%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP204^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 08:04:40 AM UTC 2026
% Result : Theorem 0.40s 0.41s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP204^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n018.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 20:13:56 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.22/0.29 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.xEPByLpwDJ/E---3.1_586653.p
% 0.40/0.41 % Version: 3.5.1-ho
% 0.40/0.41 % Preprocessing class: HSLSSMSMSSLNHHA.
% 0.40/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.41 % Starting new_ho_10 with 1500s (5) cores
% 0.40/0.41 % Starting new_bool_2 with 300s (1) cores
% 0.40/0.41 % Starting lpo1_def_fix with 300s (1) cores
% 0.40/0.41 % Starting new_bool_3 with 300s (1) cores
% 0.40/0.41 % new_ho_10 with pid 586666 completed with status 0
% 0.40/0.41 % Result found by new_ho_10
% 0.40/0.41 % Preprocessing class: HSLSSMSMSSLNHHA.
% 0.40/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.41 % Starting new_ho_10 with 1500s (5) cores
% 0.40/0.41 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.40/0.41 % No SInE strategy applied
% 0.40/0.41 % Search class: HGHSM-FSLM31-MHHFFSBN
% 0.40/0.41 % partial match(1): HGHSM-FSLM31-MHFFFSBN
% 0.40/0.41 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.40/0.41 % Starting SubtermCWHack with 151s (1) cores
% 0.40/0.41 % Starting new_ho_10 with 901s (1) cores
% 0.40/0.41 % Starting pre_casc_8 with 151s (1) cores
% 0.40/0.41 % Starting additional_ho_6 with 151s (1) cores
% 0.40/0.41 % Starting full_lambda_10 with 146s (1) cores
% 0.40/0.41 % new_ho_10 with pid 586674 completed with status 0
% 0.40/0.41 % Result found by new_ho_10
% 0.40/0.41 % Preprocessing class: HSLSSMSMSSLNHHA.
% 0.40/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.41 % Starting new_ho_10 with 1500s (5) cores
% 0.40/0.41 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.40/0.41 % No SInE strategy applied
% 0.40/0.41 % Search class: HGHSM-FSLM31-MHHFFSBN
% 0.40/0.41 % partial match(1): HGHSM-FSLM31-MHFFFSBN
% 0.40/0.41 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.40/0.41 % Starting SubtermCWHack with 151s (1) cores
% 0.40/0.41 % Starting new_ho_10 with 901s (1) cores
% 0.40/0.41 % Preprocessing time : 0.008 s
% 0.40/0.41 % Presaturation interreduction done
% 0.40/0.41
% 0.40/0.41 % Proof found!
% 0.40/0.41 % SZS status Theorem
% 0.40/0.41 % SZS output start CNFRefutation
% 0.40/0.41 thf(decl_sort1, type, option_fml: $tType).
% 0.40/0.41 thf(decl_sort2, type, option_trm: $tType).
% 0.40/0.41 thf(decl_sort3, type, set_variable: $tType).
% 0.40/0.41 thf(decl_sort4, type, option_game: $tType).
% 0.40/0.41 thf(decl_sort5, type, fml: $tType).
% 0.40/0.41 thf(decl_sort6, type, trm: $tType).
% 0.40/0.41 thf(decl_sort7, type, char: $tType).
% 0.40/0.41 thf(decl_sort8, type, produc799602994n_game: $tType).
% 0.40/0.41 thf(decl_sort9, type, produc62062515n_game: $tType).
% 0.40/0.41 thf(decl_sort10, type, produc1418842292n_game: $tType).
% 0.40/0.41 thf(decl_27, type, inf_inf_set_variable: set_variable > set_variable > set_variable).
% 0.40/0.41 thf(decl_28, type, none_fml: option_fml).
% 0.40/0.41 thf(decl_40, type, the_fml: option_fml > fml).
% 0.40/0.41 thf(decl_42, type, the_trm: option_trm > trm).
% 0.40/0.41 thf(decl_44, type, bot_bot_set_variable: set_variable).
% 0.40/0.41 thf(decl_58, type, produc1420172399on_fml: ((char > option_fml) > (char > option_game) > char > option_fml) > produc799602994n_game > char > option_fml).
% 0.40/0.41 thf(decl_62, type, produc1615133358on_fml: ((char > option_trm) > produc799602994n_game > char > option_fml) > produc62062515n_game > char > option_fml).
% 0.40/0.41 thf(decl_66, type, produc1250175341on_fml: ((char > option_trm) > produc62062515n_game > char > option_fml) > produc1418842292n_game > char > option_fml).
% 0.40/0.41 thf(decl_71, type, static_FVF: fml > set_variable).
% 0.40/0.41 thf(decl_74, type, pred: char > trm > fml).
% 0.40/0.41 thf(decl_78, type, uSubst1408967625substt: trm > produc1418842292n_game).
% 0.40/0.41 thf(decl_80, type, uSubst516392804stappf: produc1418842292n_game > set_variable > fml > option_fml).
% 0.40/0.41 thf(decl_81, type, uSubst516392818stappt: produc1418842292n_game > set_variable > trm > option_trm).
% 0.40/0.41 thf(decl_84, type, va: set_variable).
% 0.40/0.41 thf(decl_85, type, sigma: produc1418842292n_game).
% 0.40/0.41 thf(decl_86, type, theta: trm).
% 0.40/0.41 thf(decl_87, type, p: char).
% 0.40/0.41 thf(decl_222, type, esk132_0: (char > option_fml) > (char > option_game) > char > option_fml).
% 0.40/0.41 thf(decl_223, type, esk133_0: (char > option_trm) > produc799602994n_game > char > option_fml).
% 0.40/0.41 thf(decl_224, type, esk134_0: (char > option_trm) > produc62062515n_game > char > option_fml).
% 0.40/0.41 thf(conj_0, conjecture, (((uSubst516392804stappf @ sigma @ va @ (pred @ p @ theta))!=(none_fml))|((produc1250175341on_fml @ (^[X5:char > option_trm]:(produc1615133358on_fml @ (^[X6:char > option_trm]:(produc1420172399on_fml @ (^[X7:char > option_fml, X8:char > option_game]:(X7)))))) @ sigma @ p)=(none_fml))), file('/export/starexec/sandbox2/tmp/tmp.xEPByLpwDJ/E---3.1_586653.p', conj_0)).
% 0.40/0.41 thf(fact_3__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_092_060sigma_062_AV_A_IPred_Ap_A_092_060theta_062_J_A_092_060Longrightarrow_062_ASPreds_A_092_060sigma_062_Ap_A_061_Aundeff_092_060close_062, axiom, (~(((((inf_inf_set_variable @ (static_FVF @ (the_fml @ (produc1250175341on_fml @ (^[X5:char > option_trm]:(produc1615133358on_fml @ (^[X6:char > option_trm]:(produc1420172399on_fml @ (^[X7:char > option_fml, X8:char > option_game]:(X7)))))) @ sigma @ p))) @ va)=(bot_bot_set_variable))=>((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ bot_bot_set_variable @ (the_fml @ (produc1250175341on_fml @ (^[X5:char > option_trm]:(produc1615133358on_fml @ (^[X6:char > option_trm]:(produc1420172399on_fml @ (^[X7:char > option_fml, X8:char > option_game]:(X7)))))) @ sigma @ p)))=(uSubst516392804stappf @ sigma @ va @ (pred @ p @ theta))))&(((inf_inf_set_variable @ (static_FVF @ (the_fml @ (produc1250175341on_fml @ (^[X5:char > option_trm]:(produc1615133358on_fml @ (^[X6:char > option_trm]:(produc1420172399on_fml @ (^[X7:char > option_fml, X8:char > option_game]:(X7)))))) @ sigma @ p))) @ va)!=(bot_bot_set_variable))=>((none_fml)=(uSubst516392804stappf @ sigma @ va @ (pred @ p @ theta))))))=>((produc1250175341on_fml @ (^[X5:char > option_trm]:(produc1615133358on_fml @ (^[X6:char > option_trm]:(produc1420172399on_fml @ (^[X7:char > option_fml, X8:char > option_game]:(X7)))))) @ sigma @ p)=(none_fml))), file('/export/starexec/sandbox2/tmp/tmp.xEPByLpwDJ/E---3.1_586653.p', fact_3__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_092_060sigma_062_AV_A_IPred_Ap_A_092_060theta_062_J_A_092_060Longrightarrow_062_ASPreds_A_092_060sigma_062_Ap_A_061_Aundeff_092_060close_062)).
% 0.40/0.41 thf(fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062, axiom, ~((((inf_inf_set_variable @ (static_FVF @ (the_fml @ (produc1250175341on_fml @ (^[X5:char > option_trm]:(produc1615133358on_fml @ (^[X6:char > option_trm]:(produc1420172399on_fml @ (^[X7:char > option_fml, X8:char > option_game]:(X7)))))) @ sigma @ p))) @ va)=(bot_bot_set_variable))=>((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ bot_bot_set_variable @ (the_fml @ (produc1250175341on_fml @ (^[X5:char > option_trm]:(produc1615133358on_fml @ (^[X6:char > option_trm]:(produc1420172399on_fml @ (^[X7:char > option_fml, X8:char > option_game]:(X7)))))) @ sigma @ p)))=(none_fml)))), file('/export/starexec/sandbox2/tmp/tmp.xEPByLpwDJ/E---3.1_586653.p', fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062)).
% 0.40/0.41 thf(c_0_3, negated_conjecture, ~((((uSubst516392804stappf @ sigma @ va @ (pred @ p @ theta))!=(none_fml))|((produc1250175341on_fml @ (^[X5:char > option_trm]:(produc1615133358on_fml @ (^[X6:char > option_trm]:(produc1420172399on_fml @ (^[X7:char > option_fml, X8:char > option_game]:(X7)))))) @ sigma @ p)=(none_fml)))), inference(assume_negation,[status(cth)],[conj_0])).
% 0.40/0.41 thf(c_0_4, plain, (~(((((inf_inf_set_variable @ (static_FVF @ (the_fml @ (produc1250175341on_fml @ (^[Z0:char > option_trm]:(produc1615133358on_fml @ (^[Z1:char > option_trm]:(produc1420172399on_fml @ (^[Z2:char > option_fml, Z3:char > option_game]:(Z2)))))) @ sigma @ p))) @ va)=(bot_bot_set_variable))=>((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ bot_bot_set_variable @ (the_fml @ (produc1250175341on_fml @ (^[Z0:char > option_trm]:(produc1615133358on_fml @ (^[Z1:char > option_trm]:(produc1420172399on_fml @ (^[Z2:char > option_fml, Z3:char > option_game]:(Z2)))))) @ sigma @ p)))=(uSubst516392804stappf @ sigma @ va @ (pred @ p @ theta))))&(((inf_inf_set_variable @ (static_FVF @ (the_fml @ (produc1250175341on_fml @ (^[Z0:char > option_trm]:(produc1615133358on_fml @ (^[Z1:char > option_trm]:(produc1420172399on_fml @ (^[Z2:char > option_fml, Z3:char > option_game]:(Z2)))))) @ sigma @ p))) @ va)!=(bot_bot_set_variable))=>((none_fml)=(uSubst516392804stappf @ sigma @ va @ (pred @ p @ theta))))))=>((produc1250175341on_fml @ (^[Z0:char > option_trm]:(produc1615133358on_fml @ (^[Z1:char > option_trm]:(produc1420172399on_fml @ (^[Z2:char > option_fml, Z3:char > option_game]:(Z2)))))) @ sigma @ p)=(none_fml))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_3__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Ausubstappf_A_092_060sigma_062_AV_A_IPred_Ap_A_092_060theta_062_J_A_092_060Longrightarrow_062_ASPreds_A_092_060sigma_062_Ap_A_061_Aundeff_092_060close_062])])).
% 0.40/0.41 thf(c_0_5, negated_conjecture, ~((((uSubst516392804stappf @ sigma @ va @ (pred @ p @ theta))!=(none_fml))|((produc1250175341on_fml @ (^[Z0:char > option_trm]:(produc1615133358on_fml @ (^[Z1:char > option_trm]:(produc1420172399on_fml @ (^[Z2:char > option_fml, Z3:char > option_game]:(Z2)))))) @ sigma @ p)=(none_fml)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_3])])).
% 0.40/0.41 thf(c_0_6, plain, ~((((inf_inf_set_variable @ (static_FVF @ (the_fml @ (produc1250175341on_fml @ (^[Z0:char > option_trm]:(produc1615133358on_fml @ (^[Z1:char > option_trm]:(produc1420172399on_fml @ (^[Z2:char > option_fml, Z3:char > option_game]:(Z2)))))) @ sigma @ p))) @ va)=(bot_bot_set_variable))=>((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ bot_bot_set_variable @ (the_fml @ (produc1250175341on_fml @ (^[Z0:char > option_trm]:(produc1615133358on_fml @ (^[Z1:char > option_trm]:(produc1420172399on_fml @ (^[Z2:char > option_fml, Z3:char > option_game]:(Z2)))))) @ sigma @ p)))=(none_fml)))), inference(fof_simplification,[status(thm)],[fact_2__092_060open_062_Iif_AFVF_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_A_092_060inter_062_AV_A_061_A_123_125_Athen_Ausubstappf_A_Idotsubstt_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_123_125_A_Ithe_A_ISPreds_A_092_060sigma_062_Ap_J_J_Aelse_Aundeff_J_A_092_060noteq_062_Aundeff_092_060close_062])).
% 0.40/0.41 thf(c_0_7, plain, ((((inf_inf_set_variable @ (static_FVF @ (the_fml @ (produc1250175341on_fml @ (^[Z0:char > option_trm]:(produc1615133358on_fml @ (^[Z1:char > option_trm]:(produc1420172399on_fml @ (^[Z2:char > option_fml, Z3:char > option_game]:(Z2)))))) @ sigma @ p))) @ va)!=(bot_bot_set_variable))|((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ bot_bot_set_variable @ (the_fml @ (produc1250175341on_fml @ (^[Z0:char > option_trm]:(produc1615133358on_fml @ (^[Z1:char > option_trm]:(produc1420172399on_fml @ (^[Z2:char > option_fml, Z3:char > option_game]:(Z2)))))) @ sigma @ p)))=(uSubst516392804stappf @ sigma @ va @ (pred @ p @ theta)))|((produc1250175341on_fml @ (^[Z0:char > option_trm]:(produc1615133358on_fml @ (^[Z1:char > option_trm]:(produc1420172399on_fml @ (^[Z2:char > option_fml, Z3:char > option_game]:(Z2)))))) @ sigma @ p)=(none_fml)))&(((inf_inf_set_variable @ (static_FVF @ (the_fml @ (produc1250175341on_fml @ (^[Z0:char > option_trm]:(produc1615133358on_fml @ (^[Z1:char > option_trm]:(produc1420172399on_fml @ (^[Z2:char > option_fml, Z3:char > option_game]:(Z2)))))) @ sigma @ p))) @ va)=(bot_bot_set_variable))|((none_fml)=(uSubst516392804stappf @ sigma @ va @ (pred @ p @ theta)))|((produc1250175341on_fml @ (^[Z0:char > option_trm]:(produc1615133358on_fml @ (^[Z1:char > option_trm]:(produc1420172399on_fml @ (^[Z2:char > option_fml, Z3:char > option_game]:(Z2)))))) @ sigma @ p)=(none_fml)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])).
% 0.40/0.41 thf(c_0_8, plain, ![X2713:char > option_trm]:(((esk134_0 @ X2713)=(produc1615133358on_fml @ esk133_0))), introduced(definition)).
% 0.40/0.41 thf(c_0_9, plain, ![X2712:char > option_trm]:(((esk133_0 @ X2712)=(produc1420172399on_fml @ esk132_0))), introduced(definition)).
% 0.40/0.41 thf(c_0_10, plain, ![X2711:char > option_game, X2710:char > option_fml]:(((esk132_0 @ X2710 @ X2711)=(X2710))), introduced(definition)).
% 0.40/0.41 thf(c_0_11, negated_conjecture, (((uSubst516392804stappf @ sigma @ va @ (pred @ p @ theta))=(none_fml))&((produc1250175341on_fml @ (^[Z0:char > option_trm]:(produc1615133358on_fml @ (^[Z1:char > option_trm]:(produc1420172399on_fml @ (^[Z2:char > option_fml, Z3:char > option_game]:(Z2)))))) @ sigma @ p)!=(none_fml))), inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])).
% 0.40/0.41 thf(c_0_12, plain, (((inf_inf_set_variable @ (static_FVF @ (the_fml @ (produc1250175341on_fml @ (^[Z0:char > option_trm]:(produc1615133358on_fml @ (^[Z1:char > option_trm]:(produc1420172399on_fml @ (^[Z2:char > option_fml, Z3:char > option_game]:(Z2)))))) @ sigma @ p))) @ va)=(bot_bot_set_variable))&((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ bot_bot_set_variable @ (the_fml @ (produc1250175341on_fml @ (^[Z0:char > option_trm]:(produc1615133358on_fml @ (^[Z1:char > option_trm]:(produc1420172399on_fml @ (^[Z2:char > option_fml, Z3:char > option_game]:(Z2)))))) @ sigma @ p)))!=(none_fml))), inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])).
% 0.40/0.41 thf(c_0_13, plain, (((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ bot_bot_set_variable @ (the_fml @ (produc1250175341on_fml @ esk134_0 @ sigma @ p)))=(uSubst516392804stappf @ sigma @ va @ (pred @ p @ theta)))|((produc1250175341on_fml @ esk134_0 @ sigma @ p)=(none_fml))|((inf_inf_set_variable @ (static_FVF @ (the_fml @ (produc1250175341on_fml @ esk134_0 @ sigma @ p))) @ va)!=(bot_bot_set_variable))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[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_7]), c_0_8]), c_0_9]), c_0_10]), c_0_8]), c_0_9]), c_0_10]), c_0_8]), c_0_9]), c_0_10])).
% 0.40/0.41 thf(c_0_14, negated_conjecture, ((uSubst516392804stappf @ sigma @ va @ (pred @ p @ theta))=(none_fml)), inference(split_conjunct,[status(thm)],[c_0_11])).
% 0.40/0.41 thf(c_0_15, plain, ((inf_inf_set_variable @ (static_FVF @ (the_fml @ (produc1250175341on_fml @ esk134_0 @ sigma @ p))) @ va)=(bot_bot_set_variable)), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_12]), c_0_8]), c_0_9]), c_0_10])).
% 0.40/0.41 thf(c_0_16, plain, ((uSubst516392804stappf @ (uSubst1408967625substt @ (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ bot_bot_set_variable @ (the_fml @ (produc1250175341on_fml @ esk134_0 @ sigma @ p)))!=(none_fml)), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_12]), c_0_8]), c_0_9]), c_0_10])).
% 0.40/0.41 thf(c_0_17, negated_conjecture, ((produc1250175341on_fml @ esk134_0 @ sigma @ p)!=(none_fml)), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_11]), c_0_8]), c_0_9]), c_0_10])).
% 0.40/0.41 thf(c_0_18, plain, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14]), c_0_15])]), c_0_16]), c_0_17]), ['proof']).
% 0.40/0.41 % SZS output end CNFRefutation
% 0.40/0.41 % Parsed axioms : 438
% 0.40/0.41 % Removed by relevancy pruning/SinE : 0
% 0.40/0.41 % Initial clauses : 955
% 0.40/0.41 % Removed in clause preprocessing : 239
% 0.40/0.41 % Initial clauses in saturation : 716
% 0.40/0.41 % Processed clauses : 85
% 0.40/0.41 % ...of these trivial : 3
% 0.40/0.41 % ...subsumed : 18
% 0.40/0.41 % ...remaining for further processing : 63
% 0.40/0.41 % Other redundant clauses eliminated : 17
% 0.40/0.41 % Clauses deleted for lack of memory : 0
% 0.40/0.41 % Backward-subsumed : 0
% 0.40/0.41 % Backward-rewritten : 1
% 0.40/0.41 % Generated clauses : 17
% 0.40/0.41 % ...of the previous two non-redundant : 18
% 0.40/0.41 % ...aggressively subsumed : 0
% 0.40/0.41 % Contextual simplify-reflections : 0
% 0.40/0.41 % Paramodulations : 0
% 0.40/0.41 % Factorizations : 0
% 0.40/0.41 % NegExts : 0
% 0.40/0.41 % Equation resolutions : 17
% 0.40/0.41 % Disequality decompositions : 0
% 0.40/0.41 % Total rewrite steps : 9
% 0.40/0.41 % ...of those cached : 6
% 0.40/0.41 % Propositional unsat checks : 0
% 0.40/0.41 % Propositional check models : 0
% 0.40/0.41 % Propositional check unsatisfiable : 0
% 0.40/0.41 % Propositional clauses : 0
% 0.40/0.41 % Propositional clauses after purity: 0
% 0.40/0.41 % Propositional unsat core size : 0
% 0.40/0.41 % Propositional preprocessing time : 0.000
% 0.40/0.41 % Propositional encoding time : 0.000
% 0.40/0.41 % Propositional solver time : 0.000
% 0.40/0.41 % Success case prop preproc time : 0.000
% 0.40/0.41 % Success case prop encoding time : 0.000
% 0.40/0.41 % Success case prop solver time : 0.000
% 0.40/0.41 % Current number of processed clauses : 45
% 0.40/0.41 % Positive orientable unit clauses : 23
% 0.40/0.41 % Positive unorientable unit clauses: 1
% 0.40/0.41 % Negative unit clauses : 18
% 0.40/0.41 % Non-unit-clauses : 3
% 0.40/0.41 % Current number of unprocessed clauses: 649
% 0.40/0.41 % ...number of literals in the above : 1549
% 0.40/0.41 % Current number of archived formulas : 0
% 0.40/0.41 % Current number of archived clauses : 1
% 0.40/0.41 % Clause-clause subsumption calls (NU) : 2
% 0.40/0.41 % Rec. Clause-clause subsumption calls : 2
% 0.40/0.41 % Non-unit clause-clause subsumptions : 1
% 0.40/0.41 % Unit Clause-clause subsumption calls : 40
% 0.40/0.41 % Rewrite failures with RHS unbound : 0
% 0.40/0.41 % BW rewrite match attempts : 2
% 0.40/0.41 % BW rewrite match successes : 1
% 0.40/0.41 % Condensation attempts : 85
% 0.40/0.41 % Condensation successes : 0
% 0.40/0.41 % Termbank termtop insertions : 64591
% 0.40/0.41 % Search garbage collected termcells : 15985
% 0.40/0.41
% 0.40/0.41 % -------------------------------------------------
% 0.40/0.41 % User time : 0.064 s
% 0.40/0.41 % System time : 0.018 s
% 0.40/0.41 % Total time : 0.082 s
% 0.40/0.41 % Maximum resident set size: 8008 pages
% 0.40/0.41
% 0.40/0.41 % -------------------------------------------------
% 0.40/0.41 % User time : 0.108 s
% 0.40/0.41 % System time : 0.046 s
% 0.40/0.41 % Total time : 0.154 s
% 0.40/0.41 % Maximum resident set size: 5888 pages
% 0.40/0.41 % E exiting
%------------------------------------------------------------------------------