0.00/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.12 % Command : run_E %s %d THM 0.12/0.33 % Computer : n001.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 09:08:38 EDT 2024 0.12/0.33 % CPUTime : 0.19/0.47 Running higher-order theorem proving 0.19/0.47 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=180 /export/starexec/sandbox/tmp/tmp.rQ9sH7JsDE/E---3.1_21429.p 0.19/0.52 # Version: 3.2.0-ho 0.19/0.52 # partial match(1): HSLSSMSSSSMCHSA 0.19/0.52 # Preprocessing class: HSMSSMSSSSMCHSA. 0.19/0.52 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.19/0.52 # Starting post_as_ho6 with 900s (5) cores 0.19/0.52 # Starting post_as_ho7 with 180s (1) cores 0.19/0.52 # Starting post_as_ho8 with 180s (1) cores 0.19/0.52 # Starting lpo8_s with 180s (1) cores 0.19/0.52 # lpo8_s with pid 21510 completed with status 0 0.19/0.52 # Result found by lpo8_s 0.19/0.52 # partial match(1): HSLSSMSSSSMCHSA 0.19/0.52 # Preprocessing class: HSMSSMSSSSMCHSA. 0.19/0.52 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.19/0.52 # Starting post_as_ho6 with 900s (5) cores 0.19/0.52 # Starting post_as_ho7 with 180s (1) cores 0.19/0.52 # Starting post_as_ho8 with 180s (1) cores 0.19/0.52 # Starting lpo8_s with 180s (1) cores 0.19/0.52 # SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0) 0.19/0.52 # Search class: HGHSF-FSLS11-SHSFFFBC 0.19/0.52 # partial match(4): HGHSM-FSLM32-SHSFFFBC 0.19/0.52 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.19/0.52 # Starting new_ho_10 with 98s (1) cores 0.19/0.52 # new_ho_10 with pid 21518 completed with status 0 0.19/0.52 # Result found by new_ho_10 0.19/0.52 # partial match(1): HSLSSMSSSSMCHSA 0.19/0.52 # Preprocessing class: HSMSSMSSSSMCHSA. 0.19/0.52 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.19/0.52 # Starting post_as_ho6 with 900s (5) cores 0.19/0.52 # Starting post_as_ho7 with 180s (1) cores 0.19/0.52 # Starting post_as_ho8 with 180s (1) cores 0.19/0.52 # Starting lpo8_s with 180s (1) cores 0.19/0.52 # SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0) 0.19/0.52 # Search class: HGHSF-FSLS11-SHSFFFBC 0.19/0.52 # partial match(4): HGHSM-FSLM32-SHSFFFBC 0.19/0.52 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.19/0.52 # Starting new_ho_10 with 98s (1) cores 0.19/0.52 # Preprocessing time : 0.003 s 0.19/0.52 # Presaturation interreduction done 0.19/0.52 0.19/0.52 # Proof found! 0.19/0.52 # SZS status Theorem 0.19/0.52 # SZS output start CNFRefutation 0.19/0.52 thf(decl_22, type, eps: ($i > $o) > $i). 0.19/0.52 thf(decl_23, type, case: ($o > $o) > $i > $i > $i > $i > $i). 0.19/0.52 thf(decl_24, type, f0: $o > $o). 0.19/0.52 thf(decl_25, type, f1: $o > $o). 0.19/0.52 thf(decl_26, type, f2: $o > $o). 0.19/0.52 thf(decl_27, type, f3: $o > $o). 0.19/0.52 thf(decl_28, type, esk1_0: $i). 0.19/0.52 thf(decl_29, type, esk2_0: $i). 0.19/0.52 thf(decl_30, type, esk3_0: $i). 0.19/0.52 thf(decl_31, type, esk4_0: $i). 0.19/0.52 thf(decl_32, type, epred1_0: $i > $o). 0.19/0.52 thf(decl_33, type, epred2_0: $i > $o). 0.19/0.52 thf(decl_34, type, epred3_0: $i > $o). 0.19/0.52 thf(decl_35, type, epred4_0: $i > $o). 0.19/0.52 thf(decl_36, type, epred5_1: $i > $o). 0.19/0.52 thf(decl_37, type, epred6_1: $i > $o). 0.19/0.52 thf(decl_38, type, epred7_1: $i > $o). 0.19/0.52 thf(decl_39, type, epred8_1: $i > $o). 0.19/0.52 thf(decl_40, type, epred9_1: $i > $o). 0.19/0.52 thf(decl_41, type, epred10_1: $i > $o). 0.19/0.52 thf(decl_42, type, epred11_1: $i > $o). 0.19/0.52 thf(decl_43, type, epred12_1: $i > $o). 0.19/0.52 thf(decl_44, type, epred13_1: $i > $o). 0.19/0.52 thf(decl_45, type, epred14_1: $i > $o). 0.19/0.52 thf(decl_46, type, epred15_1: $i > $o). 0.19/0.52 thf(decl_47, type, epred16_1: $i > $o). 0.19/0.52 thf(decl_48, type, esk5_0: $o). 0.19/0.52 thf(f0f, axiom, ((f0 @ (~($true)))<=>~($true)), file('/export/starexec/sandbox/tmp/tmp.rQ9sH7JsDE/E---3.1_21429.p', f0f)). 0.19/0.52 thf(f3f, axiom, ((f3 @ (~($true)))<=>($true)), file('/export/starexec/sandbox/tmp/tmp.rQ9sH7JsDE/E---3.1_21429.p', f3f)). 0.19/0.52 thf(f0t, axiom, ((f0 @ (($true)))<=>~($true)), file('/export/starexec/sandbox/tmp/tmp.rQ9sH7JsDE/E---3.1_21429.p', f0t)). 0.19/0.52 thf(choiceax, axiom, ![X8:$i > $o]:(((X8 @ (eps @ X8))<=?[X2:$i]:((X8 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.rQ9sH7JsDE/E---3.1_21429.p', choiceax)). 0.19/0.52 thf(f3t, axiom, ((f3 @ (($true)))<=>($true)), file('/export/starexec/sandbox/tmp/tmp.rQ9sH7JsDE/E---3.1_21429.p', f3t)). 0.19/0.52 thf(f1f, axiom, ((f1 @ (~($true)))<=>($true)), file('/export/starexec/sandbox/tmp/tmp.rQ9sH7JsDE/E---3.1_21429.p', f1f)). 0.19/0.52 thf(f1t, axiom, ((f1 @ (($true)))<=>~($true)), file('/export/starexec/sandbox/tmp/tmp.rQ9sH7JsDE/E---3.1_21429.p', f1t)). 0.19/0.52 thf(caseood, axiom, ((case)=(^[X1:$o > $o, X2:$i, X3:$i, X4:$i, X5:$i]:(eps @ (^[X6:$i]:(((((((X1)=(^[X7:$o]:(~($true))))&((X6)=(X2)))|(((X1)=($not))&((X6)=(X3))))|(((X1)=(^[X7:$o]:((X7))))&((X6)=(X4))))|(((X1)=(^[X7:$o]:(($true))))&((X6)=(X5))))))))), file('/export/starexec/sandbox/tmp/tmp.rQ9sH7JsDE/E---3.1_21429.p', caseood)). 0.19/0.52 thf(f2f, axiom, ((f2 @ (~($true)))<=>~($true)), file('/export/starexec/sandbox/tmp/tmp.rQ9sH7JsDE/E---3.1_21429.p', f2f)). 0.19/0.52 thf(f2t, axiom, ((f2 @ (($true)))<=>($true)), file('/export/starexec/sandbox/tmp/tmp.rQ9sH7JsDE/E---3.1_21429.p', f2t)). 0.19/0.52 thf(conj, conjecture, ![X2:$i, X3:$i, X4:$i, X5:$i]:((((((case @ f1 @ X2 @ X3 @ X4 @ X5)=(X3))&((case @ f3 @ X2 @ X3 @ X4 @ X5)=(X5)))&((case @ f2 @ X2 @ X3 @ X4 @ X5)=(X4)))&((case @ f0 @ X2 @ X3 @ X4 @ X5)=(X2)))), file('/export/starexec/sandbox/tmp/tmp.rQ9sH7JsDE/E---3.1_21429.p', conj)). 0.19/0.52 thf(c_0_11, axiom, (((~(~($true))|(f0 @ $true))&(~($true)|(f0 @ $false)))<=>~($true)), inference(fool_unroll,[status(thm)],[f0f])). 0.19/0.52 thf(c_0_12, axiom, (((~(~($true))|(f3 @ $true))&(~($true)|(f3 @ $false)))<=>$true), inference(fool_unroll,[status(thm)],[f3f])). 0.19/0.52 thf(c_0_13, plain, ((~(f0 @ $true)|~($true))&(($true)|(f0 @ $true))), inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[f0t])])). 0.19/0.52 thf(c_0_14, plain, ![X70:$i, X71:$o, X72:$o, X73:$o]:((((((((((~(f0 @ ((X73)))|($true)|(~(f0 @ ((X72)))|(X72)|(((f0)=($not))|(~(f0 @ ((X71)))|~($true))))|~(epred4_0 @ X70))&(~($true)|(f0 @ ((X73)))|(~(f0 @ ((X72)))|(X72)|(((f0)=($not))|(~(f0 @ ((X71)))|~($true))))|~(epred4_0 @ X70)))&(((X70)=(esk4_0))|(~(f0 @ ((X72)))|(X72)|(((f0)=($not))|(~(f0 @ ((X71)))|~($true))))|~(epred4_0 @ X70)))&(((~(f0 @ ((X73)))|($true)|(~(X72)|(f0 @ ((X72)))|(((f0)=($not))|(~(f0 @ ((X71)))|~($true))))|~(epred4_0 @ X70))&(~($true)|(f0 @ ((X73)))|(~(X72)|(f0 @ ((X72)))|(((f0)=($not))|(~(f0 @ ((X71)))|~($true))))|~(epred4_0 @ X70)))&(((X70)=(esk4_0))|(~(X72)|(f0 @ ((X72)))|(((f0)=($not))|(~(f0 @ ((X71)))|~($true))))|~(epred4_0 @ X70))))&(((~(f0 @ ((X73)))|($true)|(((X70)=(esk3_0))|(((f0)=($not))|(~(f0 @ ((X71)))|~($true))))|~(epred4_0 @ X70))&(~($true)|(f0 @ ((X73)))|(((X70)=(esk3_0))|(((f0)=($not))|(~(f0 @ ((X71)))|~($true))))|~(epred4_0 @ X70)))&(((X70)=(esk4_0))|(((X70)=(esk3_0))|(((f0)=($not))|(~(f0 @ ((X71)))|~($true))))|~(epred4_0 @ X70))))&(((((~(f0 @ ((X73)))|($true)|(~(f0 @ ((X72)))|(X72)|(((X70)=(esk2_0))|(~(f0 @ ((X71)))|~($true))))|~(epred4_0 @ X70))&(~($true)|(f0 @ ((X73)))|(~(f0 @ ((X72)))|(X72)|(((X70)=(esk2_0))|(~(f0 @ ((X71)))|~($true))))|~(epred4_0 @ X70)))&(((X70)=(esk4_0))|(~(f0 @ ((X72)))|(X72)|(((X70)=(esk2_0))|(~(f0 @ ((X71)))|~($true))))|~(epred4_0 @ X70)))&(((~(f0 @ ((X73)))|($true)|(~(X72)|(f0 @ ((X72)))|(((X70)=(esk2_0))|(~(f0 @ ((X71)))|~($true))))|~(epred4_0 @ X70))&(~($true)|(f0 @ ((X73)))|(~(X72)|(f0 @ ((X72)))|(((X70)=(esk2_0))|(~(f0 @ ((X71)))|~($true))))|~(epred4_0 @ X70)))&(((X70)=(esk4_0))|(~(X72)|(f0 @ ((X72)))|(((X70)=(esk2_0))|(~(f0 @ ((X71)))|~($true))))|~(epred4_0 @ X70))))&(((~(f0 @ ((X73)))|($true)|(((X70)=(esk3_0))|(((X70)=(esk2_0))|(~(f0 @ ((X71)))|~($true))))|~(epred4_0 @ X70))&(~($true)|(f0 @ ((X73)))|(((X70)=(esk3_0))|(((X70)=(esk2_0))|(~(f0 @ ((X71)))|~($true))))|~(epred4_0 @ X70)))&(((X70)=(esk4_0))|(((X70)=(esk3_0))|(((X70)=(esk2_0))|(~(f0 @ ((X71)))|~($true))))|~(epred4_0 @ X70)))))&((((((~(f0 @ ((X73)))|($true)|(~(f0 @ ((X72)))|(X72)|(((f0)=($not))|(($true)|(f0 @ ((X71))))))|~(epred4_0 @ X70))&(~($true)|(f0 @ ((X73)))|(~(f0 @ ((X72)))|(X72)|(((f0)=($not))|(($true)|(f0 @ ((X71))))))|~(epred4_0 @ X70)))&(((X70)=(esk4_0))|(~(f0 @ ((X72)))|(X72)|(((f0)=($not))|(($true)|(f0 @ ((X71))))))|~(epred4_0 @ X70)))&(((~(f0 @ ((X73)))|($true)|(~(X72)|(f0 @ ((X72)))|(((f0)=($not))|(($true)|(f0 @ ((X71))))))|~(epred4_0 @ X70))&(~($true)|(f0 @ ((X73)))|(~(X72)|(f0 @ ((X72)))|(((f0)=($not))|(($true)|(f0 @ ((X71))))))|~(epred4_0 @ X70)))&(((X70)=(esk4_0))|(~(X72)|(f0 @ ((X72)))|(((f0)=($not))|(($true)|(f0 @ ((X71))))))|~(epred4_0 @ X70))))&(((~(f0 @ ((X73)))|($true)|(((X70)=(esk3_0))|(((f0)=($not))|(($true)|(f0 @ ((X71))))))|~(epred4_0 @ X70))&(~($true)|(f0 @ ((X73)))|(((X70)=(esk3_0))|(((f0)=($not))|(($true)|(f0 @ ((X71))))))|~(epred4_0 @ X70)))&(((X70)=(esk4_0))|(((X70)=(esk3_0))|(((f0)=($not))|(($true)|(f0 @ ((X71))))))|~(epred4_0 @ X70))))&(((((~(f0 @ ((X73)))|($true)|(~(f0 @ ((X72)))|(X72)|(((X70)=(esk2_0))|(($true)|(f0 @ ((X71))))))|~(epred4_0 @ X70))&(~($true)|(f0 @ ((X73)))|(~(f0 @ ((X72)))|(X72)|(((X70)=(esk2_0))|(($true)|(f0 @ ((X71))))))|~(epred4_0 @ X70)))&(((X70)=(esk4_0))|(~(f0 @ ((X72)))|(X72)|(((X70)=(esk2_0))|(($true)|(f0 @ ((X71))))))|~(epred4_0 @ X70)))&(((~(f0 @ ((X73)))|($true)|(~(X72)|(f0 @ ((X72)))|(((X70)=(esk2_0))|(($true)|(f0 @ ((X71))))))|~(epred4_0 @ X70))&(~($true)|(f0 @ ((X73)))|(~(X72)|(f0 @ ((X72)))|(((X70)=(esk2_0))|(($true)|(f0 @ ((X71))))))|~(epred4_0 @ X70)))&(((X70)=(esk4_0))|(~(X72)|(f0 @ ((X72)))|(((X70)=(esk2_0))|(($true)|(f0 @ ((X71))))))|~(epred4_0 @ X70))))&(((~(f0 @ ((X73)))|($true)|(((X70)=(esk3_0))|(((X70)=(esk2_0))|(($true)|(f0 @ ((X71))))))|~(epred4_0 @ X70))&(~($true)|(f0 @ ((X73)))|(((X70)=(esk3_0))|(((X70)=(esk2_0))|(($true)|(f0 @ ((X71))))))|~(epred4_0 @ X70)))&(((X70)=(esk4_0))|(((X70)=(esk3_0))|(((X70)=(esk2_0))|(($true)|(f0 @ ((X71))))))|~(epred4_0 @ X70))))))&((((((~(f0 @ ((X73)))|($true)|(~(f0 @ ((X72)))|(X72)|(((f0)=($not))|((X70)=(esk1_0))))|~(epred4_0 @ X70))&(~($true)|(f0 @ ((X73)))|(~(f0 @ ((X72)))|(X72)|(((f0)=($not))|((X70)=(esk1_0))))|~(epred4_0 @ X70)))&(((X70)=(esk4_0))|(~(f0 @ ((X72)))|(X72)|(((f0)=($not))|((X70)=(esk1_0))))|~(epred4_0 @ X70)))&(((~(f0 @ ((X73)))|($true)|(~(X72)|(f0 @ ((X72)))|(((f0)=($not))|((X70)=(esk1_0))))|~(epred4_0 @ X70))&(~($true)|(f0 @ ((X73)))|(~(X72)|(f0 @ ((X72)))|(((f0)=($not))|((X70)=(esk1_0))))|~(epred4_0 @ X70)))&(((X70)=(esk4_0))|(~(X72)|(f0 @ ((X72)))|(((f0)=($not))|((X70)=(esk1_0))))|~(epred4_0 @ X70))))&(((~(f0 @ ((X73)))|($true)|(((X70)=(esk3_0))|(((f0)=($not))|((X70)=(esk1_0))))|~(epred4_0 @ X70))&(~($true)|(f0 @ ((X73)))|(((X70)=(esk3_0))|(((f0)=($not))|((X70)=(esk1_0))))|~(epred4_0 @ X70)))&(((X70)=(esk4_0))|(((X70)=(esk3_0))|(((f0)=($not))|((X70)=(esk1_0))))|~(epred4_0 @ X70))))&(((((~(f0 @ ((X73)))|($true)|(~(f0 @ ((X72)))|(X72)|(((X70)=(esk2_0))|((X70)=(esk1_0))))|~(epred4_0 @ X70))&(~($true)|(f0 @ ((X73)))|(~(f0 @ ((X72)))|(X72)|(((X70)=(esk2_0))|((X70)=(esk1_0))))|~(epred4_0 @ X70)))&(((X70)=(esk4_0))|(~(f0 @ ((X72)))|(X72)|(((X70)=(esk2_0))|((X70)=(esk1_0))))|~(epred4_0 @ X70)))&(((~(f0 @ ((X73)))|($true)|(~(X72)|(f0 @ ((X72)))|(((X70)=(esk2_0))|((X70)=(esk1_0))))|~(epred4_0 @ X70))&(~($true)|(f0 @ ((X73)))|(~(X72)|(f0 @ ((X72)))|(((X70)=(esk2_0))|((X70)=(esk1_0))))|~(epred4_0 @ X70)))&(((X70)=(esk4_0))|(~(X72)|(f0 @ ((X72)))|(((X70)=(esk2_0))|((X70)=(esk1_0))))|~(epred4_0 @ X70))))&(((~(f0 @ ((X73)))|($true)|(((X70)=(esk3_0))|(((X70)=(esk2_0))|((X70)=(esk1_0))))|~(epred4_0 @ X70))&(~($true)|(f0 @ ((X73)))|(((X70)=(esk3_0))|(((X70)=(esk2_0))|((X70)=(esk1_0))))|~(epred4_0 @ X70)))&(((X70)=(esk4_0))|(((X70)=(esk3_0))|(((X70)=(esk2_0))|((X70)=(esk1_0))))|~(epred4_0 @ X70))))))&(((((((~(epred14_1 @ X70)|(epred14_1 @ X70)|($true)|((X70)!=(esk1_0))|(epred4_0 @ X70))&(~(f0 @ $false)|(epred14_1 @ X70)|($true)|((X70)!=(esk1_0))|(epred4_0 @ X70)))&((~(epred14_1 @ X70)|~(f0 @ $true)|($true)|((X70)!=(esk1_0))|(epred4_0 @ X70))&(~(f0 @ $false)|~(f0 @ $true)|($true)|((X70)!=(esk1_0))|(epred4_0 @ X70))))&((~(epred14_1 @ X70)|(f0 @ $true)|~($true)|((X70)!=(esk1_0))|(epred4_0 @ X70))&((epred14_1 @ X70)|(f0 @ $false)|~($true)|((X70)!=(esk1_0))|(epred4_0 @ X70))))&(((f0)!=($not))|((X70)!=(esk2_0))|(epred4_0 @ X70)))&((((~(epred15_1 @ X70)|(epred15_1 @ X70)|~(epred15_1 @ X70)|((X70)!=(esk3_0))|(epred4_0 @ X70))&(~(f0 @ $false)|(epred15_1 @ X70)|~(epred15_1 @ X70)|((X70)!=(esk3_0))|(epred4_0 @ X70)))&((~(epred15_1 @ X70)|~(f0 @ $true)|~(epred15_1 @ X70)|((X70)!=(esk3_0))|(epred4_0 @ X70))&(~(f0 @ $false)|~(f0 @ $true)|~(epred15_1 @ X70)|((X70)!=(esk3_0))|(epred4_0 @ X70))))&((~(epred15_1 @ X70)|(f0 @ $true)|(epred15_1 @ X70)|((X70)!=(esk3_0))|(epred4_0 @ X70))&((epred15_1 @ X70)|(f0 @ $false)|(epred15_1 @ X70)|((X70)!=(esk3_0))|(epred4_0 @ X70)))))&((((~(epred16_1 @ X70)|(epred16_1 @ X70)|~($true)|((X70)!=(esk4_0))|(epred4_0 @ X70))&(~(f0 @ $false)|(epred16_1 @ X70)|~($true)|((X70)!=(esk4_0))|(epred4_0 @ X70)))&((~(epred16_1 @ X70)|~(f0 @ $true)|~($true)|((X70)!=(esk4_0))|(epred4_0 @ X70))&(~(f0 @ $false)|~(f0 @ $true)|~($true)|((X70)!=(esk4_0))|(epred4_0 @ X70))))&((~(epred16_1 @ X70)|(f0 @ $true)|($true)|((X70)!=(esk4_0))|(epred4_0 @ X70))&((epred16_1 @ X70)|(f0 @ $false)|($true)|((X70)!=(esk4_0))|(epred4_0 @ X70))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])])])])])])). 0.19/0.52 thf(c_0_15, plain, ((((($true)|~($true)|~($true))&(~(f0 @ $false)|~($true)|~($true)))&((($true)|~(f0 @ $true)|~($true))&(~(f0 @ $false)|~(f0 @ $true)|~($true))))&((($true)|(f0 @ $true)|($true))&(~($true)|(f0 @ $false)|($true)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])). 0.19/0.52 thf(c_0_16, plain, ((((($true)|~($true)|($true))&(~(f3 @ $false)|~($true)|($true)))&((($true)|~(f3 @ $true)|($true))&(~(f3 @ $false)|~(f3 @ $true)|($true))))&((($true)|(f3 @ $true)|~($true))&(~($true)|(f3 @ $false)|~($true)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])). 0.19/0.52 thf(c_0_17, plain, (~((f0 @ (($true))))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_13])). 0.19/0.52 thf(c_0_18, plain, ![X2:$i]:(((epred14_1 @ X2)|(f0 @ (~($true)))|(epred4_0 @ X2)|~(($true))|((X2)!=(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_14])). 0.19/0.52 thf(c_0_19, plain, (~((f0 @ (~($true))))|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_15])). 0.19/0.52 thf(c_0_20, plain, ![X56:$i, X57:$o, X58:$o, X59:$o]:((((((((((~(f3 @ ((X59)))|($true)|(~(f3 @ ((X58)))|(X58)|(((f3)=($not))|(~(f3 @ ((X57)))|~($true))))|~(epred2_0 @ X56))&(~($true)|(f3 @ ((X59)))|(~(f3 @ ((X58)))|(X58)|(((f3)=($not))|(~(f3 @ ((X57)))|~($true))))|~(epred2_0 @ X56)))&(((X56)=(esk4_0))|(~(f3 @ ((X58)))|(X58)|(((f3)=($not))|(~(f3 @ ((X57)))|~($true))))|~(epred2_0 @ X56)))&(((~(f3 @ ((X59)))|($true)|(~(X58)|(f3 @ ((X58)))|(((f3)=($not))|(~(f3 @ ((X57)))|~($true))))|~(epred2_0 @ X56))&(~($true)|(f3 @ ((X59)))|(~(X58)|(f3 @ ((X58)))|(((f3)=($not))|(~(f3 @ ((X57)))|~($true))))|~(epred2_0 @ X56)))&(((X56)=(esk4_0))|(~(X58)|(f3 @ ((X58)))|(((f3)=($not))|(~(f3 @ ((X57)))|~($true))))|~(epred2_0 @ X56))))&(((~(f3 @ ((X59)))|($true)|(((X56)=(esk3_0))|(((f3)=($not))|(~(f3 @ ((X57)))|~($true))))|~(epred2_0 @ X56))&(~($true)|(f3 @ ((X59)))|(((X56)=(esk3_0))|(((f3)=($not))|(~(f3 @ ((X57)))|~($true))))|~(epred2_0 @ X56)))&(((X56)=(esk4_0))|(((X56)=(esk3_0))|(((f3)=($not))|(~(f3 @ ((X57)))|~($true))))|~(epred2_0 @ X56))))&(((((~(f3 @ ((X59)))|($true)|(~(f3 @ ((X58)))|(X58)|(((X56)=(esk2_0))|(~(f3 @ ((X57)))|~($true))))|~(epred2_0 @ X56))&(~($true)|(f3 @ ((X59)))|(~(f3 @ ((X58)))|(X58)|(((X56)=(esk2_0))|(~(f3 @ ((X57)))|~($true))))|~(epred2_0 @ X56)))&(((X56)=(esk4_0))|(~(f3 @ ((X58)))|(X58)|(((X56)=(esk2_0))|(~(f3 @ ((X57)))|~($true))))|~(epred2_0 @ X56)))&(((~(f3 @ ((X59)))|($true)|(~(X58)|(f3 @ ((X58)))|(((X56)=(esk2_0))|(~(f3 @ ((X57)))|~($true))))|~(epred2_0 @ X56))&(~($true)|(f3 @ ((X59)))|(~(X58)|(f3 @ ((X58)))|(((X56)=(esk2_0))|(~(f3 @ ((X57)))|~($true))))|~(epred2_0 @ X56)))&(((X56)=(esk4_0))|(~(X58)|(f3 @ ((X58)))|(((X56)=(esk2_0))|(~(f3 @ ((X57)))|~($true))))|~(epred2_0 @ X56))))&(((~(f3 @ ((X59)))|($true)|(((X56)=(esk3_0))|(((X56)=(esk2_0))|(~(f3 @ ((X57)))|~($true))))|~(epred2_0 @ X56))&(~($true)|(f3 @ ((X59)))|(((X56)=(esk3_0))|(((X56)=(esk2_0))|(~(f3 @ ((X57)))|~($true))))|~(epred2_0 @ X56)))&(((X56)=(esk4_0))|(((X56)=(esk3_0))|(((X56)=(esk2_0))|(~(f3 @ ((X57)))|~($true))))|~(epred2_0 @ X56)))))&((((((~(f3 @ ((X59)))|($true)|(~(f3 @ ((X58)))|(X58)|(((f3)=($not))|(($true)|(f3 @ ((X57))))))|~(epred2_0 @ X56))&(~($true)|(f3 @ ((X59)))|(~(f3 @ ((X58)))|(X58)|(((f3)=($not))|(($true)|(f3 @ ((X57))))))|~(epred2_0 @ X56)))&(((X56)=(esk4_0))|(~(f3 @ ((X58)))|(X58)|(((f3)=($not))|(($true)|(f3 @ ((X57))))))|~(epred2_0 @ X56)))&(((~(f3 @ ((X59)))|($true)|(~(X58)|(f3 @ ((X58)))|(((f3)=($not))|(($true)|(f3 @ ((X57))))))|~(epred2_0 @ X56))&(~($true)|(f3 @ ((X59)))|(~(X58)|(f3 @ ((X58)))|(((f3)=($not))|(($true)|(f3 @ ((X57))))))|~(epred2_0 @ X56)))&(((X56)=(esk4_0))|(~(X58)|(f3 @ ((X58)))|(((f3)=($not))|(($true)|(f3 @ ((X57))))))|~(epred2_0 @ X56))))&(((~(f3 @ ((X59)))|($true)|(((X56)=(esk3_0))|(((f3)=($not))|(($true)|(f3 @ ((X57))))))|~(epred2_0 @ X56))&(~($true)|(f3 @ ((X59)))|(((X56)=(esk3_0))|(((f3)=($not))|(($true)|(f3 @ ((X57))))))|~(epred2_0 @ X56)))&(((X56)=(esk4_0))|(((X56)=(esk3_0))|(((f3)=($not))|(($true)|(f3 @ ((X57))))))|~(epred2_0 @ X56))))&(((((~(f3 @ ((X59)))|($true)|(~(f3 @ ((X58)))|(X58)|(((X56)=(esk2_0))|(($true)|(f3 @ ((X57))))))|~(epred2_0 @ X56))&(~($true)|(f3 @ ((X59)))|(~(f3 @ ((X58)))|(X58)|(((X56)=(esk2_0))|(($true)|(f3 @ ((X57))))))|~(epred2_0 @ X56)))&(((X56)=(esk4_0))|(~(f3 @ ((X58)))|(X58)|(((X56)=(esk2_0))|(($true)|(f3 @ ((X57))))))|~(epred2_0 @ X56)))&(((~(f3 @ ((X59)))|($true)|(~(X58)|(f3 @ ((X58)))|(((X56)=(esk2_0))|(($true)|(f3 @ ((X57))))))|~(epred2_0 @ X56))&(~($true)|(f3 @ ((X59)))|(~(X58)|(f3 @ ((X58)))|(((X56)=(esk2_0))|(($true)|(f3 @ ((X57))))))|~(epred2_0 @ X56)))&(((X56)=(esk4_0))|(~(X58)|(f3 @ ((X58)))|(((X56)=(esk2_0))|(($true)|(f3 @ ((X57))))))|~(epred2_0 @ X56))))&(((~(f3 @ ((X59)))|($true)|(((X56)=(esk3_0))|(((X56)=(esk2_0))|(($true)|(f3 @ ((X57))))))|~(epred2_0 @ X56))&(~($true)|(f3 @ ((X59)))|(((X56)=(esk3_0))|(((X56)=(esk2_0))|(($true)|(f3 @ ((X57))))))|~(epred2_0 @ X56)))&(((X56)=(esk4_0))|(((X56)=(esk3_0))|(((X56)=(esk2_0))|(($true)|(f3 @ ((X57))))))|~(epred2_0 @ X56))))))&((((((~(f3 @ ((X59)))|($true)|(~(f3 @ ((X58)))|(X58)|(((f3)=($not))|((X56)=(esk1_0))))|~(epred2_0 @ X56))&(~($true)|(f3 @ ((X59)))|(~(f3 @ ((X58)))|(X58)|(((f3)=($not))|((X56)=(esk1_0))))|~(epred2_0 @ X56)))&(((X56)=(esk4_0))|(~(f3 @ ((X58)))|(X58)|(((f3)=($not))|((X56)=(esk1_0))))|~(epred2_0 @ X56)))&(((~(f3 @ ((X59)))|($true)|(~(X58)|(f3 @ ((X58)))|(((f3)=($not))|((X56)=(esk1_0))))|~(epred2_0 @ X56))&(~($true)|(f3 @ ((X59)))|(~(X58)|(f3 @ ((X58)))|(((f3)=($not))|((X56)=(esk1_0))))|~(epred2_0 @ X56)))&(((X56)=(esk4_0))|(~(X58)|(f3 @ ((X58)))|(((f3)=($not))|((X56)=(esk1_0))))|~(epred2_0 @ X56))))&(((~(f3 @ ((X59)))|($true)|(((X56)=(esk3_0))|(((f3)=($not))|((X56)=(esk1_0))))|~(epred2_0 @ X56))&(~($true)|(f3 @ ((X59)))|(((X56)=(esk3_0))|(((f3)=($not))|((X56)=(esk1_0))))|~(epred2_0 @ X56)))&(((X56)=(esk4_0))|(((X56)=(esk3_0))|(((f3)=($not))|((X56)=(esk1_0))))|~(epred2_0 @ X56))))&(((((~(f3 @ ((X59)))|($true)|(~(f3 @ ((X58)))|(X58)|(((X56)=(esk2_0))|((X56)=(esk1_0))))|~(epred2_0 @ X56))&(~($true)|(f3 @ ((X59)))|(~(f3 @ ((X58)))|(X58)|(((X56)=(esk2_0))|((X56)=(esk1_0))))|~(epred2_0 @ X56)))&(((X56)=(esk4_0))|(~(f3 @ ((X58)))|(X58)|(((X56)=(esk2_0))|((X56)=(esk1_0))))|~(epred2_0 @ X56)))&(((~(f3 @ ((X59)))|($true)|(~(X58)|(f3 @ ((X58)))|(((X56)=(esk2_0))|((X56)=(esk1_0))))|~(epred2_0 @ X56))&(~($true)|(f3 @ ((X59)))|(~(X58)|(f3 @ ((X58)))|(((X56)=(esk2_0))|((X56)=(esk1_0))))|~(epred2_0 @ X56)))&(((X56)=(esk4_0))|(~(X58)|(f3 @ ((X58)))|(((X56)=(esk2_0))|((X56)=(esk1_0))))|~(epred2_0 @ X56))))&(((~(f3 @ ((X59)))|($true)|(((X56)=(esk3_0))|(((X56)=(esk2_0))|((X56)=(esk1_0))))|~(epred2_0 @ X56))&(~($true)|(f3 @ ((X59)))|(((X56)=(esk3_0))|(((X56)=(esk2_0))|((X56)=(esk1_0))))|~(epred2_0 @ X56)))&(((X56)=(esk4_0))|(((X56)=(esk3_0))|(((X56)=(esk2_0))|((X56)=(esk1_0))))|~(epred2_0 @ X56))))))&(((((((~(epred8_1 @ X56)|(epred8_1 @ X56)|($true)|((X56)!=(esk1_0))|(epred2_0 @ X56))&(~(f3 @ $false)|(epred8_1 @ X56)|($true)|((X56)!=(esk1_0))|(epred2_0 @ X56)))&((~(epred8_1 @ X56)|~(f3 @ $true)|($true)|((X56)!=(esk1_0))|(epred2_0 @ X56))&(~(f3 @ $false)|~(f3 @ $true)|($true)|((X56)!=(esk1_0))|(epred2_0 @ X56))))&((~(epred8_1 @ X56)|(f3 @ $true)|~($true)|((X56)!=(esk1_0))|(epred2_0 @ X56))&((epred8_1 @ X56)|(f3 @ $false)|~($true)|((X56)!=(esk1_0))|(epred2_0 @ X56))))&(((f3)!=($not))|((X56)!=(esk2_0))|(epred2_0 @ X56)))&((((~(epred9_1 @ X56)|(epred9_1 @ X56)|~(epred9_1 @ X56)|((X56)!=(esk3_0))|(epred2_0 @ X56))&(~(f3 @ $false)|(epred9_1 @ X56)|~(epred9_1 @ X56)|((X56)!=(esk3_0))|(epred2_0 @ X56)))&((~(epred9_1 @ X56)|~(f3 @ $true)|~(epred9_1 @ X56)|((X56)!=(esk3_0))|(epred2_0 @ X56))&(~(f3 @ $false)|~(f3 @ $true)|~(epred9_1 @ X56)|((X56)!=(esk3_0))|(epred2_0 @ X56))))&((~(epred9_1 @ X56)|(f3 @ $true)|(epred9_1 @ X56)|((X56)!=(esk3_0))|(epred2_0 @ X56))&((epred9_1 @ X56)|(f3 @ $false)|(epred9_1 @ X56)|((X56)!=(esk3_0))|(epred2_0 @ X56)))))&((((~(epred10_1 @ X56)|(epred10_1 @ X56)|~($true)|((X56)!=(esk4_0))|(epred2_0 @ X56))&(~(f3 @ $false)|(epred10_1 @ X56)|~($true)|((X56)!=(esk4_0))|(epred2_0 @ X56)))&((~(epred10_1 @ X56)|~(f3 @ $true)|~($true)|((X56)!=(esk4_0))|(epred2_0 @ X56))&(~(f3 @ $false)|~(f3 @ $true)|~($true)|((X56)!=(esk4_0))|(epred2_0 @ X56))))&((~(epred10_1 @ X56)|(f3 @ $true)|($true)|((X56)!=(esk4_0))|(epred2_0 @ X56))&((epred10_1 @ X56)|(f3 @ $false)|($true)|((X56)!=(esk4_0))|(epred2_0 @ X56))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])])])])])])). 0.19/0.52 thf(c_0_21, plain, ((f3 @ (~($true)))|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_16])). 0.19/0.52 thf(c_0_22, plain, ![X49:$i, X50:$o, X51:$o, X52:$o]:((((((((((~(f1 @ ((X52)))|($true)|(~(f1 @ ((X51)))|(X51)|(((f1)=($not))|(~(f1 @ ((X50)))|~($true))))|~(epred1_0 @ X49))&(~($true)|(f1 @ ((X52)))|(~(f1 @ ((X51)))|(X51)|(((f1)=($not))|(~(f1 @ ((X50)))|~($true))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(~(f1 @ ((X51)))|(X51)|(((f1)=($not))|(~(f1 @ ((X50)))|~($true))))|~(epred1_0 @ X49)))&(((~(f1 @ ((X52)))|($true)|(~(X51)|(f1 @ ((X51)))|(((f1)=($not))|(~(f1 @ ((X50)))|~($true))))|~(epred1_0 @ X49))&(~($true)|(f1 @ ((X52)))|(~(X51)|(f1 @ ((X51)))|(((f1)=($not))|(~(f1 @ ((X50)))|~($true))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(~(X51)|(f1 @ ((X51)))|(((f1)=($not))|(~(f1 @ ((X50)))|~($true))))|~(epred1_0 @ X49))))&(((~(f1 @ ((X52)))|($true)|(((X49)=(esk3_0))|(((f1)=($not))|(~(f1 @ ((X50)))|~($true))))|~(epred1_0 @ X49))&(~($true)|(f1 @ ((X52)))|(((X49)=(esk3_0))|(((f1)=($not))|(~(f1 @ ((X50)))|~($true))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(((X49)=(esk3_0))|(((f1)=($not))|(~(f1 @ ((X50)))|~($true))))|~(epred1_0 @ X49))))&(((((~(f1 @ ((X52)))|($true)|(~(f1 @ ((X51)))|(X51)|(((X49)=(esk2_0))|(~(f1 @ ((X50)))|~($true))))|~(epred1_0 @ X49))&(~($true)|(f1 @ ((X52)))|(~(f1 @ ((X51)))|(X51)|(((X49)=(esk2_0))|(~(f1 @ ((X50)))|~($true))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(~(f1 @ ((X51)))|(X51)|(((X49)=(esk2_0))|(~(f1 @ ((X50)))|~($true))))|~(epred1_0 @ X49)))&(((~(f1 @ ((X52)))|($true)|(~(X51)|(f1 @ ((X51)))|(((X49)=(esk2_0))|(~(f1 @ ((X50)))|~($true))))|~(epred1_0 @ X49))&(~($true)|(f1 @ ((X52)))|(~(X51)|(f1 @ ((X51)))|(((X49)=(esk2_0))|(~(f1 @ ((X50)))|~($true))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(~(X51)|(f1 @ ((X51)))|(((X49)=(esk2_0))|(~(f1 @ ((X50)))|~($true))))|~(epred1_0 @ X49))))&(((~(f1 @ ((X52)))|($true)|(((X49)=(esk3_0))|(((X49)=(esk2_0))|(~(f1 @ ((X50)))|~($true))))|~(epred1_0 @ X49))&(~($true)|(f1 @ ((X52)))|(((X49)=(esk3_0))|(((X49)=(esk2_0))|(~(f1 @ ((X50)))|~($true))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(((X49)=(esk3_0))|(((X49)=(esk2_0))|(~(f1 @ ((X50)))|~($true))))|~(epred1_0 @ X49)))))&((((((~(f1 @ ((X52)))|($true)|(~(f1 @ ((X51)))|(X51)|(((f1)=($not))|(($true)|(f1 @ ((X50))))))|~(epred1_0 @ X49))&(~($true)|(f1 @ ((X52)))|(~(f1 @ ((X51)))|(X51)|(((f1)=($not))|(($true)|(f1 @ ((X50))))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(~(f1 @ ((X51)))|(X51)|(((f1)=($not))|(($true)|(f1 @ ((X50))))))|~(epred1_0 @ X49)))&(((~(f1 @ ((X52)))|($true)|(~(X51)|(f1 @ ((X51)))|(((f1)=($not))|(($true)|(f1 @ ((X50))))))|~(epred1_0 @ X49))&(~($true)|(f1 @ ((X52)))|(~(X51)|(f1 @ ((X51)))|(((f1)=($not))|(($true)|(f1 @ ((X50))))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(~(X51)|(f1 @ ((X51)))|(((f1)=($not))|(($true)|(f1 @ ((X50))))))|~(epred1_0 @ X49))))&(((~(f1 @ ((X52)))|($true)|(((X49)=(esk3_0))|(((f1)=($not))|(($true)|(f1 @ ((X50))))))|~(epred1_0 @ X49))&(~($true)|(f1 @ ((X52)))|(((X49)=(esk3_0))|(((f1)=($not))|(($true)|(f1 @ ((X50))))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(((X49)=(esk3_0))|(((f1)=($not))|(($true)|(f1 @ ((X50))))))|~(epred1_0 @ X49))))&(((((~(f1 @ ((X52)))|($true)|(~(f1 @ ((X51)))|(X51)|(((X49)=(esk2_0))|(($true)|(f1 @ ((X50))))))|~(epred1_0 @ X49))&(~($true)|(f1 @ ((X52)))|(~(f1 @ ((X51)))|(X51)|(((X49)=(esk2_0))|(($true)|(f1 @ ((X50))))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(~(f1 @ ((X51)))|(X51)|(((X49)=(esk2_0))|(($true)|(f1 @ ((X50))))))|~(epred1_0 @ X49)))&(((~(f1 @ ((X52)))|($true)|(~(X51)|(f1 @ ((X51)))|(((X49)=(esk2_0))|(($true)|(f1 @ ((X50))))))|~(epred1_0 @ X49))&(~($true)|(f1 @ ((X52)))|(~(X51)|(f1 @ ((X51)))|(((X49)=(esk2_0))|(($true)|(f1 @ ((X50))))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(~(X51)|(f1 @ ((X51)))|(((X49)=(esk2_0))|(($true)|(f1 @ ((X50))))))|~(epred1_0 @ X49))))&(((~(f1 @ ((X52)))|($true)|(((X49)=(esk3_0))|(((X49)=(esk2_0))|(($true)|(f1 @ ((X50))))))|~(epred1_0 @ X49))&(~($true)|(f1 @ ((X52)))|(((X49)=(esk3_0))|(((X49)=(esk2_0))|(($true)|(f1 @ ((X50))))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(((X49)=(esk3_0))|(((X49)=(esk2_0))|(($true)|(f1 @ ((X50))))))|~(epred1_0 @ X49))))))&((((((~(f1 @ ((X52)))|($true)|(~(f1 @ ((X51)))|(X51)|(((f1)=($not))|((X49)=(esk1_0))))|~(epred1_0 @ X49))&(~($true)|(f1 @ ((X52)))|(~(f1 @ ((X51)))|(X51)|(((f1)=($not))|((X49)=(esk1_0))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(~(f1 @ ((X51)))|(X51)|(((f1)=($not))|((X49)=(esk1_0))))|~(epred1_0 @ X49)))&(((~(f1 @ ((X52)))|($true)|(~(X51)|(f1 @ ((X51)))|(((f1)=($not))|((X49)=(esk1_0))))|~(epred1_0 @ X49))&(~($true)|(f1 @ ((X52)))|(~(X51)|(f1 @ ((X51)))|(((f1)=($not))|((X49)=(esk1_0))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(~(X51)|(f1 @ ((X51)))|(((f1)=($not))|((X49)=(esk1_0))))|~(epred1_0 @ X49))))&(((~(f1 @ ((X52)))|($true)|(((X49)=(esk3_0))|(((f1)=($not))|((X49)=(esk1_0))))|~(epred1_0 @ X49))&(~($true)|(f1 @ ((X52)))|(((X49)=(esk3_0))|(((f1)=($not))|((X49)=(esk1_0))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(((X49)=(esk3_0))|(((f1)=($not))|((X49)=(esk1_0))))|~(epred1_0 @ X49))))&(((((~(f1 @ ((X52)))|($true)|(~(f1 @ ((X51)))|(X51)|(((X49)=(esk2_0))|((X49)=(esk1_0))))|~(epred1_0 @ X49))&(~($true)|(f1 @ ((X52)))|(~(f1 @ ((X51)))|(X51)|(((X49)=(esk2_0))|((X49)=(esk1_0))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(~(f1 @ ((X51)))|(X51)|(((X49)=(esk2_0))|((X49)=(esk1_0))))|~(epred1_0 @ X49)))&(((~(f1 @ ((X52)))|($true)|(~(X51)|(f1 @ ((X51)))|(((X49)=(esk2_0))|((X49)=(esk1_0))))|~(epred1_0 @ X49))&(~($true)|(f1 @ ((X52)))|(~(X51)|(f1 @ ((X51)))|(((X49)=(esk2_0))|((X49)=(esk1_0))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(~(X51)|(f1 @ ((X51)))|(((X49)=(esk2_0))|((X49)=(esk1_0))))|~(epred1_0 @ X49))))&(((~(f1 @ ((X52)))|($true)|(((X49)=(esk3_0))|(((X49)=(esk2_0))|((X49)=(esk1_0))))|~(epred1_0 @ X49))&(~($true)|(f1 @ ((X52)))|(((X49)=(esk3_0))|(((X49)=(esk2_0))|((X49)=(esk1_0))))|~(epred1_0 @ X49)))&(((X49)=(esk4_0))|(((X49)=(esk3_0))|(((X49)=(esk2_0))|((X49)=(esk1_0))))|~(epred1_0 @ X49))))))&(((((((~(epred5_1 @ X49)|(epred5_1 @ X49)|($true)|((X49)!=(esk1_0))|(epred1_0 @ X49))&(~(f1 @ $false)|(epred5_1 @ X49)|($true)|((X49)!=(esk1_0))|(epred1_0 @ X49)))&((~(epred5_1 @ X49)|~(f1 @ $true)|($true)|((X49)!=(esk1_0))|(epred1_0 @ X49))&(~(f1 @ $false)|~(f1 @ $true)|($true)|((X49)!=(esk1_0))|(epred1_0 @ X49))))&((~(epred5_1 @ X49)|(f1 @ $true)|~($true)|((X49)!=(esk1_0))|(epred1_0 @ X49))&((epred5_1 @ X49)|(f1 @ $false)|~($true)|((X49)!=(esk1_0))|(epred1_0 @ X49))))&(((f1)!=($not))|((X49)!=(esk2_0))|(epred1_0 @ X49)))&((((~(epred6_1 @ X49)|(epred6_1 @ X49)|~(epred6_1 @ X49)|((X49)!=(esk3_0))|(epred1_0 @ X49))&(~(f1 @ $false)|(epred6_1 @ X49)|~(epred6_1 @ X49)|((X49)!=(esk3_0))|(epred1_0 @ X49)))&((~(epred6_1 @ X49)|~(f1 @ $true)|~(epred6_1 @ X49)|((X49)!=(esk3_0))|(epred1_0 @ X49))&(~(f1 @ $false)|~(f1 @ $true)|~(epred6_1 @ X49)|((X49)!=(esk3_0))|(epred1_0 @ X49))))&((~(epred6_1 @ X49)|(f1 @ $true)|(epred6_1 @ X49)|((X49)!=(esk3_0))|(epred1_0 @ X49))&((epred6_1 @ X49)|(f1 @ $false)|(epred6_1 @ X49)|((X49)!=(esk3_0))|(epred1_0 @ X49)))))&((((~(epred7_1 @ X49)|(epred7_1 @ X49)|~($true)|((X49)!=(esk4_0))|(epred1_0 @ X49))&(~(f1 @ $false)|(epred7_1 @ X49)|~($true)|((X49)!=(esk4_0))|(epred1_0 @ X49)))&((~(epred7_1 @ X49)|~(f1 @ $true)|~($true)|((X49)!=(esk4_0))|(epred1_0 @ X49))&(~(f1 @ $false)|~(f1 @ $true)|~($true)|((X49)!=(esk4_0))|(epred1_0 @ X49))))&((~(epred7_1 @ X49)|(f1 @ $true)|($true)|((X49)!=(esk4_0))|(epred1_0 @ X49))&((epred7_1 @ X49)|(f1 @ $false)|($true)|((X49)!=(esk4_0))|(epred1_0 @ X49))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])])])])])])). 0.19/0.52 thf(c_0_23, plain, ![X7:$o, X2:$i]:(((f0 @ ((X7)))|(f0 @ (($true)))|((f0)=($not))|((X2)=(esk1_0))|~((epred4_0 @ X2)))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_14])])])). 0.19/0.52 thf(c_0_24, plain, ~((f0 @ (($true)))), inference(cn,[status(thm)],[c_0_17])). 0.19/0.52 thf(c_0_25, plain, ![X8:$i > $o]:((?[X2:$i]:((X8 @ X2))=>(X8 @ (eps @ X8)))), inference(fof_simplification,[status(thm)],[choiceax])). 0.19/0.52 thf(c_0_26, plain, ![X2:$i]:(((f0 @ (($true)))|(epred4_0 @ X2)|~((epred14_1 @ X2))|~(($true))|((X2)!=(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_14])). 0.19/0.52 thf(c_0_27, plain, ![X2:$i]:(((epred4_0 @ X2)|(epred14_1 @ X2)|(f0 @ (~($true)))|((X2)!=(esk1_0)))), inference(cn,[status(thm)],[c_0_18])). 0.19/0.52 thf(c_0_28, plain, ~((f0 @ (~($true)))), inference(cn,[status(thm)],[c_0_19])). 0.19/0.52 thf(c_0_29, plain, ![X15:$o, X2:$i]:((((X2)=(esk4_0))|((f3)=($not))|~((f3 @ (~($true))))|~((f3 @ ((X15))))|~((epred2_0 @ X2)))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_20])])])). 0.19/0.52 thf(c_0_30, plain, (f3 @ (~($true))), inference(cn,[status(thm)],[c_0_21])). 0.19/0.52 thf(c_0_31, plain, ((~(f3 @ $true)|($true))&(~($true)|(f3 @ $true))), inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[f3t])])). 0.19/0.52 thf(c_0_32, axiom, (((~(~($true))|(f1 @ $true))&(~($true)|(f1 @ $false)))<=>$true), inference(fool_unroll,[status(thm)],[f1f])). 0.19/0.52 thf(c_0_33, plain, ![X2:$i]:(((epred1_0 @ X2)|((f1)!=($not))|((X2)!=(esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_22])). 0.19/0.52 thf(c_0_34, plain, ((~(f1 @ $true)|~($true))&(($true)|(f1 @ $true))), inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[f1t])])). 0.19/0.52 thf(c_0_35, plain, ((case)=(^[Z0/* 19 */:$o > $o, Z1:$i, Z2:$i, Z3:$i, Z4:$i]:(eps @ (^[Z5/* 9 */:$i]:(((((((Z0)=(^[Z6/* 4 */:$o]:(~($true))))&((Z5)=(Z1)))|(((Z0)=($not))&((Z5)=(Z2))))|(((Z0)=(^[Z6/* 3 */:$o]:((Z6))))&((Z5)=(Z3))))|(((Z0)=(^[Z6/* 3 */:$o]:(($true))))&(Z5)))))))), inference(fof_simplification,[status(thm)],[caseood])). 0.19/0.52 thf(c_0_36, plain, ![X2:$i]:(((($not)=(f0))|((X2)=(esk1_0))|~((epred4_0 @ X2)))), inference(sr,[status(thm)],[inference(condense,[status(thm)],[c_0_23]), c_0_24])). 0.19/0.52 thf(c_0_37, plain, ![X31:$i > $o, X32:$i]:((~(X31 @ X32)|(X31 @ (eps @ X31)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])])). 0.19/0.52 thf(c_0_38, plain, ![X2:$i]:(((epred4_0 @ X2)|(f0 @ (($true)))|((X2)!=(esk1_0))|~((epred14_1 @ X2)))), inference(cn,[status(thm)],[c_0_26])). 0.19/0.52 thf(c_0_39, plain, ((epred4_0 @ esk1_0)|(epred14_1 @ esk1_0)), inference(er,[status(thm)],[inference(sr,[status(thm)],[c_0_27, c_0_28])])). 0.19/0.52 thf(c_0_40, plain, ![X7:$o, X2:$i]:(((($not)=(f3))|((X2)=(esk4_0))|~((f3 @ ((X7))))|~((epred2_0 @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_30])])). 0.19/0.52 thf(c_0_41, plain, ((f3 @ (($true)))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.19/0.52 thf(c_0_42, plain, ![X2:$i]:(((epred2_0 @ X2)|~((f3 @ (~($true))))|~((f3 @ (($true))))|~(($true))|((X2)!=(esk4_0)))), inference(split_conjunct,[status(thm)],[c_0_20])). 0.19/0.52 thf(c_0_43, plain, ((((($true)|~($true)|($true))&(~(f1 @ $false)|~($true)|($true)))&((($true)|~(f1 @ $true)|($true))&(~(f1 @ $false)|~(f1 @ $true)|($true))))&((($true)|(f1 @ $true)|~($true))&(~($true)|(f1 @ $false)|~($true)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])). 0.19/0.52 thf(c_0_44, plain, ((epred1_0 @ esk2_0)|(($not)!=(f1))), inference(er,[status(thm)],[c_0_33])). 0.19/0.52 thf(c_0_45, plain, (~((f1 @ (($true))))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_34])). 0.19/0.52 thf(c_0_46, plain, ![X63:$i, X64:$o, X65:$o, X66:$o]:((((((((((~(f2 @ ((X66)))|($true)|(~(f2 @ ((X65)))|(X65)|(((f2)=($not))|(~(f2 @ ((X64)))|~($true))))|~(epred3_0 @ X63))&(~($true)|(f2 @ ((X66)))|(~(f2 @ ((X65)))|(X65)|(((f2)=($not))|(~(f2 @ ((X64)))|~($true))))|~(epred3_0 @ X63)))&(((X63)=(esk4_0))|(~(f2 @ ((X65)))|(X65)|(((f2)=($not))|(~(f2 @ ((X64)))|~($true))))|~(epred3_0 @ X63)))&(((~(f2 @ ((X66)))|($true)|(~(X65)|(f2 @ ((X65)))|(((f2)=($not))|(~(f2 @ ((X64)))|~($true))))|~(epred3_0 @ X63))&(~($true)|(f2 @ ((X66)))|(~(X65)|(f2 @ ((X65)))|(((f2)=($not))|(~(f2 @ ((X64)))|~($true))))|~(epred3_0 @ X63)))&(((X63)=(esk4_0))|(~(X65)|(f2 @ ((X65)))|(((f2)=($not))|(~(f2 @ ((X64)))|~($true))))|~(epred3_0 @ X63))))&(((~(f2 @ ((X66)))|($true)|(((X63)=(esk3_0))|(((f2)=($not))|(~(f2 @ ((X64)))|~($true))))|~(epred3_0 @ X63))&(~($true)|(f2 @ ((X66)))|(((X63)=(esk3_0))|(((f2)=($not))|(~(f2 @ ((X64)))|~($true))))|~(epred3_0 @ X63)))&(((X63)=(esk4_0))|(((X63)=(esk3_0))|(((f2)=($not))|(~(f2 @ ((X64)))|~($true))))|~(epred3_0 @ X63))))&(((((~(f2 @ ((X66)))|($true)|(~(f2 @ ((X65)))|(X65)|(((X63)=(esk2_0))|(~(f2 @ ((X64)))|~($true))))|~(epred3_0 @ X63))&(~($true)|(f2 @ ((X66)))|(~(f2 @ ((X65)))|(X65)|(((X63)=(esk2_0))|(~(f2 @ ((X64)))|~($true))))|~(epred3_0 @ X63)))&(((X63)=(esk4_0))|(~(f2 @ ((X65)))|(X65)|(((X63)=(esk2_0))|(~(f2 @ ((X64)))|~($true))))|~(epred3_0 @ X63)))&(((~(f2 @ ((X66)))|($true)|(~(X65)|(f2 @ ((X65)))|(((X63)=(esk2_0))|(~(f2 @ ((X64)))|~($true))))|~(epred3_0 @ X63))&(~($true)|(f2 @ ((X66)))|(~(X65)|(f2 @ ((X65)))|(((X63)=(esk2_0))|(~(f2 @ ((X64)))|~($true))))|~(epred3_0 @ X63)))&(((X63)=(esk4_0))|(~(X65)|(f2 @ ((X65)))|(((X63)=(esk2_0))|(~(f2 @ ((X64)))|~($true))))|~(epred3_0 @ X63))))&(((~(f2 @ ((X66)))|($true)|(((X63)=(esk3_0))|(((X63)=(esk2_0))|(~(f2 @ ((X64)))|~($true))))|~(epred3_0 @ X63))&(~($true)|(f2 @ ((X66)))|(((X63)=(esk3_0))|(((X63)=(esk2_0))|(~(f2 @ ((X64)))|~($true))))|~(epred3_0 @ X63)))&(((X63)=(esk4_0))|(((X63)=(esk3_0))|(((X63)=(esk2_0))|(~(f2 @ ((X64)))|~($true))))|~(epred3_0 @ X63)))))&((((((~(f2 @ ((X66)))|($true)|(~(f2 @ ((X65)))|(X65)|(((f2)=($not))|(($true)|(f2 @ ((X64))))))|~(epred3_0 @ X63))&(~($true)|(f2 @ ((X66)))|(~(f2 @ ((X65)))|(X65)|(((f2)=($not))|(($true)|(f2 @ ((X64))))))|~(epred3_0 @ X63)))&(((X63)=(esk4_0))|(~(f2 @ ((X65)))|(X65)|(((f2)=($not))|(($true)|(f2 @ ((X64))))))|~(epred3_0 @ X63)))&(((~(f2 @ ((X66)))|($true)|(~(X65)|(f2 @ ((X65)))|(((f2)=($not))|(($true)|(f2 @ ((X64))))))|~(epred3_0 @ X63))&(~($true)|(f2 @ ((X66)))|(~(X65)|(f2 @ ((X65)))|(((f2)=($not))|(($true)|(f2 @ ((X64))))))|~(epred3_0 @ X63)))&(((X63)=(esk4_0))|(~(X65)|(f2 @ ((X65)))|(((f2)=($not))|(($true)|(f2 @ ((X64))))))|~(epred3_0 @ X63))))&(((~(f2 @ ((X66)))|($true)|(((X63)=(esk3_0))|(((f2)=($not))|(($true)|(f2 @ ((X64))))))|~(epred3_0 @ X63))&(~($true)|(f2 @ ((X66)))|(((X63)=(esk3_0))|(((f2)=($not))|(($true)|(f2 @ ((X64))))))|~(epred3_0 @ X63)))&(((X63)=(esk4_0))|(((X63)=(esk3_0))|(((f2)=($not))|(($true)|(f2 @ ((X64))))))|~(epred3_0 @ X63))))&(((((~(f2 @ ((X66)))|($true)|(~(f2 @ ((X65)))|(X65)|(((X63)=(esk2_0))|(($true)|(f2 @ ((X64))))))|~(epred3_0 @ X63))&(~($true)|(f2 @ ((X66)))|(~(f2 @ ((X65)))|(X65)|(((X63)=(esk2_0))|(($true)|(f2 @ ((X64))))))|~(epred3_0 @ X63)))&(((X63)=(esk4_0))|(~(f2 @ ((X65)))|(X65)|(((X63)=(esk2_0))|(($true)|(f2 @ ((X64))))))|~(epred3_0 @ X63)))&(((~(f2 @ ((X66)))|($true)|(~(X65)|(f2 @ ((X65)))|(((X63)=(esk2_0))|(($true)|(f2 @ ((X64))))))|~(epred3_0 @ X63))&(~($true)|(f2 @ ((X66)))|(~(X65)|(f2 @ ((X65)))|(((X63)=(esk2_0))|(($true)|(f2 @ ((X64))))))|~(epred3_0 @ X63)))&(((X63)=(esk4_0))|(~(X65)|(f2 @ ((X65)))|(((X63)=(esk2_0))|(($true)|(f2 @ ((X64))))))|~(epred3_0 @ X63))))&(((~(f2 @ ((X66)))|($true)|(((X63)=(esk3_0))|(((X63)=(esk2_0))|(($true)|(f2 @ ((X64))))))|~(epred3_0 @ X63))&(~($true)|(f2 @ ((X66)))|(((X63)=(esk3_0))|(((X63)=(esk2_0))|(($true)|(f2 @ ((X64))))))|~(epred3_0 @ X63)))&(((X63)=(esk4_0))|(((X63)=(esk3_0))|(((X63)=(esk2_0))|(($true)|(f2 @ ((X64))))))|~(epred3_0 @ X63))))))&((((((~(f2 @ ((X66)))|($true)|(~(f2 @ ((X65)))|(X65)|(((f2)=($not))|((X63)=(esk1_0))))|~(epred3_0 @ X63))&(~($true)|(f2 @ ((X66)))|(~(f2 @ ((X65)))|(X65)|(((f2)=($not))|((X63)=(esk1_0))))|~(epred3_0 @ X63)))&(((X63)=(esk4_0))|(~(f2 @ ((X65)))|(X65)|(((f2)=($not))|((X63)=(esk1_0))))|~(epred3_0 @ X63)))&(((~(f2 @ ((X66)))|($true)|(~(X65)|(f2 @ ((X65)))|(((f2)=($not))|((X63)=(esk1_0))))|~(epred3_0 @ X63))&(~($true)|(f2 @ ((X66)))|(~(X65)|(f2 @ ((X65)))|(((f2)=($not))|((X63)=(esk1_0))))|~(epred3_0 @ X63)))&(((X63)=(esk4_0))|(~(X65)|(f2 @ ((X65)))|(((f2)=($not))|((X63)=(esk1_0))))|~(epred3_0 @ X63))))&(((~(f2 @ ((X66)))|($true)|(((X63)=(esk3_0))|(((f2)=($not))|((X63)=(esk1_0))))|~(epred3_0 @ X63))&(~($true)|(f2 @ ((X66)))|(((X63)=(esk3_0))|(((f2)=($not))|((X63)=(esk1_0))))|~(epred3_0 @ X63)))&(((X63)=(esk4_0))|(((X63)=(esk3_0))|(((f2)=($not))|((X63)=(esk1_0))))|~(epred3_0 @ X63))))&(((((~(f2 @ ((X66)))|($true)|(~(f2 @ ((X65)))|(X65)|(((X63)=(esk2_0))|((X63)=(esk1_0))))|~(epred3_0 @ X63))&(~($true)|(f2 @ ((X66)))|(~(f2 @ ((X65)))|(X65)|(((X63)=(esk2_0))|((X63)=(esk1_0))))|~(epred3_0 @ X63)))&(((X63)=(esk4_0))|(~(f2 @ ((X65)))|(X65)|(((X63)=(esk2_0))|((X63)=(esk1_0))))|~(epred3_0 @ X63)))&(((~(f2 @ ((X66)))|($true)|(~(X65)|(f2 @ ((X65)))|(((X63)=(esk2_0))|((X63)=(esk1_0))))|~(epred3_0 @ X63))&(~($true)|(f2 @ ((X66)))|(~(X65)|(f2 @ ((X65)))|(((X63)=(esk2_0))|((X63)=(esk1_0))))|~(epred3_0 @ X63)))&(((X63)=(esk4_0))|(~(X65)|(f2 @ ((X65)))|(((X63)=(esk2_0))|((X63)=(esk1_0))))|~(epred3_0 @ X63))))&(((~(f2 @ ((X66)))|($true)|(((X63)=(esk3_0))|(((X63)=(esk2_0))|((X63)=(esk1_0))))|~(epred3_0 @ X63))&(~($true)|(f2 @ ((X66)))|(((X63)=(esk3_0))|(((X63)=(esk2_0))|((X63)=(esk1_0))))|~(epred3_0 @ X63)))&(((X63)=(esk4_0))|(((X63)=(esk3_0))|(((X63)=(esk2_0))|((X63)=(esk1_0))))|~(epred3_0 @ X63))))))&(((((((~(epred11_1 @ X63)|(epred11_1 @ X63)|($true)|((X63)!=(esk1_0))|(epred3_0 @ X63))&(~(f2 @ $false)|(epred11_1 @ X63)|($true)|((X63)!=(esk1_0))|(epred3_0 @ X63)))&((~(epred11_1 @ X63)|~(f2 @ $true)|($true)|((X63)!=(esk1_0))|(epred3_0 @ X63))&(~(f2 @ $false)|~(f2 @ $true)|($true)|((X63)!=(esk1_0))|(epred3_0 @ X63))))&((~(epred11_1 @ X63)|(f2 @ $true)|~($true)|((X63)!=(esk1_0))|(epred3_0 @ X63))&((epred11_1 @ X63)|(f2 @ $false)|~($true)|((X63)!=(esk1_0))|(epred3_0 @ X63))))&(((f2)!=($not))|((X63)!=(esk2_0))|(epred3_0 @ X63)))&((((~(epred12_1 @ X63)|(epred12_1 @ X63)|~(epred12_1 @ X63)|((X63)!=(esk3_0))|(epred3_0 @ X63))&(~(f2 @ $false)|(epred12_1 @ X63)|~(epred12_1 @ X63)|((X63)!=(esk3_0))|(epred3_0 @ X63)))&((~(epred12_1 @ X63)|~(f2 @ $true)|~(epred12_1 @ X63)|((X63)!=(esk3_0))|(epred3_0 @ X63))&(~(f2 @ $false)|~(f2 @ $true)|~(epred12_1 @ X63)|((X63)!=(esk3_0))|(epred3_0 @ X63))))&((~(epred12_1 @ X63)|(f2 @ $true)|(epred12_1 @ X63)|((X63)!=(esk3_0))|(epred3_0 @ X63))&((epred12_1 @ X63)|(f2 @ $false)|(epred12_1 @ X63)|((X63)!=(esk3_0))|(epred3_0 @ X63)))))&((((~(epred13_1 @ X63)|(epred13_1 @ X63)|~($true)|((X63)!=(esk4_0))|(epred3_0 @ X63))&(~(f2 @ $false)|(epred13_1 @ X63)|~($true)|((X63)!=(esk4_0))|(epred3_0 @ X63)))&((~(epred13_1 @ X63)|~(f2 @ $true)|~($true)|((X63)!=(esk4_0))|(epred3_0 @ X63))&(~(f2 @ $false)|~(f2 @ $true)|~($true)|((X63)!=(esk4_0))|(epred3_0 @ X63))))&((~(epred13_1 @ X63)|(f2 @ $true)|($true)|((X63)!=(esk4_0))|(epred3_0 @ X63))&((epred13_1 @ X63)|(f2 @ $false)|($true)|((X63)!=(esk4_0))|(epred3_0 @ X63))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])])])])])])). 0.19/0.52 thf(c_0_47, axiom, (((~(~($true))|(f2 @ $true))&(~($true)|(f2 @ $false)))<=>~($true)), inference(fool_unroll,[status(thm)],[f2f])). 0.19/0.52 thf(c_0_48, plain, ((~(f2 @ $true)|($true))&(~($true)|(f2 @ $true))), inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[f2t])])). 0.19/0.52 thf(c_0_49, negated_conjecture, ~(![X2:$i, X3:$i, X4:$i, X5:$i]:((((((eps @ (^[Z0/* 9 */:$i]:(((((![X15:$o]:(((f1 @ ((X15)))<=>~($true)))&((Z0)=(X2)))|(((f1)=($not))&((Z0)=(X3))))|(![X16:$o]:(((f1 @ ((X16)))<=>(X16)))&((Z0)=(X4))))|(![X17:$o]:(((f1 @ ((X17)))<=>$true))&((Z0)=(X5)))))))=(X3))&((eps @ (^[Z0/* 9 */:$i]:(((((![X18:$o]:(((f3 @ ((X18)))<=>~($true)))&((Z0)=(X2)))|(((f3)=($not))&((Z0)=(X3))))|(![X19:$o]:(((f3 @ ((X19)))<=>(X19)))&((Z0)=(X4))))|(![X20:$o]:(((f3 @ ((X20)))<=>$true))&((Z0)=(X5)))))))=(X5)))&((eps @ (^[Z0/* 9 */:$i]:(((((![X21:$o]:(((f2 @ ((X21)))<=>~($true)))&((Z0)=(X2)))|(((f2)=($not))&((Z0)=(X3))))|(![X22:$o]:(((f2 @ ((X22)))<=>(X22)))&((Z0)=(X4))))|(![X23:$o]:(((f2 @ ((X23)))<=>$true))&((Z0)=(X5)))))))=(X4)))&((eps @ (^[Z0/* 9 */:$i]:(((((![X24:$o]:(((f0 @ ((X24)))<=>~($true)))&((Z0)=(X2)))|(((f0)=($not))&((Z0)=(X3))))|(![X25:$o]:(((f0 @ ((X25)))<=>(X25)))&((Z0)=(X4))))|(![X26:$o]:(((f0 @ ((X26)))<=>$true))&((Z0)=(X5)))))))=(X2))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[conj]), c_0_35])])). 0.19/0.52 thf(c_0_50, plain, ![X77:$o, X2:$i]:(((~((X77))<=>(f0 @ ((X77))))|((X2)=(esk1_0))|~((epred4_0 @ X2)))), inference(arg_cong,[status(thm)],[c_0_36])). 0.19/0.52 thf(c_0_51, plain, ![X8:$i > $o, X2:$i]:(((X8 @ (eps @ X8))|~((X8 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_37])). 0.19/0.52 thf(c_0_52, plain, (epred4_0 @ esk1_0), inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(sr,[status(thm)],[c_0_38, c_0_24])]), c_0_39])). 0.19/0.52 thf(c_0_53, plain, ![X94:$o, X7:$o, X2:$i]:(((~((X94))<=>(f3 @ ((X94))))|((X2)=(esk4_0))|~((f3 @ ((X7))))|~((epred2_0 @ X2)))), inference(arg_cong,[status(thm)],[c_0_40])). 0.19/0.52 thf(c_0_54, plain, (f3 @ (($true))), inference(cn,[status(thm)],[c_0_41])). 0.19/0.52 thf(c_0_55, plain, ![X2:$i]:(((epred2_0 @ X2)|((X2)!=(esk4_0))|~((f3 @ (($true))))|~((f3 @ (~($true)))))), inference(cn,[status(thm)],[c_0_42])). 0.19/0.52 thf(c_0_56, plain, ((f1 @ (~($true)))|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_43])). 0.19/0.52 thf(c_0_57, plain, ((epred1_0 @ esk2_0)|(~((esk5_0))<~>(f1 @ ((esk5_0))))), inference(neg_ext,[status(thm)],[c_0_44])). 0.19/0.52 thf(c_0_58, plain, ~((f1 @ (($true)))), inference(cn,[status(thm)],[c_0_45])). 0.19/0.52 thf(c_0_59, plain, ![X7:$o, X2:$i]:((((X2)=(esk4_0))|((X2)=(esk3_0))|((f2)=($not))|~((f2 @ ((X7))))|~(($true))|~((epred3_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_46])). 0.19/0.52 thf(c_0_60, plain, ((((($true)|~($true)|~($true))&(~(f2 @ $false)|~($true)|~($true)))&((($true)|~(f2 @ $true)|~($true))&(~(f2 @ $false)|~(f2 @ $true)|~($true))))&((($true)|(f2 @ $true)|($true))&(~($true)|(f2 @ $false)|($true)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])])). 0.19/0.52 thf(c_0_61, plain, ![X2:$i]:(((epred3_0 @ X2)|~((epred12_1 @ X2))|~((f2 @ (($true))))|~((epred12_1 @ X2))|((X2)!=(esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_46])). 0.19/0.52 thf(c_0_62, plain, ((f2 @ (($true)))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_48])). 0.19/0.52 thf(c_0_63, negated_conjecture, (((eps @ (^[Z0/* 9 */:$i]:(((((![X15:$o]:(((f1 @ ((X15)))<=>~($true)))&((Z0)=(esk1_0)))|(((f1)=($not))&((Z0)=(esk2_0))))|(![X16:$o]:(((f1 @ ((X16)))<=>(X16)))&((Z0)=(esk3_0))))|(![X17:$o]:(((f1 @ ((X17)))<=>$true))&((Z0)=(esk4_0)))))))!=(esk2_0))|((eps @ (^[Z0/* 9 */:$i]:(((((![X18:$o]:(((f3 @ ((X18)))<=>~($true)))&((Z0)=(esk1_0)))|(((f3)=($not))&((Z0)=(esk2_0))))|(![X19:$o]:(((f3 @ ((X19)))<=>(X19)))&((Z0)=(esk3_0))))|(![X20:$o]:(((f3 @ ((X20)))<=>$true))&((Z0)=(esk4_0)))))))!=(esk4_0))|((eps @ (^[Z0/* 9 */:$i]:(((((![X21:$o]:(((f2 @ ((X21)))<=>~($true)))&((Z0)=(esk1_0)))|(((f2)=($not))&((Z0)=(esk2_0))))|(![X22:$o]:(((f2 @ ((X22)))<=>(X22)))&((Z0)=(esk3_0))))|(![X23:$o]:(((f2 @ ((X23)))<=>$true))&((Z0)=(esk4_0)))))))!=(esk3_0))|((eps @ (^[Z0/* 9 */:$i]:(((((![X24:$o]:(((f0 @ ((X24)))<=>~($true)))&((Z0)=(esk1_0)))|(((f0)=($not))&((Z0)=(esk2_0))))|(![X25:$o]:(((f0 @ ((X25)))<=>(X25)))&((Z0)=(esk3_0))))|(![X26:$o]:(((f0 @ ((X26)))<=>$true))&((Z0)=(esk4_0)))))))!=(esk1_0))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])])). 0.19/0.52 thf(c_0_64, plain, ![X48:$i]:(((epred4_0 @ X48)<=>((![X45:$o]:(((f0 @ ((X45)))<=>~(($true))))&((X48)=(esk1_0)))|(((f0)=($not))&((X48)=(esk2_0)))|(![X46:$o]:(((f0 @ ((X46)))<=>(X46)))&((X48)=(esk3_0)))|(![X47:$o]:(((f0 @ ((X47)))<=>($true)))&((X48)=(esk4_0)))))), introduced(definition)). 0.19/0.52 thf(c_0_65, plain, ![X44:$i]:(((epred3_0 @ X44)<=>((![X41:$o]:(((f2 @ ((X41)))<=>~(($true))))&((X44)=(esk1_0)))|(((f2)=($not))&((X44)=(esk2_0)))|(![X42:$o]:(((f2 @ ((X42)))<=>(X42)))&((X44)=(esk3_0)))|(![X43:$o]:(((f2 @ ((X43)))<=>($true)))&((X44)=(esk4_0)))))), introduced(definition)). 0.19/0.52 thf(c_0_66, plain, ![X40:$i]:(((epred2_0 @ X40)<=>((![X37:$o]:(((f3 @ ((X37)))<=>~(($true))))&((X40)=(esk1_0)))|(((f3)=($not))&((X40)=(esk2_0)))|(![X38:$o]:(((f3 @ ((X38)))<=>(X38)))&((X40)=(esk3_0)))|(![X39:$o]:(((f3 @ ((X39)))<=>($true)))&((X40)=(esk4_0)))))), introduced(definition)). 0.19/0.52 thf(c_0_67, plain, ![X36:$i]:(((epred1_0 @ X36)<=>((![X33:$o]:(((f1 @ ((X33)))<=>~(($true))))&((X36)=(esk1_0)))|(((f1)=($not))&((X36)=(esk2_0)))|(![X34:$o]:(((f1 @ ((X34)))<=>(X34)))&((X36)=(esk3_0)))|(![X35:$o]:(((f1 @ ((X35)))<=>($true)))&((X36)=(esk4_0)))))), introduced(definition)). 0.19/0.52 thf(c_0_68, plain, ![X2:$i]:((((X2)=(esk1_0))|~((epred4_0 @ X2)))), inference(sr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_50]), c_0_28])). 0.19/0.52 thf(c_0_69, plain, (epred4_0 @ (eps @ epred4_0)), inference(spm,[status(thm)],[c_0_51, c_0_52])). 0.19/0.52 thf(c_0_70, plain, ![X7:$o, X2:$i]:((((X2)=(esk4_0))|~((f3 @ ((X7))))|~((epred2_0 @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_53]), c_0_54])])). 0.19/0.52 thf(c_0_71, plain, (epred2_0 @ esk4_0), inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55, c_0_54]), c_0_30])])])). 0.19/0.52 thf(c_0_72, plain, ![X16:$o, X7:$o, X2:$i]:(((f1 @ ((X7)))|(f1 @ (($true)))|((X2)=(esk2_0))|~((f1 @ ((X16))))|~((epred1_0 @ X2)))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_22])])])). 0.19/0.52 thf(c_0_73, plain, (f1 @ (~($true))), inference(cn,[status(thm)],[c_0_56])). 0.19/0.52 thf(c_0_74, plain, ((epred1_0 @ esk2_0)|~((esk5_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_57])]), c_0_58])). 0.19/0.52 thf(c_0_75, plain, ![X7:$o, X2:$i]:((((X2)=(esk3_0))|((X2)=(esk4_0))|((f2)=($not))|~((f2 @ ((X7))))|~((epred3_0 @ X2)))), inference(cn,[status(thm)],[c_0_59])). 0.19/0.52 thf(c_0_76, plain, ![X2:$i]:(((epred12_1 @ X2)|(f2 @ (~($true)))|(epred12_1 @ X2)|(epred3_0 @ X2)|((X2)!=(esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_46])). 0.19/0.52 thf(c_0_77, plain, (~((f2 @ (~($true))))|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_60])). 0.19/0.52 thf(c_0_78, plain, ![X2:$i]:(((epred3_0 @ X2)|((X2)!=(esk3_0))|~((epred12_1 @ X2))|~((f2 @ (($true)))))), inference(cn,[status(thm)],[c_0_61])). 0.19/0.52 thf(c_0_79, plain, (f2 @ (($true))), inference(cn,[status(thm)],[c_0_62])). 0.19/0.52 thf(c_0_80, negated_conjecture, (((eps @ epred1_0)!=(esk2_0))|((eps @ epred2_0)!=(esk4_0))|((eps @ epred3_0)!=(esk3_0))|((eps @ epred4_0)!=(esk1_0))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67])). 0.19/0.52 thf(c_0_81, plain, ((eps @ epred4_0)=(esk1_0)), inference(spm,[status(thm)],[c_0_68, c_0_69])). 0.19/0.52 thf(c_0_82, plain, ![X2:$i]:((((X2)=(esk4_0))|~((epred2_0 @ X2)))), inference(spm,[status(thm)],[c_0_70, c_0_30])). 0.19/0.52 thf(c_0_83, plain, (epred2_0 @ (eps @ epred2_0)), inference(spm,[status(thm)],[c_0_51, c_0_71])). 0.19/0.52 thf(c_0_84, plain, ![X7:$o, X2:$i]:((((X2)=(esk2_0))|~((f1 @ ((X7))))|~((epred1_0 @ X2)))), inference(sr,[status(thm)],[inference(condense,[status(thm)],[c_0_72]), c_0_58])). 0.19/0.52 thf(c_0_85, plain, (epred1_0 @ esk2_0), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_57]), c_0_73])]), c_0_74])). 0.19/0.52 thf(c_0_86, plain, ![X100:$o, X7:$o, X2:$i]:(((~((X100))<=>(f2 @ ((X100))))|((X2)=(esk4_0))|((X2)=(esk3_0))|~((f2 @ ((X7))))|~((epred3_0 @ X2)))), inference(arg_cong,[status(thm)],[c_0_75])). 0.19/0.52 thf(c_0_87, plain, ![X2:$i]:(((epred3_0 @ X2)|(epred12_1 @ X2)|(f2 @ (~($true)))|((X2)!=(esk3_0)))), inference(cn,[status(thm)],[c_0_76])). 0.19/0.52 thf(c_0_88, plain, ~((f2 @ (~($true)))), inference(cn,[status(thm)],[c_0_77])). 0.19/0.52 thf(c_0_89, plain, ((epred3_0 @ esk3_0)|~((epred12_1 @ esk3_0))), inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78, c_0_79])])])). 0.19/0.52 thf(c_0_90, negated_conjecture, (((eps @ epred1_0)!=(esk2_0))|((eps @ epred2_0)!=(esk4_0))|((eps @ epred3_0)!=(esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80, c_0_81])])). 0.19/0.52 thf(c_0_91, plain, ((eps @ epred2_0)=(esk4_0)), inference(spm,[status(thm)],[c_0_82, c_0_83])). 0.19/0.52 thf(c_0_92, plain, ![X2:$i]:((((X2)=(esk2_0))|~((epred1_0 @ X2)))), inference(spm,[status(thm)],[c_0_84, c_0_73])). 0.19/0.52 thf(c_0_93, plain, (epred1_0 @ (eps @ epred1_0)), inference(spm,[status(thm)],[c_0_51, c_0_85])). 0.19/0.52 thf(c_0_94, plain, ![X15:$o, X7:$o, X2:$i]:(((f2 @ ((X7)))|((X2)=(esk3_0))|((f2)=($not))|~(($true))|~((f2 @ ((X15))))|~(($true))|~((epred3_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_46])). 0.19/0.52 thf(c_0_95, plain, ![X7:$o, X2:$i]:((((X2)=(esk3_0))|((X2)=(esk4_0))|~((f2 @ ((X7))))|~((epred3_0 @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_86]), c_0_79])])). 0.19/0.52 thf(c_0_96, plain, (epred3_0 @ esk3_0), inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(sr,[status(thm)],[c_0_87, c_0_88])]), c_0_89])). 0.19/0.52 thf(c_0_97, negated_conjecture, (((eps @ epred1_0)!=(esk2_0))|((eps @ epred3_0)!=(esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90, c_0_91])])). 0.19/0.52 thf(c_0_98, plain, ((eps @ epred1_0)=(esk2_0)), inference(spm,[status(thm)],[c_0_92, c_0_93])). 0.19/0.52 thf(c_0_99, plain, ![X15:$o, X7:$o, X2:$i]:((((X2)=(esk3_0))|((f2)=($not))|(f2 @ ((X7)))|~((f2 @ ((X15))))|~((epred3_0 @ X2)))), inference(cn,[status(thm)],[c_0_94])). 0.19/0.52 thf(c_0_100, plain, ![X2:$i]:((((X2)=(esk4_0))|((X2)=(esk3_0))|~((epred3_0 @ X2)))), inference(spm,[status(thm)],[c_0_95, c_0_79])). 0.19/0.52 thf(c_0_101, plain, (epred3_0 @ (eps @ epred3_0)), inference(spm,[status(thm)],[c_0_51, c_0_96])). 0.19/0.52 thf(c_0_102, negated_conjecture, ((eps @ epred3_0)!=(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97, c_0_98])])). 0.19/0.52 thf(c_0_103, plain, ![X121:$o, X15:$o, X7:$o, X2:$i]:(((~((X121))<=>(f2 @ ((X121))))|((X2)=(esk3_0))|(f2 @ ((X7)))|~((f2 @ ((X15))))|~((epred3_0 @ X2)))), inference(arg_cong,[status(thm)],[c_0_99])). 0.19/0.52 thf(c_0_104, plain, ((eps @ epred3_0)=(esk4_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_101]), c_0_102])). 0.19/0.52 thf(c_0_105, plain, ![X15:$o, X7:$o, X2:$i]:((((X2)=(esk3_0))|(f2 @ ((X7)))|~((f2 @ ((X15))))|~((epred3_0 @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_103]), c_0_79])])). 0.19/0.52 thf(c_0_106, plain, (epred3_0 @ esk4_0), inference(rw,[status(thm)],[c_0_101, c_0_104])). 0.19/0.52 thf(c_0_107, negated_conjecture, ((esk3_0)!=(esk4_0)), inference(rw,[status(thm)],[c_0_102, c_0_104])). 0.19/0.52 thf(c_0_108, plain, ![X7:$o, X15:$o]:(((f2 @ ((X7)))|~((f2 @ ((X15)))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_106]), c_0_107])). 0.19/0.52 thf(c_0_109, plain, ![X7:$o]:((f2 @ ((X7)))), inference(spm,[status(thm)],[c_0_108, c_0_79])). 0.19/0.52 thf(c_0_110, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88, c_0_109])]), ['proof']). 0.19/0.52 # SZS output end CNFRefutation 0.19/0.52 # Parsed axioms : 17 0.19/0.52 # Removed by relevancy pruning/SinE : 6 0.19/0.52 # Initial clauses : 326 0.19/0.52 # Removed in clause preprocessing : 182 0.19/0.52 # Initial clauses in saturation : 144 0.19/0.52 # Processed clauses : 336 0.19/0.52 # ...of these trivial : 27 0.19/0.52 # ...subsumed : 71 0.19/0.52 # ...remaining for further processing : 238 0.19/0.52 # Other redundant clauses eliminated : 18 0.19/0.52 # Clauses deleted for lack of memory : 0 0.19/0.52 # Backward-subsumed : 76 0.19/0.52 # Backward-rewritten : 32 0.19/0.52 # Generated clauses : 344 0.19/0.52 # ...of the previous two non-redundant : 257 0.19/0.52 # ...aggressively subsumed : 0 0.19/0.52 # Contextual simplify-reflections : 3 0.19/0.52 # Paramodulations : 182 0.19/0.52 # Factorizations : 8 0.19/0.52 # NegExts : 11 0.19/0.52 # Equation resolutions : 18 0.19/0.52 # Disequality decompositions : 0 0.19/0.52 # Total rewrite steps : 199 0.19/0.52 # ...of those cached : 171 0.19/0.52 # Propositional unsat checks : 0 0.19/0.52 # Propositional check models : 0 0.19/0.52 # Propositional check unsatisfiable : 0 0.19/0.52 # Propositional clauses : 0 0.19/0.52 # Propositional clauses after purity: 0 0.19/0.52 # Propositional unsat core size : 0 0.19/0.52 # Propositional preprocessing time : 0.000 0.19/0.52 # Propositional encoding time : 0.000 0.19/0.52 # Propositional solver time : 0.000 0.19/0.52 # Success case prop preproc time : 0.000 0.19/0.52 # Success case prop encoding time : 0.000 0.19/0.52 # Success case prop solver time : 0.000 0.19/0.52 # Current number of processed clauses : 45 0.19/0.52 # Positive orientable unit clauses : 13 0.19/0.52 # Positive unorientable unit clauses: 0 0.19/0.52 # Negative unit clauses : 4 0.19/0.52 # Non-unit-clauses : 28 0.19/0.52 # Current number of unprocessed clauses: 93 0.19/0.52 # ...number of literals in the above : 269 0.19/0.52 # Current number of archived formulas : 0 0.19/0.52 # Current number of archived clauses : 175 0.19/0.52 # Clause-clause subsumption calls (NU) : 1310 0.19/0.52 # Rec. Clause-clause subsumption calls : 556 0.19/0.52 # Non-unit clause-clause subsumptions : 112 0.19/0.52 # Unit Clause-clause subsumption calls : 194 0.19/0.52 # Rewrite failures with RHS unbound : 0 0.19/0.52 # BW rewrite match attempts : 18 0.19/0.52 # BW rewrite match successes : 17 0.19/0.52 # Condensation attempts : 336 0.19/0.52 # Condensation successes : 18 0.19/0.52 # Termbank termtop insertions : 23754 0.19/0.52 # Search garbage collected termcells : 3770 0.19/0.52 0.19/0.52 # ------------------------------------------------- 0.19/0.52 # User time : 0.033 s 0.19/0.52 # System time : 0.004 s 0.19/0.52 # Total time : 0.037 s 0.19/0.52 # Maximum resident set size: 3320 pages 0.19/0.52 0.19/0.52 # ------------------------------------------------- 0.19/0.52 # User time : 0.034 s 0.19/0.53 # System time : 0.006 s 0.19/0.53 # Total time : 0.040 s 0.19/0.53 # Maximum resident set size: 1772 pages 0.19/0.53 % E---3.1 exiting 0.19/0.53 % E exiting 0.19/0.53 EOF