ (~($true)) @ (($true)))|(more @ x0 @ y0)|(epred2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_37]), c_0_53])).
% 0.07/0.25 thf(c_0_57, plain, ((epred2_0)|~((less @ x0 @ y0))|~((or3 @ (($true)) @ (($true)) @ (($true))))|~((or3 @ (($true)) @ (~($true)) @ (($true))))), inference(cn,[status(thm)],[c_0_54])).
% 0.07/0.25 thf(c_0_58, plain, ![X3:rat, X2:rat]:(((or3 @ (($true)) @ (($true)) @ (($true)))|~((less @ X2 @ X3))|~((more @ X2 @ X3))|~((is @ X2 @ X3))|~((epred1_2 @ X3 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.07/0.25 thf(c_0_59, plain, ((more @ x0 @ y0)|(epred2_0)|~((less @ x0 @ y0))|~((or3 @ (($true)) @ (~($true)) @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_32])).
% 0.07/0.25 thf(c_0_60, plain, (less @ x0 @ y0), inference(sr,[status(thm)],[c_0_53, c_0_55])).
% 0.07/0.25 thf(c_0_61, plain, ((or3 @ (($true)) @ (~($true)) @ (($true)))|(more @ x0 @ y0)), inference(sr,[status(thm)],[c_0_56, c_0_55])).
% 0.07/0.25 thf(c_0_62, plain, ((epred2_0)|~((more @ x0 @ y0))|~((less @ x0 @ y0))|~((or3 @ (($true)) @ (($true)) @ (($true))))), inference(split_conjunct,[status(thm)],[c_0_32])).
% 0.07/0.25 thf(c_0_63, plain, ((epred2_0)|~((or3 @ (($true)) @ (($true)) @ (($true))))|~((or3 @ (($true)) @ (~($true)) @ (($true))))), inference(spm,[status(thm)],[c_0_57, c_0_53])).
% 0.07/0.25 thf(c_0_64, plain, ![X2:rat, X3:rat]:(((or3 @ (($true)) @ (($true)) @ (($true)))|~((is @ X2 @ X3))|~((more @ X2 @ X3))|~((less @ X2 @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58, c_0_11])])).
% 0.07/0.25 thf(c_0_65, plain, (is @ x0 @ y0), inference(sr,[status(thm)],[c_0_37, c_0_55])).
% 0.07/0.25 thf(c_0_66, plain, (more @ x0 @ y0), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59, c_0_60])]), c_0_55]), c_0_61])).
% 0.07/0.25 thf(c_0_67, plain, ((epred2_0)|~((or3 @ (($true)) @ (($true)) @ (($true))))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_56]), c_0_53]), c_0_63])).
% 0.07/0.25 thf(c_0_68, plain, (or3 @ (($true)) @ (($true)) @ (($true))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_66]), c_0_60])])).
% 0.07/0.25 thf(c_0_69, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67, c_0_68])]), c_0_55]), ['proof']).
% 0.07/0.25 % SZS output end CNFRefutation
% 0.07/0.25 % Parsed axioms : 11
% 0.07/0.25 % Removed by relevancy pruning/SinE : 0
% 0.07/0.25 % Initial clauses : 79
% 0.07/0.25 % Removed in clause preprocessing : 33
% 0.07/0.25 % Initial clauses in saturation : 46
% 0.07/0.25 % Processed clauses : 112
% 0.07/0.25 % ...of these trivial : 2
% 0.07/0.25 % ...subsumed : 28
% 0.07/0.25 % ...remaining for further processing : 82
% 0.07/0.25 % Other redundant clauses eliminated : 0
% 0.07/0.25 % Clauses deleted for lack of memory : 0
% 0.07/0.25 % Backward-subsumed : 30
% 0.07/0.25 % Backward-rewritten : 18
% 0.07/0.25 % Generated clauses : 213
% 0.07/0.25 % ...of the previous two non-redundant : 147
% 0.07/0.25 % ...aggressively subsumed : 0
% 0.07/0.25 % Contextual simplify-reflections : 23
% 0.07/0.25 % Paramodulations : 209
% 0.07/0.25 % Factorizations : 0
% 0.07/0.25 % NegExts : 0
% 0.07/0.25 % Equation resolutions : 0
% 0.07/0.25 % Disequality decompositions : 0
% 0.07/0.25 % Total rewrite steps : 43
% 0.07/0.25 % ...of those cached : 36
% 0.07/0.25 % Propositional unsat checks : 0
% 0.07/0.25 % Propositional check models : 0
% 0.07/0.25 % Propositional check unsatisfiable : 0
% 0.07/0.25 % Propositional clauses : 0
% 0.07/0.25 % Propositional clauses after purity: 0
% 0.07/0.25 % Propositional unsat core size : 0
% 0.07/0.25 % Propositional preprocessing time : 0.000
% 0.07/0.25 % Propositional encoding time : 0.000
% 0.07/0.25 % Propositional solver time : 0.000
% 0.07/0.25 % Success case prop preproc time : 0.000
% 0.07/0.25 % Success case prop encoding time : 0.000
% 0.07/0.25 % Success case prop solver time : 0.000
% 0.07/0.25 % Current number of processed clauses : 30
% 0.07/0.25 % Positive orientable unit clauses : 7
% 0.07/0.25 % Positive unorientable unit clauses: 0
% 0.07/0.25 % Negative unit clauses : 1
% 0.07/0.25 % Non-unit-clauses : 22
% 0.07/0.25 % Current number of unprocessed clauses: 75
% 0.07/0.25 % ...number of literals in the above : 378
% 0.07/0.25 % Current number of archived formulas : 0
% 0.07/0.25 % Current number of archived clauses : 52
% 0.07/0.25 % Clause-clause subsumption calls (NU) : 482
% 0.07/0.25 % Rec. Clause-clause subsumption calls : 255
% 0.07/0.25 % Non-unit clause-clause subsumptions : 78
% 0.07/0.25 % Unit Clause-clause subsumption calls : 74
% 0.07/0.25 % Rewrite failures with RHS unbound : 0
% 0.07/0.25 % BW rewrite match attempts : 7
% 0.07/0.25 % BW rewrite match successes : 5
% 0.07/0.25 % Condensation attempts : 0
% 0.07/0.25 % Condensation successes : 0
% 0.07/0.25 % Termbank termtop insertions : 7837
% 0.07/0.25 % Search garbage collected termcells : 700
% 0.07/0.25
% 0.07/0.25 % -------------------------------------------------
% 0.07/0.25 % User time : 0.008 s
% 0.07/0.25 % System time : 0.005 s
% 0.07/0.25 % Total time : 0.013 s
% 0.07/0.25 % Maximum resident set size: 3604 pages
% 0.07/0.25
% 0.07/0.25 % -------------------------------------------------
% 0.07/0.25 % User time : 0.021 s
% 0.07/0.25 % System time : 0.014 s
% 0.07/0.25 % Total time : 0.035 s
% 0.07/0.25 % Maximum resident set size: 4864 pages
% 0.07/0.25 % E exiting
%------------------------------------------------------------------------------