0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.08	% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 180 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
0.15/0.41	% Computer : n014.cluster.edu
0.15/0.41	% Model    : x86_64 x86_64
0.15/0.41	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.41	% Memory   : 8046.5625MB
0.15/0.41	% OS       : Linux 6.8.0-71-generic
0.15/0.41	% CPULimit : 1440
0.15/0.41	% WCLimit  : 180
0.15/0.41	% DateTime : Mon Jul 27 12:57:54 UTC 2026
0.15/0.42	% CPUTime  : 
0.15/0.42	Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 180 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
0.70/0.72	% [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
5.57/2.09	% [INFO] 	 Parsing done (1370ms). 
5.57/2.11	% [INFO] 	 Running in sequential loop mode. 
6.19/2.48	% [INFO] 	 eprover registered as external prover. 
6.19/2.49	% [INFO] 	 Scanning for conjecture ... 
7.82/3.00	% [INFO] 	 Found a conjecture (or negated_conjecture) and 9725 axioms. Running axiom selection ... 
8.72/3.14	% [INFO] 	 Axiom selection finished. Selected 22 axioms (removed 9703 axioms). 
8.72/3.17	% [INFO] 	 Problem is higher-order (TPTP THF). 
8.72/3.18	% [INFO] 	 Type checking passed. 
8.72/3.18	% [CONFIG] 	 Using configuration: timeout(180) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
13.03/4.24	% External prover 'e' found a proof!
13.03/4.24	% [INFO] 	 Killing All external provers ... 
13.03/4.24	% Time passed: 3736ms (effective reasoning time: 2126ms)
13.03/4.24	% Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
13.03/4.25	% Axioms used in derivation (22): fact_8_bot__assn__def, fact_453_ab__semigroup__mult__class_Omult_Oleft__commute, fact_1620_top__assn__def, fact_448_mult_Oright__commute, fact_0_Rep__assn__inject, fact_2_Abs__assn__eqI_I2_J, fact_1623_uminus__assn__def, fact_443_mult_Oright__assoc, fact_21_assn__times__comm, fact_24_mod__starD, fact_23_mod__starE, fact_15_times__assn__def, fact_3_Abs__assn__eqI_I1_J, fact_458_ab__semigroup__mult__class_Omult_Ocommute, fact_1841_minus__assn__def, fact_1619_models__in__range, fact_6_inf__assn__def, fact_22_assn__times__assoc, fact_1_Rep__assn__inverse, fact_7_sup__assn__def, fact_4_wand__assn__def, fact_463_mult_Oassoc
13.03/4.25	% No. of inferences in proof: 48
13.03/4.25	% SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3736 ms resp. 2126 ms w/o parsing
13.54/4.32	% SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
13.54/4.32	thf(set_Pr8536935166611901872et_nat_type, type, set_Pr8536935166611901872et_nat: $tType).
13.54/4.32	thf(produc4193628355235574503at_nat_type, type, produc4193628355235574503at_nat: $tType).
13.54/4.32	thf(produc2732055786443039994et_nat_type, type, produc2732055786443039994et_nat: $tType).
13.54/4.32	thf(set_Pr4759807026041935047at_nat_type, type, set_Pr4759807026041935047at_nat: $tType).
13.54/4.32	thf(produc1319942482725812455at_nat_type, type, produc1319942482725812455at_nat: $tType).
13.54/4.32	thf(set_Pr5564308138774400199at_nat_type, type, set_Pr5564308138774400199at_nat: $tType).
13.54/4.32	thf(set_Pr1281608226676607948nteger_type, type, set_Pr1281608226676607948nteger: $tType).
13.54/4.32	thf(produc989692990947075319atural_type, type, produc989692990947075319atural: $tType).
13.54/4.32	thf(produc1908205239877642774nteger_type, type, produc1908205239877642774nteger: $tType).
13.54/4.32	thf(set_Pr9222295170931077689nt_int_type, type, set_Pr9222295170931077689nt_int: $tType).
13.54/4.32	thf(set_Pr2161125870931222855_nat_o_type, type, set_Pr2161125870931222855_nat_o: $tType).
13.54/4.32	thf(produc2285326912895808259nt_int_type, type, produc2285326912895808259nt_int: $tType).
13.54/4.32	thf(set_Pr3286484037609594932et_nat_type, type, set_Pr3286484037609594932et_nat: $tType).
13.54/4.32	thf(produc4928098042776334183_nat_o_type, type, produc4928098042776334183_nat_o: $tType).
13.54/4.32	thf(produc3925858234332021118et_nat_type, type, produc3925858234332021118et_nat: $tType).
13.54/4.32	thf(produc8731074985263844745atural_type, type, produc8731074985263844745atural: $tType).
13.54/4.32	thf(produc8763457246119570046nteger_type, type, produc8763457246119570046nteger: $tType).
13.54/4.32	thf(produc6576344331059438605e_term_type, type, produc6576344331059438605e_term: $tType).
13.54/4.32	thf(set_Pr1872883991513573699nt_int_type, type, set_Pr1872883991513573699nt_int: $tType).
13.54/4.32	thf(produc7773217078559923341nt_int_type, type, produc7773217078559923341nt_int: $tType).
13.54/4.32	thf(set_Pr8551490117392284871at_nat_type, type, set_Pr8551490117392284871at_nat: $tType).
13.54/4.32	thf(produc6756470014200349799atural_type, type, produc6756470014200349799atural: $tType).
13.54/4.32	thf(produc4166570645942440679at_nat_type, type, produc4166570645942440679at_nat: $tType).
13.54/4.32	thf(set_Pr4329608150637261639at_nat_type, type, set_Pr4329608150637261639at_nat: $tType).
13.54/4.32	thf(set_Pr8057934254988874055nt_int_type, type, set_Pr8057934254988874055nt_int: $tType).
13.54/4.32	thf(produc4471711990508489141at_nat_type, type, produc4471711990508489141at_nat: $tType).
13.54/4.32	thf(produc3843707927480180839at_nat_type, type, produc3843707927480180839at_nat: $tType).
13.54/4.32	thf(produc412284730452459111nt_int_type, type, produc412284730452459111nt_int: $tType).
13.54/4.32	thf(set_Pr457366540195662369at_nat_type, type, set_Pr457366540195662369at_nat: $tType).
13.54/4.32	thf(produc4675096598859438275atural_type, type, produc4675096598859438275atural: $tType).
13.54/4.32	thf(set_Pr8693737435421807431at_nat_type, type, set_Pr8693737435421807431at_nat: $tType).
13.54/4.32	thf(produc732395585841259969at_nat_type, type, produc732395585841259969at_nat: $tType).
13.54/4.32	thf(set_Pr1932065953672099015od_o_o_type, type, set_Pr1932065953672099015od_o_o: $tType).
13.54/4.32	thf(produc5835291356934675326atural_type, type, produc5835291356934675326atural: $tType).
13.54/4.32	thf(set_Pr4532377907799695533_nat_o_type, type, set_Pr4532377907799695533_nat_o: $tType).
13.54/4.32	thf(produc859450856879609959at_nat_type, type, produc859450856879609959at_nat: $tType).
13.54/4.32	thf(produc2934264451710624999od_o_o_type, type, produc2934264451710624999od_o_o: $tType).
13.54/4.32	thf(produc4972180933644002618e_term_type, type, produc4972180933644002618e_term: $tType).
13.54/4.32	thf(produc6241069584506657477e_term_type, type, produc6241069584506657477e_term: $tType).
13.54/4.32	thf(produc3658429121746597890et_nat_type, type, produc3658429121746597890et_nat: $tType).
13.54/4.32	thf(produc8551481072490612790e_term_type, type, produc8551481072490612790e_term: $tType).
13.54/4.32	thf(set_Pr5488025237498180813et_nat_type, type, set_Pr5488025237498180813et_nat: $tType).
13.54/4.32	thf(option6357759511663192854e_term_type, type, option6357759511663192854e_term: $tType).
13.54/4.32	thf(produc7248412053542808358at_nat_type, type, produc7248412053542808358at_nat: $tType).
13.54/4.32	thf(set_Pr5094982260447487303t_unit_type, type, set_Pr5094982260447487303t_unit: $tType).
13.54/4.32	thf(set_op4508134149509766951at_nat_type, type, set_op4508134149509766951at_nat: $tType).
13.54/4.32	thf(set_se7855581050983116737at_nat_type, type, set_se7855581050983116737at_nat: $tType).
13.54/4.32	thf(set_se6260736226359567993nt_int_type, type, set_se6260736226359567993nt_int: $tType).
13.54/4.32	thf(produc7819656566062154093et_nat_type, type, produc7819656566062154093et_nat: $tType).
13.54/4.32	thf(produc7822875418678951345atural_type, type, produc7822875418678951345atural: $tType).
13.54/4.32	thf(produc8923325533196201883nteger_type, type, produc8923325533196201883nteger: $tType).
13.54/4.32	thf(multis2468970476368604999at_nat_type, type, multis2468970476368604999at_nat: $tType).
13.54/4.32	thf(filter1242075044329608583at_nat_type, type, filter1242075044329608583at_nat: $tType).
13.54/4.32	thf(set_Pr8928021450653196913at_rat_type, type, set_Pr8928021450653196913at_rat: $tType).
13.54/4.32	thf(set_Pr6084635751276098665at_nat_type, type, set_Pr6084635751276098665at_nat: $tType).
13.54/4.32	thf(set_Pr3594552606344371909at_int_type, type, set_Pr3594552606344371909at_int: $tType).
13.54/4.32	thf(set_Pr4105333604307423337at_rat_type, type, set_Pr4105333604307423337at_rat: $tType).
13.54/4.32	thf(set_Pr1261947904930325089at_nat_type, type, set_Pr1261947904930325089at_nat: $tType).
13.54/4.32	thf(set_Pr958786334691620121nt_int_type, type, set_Pr958786334691620121nt_int: $tType).
13.54/4.32	thf(set_option_list_nat_type, type, set_option_list_nat: $tType).
13.54/4.32	thf(set_Sum_sum_rat_rat_type, type, set_Sum_sum_rat_rat: $tType).
13.54/4.32	thf(set_Sum_sum_rat_nat_type, type, set_Sum_sum_rat_nat: $tType).
13.54/4.32	thf(set_Sum_sum_rat_int_type, type, set_Sum_sum_rat_int: $tType).
13.54/4.32	thf(set_Sum_sum_nat_rat_type, type, set_Sum_sum_nat_rat: $tType).
13.54/4.32	thf(set_Sum_sum_nat_nat_type, type, set_Sum_sum_nat_nat: $tType).
13.54/4.32	thf(set_set_list_nat_type, type, set_set_list_nat: $tType).
13.54/4.32	thf(set_Pr2399638329824935915_rat_o_type, type, set_Pr2399638329824935915_rat_o: $tType).
13.54/4.32	thf(set_Pr3149072824959771635_nat_o_type, type, set_Pr3149072824959771635_nat_o: $tType).
13.54/4.32	thf(set_Pr4944855402158566229_o_rat_type, type, set_Pr4944855402158566229_o_rat: $tType).
13.54/4.32	thf(set_Pr2101469702781467981_o_nat_type, type, set_Pr2101469702781467981_o_nat: $tType).
13.54/4.32	thf(set_Pr8834758594704517033_o_int_type, type, set_Pr8834758594704517033_o_int: $tType).
13.54/4.32	thf(produc6271795597528267376eger_o_type, type, produc6271795597528267376eger_o: $tType).
13.54/4.32	thf(set_set_set_nat_type, type, set_set_set_nat: $tType).
13.54/4.32	thf(set_Sum_sum_rat_o_type, type, set_Sum_sum_rat_o: $tType).
13.54/4.32	thf(set_Sum_sum_nat_o_type, type, set_Sum_sum_nat_o: $tType).
13.54/4.32	thf(set_Sum_sum_o_rat_type, type, set_Sum_sum_o_rat: $tType).
13.54/4.32	thf(set_Sum_sum_o_nat_type, type, set_Sum_sum_o_nat: $tType).
13.54/4.32	thf(set_Sum_sum_o_int_type, type, set_Sum_sum_o_int: $tType).
13.54/4.32	thf(heap_e7401611519738050253t_unit_type, type, heap_e7401611519738050253t_unit: $tType).
13.54/4.32	thf(product_prod_num_num_type, type, product_prod_num_num: $tType).
13.54/4.32	thf(product_prod_nat_num_type, type, product_prod_nat_num: $tType).
13.54/4.32	thf(product_prod_nat_nat_type, type, product_prod_nat_nat: $tType).
13.54/4.32	thf(product_prod_int_int_type, type, product_prod_int_int: $tType).
13.54/4.32	thf(set_Product_prod_o_o_type, type, set_Product_prod_o_o: $tType).
13.54/4.32	thf(sum_sum_nat_nat_type, type, sum_sum_nat_nat: $tType).
13.54/4.32	thf(set_option_rat_type, type, set_option_rat: $tType).
13.54/4.32	thf(set_option_nat_type, type, set_option_nat: $tType).
13.54/4.32	thf(set_option_int_type, type, set_option_int: $tType).
13.54/4.32	thf(set_list_char_type, type, set_list_char: $tType).
13.54/4.32	thf(set_filter_nat_type, type, set_filter_nat: $tType).
13.54/4.32	thf(filter_set_nat_type, type, filter_set_nat: $tType).
13.54/4.32	thf(set_Sum_sum_o_o_type, type, set_Sum_sum_o_o: $tType).
13.54/4.32	thf(pred_Product_unit_type, type, pred_Product_unit: $tType).
13.54/4.32	thf(set_list_nat_type, type, set_list_nat: $tType).
13.54/4.32	thf(list_Code_integer_type, type, list_Code_integer: $tType).
13.54/4.32	thf(set_set_rat_type, type, set_set_rat: $tType).
13.54/4.32	thf(set_set_nat_type, type, set_set_nat: $tType).
13.54/4.32	thf(set_set_int_type, type, set_set_int: $tType).
13.54/4.32	thf(set_Code_integer_type, type, set_Code_integer: $tType).
13.54/4.32	thf(set_Product_unit_type, type, set_Product_unit: $tType).
13.54/4.32	thf(set_option_o_type, type, set_option_o: $tType).
13.54/4.32	thf(set_literal_type, type, set_literal: $tType).
13.54/4.32	thf(set_set_o_type, type, set_set_o: $tType).
13.54/4.32	thf(option_num_type, type, option_num: $tType).
13.54/4.32	thf(list_char_type, type, list_char: $tType).
13.54/4.32	thf(filter_nat_type, type, filter_nat: $tType).
13.54/4.32	thf(set_char_type, type, set_char: $tType).
13.54/4.32	thf(list_nat_type, type, list_nat: $tType).
13.54/4.32	thf(list_int_type, type, list_int: $tType).
13.54/4.32	thf(set_rat_type, type, set_rat: $tType).
13.54/4.32	thf(set_nat_type, type, set_nat: $tType).
13.54/4.32	thf(set_int_type, type, set_int: $tType).
13.54/4.32	thf(code_natural_type, type, code_natural: $tType).
13.54/4.32	thf(code_integer_type, type, code_integer: $tType).
13.54/4.32	thf(product_unit_type, type, product_unit: $tType).
13.54/4.32	thf(assn_type, type, assn: $tType).
13.54/4.32	thf(literal_type, type, literal: $tType).
13.54/4.32	thf(set_o_type, type, set_o: $tType).
13.54/4.32	thf(char_type, type, char: $tType).
13.54/4.32	thf(rat_type, type, rat: $tType).
13.54/4.32	thf(num_type, type, num: $tType).
13.54/4.32	thf(nat_type, type, nat: $tType).
13.54/4.32	thf(int_type, type, int: $tType).
13.54/4.32	thf(abs_assn_decl, type, abs_assn: ((produc3658429121746597890et_nat > $o) > assn)).
13.54/4.32	thf(rep_assn_decl, type, rep_assn: (assn > (produc3658429121746597890et_nat > $o))).
13.54/4.32	thf(in_range_decl, type, in_range: (produc3658429121746597890et_nat > $o)).
13.54/4.32	thf(times_assn_raw_decl, type, times_assn_raw: ((produc3658429121746597890et_nat > $o) > ((produc3658429121746597890et_nat > $o) > (produc3658429121746597890et_nat > $o)))).
13.54/4.32	thf(wand_assn_decl, type, wand_assn: (assn > (assn > assn))).
13.54/4.32	thf(wand_raw_decl, type, wand_raw: ((produc3658429121746597890et_nat > $o) > ((produc3658429121746597890et_nat > $o) > (produc3658429121746597890et_nat > $o)))).
13.54/4.32	thf(minus_minus_assn_decl, type, minus_minus_assn: (assn > (assn > assn))).
13.54/4.32	thf(times_times_assn_decl, type, times_times_assn: (assn > (assn > assn))).
13.54/4.32	thf(uminus_uminus_assn_decl, type, uminus_uminus_assn: (assn > assn)).
13.54/4.32	thf(inf_inf_assn_decl, type, inf_inf_assn: (assn > (assn > assn))).
13.54/4.32	thf(sup_sup_assn_decl, type, sup_sup_assn: (assn > (assn > assn))).
13.54/4.32	thf(bot_bot_assn_decl, type, bot_bot_assn: assn).
13.54/4.32	thf(top_top_assn_decl, type, top_top_assn: assn).
13.54/4.32	thf(x_decl, type, x: assn).
13.54/4.32	thf(y_decl, type, y: assn).
13.54/4.32	thf(4,axiom,((! [A:assn,B:assn,C:assn]: ((times_times_assn @ (times_times_assn @ A @ B) @ C) = (times_times_assn @ A @ (times_times_assn @ B @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_463_mult_Oassoc)).
13.54/4.32	thf(29,plain,((! [A:assn,B:assn,C:assn]: ((times_times_assn @ (times_times_assn @ A @ B) @ C) = (times_times_assn @ A @ (times_times_assn @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])).
13.54/4.32	thf(24,axiom,((wand_assn = (^ [A:assn,B:assn]: (abs_assn @ (wand_raw @ (rep_assn @ A) @ (rep_assn @ B)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_wand__assn__def)).
13.54/4.32	thf(84,plain,(((wand_assn) = (^ [A:assn,B:assn]: (abs_assn @ (wand_raw @ (rep_assn @ A) @ (rep_assn @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[24])).
13.54/4.32	thf(20,axiom,((! [A:assn]: ((abs_assn @ (rep_assn @ A)) = A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_Rep__assn__inverse)).
13.54/4.32	thf(74,plain,((! [A:assn]: ((abs_assn @ (rep_assn @ A)) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[20])).
13.54/4.32	thf(15,axiom,((top_top_assn = (abs_assn @ in_range))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1620_top__assn__def)).
13.54/4.32	thf(60,plain,((top_top_assn = (abs_assn @ (in_range)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[15])).
13.54/4.32	thf(13,axiom,((! [A:assn,B:assn,C:produc3658429121746597890et_nat]: ((rep_assn @ (times_times_assn @ A @ B) @ C) => (~ ((! [D:produc3658429121746597890et_nat]: ~ (rep_assn @ B @ D)) <= (? [D:produc3658429121746597890et_nat]: (rep_assn @ A @ D))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_mod__starE)).
13.54/4.32	thf(53,plain,((! [A:assn,B:assn,C:produc3658429121746597890et_nat]: ((rep_assn @ (times_times_assn @ A @ B) @ C) => (~ ((? [D:produc3658429121746597890et_nat]: (rep_assn @ A @ D)) => (! [D:produc3658429121746597890et_nat]: ~ (rep_assn @ B @ D))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[13])).
13.54/4.32	thf(21,axiom,((sup_sup_assn = (^ [A:assn,B:assn]: (abs_assn @ (^ [C:produc3658429121746597890et_nat]: ((rep_assn @ A @ C) | (rep_assn @ B @ C))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_sup__assn__def)).
13.54/4.32	thf(77,plain,(((sup_sup_assn) = (^ [A:assn,B:assn]: (abs_assn @ (^ [C:produc3658429121746597890et_nat]: ((rep_assn @ A @ C) | (rep_assn @ B @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[21])).
13.54/4.32	thf(3,axiom,((times_times_assn = (^ [A:assn,B:assn]: (times_times_assn @ B @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_458_ab__semigroup__mult__class_Omult_Ocommute)).
13.54/4.32	thf(27,plain,(((times_times_assn) = (^ [A:assn,B:assn]: (times_times_assn @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])).
13.54/4.32	thf(23,axiom,((! [A:(produc3658429121746597890et_nat > $o),B:assn]: (((abs_assn @ A) = B) <= (! [C:produc3658429121746597890et_nat]: ((A @ C) = (rep_assn @ B @ C)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_Abs__assn__eqI_I1_J)).
13.54/4.32	thf(81,plain,((! [A:(produc3658429121746597890et_nat > $o),B:assn]: ((! [C:produc3658429121746597890et_nat]: ((A @ C) = (rep_assn @ B @ C))) => ((abs_assn @ (A)) = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[23])).
13.54/4.32	thf(6,axiom,((times_times_assn = (^ [A:assn,B:assn]: (times_times_assn @ B @ A)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_assn__times__comm)).
13.54/4.32	thf(35,plain,(((times_times_assn) = (^ [A:assn,B:assn]: (times_times_assn @ B @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])).
13.54/4.32	thf(11,axiom,((bot_bot_assn = (abs_assn @ (^ [A:produc3658429121746597890et_nat]: (($false)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_bot__assn__def)).
13.54/4.32	thf(48,plain,((bot_bot_assn = (abs_assn @ (^ [A:produc3658429121746597890et_nat]: (($false)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[11])).
13.54/4.32	thf(8,axiom,((! [A:assn,B:assn,C:assn]: ((times_times_assn @ (times_times_assn @ A @ B) @ C) = (times_times_assn @ A @ (times_times_assn @ B @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_assn__times__assoc)).
13.54/4.32	thf(40,plain,((! [A:assn,B:assn,C:assn]: ((times_times_assn @ (times_times_assn @ A @ B) @ C) = (times_times_assn @ A @ (times_times_assn @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[8])).
13.54/4.32	thf(14,axiom,((inf_inf_assn = (^ [A:assn,B:assn]: (abs_assn @ (^ [C:produc3658429121746597890et_nat]: ((rep_assn @ B @ C) & (rep_assn @ A @ C))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_inf__assn__def)).
13.54/4.32	thf(58,plain,(((inf_inf_assn) = (^ [A:assn,B:assn]: (abs_assn @ (^ [C:produc3658429121746597890et_nat]: ((rep_assn @ B @ C) & (rep_assn @ A @ C))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[14])).
13.54/4.32	thf(22,axiom,((uminus_uminus_assn = (^ [A:assn]: (abs_assn @ (^ [B:produc3658429121746597890et_nat]: ((in_range @ B) & ~ (rep_assn @ A @ B))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1623_uminus__assn__def)).
13.54/4.32	thf(79,plain,(((uminus_uminus_assn) = (^ [A:assn]: (abs_assn @ (^ [B:produc3658429121746597890et_nat]: ((in_range @ B) & ~ (rep_assn @ A @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[22])).
13.54/4.32	thf(16,axiom,((times_times_assn = (^ [A:assn,B:assn]: (abs_assn @ (times_assn_raw @ (rep_assn @ A) @ (rep_assn @ B)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_times__assn__def)).
13.54/4.32	thf(62,plain,(((times_times_assn) = (^ [A:assn,B:assn]: (abs_assn @ (times_assn_raw @ (rep_assn @ A) @ (rep_assn @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[16])).
13.54/4.32	thf(7,axiom,((! [A:assn,B:assn,C:assn]: ((times_times_assn @ A @ (times_times_assn @ B @ C)) = (times_times_assn @ B @ (times_times_assn @ A @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_453_ab__semigroup__mult__class_Omult_Oleft__commute)).
13.54/4.32	thf(37,plain,((! [A:assn,B:assn,C:assn]: ((times_times_assn @ A @ (times_times_assn @ B @ C)) = (times_times_assn @ B @ (times_times_assn @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[7])).
13.54/4.32	thf(1,conjecture,((((x != y) & (x = (abs_assn @ (^ [A:produc3658429121746597890et_nat]: ((rep_assn @ y @ A) & (rep_assn @ x @ A)))))) = ((y != (abs_assn @ (^ [A:produc3658429121746597890et_nat]: ((rep_assn @ y @ A) & (rep_assn @ x @ A))))) & (x = (abs_assn @ (^ [A:produc3658429121746597890et_nat]: ((rep_assn @ y @ A) & (rep_assn @ x @ A)))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
13.54/4.32	thf(2,negated_conjecture,((~ (((x != y) & (x = (abs_assn @ (^ [A:produc3658429121746597890et_nat]: ((rep_assn @ y @ A) & (rep_assn @ x @ A)))))) = ((y != (abs_assn @ (^ [A:produc3658429121746597890et_nat]: ((rep_assn @ y @ A) & (rep_assn @ x @ A))))) & (x = (abs_assn @ (^ [A:produc3658429121746597890et_nat]: ((rep_assn @ y @ A) & (rep_assn @ x @ A))))))))),inference(neg_conjecture,[status(cth)],[1])).
13.54/4.32	thf(25,plain,((~ ((~ (x = y) & (x = (abs_assn @ (^ [A:produc3658429121746597890et_nat]: ((rep_assn @ y @ A) & (rep_assn @ x @ A)))))) = (~ (y = (abs_assn @ (^ [A:produc3658429121746597890et_nat]: ((rep_assn @ y @ A) & (rep_assn @ x @ A))))) & (x = (abs_assn @ (^ [A:produc3658429121746597890et_nat]: ((rep_assn @ y @ A) & (rep_assn @ x @ A))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
13.54/4.32	thf(5,axiom,((! [A:assn,B:assn,C:assn]: ((times_times_assn @ (times_times_assn @ A @ B) @ C) = (times_times_assn @ (times_times_assn @ A @ C) @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_448_mult_Oright__commute)).
13.54/4.32	thf(32,plain,((! [A:assn,B:assn,C:assn]: ((times_times_assn @ (times_times_assn @ A @ B) @ C) = (times_times_assn @ (times_times_assn @ A @ C) @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])).
13.54/4.32	thf(10,axiom,((! [A:assn,B:assn,C:assn]: ((times_times_assn @ (times_times_assn @ A @ B) @ C) = (times_times_assn @ A @ (times_times_assn @ B @ C))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_443_mult_Oright__assoc)).
13.54/4.32	thf(45,plain,((! [A:assn,B:assn,C:assn]: ((times_times_assn @ (times_times_assn @ A @ B) @ C) = (times_times_assn @ A @ (times_times_assn @ B @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[10])).
13.54/4.32	thf(17,axiom,((! [A:assn,B:assn]: (((rep_assn @ A) = (rep_assn @ B)) = (A = B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_Rep__assn__inject)).
13.54/4.32	thf(64,plain,((! [A:assn,B:assn]: (((rep_assn @ A) = (rep_assn @ B)) = (A = B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[17])).
13.54/4.32	thf(12,axiom,((! [A:(produc3658429121746597890et_nat > $o),B:assn]: ((! [C:produc3658429121746597890et_nat]: ((A @ C) = (rep_assn @ B @ C))) => (B = (abs_assn @ A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_Abs__assn__eqI_I2_J)).
13.54/4.32	thf(50,plain,((! [A:(produc3658429121746597890et_nat > $o),B:assn]: ((! [C:produc3658429121746597890et_nat]: ((A @ C) = (rep_assn @ B @ C))) => (B = (abs_assn @ (A)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[12])).
13.54/4.32	thf(18,axiom,((! [A:assn,B:assn,C:produc3658429121746597890et_nat]: ((rep_assn @ (times_times_assn @ A @ B) @ C) => (? [D:produc3658429121746597890et_nat,E:produc3658429121746597890et_nat]: ((rep_assn @ A @ D) & (rep_assn @ B @ E)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_mod__starD)).
13.54/4.32	thf(67,plain,((! [A:assn,B:assn,C:produc3658429121746597890et_nat]: ((rep_assn @ (times_times_assn @ A @ B) @ C) => (? [D:produc3658429121746597890et_nat,E:produc3658429121746597890et_nat]: ((rep_assn @ A @ D) & (rep_assn @ B @ E)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[18])).
13.54/4.32	thf(19,axiom,((! [A:assn,B:produc3658429121746597890et_nat]: ((in_range @ B) <= (rep_assn @ A @ B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1619_models__in__range)).
13.54/4.32	thf(72,plain,((! [A:assn,B:produc3658429121746597890et_nat]: ((rep_assn @ A @ B) => (in_range @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[19])).
13.54/4.32	thf(9,axiom,((minus_minus_assn = (^ [A:assn,B:assn]: (inf_inf_assn @ A @ (uminus_uminus_assn @ B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1841_minus__assn__def)).
13.54/4.32	thf(43,plain,(((minus_minus_assn) = (^ [A:assn,B:assn]: (inf_inf_assn @ A @ (uminus_uminus_assn @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[9])).
13.54/4.32	thf(90,plain,(($false)),inference(e,[status(thm)],[29,84,74,60,53,77,27,81,35,48,40,58,79,62,37,25,32,45,64,50,67,72,43])).
13.54/4.32	% SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
13.54/4.32	% [INFO] 	 Killing All external provers ... 
13.54/4.37	EOF