0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.17/0.17 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.feofhVJCQI true 0.17/0.38 % Computer : n003.cluster.edu 0.17/0.38 % Model : x86_64 x86_64 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.17/0.38 % Memory : 8042.1875MB 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.17/0.38 % CPULimit : 1200 0.17/0.38 % WCLimit : 120 0.17/0.38 % DateTime : Tue Jul 13 13:42:54 EDT 2021 0.17/0.38 % CPUTime : 0.17/0.38 % Running portfolio for 120 s 0.17/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.17/0.38 % Number of cores: 8 0.17/0.39 % Python version: Python 3.6.8 0.17/0.39 % Running in HO mode 0.58/0.70 % Total configuration time : 828 0.58/0.70 % Estimated wc time : 983 0.58/0.70 % Estimated cpu time (8 cpus) : 122.875 0.59/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 47s 0.59/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 47s 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 47s 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 18s 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 53s 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 41s 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.59/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 35s 0.60/0.85 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 53s 78.34/10.56 % Solved by lams/40_c.s.sh. 78.34/10.56 % running E: timeout 32 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.feofhVJCQI/e_inputf0bf05 --cpu-limit=30 --auto-schedule -s -p 78.34/10.56 % done 485 iterations in 9.782s 78.34/10.56 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 78.34/10.56 % SZS output start Refutation 78.34/10.56 thf(set_variable_type, type, set_variable: $tType). 78.34/10.56 thf(fml_type, type, fml: $tType). 78.34/10.56 thf(option_fml_type, type, option_fml: $tType). 78.34/10.56 thf(produc1418842292n_game_type, type, produc1418842292n_game: $tType). 78.34/10.56 thf(char_type, type, char: $tType). 78.34/10.56 thf(trm_type, type, trm: $tType). 78.34/10.56 thf(option_trm_type, type, option_trm: $tType). 78.34/10.56 thf(produc62062515n_game_type, type, produc62062515n_game: $tType). 78.34/10.56 thf(produc799602994n_game_type, type, produc799602994n_game: $tType). 78.34/10.56 thf(p_type, type, p: char). 78.34/10.56 thf(the_fml_type, type, the_fml: option_fml > fml). 78.34/10.56 thf(static_FVF_type, type, static_FVF: fml > set_variable). 78.34/10.56 thf(uSubst516392804stappf_type, type, uSubst516392804stappf: produc1418842292n_game > 78.34/10.56 set_variable > 78.34/10.56 fml > option_fml). 78.34/10.56 thf('#l_lift50954_type', type, '#l_lift50954': (char > option_trm) > 78.34/10.56 produc62062515n_game > char > option_fml). 78.34/10.56 thf('#l_lift51009_type', type, '#l_lift51009': trm > fml > option_fml). 78.34/10.56 thf(theta_type, type, theta: trm). 78.34/10.56 thf(inf_inf_set_variable_type, type, inf_inf_set_variable: set_variable > 78.34/10.56 set_variable > set_variable). 78.34/10.56 thf(the_trm_type, type, the_trm: option_trm > trm). 78.34/10.56 thf(zip_tseitin_1_type, type, zip_tseitin_1: $o). 78.34/10.56 thf(option_game_type, type, option_game: $tType). 78.34/10.56 thf('#l_lift50951_type', type, '#l_lift50951': fml > option_fml). 78.34/10.56 thf(case_o209804997ml_fml_type, type, case_o209804997ml_fml: option_fml > 78.34/10.56 (fml > option_fml) > 78.34/10.56 option_fml > option_fml). 78.34/10.56 thf('#l_lift50953_type', type, '#l_lift50953': (char > option_trm) > 78.34/10.56 produc799602994n_game > char > option_fml). 78.34/10.56 thf(sigma_type, type, sigma: produc1418842292n_game). 78.34/10.56 thf(va_type, type, va: set_variable). 78.34/10.56 thf(bot_bot_set_variable_type, type, bot_bot_set_variable: set_variable). 78.34/10.56 thf(produc1250175341on_fml_type, type, produc1250175341on_fml: ((char > option_trm) > 78.34/10.56 produc62062515n_game > 78.34/10.56 char > option_fml) > 78.34/10.56 produc1418842292n_game > 78.34/10.56 char > option_fml). 78.34/10.56 thf(if_option_fml_type, type, if_option_fml: $o > option_fml > option_fml > option_fml). 78.34/10.56 thf(produc1615133358on_fml_type, type, produc1615133358on_fml: ((char > option_trm) > 78.34/10.56 produc799602994n_game > 78.34/10.56 char > option_fml) > 78.34/10.56 produc62062515n_game > 78.34/10.56 char > option_fml). 78.34/10.56 thf(produc1420172399on_fml_type, type, produc1420172399on_fml: ((char > option_fml) > 78.34/10.56 (char > option_game) > 78.34/10.56 char > option_fml) > 78.34/10.56 produc799602994n_game > 78.34/10.56 char > option_fml). 78.34/10.56 thf(some_fml_type, type, some_fml: fml > option_fml). 78.34/10.56 thf('#l_lift50979_type', type, '#l_lift50979': trm > fml > option_fml). 78.34/10.56 thf(none_trm_type, type, none_trm: option_trm). 78.34/10.56 thf('#l_lift50980_type', type, '#l_lift50980': trm > option_fml). 78.34/10.56 thf(pred_type, type, pred: char > trm > fml). 78.34/10.56 thf(zip_tseitin_0_type, type, zip_tseitin_0: $o). 78.34/10.56 thf(uSubst516392818stappt_type, type, uSubst516392818stappt: produc1418842292n_game > 78.34/10.56 set_variable > 78.34/10.56 trm > option_trm). 78.34/10.56 thf(case_o325794063ml_trm_type, type, case_o325794063ml_trm: option_fml > 78.34/10.56 (trm > option_fml) > 78.34/10.56 option_trm > option_fml). 78.34/10.56 thf(none_fml_type, type, none_fml: option_fml). 78.34/10.56 thf(uSubst1408967625substt_type, type, uSubst1408967625substt: trm > produc1418842292n_game). 78.34/10.56 thf('#l_lift50952_type', type, '#l_lift50952': (char > option_fml) > 78.34/10.56 (char > option_game) > char > option_fml). 78.34/10.56 thf(fact_8__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_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_092_060close_062, axiom, 78.34/10.56 (~( ( ( inf_inf_set_variable @ 78.34/10.56 ( static_FVF @ 78.34/10.56 ( the_fml @ 78.34/10.56 ( produc1250175341on_fml @ 78.34/10.56 ( ^[Uu:( char > option_trm )]: 78.34/10.56 ( produc1615133358on_fml @ 78.34/10.56 ( ^[Uv:( char > option_trm )]: 78.34/10.56 ( produc1420172399on_fml @ 78.34/10.56 ( ^[P:( char > option_fml ),Uw:( char > option_game )]: 78.34/10.56 ( P ) ) ) ) ) ) @ 78.34/10.56 sigma @ p ) ) ) @ 78.34/10.56 va ) != 78.34/10.56 ( bot_bot_set_variable ) ) => 78.34/10.56 ( ( none_fml ) = 78.34/10.56 ( uSubst516392804stappf @ 78.34/10.56 ( uSubst1408967625substt @ 78.34/10.56 ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ 78.34/10.56 bot_bot_set_variable @ 78.34/10.56 ( the_fml @ 78.34/10.56 ( produc1250175341on_fml @ 78.34/10.56 ( ^[Uu:( char > option_trm )]: 78.34/10.56 ( produc1615133358on_fml @ 78.34/10.56 ( ^[Uv:( char > option_trm )]: 78.34/10.56 ( produc1420172399on_fml @ 78.34/10.56 ( ^[P:( char > option_fml ),Uw:( char > option_game )]: 78.34/10.56 ( P ) ) ) ) ) ) @ 78.34/10.56 sigma @ p ) ) ) ) ))). 78.34/10.56 thf(zip_derived_cl206, plain, 78.34/10.56 (((inf_inf_set_variable @ 78.34/10.56 (static_FVF @ 78.34/10.56 (the_fml @ 78.34/10.56 (produc1250175341on_fml @ 78.34/10.56 (^[Y0 : char > option_trm]: 78.34/10.56 (produc1615133358on_fml @ 78.34/10.56 (^[Y1 : char > option_trm]: 78.34/10.56 (produc1420172399on_fml @ 78.34/10.56 (^[Y2 : char > option_fml,Y3 : char > option_game]: (Y2)))))) @ 78.34/10.56 sigma @ p))) @ 78.34/10.56 va) != (bot_bot_set_variable))), 78.34/10.56 inference('cnf', [status(esa)], 78.34/10.56 [fact_8__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_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_092_060close_062])). 78.34/10.56 thf(fact_10__092_060open_062_Icase_ASPreds_A_092_060sigma_062_Ap_Aof_ANone_A_092_060Rightarrow_062_AAfml_A_IPred_Ap_A_Ithe_A_Iusubstappt_A_092_060sigma_062_AV_A_092_060theta_062_J_J_J_A_124_ASome_Af_A_092_060Rightarrow_062_Aif_AFVF_Af_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_Af_Aelse_Aundeff_J_A_092_060noteq_062_A_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_092_060close_062, axiom, 78.34/10.56 (~( ( ( ( inf_inf_set_variable @ 78.34/10.56 ( static_FVF @ 78.34/10.56 ( the_fml @ 78.34/10.56 ( produc1250175341on_fml @ 78.34/10.56 ( ^[Uu:( char > option_trm )]: 78.34/10.56 ( produc1615133358on_fml @ 78.34/10.56 ( ^[Uv:( char > option_trm )]: 78.34/10.56 ( produc1420172399on_fml @ 78.34/10.56 ( ^[P:( char > option_fml ), 78.34/10.56 Uw:( char > option_game )]: 78.34/10.56 ( P ) ) ) ) ) ) @ 78.34/10.56 sigma @ p ) ) ) @ 78.34/10.56 va ) = 78.34/10.56 ( bot_bot_set_variable ) ) => 78.34/10.56 ( ( case_o209804997ml_fml @ 78.34/10.56 ( some_fml @ 78.34/10.56 ( pred @ 78.34/10.56 p @ 78.34/10.56 ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) ) @ 78.34/10.56 ( ^[F2:fml]: 78.34/10.56 ( if_option_fml @ 78.34/10.56 ( ( inf_inf_set_variable @ ( static_FVF @ F2 ) @ va ) = 78.34/10.56 ( bot_bot_set_variable ) ) @ 78.34/10.56 ( uSubst516392804stappf @ 78.34/10.56 ( uSubst1408967625substt @ 78.34/10.56 ( the_trm @ 78.34/10.56 ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ 78.34/10.56 bot_bot_set_variable @ F2 ) @ 78.34/10.56 none_fml ) ) @ 78.34/10.56 ( produc1250175341on_fml @ 78.34/10.56 ( ^[Uu:( char > option_trm )]: 78.34/10.56 ( produc1615133358on_fml @ 78.34/10.56 ( ^[Uv:( char > option_trm )]: 78.34/10.56 ( produc1420172399on_fml @ 78.34/10.56 ( ^[P:( char > option_fml ),Uw:( char > option_game )]: 78.34/10.56 ( P ) ) ) ) ) ) @ 78.34/10.56 sigma @ p ) ) = 78.34/10.56 ( uSubst516392804stappf @ 78.34/10.56 ( uSubst1408967625substt @ 78.34/10.56 ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ 78.34/10.56 bot_bot_set_variable @ 78.34/10.56 ( the_fml @ 78.34/10.56 ( produc1250175341on_fml @ 78.34/10.56 ( ^[Uu:( char > option_trm )]: 78.34/10.56 ( produc1615133358on_fml @ 78.34/10.56 ( ^[Uv:( char > option_trm )]: 78.34/10.56 ( produc1420172399on_fml @ 78.34/10.56 ( ^[P:( char > option_fml ),Uw:( char > option_game )]: 78.34/10.56 ( P ) ) ) ) ) ) @ 78.34/10.56 sigma @ p ) ) ) ) ) & 78.34/10.56 ( ( ( inf_inf_set_variable @ 78.34/10.56 ( static_FVF @ 78.34/10.56 ( the_fml @ 78.34/10.56 ( produc1250175341on_fml @ 78.34/10.56 ( ^[Uu:( char > option_trm )]: 78.34/10.56 ( produc1615133358on_fml @ 78.34/10.56 ( ^[Uv:( char > option_trm )]: 78.34/10.56 ( produc1420172399on_fml @ 78.34/10.56 ( ^[P:( char > option_fml ), 78.34/10.56 Uw:( char > option_game )]: 78.34/10.56 ( P ) ) ) ) ) ) @ 78.34/10.56 sigma @ p ) ) ) @ 78.34/10.56 va ) != 78.34/10.56 ( bot_bot_set_variable ) ) => 78.34/10.56 ( ( case_o209804997ml_fml @ 78.34/10.56 ( some_fml @ 78.34/10.56 ( pred @ 78.34/10.56 p @ 78.34/10.56 ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) ) @ 78.34/10.56 ( ^[F2:fml]: 78.34/10.56 ( if_option_fml @ 78.34/10.56 ( ( inf_inf_set_variable @ ( static_FVF @ F2 ) @ va ) = 78.34/10.56 ( bot_bot_set_variable ) ) @ 78.34/10.56 ( uSubst516392804stappf @ 78.34/10.56 ( uSubst1408967625substt @ 78.34/10.56 ( the_trm @ 78.34/10.56 ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ 78.34/10.56 bot_bot_set_variable @ F2 ) @ 78.34/10.56 none_fml ) ) @ 78.34/10.56 ( produc1250175341on_fml @ 78.34/10.56 ( ^[Uu:( char > option_trm )]: 78.34/10.56 ( produc1615133358on_fml @ 78.34/10.56 ( ^[Uv:( char > option_trm )]: 78.34/10.56 ( produc1420172399on_fml @ 78.34/10.56 ( ^[P:( char > option_fml ),Uw:( char > option_game )]: 78.34/10.56 ( P ) ) ) ) ) ) @ 78.34/10.56 sigma @ p ) ) = 78.34/10.56 ( none_fml ) ) ) ))). 78.34/10.56 thf(zf_stmt_0, axiom, 78.34/10.56 (( ( ( inf_inf_set_variable @ 78.34/10.56 ( static_FVF @ 78.34/10.56 ( the_fml @ 78.34/10.56 ( produc1250175341on_fml @ 78.34/10.56 ( ^[Uu:( char > option_trm )]: 78.34/10.56 ( produc1615133358on_fml @ 78.34/10.56 ( ^[Uv:( char > option_trm )]: 78.34/10.56 ( produc1420172399on_fml @ 78.34/10.56 ( ^[P:( char > option_fml ),Uw:( char > option_game )]: 78.34/10.56 ( P ) ) ) ) ) ) @ 78.34/10.56 sigma @ p ) ) ) @ 78.34/10.56 va ) = 78.34/10.56 ( bot_bot_set_variable ) ) => 78.34/10.56 ( ( case_o209804997ml_fml @ 78.34/10.56 ( some_fml @ 78.34/10.56 ( pred @ 78.34/10.56 p @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) ) @ 78.34/10.56 ( ^[F2:fml]: 78.34/10.56 ( if_option_fml @ 78.34/10.56 ( ( inf_inf_set_variable @ ( static_FVF @ F2 ) @ va ) = 78.34/10.56 ( bot_bot_set_variable ) ) @ 78.34/10.56 ( uSubst516392804stappf @ 78.34/10.56 ( uSubst1408967625substt @ 78.34/10.56 ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ 78.34/10.56 bot_bot_set_variable @ F2 ) @ 78.34/10.56 none_fml ) ) @ 78.34/10.56 ( produc1250175341on_fml @ 78.34/10.56 ( ^[Uu:( char > option_trm )]: 78.34/10.56 ( produc1615133358on_fml @ 78.34/10.56 ( ^[Uv:( char > option_trm )]: 78.34/10.56 ( produc1420172399on_fml @ 78.34/10.56 ( ^[P:( char > option_fml ),Uw:( char > option_game )]: 78.34/10.56 ( P ) ) ) ) ) ) @ 78.34/10.56 sigma @ p ) ) = 78.34/10.56 ( uSubst516392804stappf @ 78.34/10.56 ( uSubst1408967625substt @ 78.34/10.56 ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ 78.34/10.56 bot_bot_set_variable @ 78.34/10.56 ( the_fml @ 78.34/10.56 ( produc1250175341on_fml @ 78.34/10.56 ( ^[Uu:( char > option_trm )]: 78.34/10.56 ( produc1615133358on_fml @ 78.34/10.56 ( ^[Uv:( char > option_trm )]: 78.34/10.56 ( produc1420172399on_fml @ 78.34/10.56 ( ^[P:( char > option_fml ),Uw:( char > option_game )]: 78.34/10.56 ( P ) ) ) ) ) ) @ 78.34/10.56 sigma @ p ) ) ) ) ) => 78.34/10.56 ( zip_tseitin_0 ))). 78.34/10.56 thf(zip_derived_cl34, plain, 78.34/10.56 (( (zip_tseitin_0) 78.34/10.56 | ((case_o209804997ml_fml @ 78.34/10.56 (some_fml @ 78.34/10.56 (pred @ p @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta)))) @ 78.34/10.56 (^[Y0 : fml]: 78.34/10.56 (if_option_fml @ 78.34/10.56 (((inf_inf_set_variable @ (static_FVF @ Y0) @ va) = 78.34/10.56 (bot_bot_set_variable))) @ 78.34/10.56 (uSubst516392804stappf @ 78.34/10.56 (uSubst1408967625substt @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ 78.34/10.56 bot_bot_set_variable @ Y0) @ 78.34/10.56 none_fml)) @ 78.34/10.56 (produc1250175341on_fml @ 78.34/10.56 (^[Y0 : char > option_trm]: 78.34/10.56 (produc1615133358on_fml @ 78.34/10.56 (^[Y1 : char > option_trm]: 78.34/10.56 (produc1420172399on_fml @ 78.34/10.56 (^[Y2 : char > option_fml,Y3 : char > option_game]: (Y2)))))) @ 78.34/10.56 sigma @ p)) 78.34/10.56 != (uSubst516392804stappf @ 78.34/10.56 (uSubst1408967625substt @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ 78.34/10.56 bot_bot_set_variable @ 78.34/10.56 (the_fml @ 78.34/10.56 (produc1250175341on_fml @ 78.34/10.56 (^[Y0 : char > option_trm]: 78.34/10.56 (produc1615133358on_fml @ 78.34/10.56 (^[Y1 : char > option_trm]: 78.34/10.56 (produc1420172399on_fml @ 78.34/10.56 (^[Y2 : char > option_fml,Y3 : char > option_game]: 78.34/10.56 (Y2)))))) @ 78.34/10.56 sigma @ p)))))), 78.34/10.56 inference('cnf', [status(esa)], [zf_stmt_0])). 78.34/10.56 thf(zip_derived_cl7858, plain, 78.34/10.56 (![X8 : char > option_trm, X9 : produc62062515n_game, X10 : char]: 78.34/10.56 (('#l_lift50954' @ X8 @ X9 @ X10) 78.34/10.56 = (produc1615133358on_fml @ '#l_lift50953' @ X9 @ X10))), 78.34/10.56 define([status(thm)])). 78.34/10.56 thf(zip_derived_cl34, plain, 78.34/10.56 (( (zip_tseitin_0) 78.34/10.56 | ((case_o209804997ml_fml @ 78.34/10.56 (some_fml @ 78.34/10.56 (pred @ p @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta)))) @ 78.34/10.56 (^[Y0 : fml]: 78.34/10.56 (if_option_fml @ 78.34/10.56 (((inf_inf_set_variable @ (static_FVF @ Y0) @ va) = 78.34/10.56 (bot_bot_set_variable))) @ 78.34/10.56 (uSubst516392804stappf @ 78.34/10.56 (uSubst1408967625substt @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ 78.34/10.56 bot_bot_set_variable @ Y0) @ 78.34/10.56 none_fml)) @ 78.34/10.56 (produc1250175341on_fml @ 78.34/10.56 (^[Y0 : char > option_trm]: 78.34/10.56 (produc1615133358on_fml @ 78.34/10.56 (^[Y1 : char > option_trm]: 78.34/10.56 (produc1420172399on_fml @ 78.34/10.56 (^[Y2 : char > option_fml,Y3 : char > option_game]: (Y2)))))) @ 78.34/10.56 sigma @ p)) 78.34/10.56 != (uSubst516392804stappf @ 78.34/10.56 (uSubst1408967625substt @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ 78.34/10.56 bot_bot_set_variable @ 78.34/10.56 (the_fml @ 78.34/10.56 (produc1250175341on_fml @ 78.34/10.56 (^[Y0 : char > option_trm]: 78.34/10.56 (produc1615133358on_fml @ 78.34/10.56 (^[Y1 : char > option_trm]: 78.34/10.56 (produc1420172399on_fml @ 78.34/10.56 (^[Y2 : char > option_fml,Y3 : char > option_game]: 78.34/10.56 (Y2)))))) @ 78.34/10.56 sigma @ p)))))), 78.34/10.56 inference('cnf', [status(esa)], [zf_stmt_0])). 78.34/10.56 thf(zip_derived_cl7857, plain, 78.34/10.56 (![X5 : char > option_trm, X6 : produc799602994n_game, X7 : char]: 78.34/10.56 (('#l_lift50953' @ X5 @ X6 @ X7) 78.34/10.56 = (produc1420172399on_fml @ '#l_lift50952' @ X6 @ X7))), 78.34/10.56 define([status(thm)])). 78.34/10.56 thf(zip_derived_cl34, plain, 78.34/10.56 (( (zip_tseitin_0) 78.34/10.56 | ((case_o209804997ml_fml @ 78.34/10.56 (some_fml @ 78.34/10.56 (pred @ p @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta)))) @ 78.34/10.56 (^[Y0 : fml]: 78.34/10.56 (if_option_fml @ 78.34/10.56 (((inf_inf_set_variable @ (static_FVF @ Y0) @ va) = 78.34/10.56 (bot_bot_set_variable))) @ 78.34/10.56 (uSubst516392804stappf @ 78.34/10.56 (uSubst1408967625substt @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ 78.34/10.56 bot_bot_set_variable @ Y0) @ 78.34/10.56 none_fml)) @ 78.34/10.56 (produc1250175341on_fml @ 78.34/10.56 (^[Y0 : char > option_trm]: 78.34/10.56 (produc1615133358on_fml @ 78.34/10.56 (^[Y1 : char > option_trm]: 78.34/10.56 (produc1420172399on_fml @ 78.34/10.56 (^[Y2 : char > option_fml,Y3 : char > option_game]: (Y2)))))) @ 78.34/10.56 sigma @ p)) 78.34/10.56 != (uSubst516392804stappf @ 78.34/10.56 (uSubst1408967625substt @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ 78.34/10.56 bot_bot_set_variable @ 78.34/10.56 (the_fml @ 78.34/10.56 (produc1250175341on_fml @ 78.34/10.56 (^[Y0 : char > option_trm]: 78.34/10.56 (produc1615133358on_fml @ 78.34/10.56 (^[Y1 : char > option_trm]: 78.34/10.56 (produc1420172399on_fml @ 78.34/10.56 (^[Y2 : char > option_fml,Y3 : char > option_game]: 78.34/10.56 (Y2)))))) @ 78.34/10.56 sigma @ p)))))), 78.34/10.56 inference('cnf', [status(esa)], [zf_stmt_0])). 78.34/10.56 thf(zip_derived_cl7856, plain, 78.34/10.56 (![X2 : char > option_fml, X3 : char > option_game, X4 : char]: 78.34/10.56 (('#l_lift50952' @ X2 @ X3 @ X4) = (X2 @ X4))), 78.34/10.56 define([status(thm)])). 78.34/10.56 thf(zip_derived_cl7892, plain, 78.34/10.56 (((inf_inf_set_variable @ 78.34/10.56 (static_FVF @ 78.34/10.56 (the_fml @ (produc1250175341on_fml @ '#l_lift50954' @ sigma @ p))) @ 78.34/10.56 va) != (bot_bot_set_variable))), 78.34/10.56 inference('lambda_lifting', [status(thm)], 78.34/10.56 [zip_derived_cl206, zip_derived_cl7858, zip_derived_cl7857, 78.34/10.56 zip_derived_cl7856])). 78.34/10.56 thf(conj_0, conjecture, 78.34/10.56 (( produc1250175341on_fml @ 78.34/10.56 ( ^[Uu:( char > option_trm )]: 78.34/10.56 ( produc1615133358on_fml @ 78.34/10.56 ( ^[Uv:( char > option_trm )]: 78.34/10.56 ( produc1420172399on_fml @ 78.34/10.56 ( ^[P:( char > option_fml ),Uw:( char > option_game )]: ( P ) ) ) ) ) ) @ 78.34/10.56 sigma @ p ) = 78.34/10.56 ( none_fml ))). 78.34/10.56 thf(zf_stmt_1, negated_conjecture, 78.34/10.56 (( produc1250175341on_fml @ 78.34/10.56 ( ^[Uu:( char > option_trm )]: 78.34/10.56 ( produc1615133358on_fml @ 78.34/10.56 ( ^[Uv:( char > option_trm )]: 78.34/10.56 ( produc1420172399on_fml @ 78.34/10.56 ( ^[P:( char > option_fml ),Uw:( char > option_game )]: ( P ) ) ) ) ) ) @ 78.34/10.56 sigma @ p ) != 78.34/10.56 ( none_fml )), 78.34/10.56 inference('cnf.neg', [status(esa)], [conj_0])). 78.34/10.56 thf(zip_derived_cl437, plain, 78.34/10.56 (((produc1250175341on_fml @ 78.34/10.56 (^[Y0 : char > option_trm]: 78.34/10.56 (produc1615133358on_fml @ 78.34/10.56 (^[Y1 : char > option_trm]: 78.34/10.56 (produc1420172399on_fml @ 78.34/10.56 (^[Y2 : char > option_fml,Y3 : char > option_game]: (Y2)))))) @ 78.34/10.56 sigma @ p) != (none_fml))), 78.34/10.56 inference('cnf', [status(esa)], [zf_stmt_1])). 78.34/10.56 thf(zip_derived_cl7858, plain, 78.34/10.56 (![X8 : char > option_trm, X9 : produc62062515n_game, X10 : char]: 78.34/10.56 (('#l_lift50954' @ X8 @ X9 @ X10) 78.34/10.56 = (produc1615133358on_fml @ '#l_lift50953' @ X9 @ X10))), 78.34/10.56 define([status(thm)])). 78.34/10.56 thf(zip_derived_cl7857, plain, 78.34/10.56 (![X5 : char > option_trm, X6 : produc799602994n_game, X7 : char]: 78.34/10.56 (('#l_lift50953' @ X5 @ X6 @ X7) 78.34/10.56 = (produc1420172399on_fml @ '#l_lift50952' @ X6 @ X7))), 78.34/10.56 define([status(thm)])). 78.34/10.56 thf(zip_derived_cl7856, plain, 78.34/10.56 (![X2 : char > option_fml, X3 : char > option_game, X4 : char]: 78.34/10.56 (('#l_lift50952' @ X2 @ X3 @ X4) = (X2 @ X4))), 78.34/10.56 define([status(thm)])). 78.34/10.56 thf(zip_derived_cl8049, plain, 78.34/10.56 (((produc1250175341on_fml @ '#l_lift50954' @ sigma @ p) != (none_fml))), 78.34/10.56 inference('lambda_lifting', [status(thm)], 78.34/10.56 [zip_derived_cl437, zip_derived_cl7858, zip_derived_cl7857, 78.34/10.56 zip_derived_cl7856])). 78.34/10.56 thf(fact_1_Pred_Oprems_I2_J, axiom, 78.34/10.56 (( uSubst516392804stappf @ sigma @ va @ ( pred @ p @ theta ) ) != 78.34/10.56 ( none_fml ))). 78.34/10.56 thf(zip_derived_cl166, plain, 78.34/10.56 (((uSubst516392804stappf @ sigma @ va @ (pred @ p @ theta)) != (none_fml))), 78.34/10.56 inference('cnf', [status(esa)], [fact_1_Pred_Oprems_I2_J])). 78.34/10.56 thf(fact_52_f2, axiom, 78.34/10.56 (![Z:option_fml,F:( trm > option_fml ),Za:option_trm]: 78.34/10.56 ( ( ( ( Za ) != ( none_trm ) ) => 78.34/10.56 ( ( case_o325794063ml_trm @ Z @ F @ Za ) = ( F @ ( the_trm @ Za ) ) ) ) & 78.34/10.56 ( ( ( Za ) = ( none_trm ) ) => 78.34/10.56 ( ( case_o325794063ml_trm @ Z @ F @ Za ) = ( Z ) ) ) ))). 78.34/10.56 thf(zip_derived_cl351, plain, 78.34/10.56 (![X0 : trm > option_fml, X1 : option_trm, X2 : option_fml]: 78.34/10.56 (((case_o325794063ml_trm @ X2 @ X0 @ X1) = (X0 @ (the_trm @ X1))) 78.34/10.56 | ((X1) = (none_trm)))), 78.34/10.56 inference('cnf', [status(esa)], [fact_52_f2])). 78.34/10.56 thf(fact_0_f7, axiom, 78.34/10.56 (![Z:option_fml,F:( fml > option_fml ),Za:option_fml]: 78.34/10.56 ( ( ( ( Za ) = ( none_fml ) ) => 78.34/10.56 ( ( case_o209804997ml_fml @ Z @ F @ Za ) = ( Z ) ) ) & 78.34/10.56 ( ( ( Za ) != ( none_fml ) ) => 78.34/10.56 ( ( case_o209804997ml_fml @ Z @ F @ Za ) = ( F @ ( the_fml @ Za ) ) ) ) ))). 78.34/10.56 thf(zip_derived_cl31, plain, 78.34/10.56 (![X0 : fml > option_fml, X1 : option_fml, X2 : option_fml]: 78.34/10.56 (((case_o209804997ml_fml @ X2 @ X0 @ X1) = (X0 @ (the_fml @ X1))) 78.34/10.56 | ((X1) = (none_fml)))), 78.34/10.56 inference('cnf', [status(esa)], [fact_0_f7])). 78.34/10.56 thf(fact_139_usubstappf__pred__conv, axiom, 78.34/10.56 (![Sigma:produc1418842292n_game,U:set_variable,P3:char,Theta:trm]: 78.34/10.56 ( ( ( uSubst516392804stappf @ Sigma @ U @ ( pred @ P3 @ Theta ) ) != 78.34/10.56 ( none_fml ) ) => 78.34/10.56 ( ( ( uSubst516392818stappt @ Sigma @ U @ Theta ) != ( none_trm ) ) & 78.34/10.56 ( ( ( produc1250175341on_fml @ 78.34/10.56 ( ^[Uu:( char > option_trm )]: 78.34/10.56 ( produc1615133358on_fml @ 78.34/10.56 ( ^[Uv:( char > option_trm )]: 78.34/10.56 ( produc1420172399on_fml @ 78.34/10.56 ( ^[P:( char > option_fml ),Uw:( char > option_game )]: 78.34/10.56 ( P ) ) ) ) ) ) @ 78.34/10.56 Sigma @ P3 ) = 78.34/10.56 ( none_fml ) ) | 78.34/10.56 ( ?[R3:fml]: 78.34/10.56 ( ( ( produc1250175341on_fml @ 78.34/10.56 ( ^[Uu:( char > option_trm )]: 78.34/10.56 ( produc1615133358on_fml @ 78.34/10.56 ( ^[Uv:( char > option_trm )]: 78.34/10.56 ( produc1420172399on_fml @ 78.34/10.56 ( ^[P:( char > option_fml ), 78.34/10.56 Uw:( char > option_game )]: 78.34/10.56 ( P ) ) ) ) ) ) @ 78.34/10.56 Sigma @ P3 ) = 78.34/10.56 ( some_fml @ R3 ) ) & 78.34/10.56 ( ( inf_inf_set_variable @ ( static_FVF @ R3 ) @ U ) = 78.34/10.56 ( bot_bot_set_variable ) ) ) ) ) ) ))). 78.34/10.56 thf(zip_derived_cl411, plain, 78.34/10.56 (![X0 : produc1418842292n_game, X1 : set_variable, X2 : trm, X3 : char]: 78.34/10.56 (((uSubst516392818stappt @ X0 @ X1 @ X2) != (none_trm)) 78.34/10.56 | ((uSubst516392804stappf @ X0 @ X1 @ (pred @ X3 @ X2)) = (none_fml)))), 78.34/10.56 inference('cnf', [status(esa)], [fact_139_usubstappf__pred__conv])). 78.34/10.56 thf(zf_stmt_2, axiom, 78.34/10.56 (( ( ( inf_inf_set_variable @ 78.34/10.56 ( static_FVF @ 78.34/10.56 ( the_fml @ 78.34/10.56 ( produc1250175341on_fml @ 78.34/10.56 ( ^[Uu:( char > option_trm )]: 78.34/10.56 ( produc1615133358on_fml @ 78.34/10.56 ( ^[Uv:( char > option_trm )]: 78.34/10.56 ( produc1420172399on_fml @ 78.34/10.56 ( ^[P:( char > option_fml ),Uw:( char > option_game )]: 78.34/10.56 ( P ) ) ) ) ) ) @ 78.34/10.56 sigma @ p ) ) ) @ 78.34/10.56 va ) != 78.34/10.56 ( bot_bot_set_variable ) ) => 78.34/10.56 ( ( case_o209804997ml_fml @ 78.34/10.56 ( some_fml @ 78.34/10.56 ( pred @ 78.34/10.56 p @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) ) @ 78.34/10.56 ( ^[F2:fml]: 78.34/10.56 ( if_option_fml @ 78.34/10.56 ( ( inf_inf_set_variable @ ( static_FVF @ F2 ) @ va ) = 78.34/10.56 ( bot_bot_set_variable ) ) @ 78.34/10.56 ( uSubst516392804stappf @ 78.34/10.56 ( uSubst1408967625substt @ 78.34/10.56 ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ 78.34/10.56 bot_bot_set_variable @ F2 ) @ 78.34/10.56 none_fml ) ) @ 78.34/10.56 ( produc1250175341on_fml @ 78.34/10.56 ( ^[Uu:( char > option_trm )]: 78.34/10.56 ( produc1615133358on_fml @ 78.34/10.56 ( ^[Uv:( char > option_trm )]: 78.34/10.56 ( produc1420172399on_fml @ 78.34/10.56 ( ^[P:( char > option_fml ),Uw:( char > option_game )]: 78.34/10.56 ( P ) ) ) ) ) ) @ 78.34/10.56 sigma @ p ) ) = 78.34/10.56 ( none_fml ) ) ) => 78.34/10.56 ( zip_tseitin_1 ))). 78.34/10.56 thf(zip_derived_cl36, plain, 78.34/10.56 (( (zip_tseitin_1) 78.34/10.56 | ((case_o209804997ml_fml @ 78.34/10.56 (some_fml @ 78.34/10.56 (pred @ p @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta)))) @ 78.34/10.56 (^[Y0 : fml]: 78.34/10.56 (if_option_fml @ 78.34/10.56 (((inf_inf_set_variable @ (static_FVF @ Y0) @ va) = 78.34/10.56 (bot_bot_set_variable))) @ 78.34/10.56 (uSubst516392804stappf @ 78.34/10.56 (uSubst1408967625substt @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ 78.34/10.56 bot_bot_set_variable @ Y0) @ 78.34/10.56 none_fml)) @ 78.34/10.56 (produc1250175341on_fml @ 78.34/10.56 (^[Y0 : char > option_trm]: 78.34/10.56 (produc1615133358on_fml @ 78.34/10.56 (^[Y1 : char > option_trm]: 78.34/10.56 (produc1420172399on_fml @ 78.34/10.56 (^[Y2 : char > option_fml,Y3 : char > option_game]: (Y2)))))) @ 78.34/10.56 sigma @ p)) 78.34/10.56 != (none_fml)))), 78.34/10.56 inference('cnf', [status(esa)], [zf_stmt_2])). 78.34/10.56 thf(zip_derived_cl34, plain, 78.34/10.56 (( (zip_tseitin_0) 78.34/10.56 | ((case_o209804997ml_fml @ 78.34/10.56 (some_fml @ 78.34/10.56 (pred @ p @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta)))) @ 78.34/10.56 (^[Y0 : fml]: 78.34/10.56 (if_option_fml @ 78.34/10.56 (((inf_inf_set_variable @ (static_FVF @ Y0) @ va) = 78.34/10.56 (bot_bot_set_variable))) @ 78.34/10.56 (uSubst516392804stappf @ 78.34/10.56 (uSubst1408967625substt @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ 78.34/10.56 bot_bot_set_variable @ Y0) @ 78.34/10.56 none_fml)) @ 78.34/10.56 (produc1250175341on_fml @ 78.34/10.56 (^[Y0 : char > option_trm]: 78.34/10.56 (produc1615133358on_fml @ 78.34/10.56 (^[Y1 : char > option_trm]: 78.34/10.56 (produc1420172399on_fml @ 78.34/10.56 (^[Y2 : char > option_fml,Y3 : char > option_game]: (Y2)))))) @ 78.34/10.56 sigma @ p)) 78.34/10.56 != (uSubst516392804stappf @ 78.34/10.56 (uSubst1408967625substt @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ 78.34/10.56 bot_bot_set_variable @ 78.34/10.56 (the_fml @ 78.34/10.56 (produc1250175341on_fml @ 78.34/10.56 (^[Y0 : char > option_trm]: 78.34/10.56 (produc1615133358on_fml @ 78.34/10.56 (^[Y1 : char > option_trm]: 78.34/10.56 (produc1420172399on_fml @ 78.34/10.56 (^[Y2 : char > option_fml,Y3 : char > option_game]: 78.34/10.56 (Y2)))))) @ 78.34/10.56 sigma @ p)))))), 78.34/10.56 inference('cnf', [status(esa)], [zf_stmt_0])). 78.34/10.56 thf(zip_derived_cl7855, plain, 78.34/10.56 (![X1 : fml]: 78.34/10.56 (('#l_lift50951' @ X1) 78.34/10.56 = (if_option_fml @ 78.34/10.56 (((inf_inf_set_variable @ (static_FVF @ X1) @ va) = 78.34/10.56 (bot_bot_set_variable))) @ 78.34/10.56 (uSubst516392804stappf @ 78.34/10.56 (uSubst1408967625substt @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ 78.34/10.56 bot_bot_set_variable @ X1) @ 78.34/10.56 none_fml))), 78.34/10.56 define([status(thm)])). 78.34/10.56 thf(zip_derived_cl7858, plain, 78.34/10.56 (![X8 : char > option_trm, X9 : produc62062515n_game, X10 : char]: 78.34/10.56 (('#l_lift50954' @ X8 @ X9 @ X10) 78.34/10.56 = (produc1615133358on_fml @ '#l_lift50953' @ X9 @ X10))), 78.34/10.56 define([status(thm)])). 78.34/10.56 thf(zip_derived_cl7857, plain, 78.34/10.56 (![X5 : char > option_trm, X6 : produc799602994n_game, X7 : char]: 78.34/10.56 (('#l_lift50953' @ X5 @ X6 @ X7) 78.34/10.56 = (produc1420172399on_fml @ '#l_lift50952' @ X6 @ X7))), 78.34/10.56 define([status(thm)])). 78.34/10.56 thf(zip_derived_cl7856, plain, 78.34/10.56 (![X2 : char > option_fml, X3 : char > option_game, X4 : char]: 78.34/10.56 (('#l_lift50952' @ X2 @ X3 @ X4) = (X2 @ X4))), 78.34/10.56 define([status(thm)])). 78.34/10.56 thf(zip_derived_cl7861, plain, 78.34/10.56 (( (zip_tseitin_1) 78.34/10.56 | ((case_o209804997ml_fml @ 78.34/10.56 (some_fml @ 78.34/10.56 (pred @ p @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta)))) @ 78.34/10.56 '#l_lift50951' @ 78.34/10.56 (produc1250175341on_fml @ '#l_lift50954' @ sigma @ p)) 78.34/10.56 != (none_fml)))), 78.34/10.56 inference('lambda_lifting', [status(thm)], 78.34/10.56 [zip_derived_cl36, zip_derived_cl7855, zip_derived_cl7858, 78.34/10.56 zip_derived_cl7857, zip_derived_cl7856])). 78.34/10.56 thf(help_If_2_1_If_001t__Option__Ooption_It__Syntax__Ofml_J_T, axiom, 78.34/10.56 (![X2:option_fml,Y2:option_fml]: 78.34/10.56 ( ( if_option_fml @ $false @ X2 @ Y2 ) = ( Y2 ) ))). 78.34/10.56 thf(zip_derived_cl219, plain, 78.34/10.56 (![X0 : option_fml, X1 : option_fml]: 78.34/10.56 ((if_option_fml @ ($false) @ X1 @ X0) = (X0))), 78.34/10.56 inference('cnf', [status(esa)], 78.34/10.56 [help_If_2_1_If_001t__Option__Ooption_It__Syntax__Ofml_J_T])). 78.34/10.56 thf(fact_85_inf__sup__aci_I1_J, axiom, 78.34/10.56 (![X:set_variable,Y:set_variable]: 78.34/10.56 ( ( inf_inf_set_variable @ X @ Y ) = ( inf_inf_set_variable @ Y @ X ) ))). 78.34/10.56 thf(zip_derived_cl421, plain, 78.34/10.56 (![X0 : set_variable, X1 : set_variable]: 78.34/10.56 ((inf_inf_set_variable @ X1 @ X0) = (inf_inf_set_variable @ X0 @ X1))), 78.34/10.56 inference('cnf', [status(esa)], [fact_85_inf__sup__aci_I1_J])). 78.34/10.56 thf(fact_34_f8, axiom, 78.34/10.56 (( case_o325794063ml_trm @ 78.34/10.56 none_fml @ 78.34/10.56 ( ^[T:trm]: 78.34/10.56 ( case_o209804997ml_fml @ 78.34/10.56 ( some_fml @ ( pred @ p @ T ) ) @ 78.34/10.56 ( ^[F2:fml]: 78.34/10.56 ( if_option_fml @ 78.34/10.56 ( ( inf_inf_set_variable @ ( static_FVF @ F2 ) @ va ) = 78.34/10.56 ( bot_bot_set_variable ) ) @ 78.34/10.56 ( uSubst516392804stappf @ 78.34/10.56 ( uSubst1408967625substt @ T ) @ bot_bot_set_variable @ F2 ) @ 78.34/10.56 none_fml ) ) @ 78.34/10.56 ( produc1250175341on_fml @ 78.34/10.56 ( ^[Uu:( char > option_trm )]: 78.34/10.56 ( produc1615133358on_fml @ 78.34/10.56 ( ^[Uv:( char > option_trm )]: 78.34/10.56 ( produc1420172399on_fml @ 78.34/10.56 ( ^[P:( char > option_fml ),Uw:( char > option_game )]: 78.34/10.56 ( P ) ) ) ) ) ) @ 78.34/10.56 sigma @ p ) ) ) @ 78.34/10.56 ( uSubst516392818stappt @ sigma @ va @ theta ) ) = 78.34/10.56 ( case_o209804997ml_fml @ 78.34/10.56 ( some_fml @ 78.34/10.56 ( pred @ 78.34/10.56 p @ ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) ) @ 78.34/10.56 ( ^[F2:fml]: 78.34/10.56 ( if_option_fml @ 78.34/10.56 ( ( inf_inf_set_variable @ ( static_FVF @ F2 ) @ va ) = 78.34/10.56 ( bot_bot_set_variable ) ) @ 78.34/10.56 ( uSubst516392804stappf @ 78.34/10.56 ( uSubst1408967625substt @ 78.34/10.56 ( the_trm @ ( uSubst516392818stappt @ sigma @ va @ theta ) ) ) @ 78.34/10.56 bot_bot_set_variable @ F2 ) @ 78.34/10.56 none_fml ) ) @ 78.34/10.56 ( produc1250175341on_fml @ 78.34/10.56 ( ^[Uu:( char > option_trm )]: 78.34/10.56 ( produc1615133358on_fml @ 78.34/10.56 ( ^[Uv:( char > option_trm )]: 78.34/10.56 ( produc1420172399on_fml @ 78.34/10.56 ( ^[P:( char > option_fml ),Uw:( char > option_game )]: ( P ) ) ) ) ) ) @ 78.34/10.56 sigma @ p ) ))). 78.34/10.56 thf(zip_derived_cl226, plain, 78.34/10.56 (((case_o325794063ml_trm @ none_fml @ 78.34/10.56 (^[Y0 : trm]: 78.34/10.56 (case_o209804997ml_fml @ (some_fml @ (pred @ p @ Y0)) @ 78.34/10.56 (^[Y1 : fml]: 78.34/10.56 (if_option_fml @ 78.34/10.56 (((inf_inf_set_variable @ (static_FVF @ Y1) @ va) = 78.34/10.56 (bot_bot_set_variable))) @ 78.34/10.56 (uSubst516392804stappf @ (uSubst1408967625substt @ Y0) @ 78.34/10.56 bot_bot_set_variable @ Y1) @ 78.34/10.56 none_fml)) @ 78.34/10.56 (produc1250175341on_fml @ 78.34/10.56 (^[Y1 : char > option_trm]: 78.34/10.56 (produc1615133358on_fml @ 78.34/10.56 (^[Y2 : char > option_trm]: 78.34/10.56 (produc1420172399on_fml @ 78.34/10.56 (^[Y3 : char > option_fml,Y4 : char > option_game]: (Y3)))))) @ 78.34/10.56 sigma @ p))) @ 78.34/10.56 (uSubst516392818stappt @ sigma @ va @ theta)) 78.34/10.56 = (case_o209804997ml_fml @ 78.34/10.56 (some_fml @ 78.34/10.56 (pred @ p @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta)))) @ 78.34/10.56 (^[Y0 : fml]: 78.34/10.56 (if_option_fml @ 78.34/10.56 (((inf_inf_set_variable @ (static_FVF @ Y0) @ va) = 78.34/10.56 (bot_bot_set_variable))) @ 78.34/10.56 (uSubst516392804stappf @ 78.34/10.56 (uSubst1408967625substt @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ 78.34/10.56 bot_bot_set_variable @ Y0) @ 78.34/10.56 none_fml)) @ 78.34/10.56 (produc1250175341on_fml @ 78.34/10.56 (^[Y0 : char > option_trm]: 78.34/10.56 (produc1615133358on_fml @ 78.34/10.56 (^[Y1 : char > option_trm]: 78.34/10.56 (produc1420172399on_fml @ 78.34/10.56 (^[Y2 : char > option_fml,Y3 : char > option_game]: (Y2)))))) @ 78.34/10.56 sigma @ p)))), 78.34/10.56 inference('cnf', [status(esa)], [fact_34_f8])). 78.34/10.56 thf(zip_derived_cl7858, plain, 78.34/10.56 (![X8 : char > option_trm, X9 : produc62062515n_game, X10 : char]: 78.34/10.56 (('#l_lift50954' @ X8 @ X9 @ X10) 78.34/10.56 = (produc1615133358on_fml @ '#l_lift50953' @ X9 @ X10))), 78.34/10.56 define([status(thm)])). 78.34/10.56 thf(zip_derived_cl7857, plain, 78.34/10.56 (![X5 : char > option_trm, X6 : produc799602994n_game, X7 : char]: 78.34/10.56 (('#l_lift50953' @ X5 @ X6 @ X7) 78.34/10.56 = (produc1420172399on_fml @ '#l_lift50952' @ X6 @ X7))), 78.34/10.56 define([status(thm)])). 78.34/10.56 thf(zip_derived_cl7856, plain, 78.34/10.56 (![X2 : char > option_fml, X3 : char > option_game, X4 : char]: 78.34/10.56 (('#l_lift50952' @ X2 @ X3 @ X4) = (X2 @ X4))), 78.34/10.56 define([status(thm)])). 78.34/10.56 thf(zip_derived_cl7855, plain, 78.34/10.56 (![X1 : fml]: 78.34/10.56 (('#l_lift50951' @ X1) 78.34/10.56 = (if_option_fml @ 78.34/10.56 (((inf_inf_set_variable @ (static_FVF @ X1) @ va) = 78.34/10.56 (bot_bot_set_variable))) @ 78.34/10.56 (uSubst516392804stappf @ 78.34/10.56 (uSubst1408967625substt @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ 78.34/10.56 bot_bot_set_variable @ X1) @ 78.34/10.56 none_fml))), 78.34/10.56 define([status(thm)])). 78.34/10.56 thf(zip_derived_cl7858, plain, 78.34/10.56 (![X8 : char > option_trm, X9 : produc62062515n_game, X10 : char]: 78.34/10.56 (('#l_lift50954' @ X8 @ X9 @ X10) 78.34/10.56 = (produc1615133358on_fml @ '#l_lift50953' @ X9 @ X10))), 78.34/10.56 define([status(thm)])). 78.34/10.56 thf(zip_derived_cl7857, plain, 78.34/10.56 (![X5 : char > option_trm, X6 : produc799602994n_game, X7 : char]: 78.34/10.56 (('#l_lift50953' @ X5 @ X6 @ X7) 78.34/10.56 = (produc1420172399on_fml @ '#l_lift50952' @ X6 @ X7))), 78.34/10.56 define([status(thm)])). 78.34/10.56 thf(zip_derived_cl7856, plain, 78.34/10.56 (![X2 : char > option_fml, X3 : char > option_game, X4 : char]: 78.34/10.56 (('#l_lift50952' @ X2 @ X3 @ X4) = (X2 @ X4))), 78.34/10.56 define([status(thm)])). 78.34/10.56 thf(zip_derived_cl226, plain, 78.34/10.56 (((case_o325794063ml_trm @ none_fml @ 78.34/10.56 (^[Y0 : trm]: 78.34/10.56 (case_o209804997ml_fml @ (some_fml @ (pred @ p @ Y0)) @ 78.34/10.56 (^[Y1 : fml]: 78.34/10.56 (if_option_fml @ 78.34/10.56 (((inf_inf_set_variable @ (static_FVF @ Y1) @ va) = 78.34/10.56 (bot_bot_set_variable))) @ 78.34/10.56 (uSubst516392804stappf @ (uSubst1408967625substt @ Y0) @ 78.34/10.56 bot_bot_set_variable @ Y1) @ 78.34/10.56 none_fml)) @ 78.34/10.56 (produc1250175341on_fml @ 78.34/10.56 (^[Y1 : char > option_trm]: 78.34/10.56 (produc1615133358on_fml @ 78.34/10.56 (^[Y2 : char > option_trm]: 78.34/10.56 (produc1420172399on_fml @ 78.34/10.56 (^[Y3 : char > option_fml,Y4 : char > option_game]: (Y3)))))) @ 78.34/10.56 sigma @ p))) @ 78.34/10.56 (uSubst516392818stappt @ sigma @ va @ theta)) 78.34/10.56 = (case_o209804997ml_fml @ 78.34/10.56 (some_fml @ 78.34/10.56 (pred @ p @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta)))) @ 78.34/10.56 (^[Y0 : fml]: 78.34/10.56 (if_option_fml @ 78.34/10.56 (((inf_inf_set_variable @ (static_FVF @ Y0) @ va) = 78.34/10.56 (bot_bot_set_variable))) @ 78.34/10.56 (uSubst516392804stappf @ 78.34/10.56 (uSubst1408967625substt @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ 78.34/10.56 bot_bot_set_variable @ Y0) @ 78.34/10.56 none_fml)) @ 78.34/10.56 (produc1250175341on_fml @ 78.34/10.56 (^[Y0 : char > option_trm]: 78.34/10.56 (produc1615133358on_fml @ 78.34/10.56 (^[Y1 : char > option_trm]: 78.34/10.56 (produc1420172399on_fml @ 78.34/10.56 (^[Y2 : char > option_fml,Y3 : char > option_game]: (Y2)))))) @ 78.34/10.56 sigma @ p)))), 78.34/10.56 inference('cnf', [status(esa)], [fact_34_f8])). 78.34/10.56 thf(zip_derived_cl7919, plain, 78.34/10.56 (![X3 : trm]: 78.34/10.56 (('#l_lift50980' @ X3) 78.34/10.56 = (case_o209804997ml_fml @ (some_fml @ (pred @ p @ X3)) @ 78.34/10.56 ('#l_lift50979' @ X3) @ 78.34/10.56 (produc1250175341on_fml @ '#l_lift50954' @ sigma @ p)))), 78.34/10.56 define([status(thm)])). 78.34/10.56 thf(zip_derived_cl226, plain, 78.34/10.56 (((case_o325794063ml_trm @ none_fml @ 78.34/10.56 (^[Y0 : trm]: 78.34/10.56 (case_o209804997ml_fml @ (some_fml @ (pred @ p @ Y0)) @ 78.34/10.56 (^[Y1 : fml]: 78.34/10.56 (if_option_fml @ 78.34/10.56 (((inf_inf_set_variable @ (static_FVF @ Y1) @ va) = 78.34/10.56 (bot_bot_set_variable))) @ 78.34/10.56 (uSubst516392804stappf @ (uSubst1408967625substt @ Y0) @ 78.34/10.56 bot_bot_set_variable @ Y1) @ 78.34/10.56 none_fml)) @ 78.34/10.56 (produc1250175341on_fml @ 78.34/10.56 (^[Y1 : char > option_trm]: 78.34/10.56 (produc1615133358on_fml @ 78.34/10.56 (^[Y2 : char > option_trm]: 78.34/10.56 (produc1420172399on_fml @ 78.34/10.56 (^[Y3 : char > option_fml,Y4 : char > option_game]: (Y3)))))) @ 78.34/10.56 sigma @ p))) @ 78.34/10.56 (uSubst516392818stappt @ sigma @ va @ theta)) 78.34/10.56 = (case_o209804997ml_fml @ 78.34/10.56 (some_fml @ 78.34/10.56 (pred @ p @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta)))) @ 78.34/10.56 (^[Y0 : fml]: 78.34/10.56 (if_option_fml @ 78.34/10.56 (((inf_inf_set_variable @ (static_FVF @ Y0) @ va) = 78.34/10.56 (bot_bot_set_variable))) @ 78.34/10.56 (uSubst516392804stappf @ 78.34/10.56 (uSubst1408967625substt @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ 78.34/10.56 bot_bot_set_variable @ Y0) @ 78.34/10.56 none_fml)) @ 78.34/10.56 (produc1250175341on_fml @ 78.34/10.56 (^[Y0 : char > option_trm]: 78.34/10.56 (produc1615133358on_fml @ 78.34/10.56 (^[Y1 : char > option_trm]: 78.34/10.56 (produc1420172399on_fml @ 78.34/10.56 (^[Y2 : char > option_fml,Y3 : char > option_game]: (Y2)))))) @ 78.34/10.56 sigma @ p)))), 78.34/10.56 inference('cnf', [status(esa)], [fact_34_f8])). 78.34/10.56 thf(zip_derived_cl7855, plain, 78.34/10.56 (![X1 : fml]: 78.34/10.56 (('#l_lift50951' @ X1) 78.34/10.56 = (if_option_fml @ 78.34/10.56 (((inf_inf_set_variable @ (static_FVF @ X1) @ va) = 78.34/10.56 (bot_bot_set_variable))) @ 78.34/10.56 (uSubst516392804stappf @ 78.34/10.56 (uSubst1408967625substt @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ 78.34/10.56 bot_bot_set_variable @ X1) @ 78.34/10.56 none_fml))), 78.34/10.56 define([status(thm)])). 78.34/10.56 thf(zip_derived_cl7918, plain, 78.34/10.56 ((('#l_lift50979' @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) 78.34/10.56 = ('#l_lift50951'))), 78.34/10.56 define([status(thm)])). 78.34/10.56 thf(zip_derived_cl226, plain, 78.34/10.56 (((case_o325794063ml_trm @ none_fml @ 78.34/10.56 (^[Y0 : trm]: 78.34/10.56 (case_o209804997ml_fml @ (some_fml @ (pred @ p @ Y0)) @ 78.34/10.56 (^[Y1 : fml]: 78.34/10.56 (if_option_fml @ 78.34/10.56 (((inf_inf_set_variable @ (static_FVF @ Y1) @ va) = 78.34/10.56 (bot_bot_set_variable))) @ 78.34/10.56 (uSubst516392804stappf @ (uSubst1408967625substt @ Y0) @ 78.34/10.56 bot_bot_set_variable @ Y1) @ 78.34/10.56 none_fml)) @ 78.34/10.56 (produc1250175341on_fml @ 78.34/10.56 (^[Y1 : char > option_trm]: 78.34/10.56 (produc1615133358on_fml @ 78.34/10.56 (^[Y2 : char > option_trm]: 78.34/10.56 (produc1420172399on_fml @ 78.34/10.56 (^[Y3 : char > option_fml,Y4 : char > option_game]: (Y3)))))) @ 78.34/10.56 sigma @ p))) @ 78.34/10.56 (uSubst516392818stappt @ sigma @ va @ theta)) 78.34/10.56 = (case_o209804997ml_fml @ 78.34/10.56 (some_fml @ 78.34/10.56 (pred @ p @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta)))) @ 78.34/10.56 (^[Y0 : fml]: 78.34/10.56 (if_option_fml @ 78.34/10.56 (((inf_inf_set_variable @ (static_FVF @ Y0) @ va) = 78.34/10.56 (bot_bot_set_variable))) @ 78.34/10.56 (uSubst516392804stappf @ 78.34/10.56 (uSubst1408967625substt @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ 78.34/10.56 bot_bot_set_variable @ Y0) @ 78.34/10.56 none_fml)) @ 78.34/10.56 (produc1250175341on_fml @ 78.34/10.56 (^[Y0 : char > option_trm]: 78.34/10.56 (produc1615133358on_fml @ 78.34/10.56 (^[Y1 : char > option_trm]: 78.34/10.56 (produc1420172399on_fml @ 78.34/10.56 (^[Y2 : char > option_fml,Y3 : char > option_game]: (Y2)))))) @ 78.34/10.56 sigma @ p)))), 78.34/10.56 inference('cnf', [status(esa)], [fact_34_f8])). 78.34/10.56 thf(zip_derived_cl7917, plain, 78.34/10.56 (![X1 : trm, X2 : fml]: 78.34/10.56 (('#l_lift50979' @ X1 @ X2) 78.34/10.56 = (if_option_fml @ 78.34/10.56 (((inf_inf_set_variable @ (static_FVF @ X2) @ va) = 78.34/10.56 (bot_bot_set_variable))) @ 78.34/10.56 (uSubst516392804stappf @ (uSubst1408967625substt @ X1) @ 78.34/10.56 bot_bot_set_variable @ X2) @ 78.34/10.56 none_fml))), 78.34/10.56 define([status(thm)])). 78.34/10.56 thf(zip_derived_cl7920, plain, 78.34/10.56 (((case_o325794063ml_trm @ none_fml @ '#l_lift50980' @ 78.34/10.56 (uSubst516392818stappt @ sigma @ va @ theta)) 78.34/10.56 = (case_o209804997ml_fml @ 78.34/10.56 (some_fml @ 78.34/10.56 (pred @ p @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta)))) @ 78.34/10.56 '#l_lift50951' @ 78.34/10.56 (produc1250175341on_fml @ '#l_lift50954' @ sigma @ p)))), 78.34/10.56 inference('lambda_lifting', [status(thm)], 78.34/10.56 [zip_derived_cl226, zip_derived_cl7858, zip_derived_cl7857, 78.34/10.56 zip_derived_cl7856, zip_derived_cl7855, zip_derived_cl7858, 78.34/10.56 zip_derived_cl7857, zip_derived_cl7856, zip_derived_cl7919, 78.34/10.56 zip_derived_cl7918, zip_derived_cl7917])). 78.34/10.56 thf(fact_36_f4, axiom, 78.34/10.56 (( case_o325794063ml_trm @ 78.34/10.56 none_fml @ 78.34/10.56 ( ^[T:trm]: 78.34/10.56 ( case_o209804997ml_fml @ 78.34/10.56 ( some_fml @ ( pred @ p @ T ) ) @ 78.34/10.56 ( ^[F2:fml]: 78.34/10.56 ( if_option_fml @ 78.34/10.56 ( ( inf_inf_set_variable @ ( static_FVF @ F2 ) @ va ) = 78.34/10.56 ( bot_bot_set_variable ) ) @ 78.34/10.56 ( uSubst516392804stappf @ 78.34/10.56 ( uSubst1408967625substt @ T ) @ bot_bot_set_variable @ F2 ) @ 78.34/10.56 none_fml ) ) @ 78.34/10.56 ( produc1250175341on_fml @ 78.34/10.56 ( ^[Uu:( char > option_trm )]: 78.34/10.56 ( produc1615133358on_fml @ 78.34/10.56 ( ^[Uv:( char > option_trm )]: 78.34/10.56 ( produc1420172399on_fml @ 78.34/10.56 ( ^[P:( char > option_fml ),Uw:( char > option_game )]: 78.34/10.56 ( P ) ) ) ) ) ) @ 78.34/10.56 sigma @ p ) ) ) @ 78.34/10.56 ( uSubst516392818stappt @ sigma @ va @ theta ) ) != 78.34/10.56 ( none_fml ))). 78.34/10.56 thf(zip_derived_cl318, plain, 78.34/10.56 (((case_o325794063ml_trm @ none_fml @ 78.34/10.56 (^[Y0 : trm]: 78.34/10.56 (case_o209804997ml_fml @ (some_fml @ (pred @ p @ Y0)) @ 78.34/10.56 (^[Y1 : fml]: 78.34/10.56 (if_option_fml @ 78.34/10.56 (((inf_inf_set_variable @ (static_FVF @ Y1) @ va) = 78.34/10.56 (bot_bot_set_variable))) @ 78.34/10.56 (uSubst516392804stappf @ (uSubst1408967625substt @ Y0) @ 78.34/10.56 bot_bot_set_variable @ Y1) @ 78.34/10.56 none_fml)) @ 78.34/10.56 (produc1250175341on_fml @ 78.34/10.56 (^[Y1 : char > option_trm]: 78.34/10.56 (produc1615133358on_fml @ 78.34/10.56 (^[Y2 : char > option_trm]: 78.34/10.56 (produc1420172399on_fml @ 78.34/10.56 (^[Y3 : char > option_fml,Y4 : char > option_game]: (Y3)))))) @ 78.34/10.56 sigma @ p))) @ 78.34/10.56 (uSubst516392818stappt @ sigma @ va @ theta)) != (none_fml))), 78.34/10.56 inference('cnf', [status(esa)], [fact_36_f4])). 78.34/10.56 thf(zip_derived_cl7855, plain, 78.34/10.56 (![X1 : fml]: 78.34/10.56 (('#l_lift50951' @ X1) 78.34/10.56 = (if_option_fml @ 78.34/10.56 (((inf_inf_set_variable @ (static_FVF @ X1) @ va) = 78.34/10.56 (bot_bot_set_variable))) @ 78.34/10.56 (uSubst516392804stappf @ 78.34/10.56 (uSubst1408967625substt @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ 78.34/10.56 bot_bot_set_variable @ X1) @ 78.34/10.56 none_fml))), 78.34/10.56 define([status(thm)])). 78.34/10.56 thf(zip_derived_cl7999, plain, 78.34/10.56 ((('#l_lift51009' @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) 78.34/10.56 = ('#l_lift50951'))), 78.34/10.56 define([status(thm)])).thf(zf_stmt_3, type, zip_tseitin_1 : $o). 78.34/10.56 thf(zf_stmt_4, type, zip_tseitin_0 : $o). 78.34/10.56 thf(zf_stmt_5, axiom, (~( ( zip_tseitin_1 ) & ( zip_tseitin_0 ) ))). 78.34/10.56 thf(zip_derived_cl38, plain, ((~ (zip_tseitin_1) | ~ (zip_tseitin_0))), 78.34/10.56 inference('cnf', [status(esa)], [zf_stmt_5])). 78.34/10.56 thf(fact_80_inf_Ocommute, axiom, 78.34/10.56 (![A3:set_variable,B2:set_variable]: 78.34/10.56 ( ( inf_inf_set_variable @ A3 @ B2 ) = ( inf_inf_set_variable @ B2 @ A3 ) ))). 78.34/10.56 thf(zip_derived_cl61, plain, 78.34/10.56 (![X0 : set_variable, X1 : set_variable]: 78.34/10.56 ((inf_inf_set_variable @ X1 @ X0) = (inf_inf_set_variable @ X0 @ X1))), 78.34/10.56 inference('cnf', [status(esa)], [fact_80_inf_Ocommute])). 78.34/10.56 thf(zip_derived_cl35, plain, 78.34/10.56 (( (zip_tseitin_0) 78.34/10.56 | ((inf_inf_set_variable @ 78.34/10.56 (static_FVF @ 78.34/10.56 (the_fml @ 78.34/10.56 (produc1250175341on_fml @ 78.34/10.56 (^[Y0 : char > option_trm]: 78.34/10.56 (produc1615133358on_fml @ 78.34/10.56 (^[Y1 : char > option_trm]: 78.34/10.56 (produc1420172399on_fml @ 78.34/10.56 (^[Y2 : char > option_fml,Y3 : char > option_game]: (Y2)))))) @ 78.34/10.56 sigma @ p))) @ 78.34/10.56 va) = (bot_bot_set_variable)))), 78.34/10.56 inference('cnf', [status(esa)], [zf_stmt_0])). 78.34/10.56 thf(zip_derived_cl6108, plain, 78.34/10.56 ((((inf_inf_set_variable @ va @ 78.34/10.56 (static_FVF @ 78.34/10.56 (the_fml @ 78.34/10.56 (produc1250175341on_fml @ 78.34/10.56 (^[Y0 : char > option_trm]: 78.34/10.56 (produc1615133358on_fml @ 78.34/10.56 (^[Y1 : char > option_trm]: 78.34/10.56 (produc1420172399on_fml @ 78.34/10.56 (^[Y2 : char > option_fml,Y3 : char > option_game]: (Y2)))))) @ 78.34/10.56 sigma @ p)))) 78.34/10.56 = (bot_bot_set_variable)) 78.34/10.56 | (zip_tseitin_0))), 78.34/10.56 inference('sup+', [status(thm)], [zip_derived_cl61, zip_derived_cl35])). 78.34/10.56 thf(zip_derived_cl206, plain, 78.34/10.56 (((inf_inf_set_variable @ 78.34/10.56 (static_FVF @ 78.34/10.56 (the_fml @ 78.34/10.56 (produc1250175341on_fml @ 78.34/10.56 (^[Y0 : char > option_trm]: 78.34/10.56 (produc1615133358on_fml @ 78.34/10.56 (^[Y1 : char > option_trm]: 78.34/10.56 (produc1420172399on_fml @ 78.34/10.56 (^[Y2 : char > option_fml,Y3 : char > option_game]: (Y2)))))) @ 78.34/10.56 sigma @ p))) @ 78.34/10.56 va) != (bot_bot_set_variable))), 78.34/10.56 inference('cnf', [status(esa)], 78.34/10.56 [fact_8__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_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_092_060close_062])). 78.34/10.56 thf(zip_derived_cl61, plain, 78.34/10.56 (![X0 : set_variable, X1 : set_variable]: 78.34/10.56 ((inf_inf_set_variable @ X1 @ X0) = (inf_inf_set_variable @ X0 @ X1))), 78.34/10.56 inference('cnf', [status(esa)], [fact_80_inf_Ocommute])). 78.34/10.56 thf(zip_derived_cl2107, plain, 78.34/10.56 (((inf_inf_set_variable @ va @ 78.34/10.56 (static_FVF @ 78.34/10.56 (the_fml @ 78.34/10.56 (produc1250175341on_fml @ 78.34/10.56 (^[Y0 : char > option_trm]: 78.34/10.56 (produc1615133358on_fml @ 78.34/10.56 (^[Y1 : char > option_trm]: 78.34/10.56 (produc1420172399on_fml @ 78.34/10.56 (^[Y2 : char > option_fml,Y3 : char > option_game]: (Y2)))))) @ 78.34/10.56 sigma @ p)))) 78.34/10.56 != (bot_bot_set_variable))), 78.34/10.56 inference('demod', [status(thm)], [zip_derived_cl206, zip_derived_cl61])). 78.34/10.56 thf(zip_derived_cl6110, plain, ( (zip_tseitin_0)), 78.34/10.56 inference('simplify_reflect-', [status(thm)], 78.34/10.56 [zip_derived_cl6108, zip_derived_cl2107])). 78.34/10.56 thf(zip_derived_cl6118, plain, (~ (zip_tseitin_1)), 78.34/10.56 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl6110])). 78.34/10.56 thf(zip_derived_cl7855, plain, 78.34/10.56 (![X1 : fml]: 78.34/10.56 (('#l_lift50951' @ X1) 78.34/10.56 = (if_option_fml @ 78.34/10.56 (((inf_inf_set_variable @ (static_FVF @ X1) @ va) = 78.34/10.56 (bot_bot_set_variable))) @ 78.34/10.56 (uSubst516392804stappf @ 78.34/10.56 (uSubst1408967625substt @ 78.34/10.56 (the_trm @ (uSubst516392818stappt @ sigma @ va @ theta))) @ 78.34/10.56 bot_bot_set_variable @ X1) @ 78.34/10.56 none_fml))), 78.34/10.56 define([status(thm)])). 78.34/10.56 thf(zip_derived_cl318, plain, 78.34/10.56 (((case_o325794063ml_trm @ none_fml @ 78.34/10.56 (^[Y0 : trm]: 78.34/10.56 (case_o209804997ml_fml @ (some_fml @ (pred @ p @ Y0)) @ 78.34/10.56 (^[Y1 : fml]: 78.34/10.56 (if_option_fml @ 78.34/10.56 (((inf_inf_set_variable @ (static_FVF @ Y1) @ va) = 78.34/10.56 (bot_bot_set_variable))) @ 78.34/10.56 (uSubst516392804stappf @ (uSubst1408967625substt @ Y0) @ 78.34/10.56 bot_bot_set_variable @ Y1) @ 78.34/10.56 none_fml)) @ 78.34/10.56 (produc1250175341on_fml @ 78.34/10.56 (^[Y1 : char > option_trm]: 78.34/10.56 (produc1615133358on_fml @ 78.34/10.56 (^[Y2 : char > option_trm]: 78.34/10.56 (produc1420172399on_fml @ 78.34/10.56 (^[Y3 : char > option_fml,Y4 : char > option_game]: (Y3)))))) @ 78.34/10.56 sigma @ p))) @ 78.34/10.56 (uSubst516392818stappt @ sigma @ va @ theta)) != (none_fml))), 78.34/10.56 inference('cnf', [status(esa)], [fact_36_f4])). 78.34/10.56 thf(zip_derived_cl7917, plain, 78.34/10.56 (![X1 : trm, X2 : fml]: 78.34/10.56 (('#l_lift50979' @ X1 @ X2) 78.34/10.56 = (if_option_fml @ 78.34/10.56 (((inf_inf_set_variable @ (static_FVF @ X2) @ va) = 78.34/10.56 (bot_bot_set_variable))) @ 78.34/10.56 (uSubst516392804stappf @ (uSubst1408967625substt @ X1) @ 78.34/10.56 bot_bot_set_variable @ X2) @ 78.34/10.56 none_fml))), 78.34/10.56 define([status(thm)])). 78.34/10.56 thf(zip_derived_cl8000, plain, 78.34/10.56 (![X0 : trm]: (('#l_lift51009' @ X0) = ('#l_lift50979' @ X0))), 78.34/10.56 define([status(thm)])). 78.34/10.56 thf(zip_derived_cl7919, plain, 78.34/10.56 (![X3 : trm]: 78.34/10.56 (('#l_lift50980' @ X3) 78.34/10.56 = (case_o209804997ml_fml @ (some_fml @ (pred @ p @ X3)) @ 78.34/10.56 ('#l_lift50979' @ X3) @ 78.34/10.56 (produc1250175341on_fml @ '#l_lift50954' @ sigma @ p)))), 78.34/10.56 define([status(thm)])). 78.34/10.56 thf(zip_derived_cl8060, plain, ($false), 78.34/10.56 inference('eprover', [status(thm)], 78.34/10.56 [zip_derived_cl7892, zip_derived_cl8049, zip_derived_cl166, 78.34/10.56 zip_derived_cl351, zip_derived_cl31, zip_derived_cl411, 78.34/10.56 zip_derived_cl7861, zip_derived_cl219, zip_derived_cl421, 78.34/10.56 zip_derived_cl7920, zip_derived_cl7999, zip_derived_cl6118, 78.34/10.56 zip_derived_cl7855, zip_derived_cl8000, zip_derived_cl7919])). 78.34/10.56 78.34/10.56 % SZS output end Refutation 78.34/10.56 78.34/10.56 78.34/10.56 % Terminating... 78.64/10.62 % Runner terminated. 78.64/10.63 % Zipperpin 1.5 exiting 78.64/10.63 EOF