%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEV101^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 08:35:58 AM UTC 2026
% Result : Theorem 1.07s 0.47s
% Output : CNFRefutation 1.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV101^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n010.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Sep 29 15:10:48 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.09/0.22 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/tmp/tmp.E0kKgSksrm/E---3.1_2977388.p
% 1.07/0.47 % Version: 3.5.1-ho
% 1.07/0.47 % Preprocessing class: HSMSSMSSSSMNHHA.
% 1.07/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.07/0.47 % Starting ehoh_best4_fo with 1200s (4) cores
% 1.07/0.47 % Starting ehoh_best_nonlift_rwall with 600s (2) cores
% 1.07/0.47 % Starting lpo1_lambda_fix with 300s (1) cores
% 1.07/0.47 % Starting full_lambda_9 with 300s (1) cores
% 1.07/0.47 % full_lambda_9 with pid 2977404 completed with status 0
% 1.07/0.47 % Result found by full_lambda_9
% 1.07/0.47 % Preprocessing class: HSMSSMSSSSMNHHA.
% 1.07/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.07/0.47 % Starting ehoh_best4_fo with 1200s (4) cores
% 1.07/0.47 % Starting ehoh_best_nonlift_rwall with 600s (2) cores
% 1.07/0.47 % Starting lpo1_lambda_fix with 300s (1) cores
% 1.07/0.47 % Starting full_lambda_9 with 300s (1) cores
% 1.07/0.47 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,4,,3,20000,3.0,true))
% 1.07/0.47 % SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 1.07/0.47 % Search class: HGHNF-FFMF22-SHHFFMBN
% 1.07/0.47 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1.07/0.47 % Starting SubtermCWHack with 28s (1) cores
% 1.07/0.47 % SubtermCWHack with pid 2977411 completed with status 10
% 1.07/0.47 % Starting full_lambda_9 with 31s (1) cores
% 1.07/0.47 % full_lambda_9 with pid 2977414 completed with status 10
% 1.07/0.47 % Starting ehoh_best3_rw with 28s (1) cores
% 1.07/0.47 % ehoh_best3_rw with pid 2977417 completed with status 0
% 1.07/0.47 % Result found by ehoh_best3_rw
% 1.07/0.47 % Preprocessing class: HSMSSMSSSSMNHHA.
% 1.07/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.07/0.47 % Starting ehoh_best4_fo with 1200s (4) cores
% 1.07/0.47 % Starting ehoh_best_nonlift_rwall with 600s (2) cores
% 1.07/0.47 % Starting lpo1_lambda_fix with 300s (1) cores
% 1.07/0.47 % Starting full_lambda_9 with 300s (1) cores
% 1.07/0.47 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,4,,3,20000,3.0,true))
% 1.07/0.47 % SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 1.07/0.47 % Search class: HGHNF-FFMF22-SHHFFMBN
% 1.07/0.47 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1.07/0.47 % Starting SubtermCWHack with 28s (1) cores
% 1.07/0.47 % SubtermCWHack with pid 2977411 completed with status 10
% 1.07/0.47 % Starting full_lambda_9 with 31s (1) cores
% 1.07/0.47 % full_lambda_9 with pid 2977414 completed with status 10
% 1.07/0.47 % Starting ehoh_best3_rw with 28s (1) cores
% 1.07/0.47 % Preprocessing time : 0.002 s
% 1.07/0.47 % Presaturation interreduction done
% 1.07/0.47
% 1.07/0.47 % Proof found!
% 1.07/0.47 % SZS status Theorem
% 1.07/0.47 % SZS output start CNFRefutation
% 1.07/0.47 thf(decl_23, type, p: $o).
% 1.07/0.47 thf(decl_24, type, epred1_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o).
% 1.07/0.47 thf(decl_25, type, esk1_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i).
% 1.07/0.47 thf(decl_26, type, epred2_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o).
% 1.07/0.47 thf(decl_27, type, epred3_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o).
% 1.07/0.47 thf(decl_28, type, epred4_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o).
% 1.07/0.47 thf(decl_29, type, esk2_2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i).
% 1.07/0.47 thf(decl_30, type, epred5_0: $i > $o).
% 1.07/0.47 thf(decl_31, type, epred6_0: $i > $o).
% 1.07/0.47 thf(cTHM120E_pme, conjecture, ?[X1:($i > $o) > ($i > $o) > $i > $o, X2:($i > $o) > ($i > $o) > $i > $o]:(((![X3:$i > $o, X4:$i]:(((X2 @ X3 @ X3 @ X4)|(X1 @ X3 @ X3 @ X4)))&![X3:$i > $o, X5:$i > $o, X6:$i > $o]:(((![X4:$i]:(((X2 @ X3 @ X5 @ X4)|(X1 @ X3 @ X5 @ X4)))&![X4:$i]:(((X2 @ X5 @ X6 @ X4)|(X1 @ X5 @ X6 @ X4))))=>![X4:$i]:(((X2 @ X3 @ X6 @ X4)|(X1 @ X3 @ X6 @ X4))))))&~(![X4:$i]:(((X2 @ (^[X7:$i]:((((p))|(~((p)))))) @ (^[X8:$i]:((((p))&(~((p)))))) @ X4)|(X1 @ (^[X9:$i]:((((p))|(~((p)))))) @ (^[X10:$i]:((((p))&(~((p)))))) @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.E0kKgSksrm/E---3.1_2977388.p', cTHM120E_pme)).
% 1.07/0.47 thf(c_0_1, negated_conjecture, ~(?[X1:($i > $o) > ($i > $o) > $i > $o, X2:($i > $o) > ($i > $o) > $i > $o]:(((![X3:$i > $o, X4:$i]:(((X2 @ X3 @ X3 @ X4)|(X1 @ X3 @ X3 @ X4)))&![X3:$i > $o, X5:$i > $o, X6:$i > $o]:(((![X4:$i]:(((X2 @ X3 @ X5 @ X4)|(X1 @ X3 @ X5 @ X4)))&![X4:$i]:(((X2 @ X5 @ X6 @ X4)|(X1 @ X5 @ X6 @ X4))))=>![X4:$i]:(((X2 @ X3 @ X6 @ X4)|(X1 @ X3 @ X6 @ X4))))))&~(![X4:$i]:(((X2 @ (^[X7:$i]:((((p))|(~((p)))))) @ (^[X8:$i]:((((p))&(~((p)))))) @ X4)|(X1 @ (^[X9:$i]:((((p))|(~((p)))))) @ (^[X10:$i]:((((p))&(~((p)))))) @ X4))))))), inference(assume_negation,[status(cth)],[cTHM120E_pme])).
% 1.07/0.47 thf(c_0_2, negated_conjecture, ~(?[X1:($i > $o) > ($i > $o) > $i > $o, X2:($i > $o) > ($i > $o) > $i > $o]:(((![X3:$i > $o, X4:$i]:(((X2 @ X3 @ X3 @ X4)|(X1 @ X3 @ X3 @ X4)))&![X3:$i > $o, X5:$i > $o, X6:$i > $o]:(((![X4:$i]:(((X2 @ X3 @ X5 @ X4)|(X1 @ X3 @ X5 @ X4)))&![X4:$i]:(((X2 @ X5 @ X6 @ X4)|(X1 @ X5 @ X6 @ X4))))=>![X4:$i]:(((X2 @ X3 @ X6 @ X4)|(X1 @ X3 @ X6 @ X4))))))&~(![X4:$i]:(((X2 @ (^[Z0:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X4)|(X1 @ (^[Z0:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X4))))))), inference(fof_simplification,[status(thm)],[c_0_1])).
% 1.07/0.47 thf(c_0_3, negated_conjecture, ![X22:($i > $o) > ($i > $o) > $i > $o, X23:($i > $o) > ($i > $o) > $i > $o, X29:$i, X30:$i, X32:$i]:((((((X23 @ (epred2_2 @ X22 @ X23) @ (epred3_2 @ X22 @ X23) @ X29)|(X22 @ (epred2_2 @ X22 @ X23) @ (epred3_2 @ X22 @ X23) @ X29)|~(X23 @ (epred1_2 @ X22 @ X23) @ (epred1_2 @ X22 @ X23) @ (esk1_2 @ X22 @ X23))|((X23 @ (^[Z0:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X32)|(X22 @ (^[Z0:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X32)))&((X23 @ (epred3_2 @ X22 @ X23) @ (epred4_2 @ X22 @ X23) @ X30)|(X22 @ (epred3_2 @ X22 @ X23) @ (epred4_2 @ X22 @ X23) @ X30)|~(X23 @ (epred1_2 @ X22 @ X23) @ (epred1_2 @ X22 @ X23) @ (esk1_2 @ X22 @ X23))|((X23 @ (^[Z0:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X32)|(X22 @ (^[Z0:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X32))))&((~(X23 @ (epred2_2 @ X22 @ X23) @ (epred4_2 @ X22 @ X23) @ (esk2_2 @ X22 @ X23))|~(X23 @ (epred1_2 @ X22 @ X23) @ (epred1_2 @ X22 @ X23) @ (esk1_2 @ X22 @ X23))|((X23 @ (^[Z0:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X32)|(X22 @ (^[Z0:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X32)))&(~(X22 @ (epred2_2 @ X22 @ X23) @ (epred4_2 @ X22 @ X23) @ (esk2_2 @ X22 @ X23))|~(X23 @ (epred1_2 @ X22 @ X23) @ (epred1_2 @ X22 @ X23) @ (esk1_2 @ X22 @ X23))|((X23 @ (^[Z0:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X32)|(X22 @ (^[Z0:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X32)))))&((((X23 @ (epred2_2 @ X22 @ X23) @ (epred3_2 @ X22 @ X23) @ X29)|(X22 @ (epred2_2 @ X22 @ X23) @ (epred3_2 @ X22 @ X23) @ X29)|~(X22 @ (epred1_2 @ X22 @ X23) @ (epred1_2 @ X22 @ X23) @ (esk1_2 @ X22 @ X23))|((X23 @ (^[Z0:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X32)|(X22 @ (^[Z0:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X32)))&((X23 @ (epred3_2 @ X22 @ X23) @ (epred4_2 @ X22 @ X23) @ X30)|(X22 @ (epred3_2 @ X22 @ X23) @ (epred4_2 @ X22 @ X23) @ X30)|~(X22 @ (epred1_2 @ X22 @ X23) @ (epred1_2 @ X22 @ X23) @ (esk1_2 @ X22 @ X23))|((X23 @ (^[Z0:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X32)|(X22 @ (^[Z0:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X32))))&((~(X23 @ (epred2_2 @ X22 @ X23) @ (epred4_2 @ X22 @ X23) @ (esk2_2 @ X22 @ X23))|~(X22 @ (epred1_2 @ X22 @ X23) @ (epred1_2 @ X22 @ X23) @ (esk1_2 @ X22 @ X23))|((X23 @ (^[Z0:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X32)|(X22 @ (^[Z0:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X32)))&(~(X22 @ (epred2_2 @ X22 @ X23) @ (epred4_2 @ X22 @ X23) @ (esk2_2 @ X22 @ X23))|~(X22 @ (epred1_2 @ X22 @ X23) @ (epred1_2 @ X22 @ X23) @ (esk1_2 @ X22 @ X23))|((X23 @ (^[Z0:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X32)|(X22 @ (^[Z0:$i]:((((p))|(~((p)))))) @ (^[Z0:$i]:((((p))&(~((p)))))) @ X32))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])])).
% 1.07/0.47 thf(c_0_4, plain, ![X34:$i]:(((epred6_0 @ X34)<=>((p)&~((p))))), introduced(definition)).
% 1.07/0.47 thf(c_0_5, plain, ![X33:$i]:(((epred5_0 @ X33)<=>((p)|~((p))))), introduced(definition)).
% 1.07/0.47 thf(c_0_6, negated_conjecture, ![X4:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((((X1 @ epred5_0 @ epred6_0 @ X4))=(($true)))|(((X2 @ epred5_0 @ epred6_0 @ X4))=(($true)))|~((X1 @ (epred2_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1)))|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4]), c_0_5]), c_0_4]), c_0_5])).
% 1.07/0.47 thf(c_0_7, plain, ![X66:$i]:(((~(epred5_0 @ X66)|((p)|~(p)))&((~(p)|(epred5_0 @ X66))&((p)|(epred5_0 @ X66))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[])])])])])).
% 1.07/0.47 thf(c_0_8, plain, ![X65:$i]:(((((p)|~(epred6_0 @ X65))&(~(p)|~(epred6_0 @ X65)))&(~(p)|(p)|(epred6_0 @ X65)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[])])])])])).
% 1.07/0.47 thf(c_0_9, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X4:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((((X2 @ epred5_0 @ epred6_0 @ X4))=(($true)))|(((X1 @ epred5_0 @ epred6_0 @ X4))=(($true)))|~((X1 @ (epred2_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2)))|~((X1 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4]), c_0_5]), c_0_4]), c_0_5])).
% 1.07/0.47 thf(c_0_10, negated_conjecture, ![X4:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ epred5_0 @ epred6_0 @ X4)|(X2 @ epred5_0 @ epred6_0 @ X4)|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1)))|~((X1 @ (epred2_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ (esk2_2 @ X2 @ X1))))), inference(cn,[status(thm)],[c_0_6])).
% 1.07/0.47 thf(c_0_11, plain, ![X4:$i]:(((p)|(epred5_0 @ X4))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 1.07/0.47 thf(c_0_12, plain, ![X4:$i]:(((epred5_0 @ X4)|~((p)))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 1.07/0.47 thf(c_0_13, plain, ![X4:$i]:((~((p))|~((epred6_0 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_8])).
% 1.07/0.47 thf(c_0_14, plain, ![X4:$i]:(((p)|~((epred6_0 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_8])).
% 1.07/0.47 thf(c_0_15, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X4:$i, X2:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ epred5_0 @ epred6_0 @ X4)|(X2 @ epred5_0 @ epred6_0 @ X4)|~((X1 @ (epred1_2 @ X1 @ X2) @ (epred1_2 @ X1 @ X2) @ (esk1_2 @ X1 @ X2)))|~((X1 @ (epred2_2 @ X1 @ X2) @ (epred4_2 @ X1 @ X2) @ (esk2_2 @ X1 @ X2))))), inference(cn,[status(thm)],[c_0_9])).
% 1.07/0.47 thf(c_0_16, negated_conjecture, ![X4:$i, X1:($i > $o) > ($i > $o) > $i > $o]:((((epred6_0)=(epred5_0))|(X1 @ epred5_0 @ epred6_0 @ X4)|~((X1 @ (epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ (epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ (esk2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1))))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_10])).
% 1.07/0.47 thf(c_0_17, plain, ![X4:$i]:((epred5_0 @ X4)), inference(csr,[status(thm)],[c_0_11, c_0_12])).
% 1.07/0.47 thf(c_0_18, plain, ![X4:$i]:(~((epred6_0 @ X4))), inference(csr,[status(thm)],[c_0_13, c_0_14])).
% 1.07/0.47 thf(c_0_19, negated_conjecture, ![X4:$i, X1:($i > $o) > ($i > $o) > $i > $o]:((((epred6_0)=(epred5_0))|(X1 @ epred5_0 @ epred6_0 @ X4)|((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1)!=(epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1)))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_15])).
% 1.07/0.47 thf(c_0_20, negated_conjecture, ![X4:$i, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ epred5_0 @ epred6_0 @ X4)|~((X1 @ (epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ (epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ (esk2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1))))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_16]), c_0_17]), c_0_18])).
% 1.07/0.47 thf(c_0_21, negated_conjecture, ![X7:$i, X4:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred2_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ X4)|(X2 @ (epred2_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ X4)|(((X1 @ epred5_0 @ epred6_0 @ X7))=(($true)))|(((X2 @ epred5_0 @ epred6_0 @ X7))=(($true)))|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4]), c_0_5]), c_0_4]), c_0_5])).
% 1.07/0.47 thf(c_0_22, negated_conjecture, ![X4:$i, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ epred5_0 @ epred6_0 @ X4)|((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1)!=(epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1)))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(arg_cong,[status(thm)],[c_0_19]), c_0_17]), c_0_18])).
% 1.07/0.47 thf(c_0_23, negated_conjecture, (((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~(Z0))))=(epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~(Z0)))))|((epred6_0)!=(epred5_0))), inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]), c_0_20])).
% 1.07/0.47 thf(c_0_24, negated_conjecture, ![X7:$i, X4:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred3_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ X4)|(X2 @ (epred3_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ X4)|(((X1 @ epred5_0 @ epred6_0 @ X7))=(($true)))|(((X2 @ epred5_0 @ epred6_0 @ X7))=(($true)))|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_3]), c_0_4]), c_0_5]), c_0_4]), c_0_5])).
% 1.07/0.47 thf(c_0_25, negated_conjecture, ![X7:$i, X4:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred2_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ X4)|(X2 @ (epred2_2 @ X2 @ X1) @ (epred3_2 @ X2 @ X1) @ X4)|(X1 @ epred5_0 @ epred6_0 @ X7)|(X2 @ epred5_0 @ epred6_0 @ X7)|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(cn,[status(thm)],[c_0_21])).
% 1.07/0.47 thf(c_0_26, negated_conjecture, ((epred6_0)!=(epred5_0)), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23])])])).
% 1.07/0.47 thf(c_0_27, negated_conjecture, ![X7:$i, X4:$i, X2:($i > $o) > ($i > $o) > $i > $o, X1:($i > $o) > ($i > $o) > $i > $o]:(((X1 @ (epred3_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ X4)|(X2 @ (epred3_2 @ X2 @ X1) @ (epred4_2 @ X2 @ X1) @ X4)|(X1 @ epred5_0 @ epred6_0 @ X7)|(X2 @ epred5_0 @ epred6_0 @ X7)|~((X2 @ (epred1_2 @ X2 @ X1) @ (epred1_2 @ X2 @ X1) @ (esk1_2 @ X2 @ X1))))), inference(cn,[status(thm)],[c_0_24])).
% 1.07/0.47 thf(c_0_28, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X4:$i, X7:$i]:((((epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1)=(epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1))|(X1 @ (epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ (epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ X4)|(X1 @ epred5_0 @ epred6_0 @ X7))), inference(sr,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_25]), c_0_26])).
% 1.07/0.47 thf(c_0_29, negated_conjecture, ![X1:($i > $o) > ($i > $o) > $i > $o, X4:$i, X7:$i]:((((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1)=(epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1))|(X1 @ (epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ (epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ X1) @ X4)|(X1 @ epred5_0 @ epred6_0 @ X7))), inference(sr,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]), c_0_27]), c_0_26])).
% 1.07/0.47 thf(c_0_30, negated_conjecture, ((epred3_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~($true))))=(epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~($true))))), inference(primitive_enumeration,[status(thm)],[c_0_28])).
% 1.07/0.47 thf(c_0_31, negated_conjecture, ((epred4_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~($true))))!=(epred2_2 @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((Z0))) @ (^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~($true))))), inference(primitive_enumeration,[status(thm)],[c_0_22])).
% 1.07/0.47 thf(c_0_32, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(primitive_enumeration,[status(thm)],[c_0_29]), c_0_30]), c_0_31]), ['proof']).
% 1.07/0.47 % SZS output end CNFRefutation
% 1.07/0.47 % Parsed axioms : 2
% 1.07/0.47 % Removed by relevancy pruning/SinE : 1
% 1.07/0.47 % Initial clauses : 14
% 1.07/0.47 % Removed in clause preprocessing : 2
% 1.07/0.47 % Initial clauses in saturation : 12
% 1.07/0.47 % Processed clauses : 491
% 1.07/0.47 % ...of these trivial : 37
% 1.07/0.47 % ...subsumed : 126
% 1.07/0.47 % ...remaining for further processing : 328
% 1.07/0.47 % Other redundant clauses eliminated : 8
% 1.07/0.47 % Clauses deleted for lack of memory : 0
% 1.07/0.47 % Backward-subsumed : 33
% 1.07/0.47 % Backward-rewritten : 15
% 1.07/0.47 % Generated clauses : 1408
% 1.07/0.47 % ...of the previous two non-redundant : 1065
% 1.07/0.47 % ...aggressively subsumed : 0
% 1.07/0.47 % Contextual simplify-reflections : 3
% 1.07/0.47 % Paramodulations : 528
% 1.07/0.47 % Factorizations : 4
% 1.07/0.47 % NegExts : 25
% 1.07/0.47 % Equation resolutions : 8
% 1.07/0.47 % Disequality decompositions : 0
% 1.07/0.47 % Total rewrite steps : 290
% 1.07/0.47 % ...of those cached : 118
% 1.07/0.47 % Propositional unsat checks : 0
% 1.07/0.47 % Propositional check models : 0
% 1.07/0.47 % Propositional check unsatisfiable : 0
% 1.07/0.47 % Propositional clauses : 0
% 1.07/0.47 % Propositional clauses after purity: 0
% 1.07/0.47 % Propositional unsat core size : 0
% 1.07/0.47 % Propositional preprocessing time : 0.000
% 1.07/0.47 % Propositional encoding time : 0.000
% 1.07/0.47 % Propositional solver time : 0.000
% 1.07/0.47 % Success case prop preproc time : 0.000
% 1.07/0.47 % Success case prop encoding time : 0.000
% 1.07/0.47 % Success case prop solver time : 0.000
% 1.07/0.47 % Current number of processed clauses : 170
% 1.07/0.47 % Positive orientable unit clauses : 30
% 1.07/0.47 % Positive unorientable unit clauses: 2
% 1.07/0.47 % Negative unit clauses : 11
% 1.07/0.47 % Non-unit-clauses : 127
% 1.07/0.47 % Current number of unprocessed clauses: 582
% 1.07/0.47 % ...number of literals in the above : 2175
% 1.07/0.47 % Current number of archived formulas : 0
% 1.07/0.47 % Current number of archived clauses : 158
% 1.07/0.47 % Clause-clause subsumption calls (NU) : 4564
% 1.07/0.47 % Rec. Clause-clause subsumption calls : 1803
% 1.07/0.47 % Non-unit clause-clause subsumptions : 70
% 1.07/0.47 % Unit Clause-clause subsumption calls : 525
% 1.07/0.47 % Rewrite failures with RHS unbound : 0
% 1.07/0.47 % BW rewrite match attempts : 320
% 1.07/0.47 % BW rewrite match successes : 66
% 1.07/0.47 % Condensation attempts : 0
% 1.07/0.47 % Condensation successes : 0
% 1.07/0.47 % Termbank termtop insertions : 409063
% 1.07/0.47 % Search garbage collected termcells : 331
% 1.07/0.47
% 1.07/0.47 % -------------------------------------------------
% 1.07/0.47 % User time : 0.211 s
% 1.07/0.47 % System time : 0.008 s
% 1.07/0.47 % Total time : 0.219 s
% 1.07/0.47 % Maximum resident set size: 3640 pages
% 1.07/0.47
% 1.07/0.47 % -------------------------------------------------
% 1.07/0.47 % User time : 0.214 s
% 1.07/0.47 % System time : 0.011 s
% 1.07/0.47 % Total time : 0.225 s
% 1.07/0.47 % Maximum resident set size: 4608 pages
% 1.07/0.47 % E exiting
%------------------------------------------------------------------------------