TSTP Solution File: SEV293^5 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEV293^5 : TPTP v8.2.0. Bugfixed v6.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 04:08:09 EDT 2024
% Result : Theorem 0.19s 0.54s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEV293^5 : TPTP v8.2.0. Bugfixed v6.2.0.
% 0.04/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 18:37:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.19/0.48 Running higher-order theorem proving
% 0.19/0.48 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.19/0.54 # Version: 3.1.0-ho
% 0.19/0.54 # Preprocessing class: HSSSSMSSSLSNHHN.
% 0.19/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.54 # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.19/0.54 # Starting sh5l with 300s (1) cores
% 0.19/0.54 # Starting full_lambda_10 with 300s (1) cores
% 0.19/0.54 # Starting full_lambda_6 with 300s (1) cores
% 0.19/0.54 # ehoh_best_nonlift_nonlambdatoforall with pid 28047 completed with status 0
% 0.19/0.54 # Result found by ehoh_best_nonlift_nonlambdatoforall
% 0.19/0.54 # Preprocessing class: HSSSSMSSSLSNHHN.
% 0.19/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.54 # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.19/0.54 # No SInE strategy applied
% 0.19/0.54 # Search class: HUUPF-FFSF00-DHHFMFNN
% 0.19/0.54 # partial match(3): HUHPF-FFSF00-SHHFFFNN
% 0.19/0.54 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.54 # Starting new_ho_10 with 811s (1) cores
% 0.19/0.54 # Starting ehoh_best_nonlift_nonlambdatoforall with 151s (1) cores
% 0.19/0.54 # Starting new_bool_1 with 136s (1) cores
% 0.19/0.54 # Starting new_bool_2 with 136s (1) cores
% 0.19/0.54 # Starting new_bool_9 with 136s (1) cores
% 0.19/0.54 # ehoh_best_nonlift_nonlambdatoforall with pid 28054 completed with status 0
% 0.19/0.54 # Result found by ehoh_best_nonlift_nonlambdatoforall
% 0.19/0.54 # Preprocessing class: HSSSSMSSSLSNHHN.
% 0.19/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.54 # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.19/0.54 # No SInE strategy applied
% 0.19/0.54 # Search class: HUUPF-FFSF00-DHHFMFNN
% 0.19/0.54 # partial match(3): HUHPF-FFSF00-SHHFFFNN
% 0.19/0.54 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.54 # Starting new_ho_10 with 811s (1) cores
% 0.19/0.54 # Starting ehoh_best_nonlift_nonlambdatoforall with 151s (1) cores
% 0.19/0.54 # Preprocessing time : 0.001 s
% 0.19/0.54 # Presaturation interreduction done
% 0.19/0.54
% 0.19/0.54 # Proof found!
% 0.19/0.54 # SZS status Theorem
% 0.19/0.54 # SZS output start CNFRefutation
% 0.19/0.54 thf(decl_22, type, cONE: ($i > $o) > $o).
% 0.19/0.54 thf(decl_23, type, cSUCC: (($i > $o) > $o) > ($i > $o) > $o).
% 0.19/0.54 thf(decl_24, type, cZERO: ($i > $o) > $o).
% 0.19/0.54 thf(decl_25, type, esk1_1: $i > $o).
% 0.19/0.54 thf(decl_26, type, esk2_1: $i > $i).
% 0.19/0.54 thf(decl_27, type, esk3_0: $i).
% 0.19/0.54 thf(decl_28, type, esk4_0: $i).
% 0.19/0.54 thf(decl_29, type, esk5_1: $i > $i).
% 0.19/0.54 thf(decl_30, type, esk6_1: $i > $i).
% 0.19/0.54 thf(decl_37, type, esk13_1: $i > $i).
% 0.19/0.54 thf(decl_42, type, esk18_1: $i > $i).
% 0.19/0.54 thf(decl_49, type, esk25_1: $i > $i).
% 0.19/0.54 thf(cZERO_def, axiom, ((cZERO)=(^[X1:$i > $o]:(~(?[X2:$i]:((X1 @ X2)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cZERO_def)).
% 0.19/0.54 thf(cSUCC_def, axiom, ((cSUCC)=(^[X3:($i > $o) > $o, X1:$i > $o]:(?[X2:$i]:(((X1 @ X2)&(X3 @ (^[X4:$i]:((((X4)!=(X2))&(X1 @ X4)))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cSUCC_def)).
% 0.19/0.54 thf(cONE_def, axiom, ((cONE)=(^[Z0/* 5 */:$i > $o]:(?[X8:$i]:(((Z0 @ X8)&(~(?[X7:$i]:(((((X7)!=(X8))&(Z0 @ X7))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cONE_def)).
% 0.19/0.54 thf(cX6101_pme, conjecture, ((cONE)=(^[X5:$i > $o]:(?[X6:$i]:(((X5)=(( ^[X2:$i, X6:$i]:(((X2)=(X6))) ) @ X6)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cX6101_pme)).
% 0.19/0.54 thf(c_0_4, plain, ((cZERO)=(^[Z0/* 7 */:$i > $o]:(~(?[X2:$i]:((Z0 @ X2)))))), inference(fof_simplification,[status(thm)],[cZERO_def])).
% 0.19/0.54 thf(c_0_5, plain, ((cSUCC)=(^[Z0/* 19 */:($i > $o) > $o, Z1:$i > $o]:(?[X2:$i]:(((Z1 @ X2)&(Z0 @ (^[Z2/* 8 */:$i]:((((Z2)!=(X2))&(Z1 @ Z2)))))))))), inference(fof_simplification,[status(thm)],[cSUCC_def])).
% 0.19/0.54 thf(c_0_6, axiom, ((cONE)=(^[Z0/* 5 */:$i > $o]:(?[X8:$i]:(((Z0 @ X8)&(~(?[X7:$i]:(((((X7)!=(X8))&(Z0 @ X7))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[cONE_def, c_0_4]), c_0_5])).
% 0.19/0.54 thf(c_0_7, negated_conjecture, ((^[Z0/* 5 */:$i > $o]:(?[X9:$i]:((Z0 @ X9&~(?[X10:$i]:((~(((X10)=(X9)))&Z0 @ X10)))))))!=(^[Z0/* 5 */:$i > $o]:(?[X6:$i]:(((Z0)=($eq @ X6)))))), inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cX6101_pme])]), c_0_6])])])).
% 0.19/0.54 thf(c_0_8, negated_conjecture, ((^[Z0/* 5 */:$i > $o]:(?[X9:$i]:((Z0 @ X9&~(?[X10:$i]:((~(((X10)=(X9)))&Z0 @ X10)))))))!=(^[Z0/* 5 */:$i > $o]:(?[X6:$i]:(((Z0)=($eq @ X6)))))), inference(fof_nnf,[status(thm)],[c_0_7])).
% 0.19/0.54 thf(c_0_9, negated_conjecture, ((^[Z0/* 5 */:$i > $o]:(?[X66:$i]:(((Z0 @ X66)&~(?[X67:$i]:((~(((X67)=(X66)))&(Z0 @ X67))))))))!=(^[Z0/* 5 */:$i > $o]:(?[X68:$i]:(((Z0)=($eq @ X68)))))), inference(split_conjunct,[status(thm)],[c_0_8])).
% 0.19/0.54 thf(c_0_10, negated_conjecture, (?[X69:$i]:(((esk1_1 @ X69)&~(?[X70:$i]:((~(((X70)=(X69)))&(esk1_1 @ X70))))))<~>?[X71:$i]:(((esk1_1)=($eq @ X71)))), inference(neg_ext,[status(thm)],[c_0_9])).
% 0.19/0.54 thf(c_0_11, negated_conjecture, ![X4:$i, X2:$i]:(((esk1_1 @ (esk2_1 @ X2))|(($eq @ X4)!=(esk1_1))|~((esk1_1 @ X2)))), inference(dynamic_cnf,[status(thm)],[c_0_10])).
% 0.19/0.54 thf(c_0_12, negated_conjecture, ((($eq @ esk4_0)=(esk1_1))|(esk1_1 @ esk3_0)), inference(dynamic_cnf,[status(thm)],[c_0_10])).
% 0.19/0.54 thf(c_0_13, negated_conjecture, ![X4:$i, X2:$i]:(((esk1_1 @ (esk2_1 @ X2))|(((X4)=(esk6_1 @ X4))<~>(esk1_1 @ (esk6_1 @ X4)))|~((esk1_1 @ X2)))), inference(neg_ext,[status(thm)],[c_0_11])).
% 0.19/0.54 thf(c_0_14, negated_conjecture, ![X20:$i]:(((((esk4_0)=(X20))<=>(esk1_1 @ X20))|(esk1_1 @ esk3_0))), inference(arg_cong,[status(thm)],[c_0_12])).
% 0.19/0.54 thf(c_0_15, negated_conjecture, ![X2:$i, X4:$i]:((((esk6_1 @ X2)=(X2))|(esk1_1 @ (esk2_1 @ X4))|(esk1_1 @ (esk6_1 @ X2))|~((esk1_1 @ X4)))), inference(dynamic_cnf,[status(thm)],[c_0_13])).
% 0.19/0.54 thf(c_0_16, negated_conjecture, ((esk1_1 @ esk3_0)|(esk1_1 @ esk4_0)), inference(er,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_14])])).
% 0.19/0.54 thf(c_0_17, negated_conjecture, ![X2:$i]:(((($eq @ esk4_0)=(esk1_1))|((X2)=(esk3_0))|~((esk1_1 @ X2)))), inference(dynamic_cnf,[status(thm)],[c_0_10])).
% 0.19/0.54 thf(c_0_18, negated_conjecture, ![X2:$i]:((((esk6_1 @ X2)=(X2))|(esk1_1 @ (esk2_1 @ esk3_0))|(esk1_1 @ (esk6_1 @ X2))|(esk1_1 @ esk4_0))), inference(spm,[status(thm)],[c_0_15, c_0_16])).
% 0.19/0.54 thf(c_0_19, negated_conjecture, ![X21:$i, X2:$i]:(((((esk4_0)=(X21))<=>(esk1_1 @ X21))|((X2)=(esk3_0))|~((esk1_1 @ X2)))), inference(arg_cong,[status(thm)],[c_0_17])).
% 0.19/0.54 thf(c_0_20, negated_conjecture, ![X2:$i, X4:$i]:((((esk6_1 @ X2)=(X2))|((esk6_1 @ X4)=(X4))|(esk1_1 @ (esk2_1 @ (esk2_1 @ esk3_0)))|(esk1_1 @ (esk6_1 @ X2))|(esk1_1 @ (esk6_1 @ X4))|(esk1_1 @ esk4_0))), inference(spm,[status(thm)],[c_0_15, c_0_18])).
% 0.19/0.54 thf(c_0_21, negated_conjecture, ![X2:$i]:((((X2)=(esk3_0))|(esk1_1 @ esk4_0)|~((esk1_1 @ X2)))), inference(er,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_19])])).
% 0.19/0.54 thf(c_0_22, negated_conjecture, ![X2:$i]:((((esk6_1 @ X2)=(X2))|(esk1_1 @ (esk2_1 @ (esk2_1 @ esk3_0)))|(esk1_1 @ (esk6_1 @ X2))|(esk1_1 @ esk4_0))), inference(ef,[status(thm)],[c_0_20])).
% 0.19/0.54 thf(c_0_23, negated_conjecture, ![X2:$i]:(((($eq @ esk4_0)=(esk1_1))|((esk6_1 @ X2)=(esk3_0))|((esk6_1 @ X2)=(X2))|(esk1_1 @ (esk2_1 @ esk3_0))|(esk1_1 @ esk4_0))), inference(spm,[status(thm)],[c_0_17, c_0_18])).
% 0.19/0.54 thf(c_0_24, negated_conjecture, ![X2:$i]:((((esk2_1 @ (esk2_1 @ esk3_0))=(esk3_0))|((esk6_1 @ X2)=(X2))|(esk1_1 @ (esk6_1 @ X2))|(esk1_1 @ esk4_0))), inference(spm,[status(thm)],[c_0_21, c_0_22])).
% 0.19/0.54 thf(c_0_25, negated_conjecture, (((esk6_1 @ esk3_0)=(esk3_0))|(($eq @ esk4_0)=(esk1_1))|(esk1_1 @ (esk2_1 @ esk3_0))|(esk1_1 @ esk4_0)), inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_23])])).
% 0.19/0.54 thf(c_0_26, negated_conjecture, ![X2:$i]:((((esk2_1 @ esk3_0)=(esk3_0))|((esk6_1 @ X2)=(X2))|(esk1_1 @ (esk6_1 @ X2))|(esk1_1 @ esk4_0))), inference(spm,[status(thm)],[c_0_21, c_0_18])).
% 0.19/0.54 thf(c_0_27, negated_conjecture, ![X2:$i]:((((esk2_1 @ (esk2_1 @ esk3_0))=(esk3_0))|((esk6_1 @ X2)=(esk3_0))|((esk6_1 @ X2)=(X2))|(esk1_1 @ esk4_0))), inference(spm,[status(thm)],[c_0_21, c_0_24])).
% 0.19/0.54 thf(c_0_28, negated_conjecture, ![X2:$i]:((((esk6_1 @ esk3_0)=(esk3_0))|(esk1_1 @ (esk2_1 @ esk3_0))|(esk1_1 @ (esk2_1 @ X2))|(esk1_1 @ esk4_0)|~((esk1_1 @ X2)))), inference(spm,[status(thm)],[c_0_11, c_0_25])).
% 0.19/0.54 thf(c_0_29, negated_conjecture, ![X2:$i]:((((esk2_1 @ esk3_0)=(esk3_0))|((esk6_1 @ X2)=(esk3_0))|((esk6_1 @ X2)=(X2))|(esk1_1 @ esk4_0))), inference(spm,[status(thm)],[c_0_21, c_0_26])).
% 0.19/0.54 thf(c_0_30, negated_conjecture, ![X2:$i, X4:$i]:(((($eq @ X2)!=(esk1_1))|((esk2_1 @ X4)!=(X4))|~((esk1_1 @ X4)))), inference(dynamic_cnf,[status(thm)],[c_0_10])).
% 0.19/0.54 thf(c_0_31, negated_conjecture, (((esk2_1 @ (esk2_1 @ esk3_0))=(esk3_0))|((esk6_1 @ esk3_0)=(esk3_0))|(esk1_1 @ esk4_0)), inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_27])])).
% 0.19/0.54 thf(c_0_32, negated_conjecture, (((esk6_1 @ esk3_0)=(esk3_0))|(esk1_1 @ (esk2_1 @ esk3_0))|(esk1_1 @ esk4_0)), inference(spm,[status(thm)],[c_0_28, c_0_16])).
% 0.19/0.54 thf(c_0_33, negated_conjecture, (((esk6_1 @ esk3_0)=(esk3_0))|((esk2_1 @ esk3_0)=(esk3_0))|(esk1_1 @ esk4_0)), inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_29])])).
% 0.19/0.54 thf(c_0_34, negated_conjecture, ![X2:$i]:((((esk6_1 @ esk3_0)=(esk3_0))|(esk1_1 @ esk4_0)|(($eq @ X2)!=(esk1_1)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_32]), c_0_33])).
% 0.19/0.54 thf(c_0_35, negated_conjecture, ![X2:$i]:((((esk6_1 @ esk3_0)=(esk3_0))|(esk1_1 @ esk4_0)|(((X2)=(esk13_1 @ X2))<~>(esk1_1 @ (esk13_1 @ X2))))), inference(neg_ext,[status(thm)],[c_0_34])).
% 0.19/0.54 thf(c_0_36, negated_conjecture, ![X2:$i]:((((esk6_1 @ esk3_0)=(esk3_0))|((esk13_1 @ X2)=(X2))|(esk1_1 @ (esk13_1 @ X2))|(esk1_1 @ esk4_0))), inference(dynamic_cnf,[status(thm)],[c_0_35])).
% 0.19/0.54 thf(c_0_37, negated_conjecture, ![X2:$i]:((((esk6_1 @ esk3_0)=(esk3_0))|(esk1_1 @ esk4_0)|((esk13_1 @ X2)!=(X2))|~((esk1_1 @ (esk13_1 @ X2))))), inference(dynamic_cnf,[status(thm)],[c_0_35])).
% 0.19/0.54 thf(c_0_38, negated_conjecture, ![X2:$i]:((((esk6_1 @ esk3_0)=(esk3_0))|((esk13_1 @ X2)=(esk3_0))|((esk13_1 @ X2)=(X2))|(esk1_1 @ esk4_0))), inference(spm,[status(thm)],[c_0_21, c_0_36])).
% 0.19/0.54 thf(c_0_39, negated_conjecture, ![X2:$i]:((((esk6_1 @ esk3_0)=(esk3_0))|((esk13_1 @ X2)=(esk3_0))|(esk1_1 @ esk4_0)|~((esk1_1 @ X2)))), inference(spm,[status(thm)],[c_0_37, c_0_38])).
% 0.19/0.54 thf(c_0_40, negated_conjecture, (((esk13_1 @ (esk2_1 @ esk3_0))=(esk3_0))|((esk6_1 @ esk3_0)=(esk3_0))|(esk1_1 @ esk4_0)), inference(spm,[status(thm)],[c_0_39, c_0_32])).
% 0.19/0.54 thf(c_0_41, negated_conjecture, (((esk6_1 @ esk3_0)=(esk3_0))|(esk1_1 @ esk4_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_40]), c_0_16]), c_0_33])).
% 0.19/0.54 thf(c_0_42, negated_conjecture, (((esk6_1 @ esk3_0)=(esk3_0))|(($eq @ esk4_0)=(esk1_1))|((esk3_0)=(esk4_0))), inference(spm,[status(thm)],[c_0_17, c_0_41])).
% 0.19/0.54 thf(c_0_43, negated_conjecture, ![X2:$i]:(((esk1_1 @ (esk2_1 @ X2))|(esk1_1 @ esk3_0)|~((esk1_1 @ X2)))), inference(spm,[status(thm)],[c_0_11, c_0_12])).
% 0.19/0.54 thf(c_0_44, negated_conjecture, ![X40:$i]:(((((esk4_0)=(X40))<=>(esk1_1 @ X40))|((esk6_1 @ esk3_0)=(esk3_0))|((esk3_0)=(esk4_0)))), inference(arg_cong,[status(thm)],[c_0_42])).
% 0.19/0.54 thf(c_0_45, negated_conjecture, ![X2:$i]:((((esk4_0)=(X2))|(esk1_1 @ esk3_0)|~((esk1_1 @ X2)))), inference(dynamic_cnf,[status(thm)],[c_0_14])).
% 0.19/0.54 thf(c_0_46, negated_conjecture, (((esk6_1 @ esk3_0)=(esk3_0))|(esk1_1 @ (esk2_1 @ esk4_0))|(esk1_1 @ esk3_0)), inference(spm,[status(thm)],[c_0_43, c_0_41])).
% 0.19/0.54 thf(c_0_47, negated_conjecture, ![X2:$i]:((((esk6_1 @ esk3_0)=(esk3_0))|((esk3_0)=(esk4_0))|((esk4_0)=(X2))|~((esk1_1 @ X2)))), inference(dynamic_cnf,[status(thm)],[c_0_44])).
% 0.19/0.54 thf(c_0_48, negated_conjecture, (((esk6_1 @ esk3_0)=(esk3_0))|((esk2_1 @ esk4_0)=(esk4_0))|(esk1_1 @ esk3_0)), inference(spm,[status(thm)],[c_0_45, c_0_46])).
% 0.19/0.54 thf(c_0_49, negated_conjecture, (((esk2_1 @ esk4_0)=(esk4_0))|((esk6_1 @ esk3_0)=(esk3_0))|((esk3_0)=(esk4_0))), inference(spm,[status(thm)],[c_0_47, c_0_48])).
% 0.19/0.54 thf(c_0_50, negated_conjecture, ![X2:$i]:((((esk6_1 @ esk3_0)=(esk3_0))|((esk3_0)=(esk4_0))|(($eq @ X2)!=(esk1_1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_49]), c_0_41])).
% 0.19/0.54 thf(c_0_51, negated_conjecture, ![X4:$i, X2:$i]:(((esk1_1 @ (esk2_1 @ X2))|((esk6_1 @ X4)!=(X4))|~((esk1_1 @ (esk6_1 @ X4)))|~((esk1_1 @ X2)))), inference(dynamic_cnf,[status(thm)],[c_0_13])).
% 0.19/0.54 thf(c_0_52, negated_conjecture, (((esk6_1 @ esk3_0)=(esk3_0))|((esk3_0)=(esk4_0))), inference(spm,[status(thm)],[c_0_50, c_0_42])).
% 0.19/0.54 thf(c_0_53, negated_conjecture, ![X2:$i]:((((esk3_0)=(esk4_0))|(esk1_1 @ (esk2_1 @ X2))|~((esk1_1 @ X2)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_43])).
% 0.19/0.54 thf(c_0_54, negated_conjecture, (((esk3_0)=(esk4_0))|(esk1_1 @ (esk2_1 @ esk3_0))|(esk1_1 @ esk4_0)), inference(spm,[status(thm)],[c_0_53, c_0_16])).
% 0.19/0.54 thf(c_0_55, negated_conjecture, (((esk3_0)=(esk4_0))|(esk1_1 @ (esk2_1 @ (esk2_1 @ esk3_0)))|(esk1_1 @ esk4_0)), inference(spm,[status(thm)],[c_0_53, c_0_54])).
% 0.19/0.54 thf(c_0_56, negated_conjecture, (((esk2_1 @ (esk2_1 @ esk3_0))=(esk3_0))|((esk3_0)=(esk4_0))|(esk1_1 @ esk4_0)), inference(spm,[status(thm)],[c_0_21, c_0_55])).
% 0.19/0.54 thf(c_0_57, negated_conjecture, (((esk2_1 @ esk3_0)=(esk3_0))|((esk3_0)=(esk4_0))|(esk1_1 @ esk4_0)), inference(spm,[status(thm)],[c_0_21, c_0_54])).
% 0.19/0.54 thf(c_0_58, negated_conjecture, ![X2:$i]:((((esk3_0)=(esk4_0))|(esk1_1 @ esk4_0)|(($eq @ X2)!=(esk1_1)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_56]), c_0_54]), c_0_57])).
% 0.19/0.54 thf(c_0_59, negated_conjecture, ![X2:$i]:((((esk3_0)=(esk4_0))|(esk1_1 @ esk4_0)|(((X2)=(esk18_1 @ X2))<~>(esk1_1 @ (esk18_1 @ X2))))), inference(neg_ext,[status(thm)],[c_0_58])).
% 0.19/0.54 thf(c_0_60, negated_conjecture, ![X2:$i]:((((esk3_0)=(esk4_0))|((esk18_1 @ X2)=(X2))|(esk1_1 @ (esk18_1 @ X2))|(esk1_1 @ esk4_0))), inference(dynamic_cnf,[status(thm)],[c_0_59])).
% 0.19/0.54 thf(c_0_61, negated_conjecture, ![X2:$i]:((((esk18_1 @ X2)=(esk3_0))|((esk18_1 @ X2)=(X2))|((esk3_0)=(esk4_0))|(esk1_1 @ esk4_0))), inference(spm,[status(thm)],[c_0_21, c_0_60])).
% 0.19/0.54 thf(c_0_62, negated_conjecture, (((esk18_1 @ esk3_0)=(esk3_0))|((esk3_0)=(esk4_0))|(esk1_1 @ esk4_0)), inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_61])])).
% 0.19/0.54 thf(c_0_63, negated_conjecture, (((esk18_1 @ esk3_0)=(esk3_0))|(($eq @ esk4_0)=(esk1_1))|((esk3_0)=(esk4_0))), inference(spm,[status(thm)],[c_0_17, c_0_62])).
% 0.19/0.54 thf(c_0_64, negated_conjecture, ![X50:$i]:(((((esk4_0)=(X50))<=>(esk1_1 @ X50))|((esk18_1 @ esk3_0)=(esk3_0))|((esk3_0)=(esk4_0)))), inference(arg_cong,[status(thm)],[c_0_63])).
% 0.19/0.54 thf(c_0_65, negated_conjecture, ![X2:$i]:((((esk18_1 @ esk3_0)=(esk3_0))|((esk3_0)=(esk4_0))|((esk4_0)=(X2))|~((esk1_1 @ X2)))), inference(dynamic_cnf,[status(thm)],[c_0_64])).
% 0.19/0.54 thf(c_0_66, negated_conjecture, (((esk18_1 @ esk3_0)=(esk3_0))|((esk3_0)=(esk4_0))|(esk1_1 @ (esk2_1 @ esk4_0))), inference(spm,[status(thm)],[c_0_53, c_0_62])).
% 0.19/0.54 thf(c_0_67, negated_conjecture, (((esk2_1 @ esk4_0)=(esk4_0))|((esk18_1 @ esk3_0)=(esk3_0))|((esk3_0)=(esk4_0))), inference(spm,[status(thm)],[c_0_65, c_0_66])).
% 0.19/0.54 thf(c_0_68, negated_conjecture, ![X2:$i]:((((esk18_1 @ esk3_0)=(esk3_0))|((esk3_0)=(esk4_0))|(($eq @ X2)!=(esk1_1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_67]), c_0_58])).
% 0.19/0.54 thf(c_0_69, negated_conjecture, ![X2:$i]:((((esk3_0)=(esk4_0))|(esk1_1 @ esk4_0)|((esk18_1 @ X2)!=(X2))|~((esk1_1 @ (esk18_1 @ X2))))), inference(dynamic_cnf,[status(thm)],[c_0_59])).
% 0.19/0.54 thf(c_0_70, negated_conjecture, (((esk18_1 @ esk3_0)=(esk3_0))|((esk3_0)=(esk4_0))), inference(spm,[status(thm)],[c_0_68, c_0_63])).
% 0.19/0.54 thf(c_0_71, negated_conjecture, (((esk3_0)=(esk4_0))|(esk1_1 @ esk4_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_16])).
% 0.19/0.54 thf(c_0_72, negated_conjecture, ((($eq @ esk4_0)=(esk1_1))|((esk3_0)=(esk4_0))), inference(spm,[status(thm)],[c_0_17, c_0_71])).
% 0.19/0.54 thf(c_0_73, negated_conjecture, ![X52:$i]:(((((esk4_0)=(X52))<=>(esk1_1 @ X52))|((esk3_0)=(esk4_0)))), inference(arg_cong,[status(thm)],[c_0_72])).
% 0.19/0.54 thf(c_0_74, negated_conjecture, ![X2:$i]:((((esk3_0)=(esk4_0))|((esk4_0)=(X2))|~((esk1_1 @ X2)))), inference(dynamic_cnf,[status(thm)],[c_0_73])).
% 0.19/0.54 thf(c_0_75, negated_conjecture, (((esk3_0)=(esk4_0))|(esk1_1 @ (esk2_1 @ esk4_0))), inference(spm,[status(thm)],[c_0_53, c_0_71])).
% 0.19/0.54 thf(c_0_76, negated_conjecture, (((esk2_1 @ esk4_0)=(esk4_0))|((esk3_0)=(esk4_0))), inference(spm,[status(thm)],[c_0_74, c_0_75])).
% 0.19/0.54 thf(c_0_77, negated_conjecture, ![X2:$i]:((((esk3_0)=(esk4_0))|(($eq @ X2)!=(esk1_1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_76]), c_0_71])).
% 0.19/0.54 thf(c_0_78, negated_conjecture, ((esk3_0)=(esk4_0)), inference(spm,[status(thm)],[c_0_77, c_0_72])).
% 0.19/0.54 thf(c_0_79, negated_conjecture, (esk1_1 @ esk4_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_78])])).
% 0.19/0.54 thf(c_0_80, negated_conjecture, ![X2:$i]:(((($eq @ esk4_0)=(esk1_1))|((X2)=(esk4_0))|~((esk1_1 @ X2)))), inference(rw,[status(thm)],[c_0_17, c_0_78])).
% 0.19/0.54 thf(c_0_81, negated_conjecture, ![X2:$i]:((((esk6_1 @ X2)=(X2))|(esk1_1 @ (esk2_1 @ esk4_0))|(esk1_1 @ (esk6_1 @ X2)))), inference(spm,[status(thm)],[c_0_15, c_0_79])).
% 0.19/0.54 thf(c_0_82, negated_conjecture, ![X2:$i]:((((esk2_1 @ esk4_0)=(esk4_0))|(($eq @ esk4_0)=(esk1_1))|((esk6_1 @ X2)=(X2))|(esk1_1 @ (esk6_1 @ X2)))), inference(spm,[status(thm)],[c_0_80, c_0_81])).
% 0.19/0.54 thf(c_0_83, negated_conjecture, ![X2:$i]:((((esk2_1 @ esk4_0)=(esk4_0))|(($eq @ esk4_0)=(esk1_1))|((esk6_1 @ X2)=(esk4_0))|((esk6_1 @ X2)=(X2)))), inference(spm,[status(thm)],[c_0_80, c_0_82])).
% 0.19/0.54 thf(c_0_84, negated_conjecture, (((esk6_1 @ esk4_0)=(esk4_0))|(($eq @ esk4_0)=(esk1_1))|((esk2_1 @ esk4_0)=(esk4_0))), inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_83])])).
% 0.19/0.54 thf(c_0_85, negated_conjecture, ![X59:$i]:(((((esk4_0)=(X59))<=>(esk1_1 @ X59))|((esk2_1 @ esk4_0)=(esk4_0))|((esk6_1 @ esk4_0)=(esk4_0)))), inference(arg_cong,[status(thm)],[c_0_84])).
% 0.19/0.54 thf(c_0_86, negated_conjecture, ![X2:$i]:((((esk2_1 @ esk4_0)=(esk4_0))|((esk6_1 @ esk4_0)=(esk4_0))|(esk1_1 @ (esk2_1 @ X2))|~((esk1_1 @ X2)))), inference(spm,[status(thm)],[c_0_11, c_0_84])).
% 0.19/0.54 thf(c_0_87, negated_conjecture, (((esk6_1 @ esk4_0)=(esk4_0))|(esk1_1 @ esk4_0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_78]), c_0_78])).
% 0.19/0.54 thf(c_0_88, negated_conjecture, ![X2:$i, X4:$i]:(((((X2)=(esk5_1 @ X2))<~>(esk1_1 @ (esk5_1 @ X2)))|((esk2_1 @ X4)!=(X4))|~((esk1_1 @ X4)))), inference(neg_ext,[status(thm)],[c_0_30])).
% 0.19/0.54 thf(c_0_89, negated_conjecture, ![X2:$i]:((((esk6_1 @ esk4_0)=(esk4_0))|((esk2_1 @ esk4_0)=(esk4_0))|((esk4_0)=(X2))|~((esk1_1 @ X2)))), inference(dynamic_cnf,[status(thm)],[c_0_85])).
% 0.19/0.54 thf(c_0_90, negated_conjecture, (((esk6_1 @ esk4_0)=(esk4_0))|((esk2_1 @ esk4_0)=(esk4_0))|(esk1_1 @ (esk2_1 @ esk4_0))), inference(spm,[status(thm)],[c_0_86, c_0_87])).
% 0.19/0.54 thf(c_0_91, negated_conjecture, ![X2:$i, X4:$i]:((((esk5_1 @ X2)=(X2))|(esk1_1 @ (esk5_1 @ X2))|((esk2_1 @ X4)!=(X4))|~((esk1_1 @ X4)))), inference(dynamic_cnf,[status(thm)],[c_0_88])).
% 0.19/0.54 thf(c_0_92, negated_conjecture, (((esk2_1 @ esk4_0)=(esk4_0))|((esk6_1 @ esk4_0)=(esk4_0))), inference(spm,[status(thm)],[c_0_89, c_0_90])).
% 0.19/0.54 thf(c_0_93, negated_conjecture, ![X2:$i]:((((esk6_1 @ esk4_0)=(esk4_0))|((esk5_1 @ X2)=(X2))|(esk1_1 @ (esk5_1 @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_92]), c_0_79])])).
% 0.19/0.54 thf(c_0_94, negated_conjecture, ![X2:$i]:((((esk6_1 @ esk4_0)=(esk4_0))|(($eq @ X2)!=(esk1_1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_92]), c_0_79])])).
% 0.19/0.54 thf(c_0_95, negated_conjecture, ![X2:$i]:((((esk6_1 @ esk4_0)=(esk4_0))|((esk5_1 @ X2)=(esk4_0))|((esk5_1 @ X2)=(X2)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_93]), c_0_94])).
% 0.19/0.54 thf(c_0_96, negated_conjecture, ![X2:$i, X4:$i]:((((esk5_1 @ X2)!=(X2))|((esk2_1 @ X4)!=(X4))|~((esk1_1 @ (esk5_1 @ X2)))|~((esk1_1 @ X4)))), inference(dynamic_cnf,[status(thm)],[c_0_88])).
% 0.19/0.54 thf(c_0_97, negated_conjecture, (((esk5_1 @ esk4_0)=(esk4_0))|((esk6_1 @ esk4_0)=(esk4_0))), inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_95])])).
% 0.19/0.54 thf(c_0_98, negated_conjecture, ![X2:$i]:((((esk6_1 @ esk4_0)=(esk4_0))|((esk2_1 @ X2)!=(X2))|~((esk1_1 @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_97]), c_0_79])])).
% 0.19/0.54 thf(c_0_99, negated_conjecture, ((esk6_1 @ esk4_0)=(esk4_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_87]), c_0_92])).
% 0.19/0.54 thf(c_0_100, negated_conjecture, ![X2:$i]:(((esk1_1 @ (esk2_1 @ X2))|~((esk1_1 @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_99]), c_0_79])])).
% 0.19/0.54 thf(c_0_101, negated_conjecture, ![X2:$i]:(((($eq @ esk4_0)=(esk1_1))|((esk2_1 @ X2)=(esk4_0))|~((esk1_1 @ X2)))), inference(spm,[status(thm)],[c_0_80, c_0_100])).
% 0.19/0.54 thf(c_0_102, negated_conjecture, (((esk2_1 @ esk4_0)=(esk4_0))|(($eq @ esk4_0)=(esk1_1))), inference(spm,[status(thm)],[c_0_101, c_0_79])).
% 0.19/0.54 thf(c_0_103, negated_conjecture, ![X63:$i]:(((((esk4_0)=(X63))<=>(esk1_1 @ X63))|((esk2_1 @ esk4_0)=(esk4_0)))), inference(arg_cong,[status(thm)],[c_0_102])).
% 0.19/0.54 thf(c_0_104, negated_conjecture, ![X2:$i]:((((esk2_1 @ esk4_0)=(esk4_0))|((esk4_0)=(X2))|~((esk1_1 @ X2)))), inference(dynamic_cnf,[status(thm)],[c_0_103])).
% 0.19/0.54 thf(c_0_105, negated_conjecture, ![X2:$i]:((((esk2_1 @ esk4_0)=(esk4_0))|((esk2_1 @ X2)=(esk4_0))|~((esk1_1 @ X2)))), inference(spm,[status(thm)],[c_0_104, c_0_100])).
% 0.19/0.54 thf(c_0_106, negated_conjecture, ((esk2_1 @ esk4_0)=(esk4_0)), inference(spm,[status(thm)],[c_0_105, c_0_79])).
% 0.19/0.54 thf(c_0_107, negated_conjecture, ![X2:$i]:((($eq @ X2)!=(esk1_1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_106]), c_0_79])])).
% 0.19/0.54 thf(c_0_108, negated_conjecture, ![X2:$i]:((((X2)=(esk25_1 @ X2))<~>(esk1_1 @ (esk25_1 @ X2)))), inference(neg_ext,[status(thm)],[c_0_107])).
% 0.19/0.54 thf(c_0_109, negated_conjecture, ![X2:$i]:((((esk25_1 @ X2)=(X2))|(esk1_1 @ (esk25_1 @ X2)))), inference(dynamic_cnf,[status(thm)],[c_0_108])).
% 0.19/0.54 thf(c_0_110, negated_conjecture, ![X2:$i]:((((esk25_1 @ X2)=(esk4_0))|((esk25_1 @ X2)=(X2)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_109]), c_0_107])).
% 0.19/0.54 thf(c_0_111, negated_conjecture, ![X2:$i]:((((esk25_1 @ X2)!=(X2))|~((esk1_1 @ (esk25_1 @ X2))))), inference(dynamic_cnf,[status(thm)],[c_0_108])).
% 0.19/0.54 thf(c_0_112, negated_conjecture, ((esk25_1 @ esk4_0)=(esk4_0)), inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_110])])).
% 0.19/0.54 thf(c_0_113, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_112]), c_0_79])]), ['proof']).
% 0.19/0.54 # SZS output end CNFRefutation
% 0.19/0.54 # Parsed axioms : 7
% 0.19/0.54 # Removed by relevancy pruning/SinE : 0
% 0.19/0.54 # Initial clauses : 4
% 0.19/0.54 # Removed in clause preprocessing : 3
% 0.19/0.54 # Initial clauses in saturation : 1
% 0.19/0.54 # Processed clauses : 398
% 0.19/0.54 # ...of these trivial : 16
% 0.19/0.54 # ...subsumed : 179
% 0.19/0.54 # ...remaining for further processing : 203
% 0.19/0.54 # Other redundant clauses eliminated : 45
% 0.19/0.54 # Clauses deleted for lack of memory : 0
% 0.19/0.54 # Backward-subsumed : 110
% 0.19/0.54 # Backward-rewritten : 50
% 0.19/0.54 # Generated clauses : 1152
% 0.19/0.54 # ...of the previous two non-redundant : 1097
% 0.19/0.54 # ...aggressively subsumed : 0
% 0.19/0.54 # Contextual simplify-reflections : 25
% 0.19/0.54 # Paramodulations : 989
% 0.19/0.54 # Factorizations : 26
% 0.19/0.54 # NegExts : 22
% 0.19/0.54 # Equation resolutions : 45
% 0.19/0.54 # Disequality decompositions : 0
% 0.19/0.54 # Total rewrite steps : 123
% 0.19/0.54 # ...of those cached : 119
% 0.19/0.54 # Propositional unsat checks : 0
% 0.19/0.54 # Propositional check models : 0
% 0.19/0.54 # Propositional check unsatisfiable : 0
% 0.19/0.54 # Propositional clauses : 0
% 0.19/0.54 # Propositional clauses after purity: 0
% 0.19/0.54 # Propositional unsat core size : 0
% 0.19/0.54 # Propositional preprocessing time : 0.000
% 0.19/0.54 # Propositional encoding time : 0.000
% 0.19/0.54 # Propositional solver time : 0.000
% 0.19/0.54 # Success case prop preproc time : 0.000
% 0.19/0.54 # Success case prop encoding time : 0.000
% 0.19/0.54 # Success case prop solver time : 0.000
% 0.19/0.54 # Current number of processed clauses : 17
% 0.19/0.54 # Positive orientable unit clauses : 5
% 0.19/0.54 # Positive unorientable unit clauses: 0
% 0.19/0.54 # Negative unit clauses : 2
% 0.19/0.54 # Non-unit-clauses : 10
% 0.19/0.54 # Current number of unprocessed clauses: 544
% 0.19/0.54 # ...number of literals in the above : 3342
% 0.19/0.54 # Current number of archived formulas : 0
% 0.19/0.54 # Current number of archived clauses : 186
% 0.19/0.54 # Clause-clause subsumption calls (NU) : 4416
% 0.19/0.54 # Rec. Clause-clause subsumption calls : 1099
% 0.19/0.54 # Non-unit clause-clause subsumptions : 312
% 0.19/0.54 # Unit Clause-clause subsumption calls : 36
% 0.19/0.54 # Rewrite failures with RHS unbound : 0
% 0.19/0.54 # BW rewrite match attempts : 4
% 0.19/0.54 # BW rewrite match successes : 4
% 0.19/0.54 # Condensation attempts : 0
% 0.19/0.54 # Condensation successes : 0
% 0.19/0.54 # Termbank termtop insertions : 40247
% 0.19/0.54 # Search garbage collected termcells : 85
% 0.19/0.54
% 0.19/0.54 # -------------------------------------------------
% 0.19/0.54 # User time : 0.049 s
% 0.19/0.54 # System time : 0.001 s
% 0.19/0.54 # Total time : 0.050 s
% 0.19/0.54 # Maximum resident set size: 1760 pages
% 0.19/0.54
% 0.19/0.54 # -------------------------------------------------
% 0.19/0.54 # User time : 0.207 s
% 0.19/0.54 # System time : 0.011 s
% 0.19/0.54 # Total time : 0.218 s
% 0.19/0.54 # Maximum resident set size: 1740 pages
% 0.19/0.54 % E---3.1 exiting
% 0.19/0.54 % E exiting
%------------------------------------------------------------------------------