0.10/0.12	% Problem    : SLH0267^1 : TPTP v8.2.0. Released v8.2.0.
0.10/0.12	% Command    : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
0.13/0.33	Computer   : n006.cluster.edu
0.13/0.33	Model      : x86_64 x86_64
0.13/0.33	CPUModel   : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.33	RAMPerCPU  : 8042.1875MB
0.13/0.33	OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.33	% CPULimit   : 30
0.13/0.33	% DateTime   : Mon Jul  3 04:00:51 EDT 2023
0.13/0.34	% CPUTime    : 
5.50/5.74	% SZS status Theorem
5.50/5.74	% Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
5.50/5.74	% Inferences: 189
5.50/5.74	% SZS output start Proof
5.50/5.74	thf(ty_risk_Free_account, type, risk_Free_account : $tType).
5.50/5.74	thf(ty_nat, type, nat : $tType).
5.50/5.74	thf(ty_real, type, real : $tType).
5.50/5.74	thf(ty_a, type, a : real).
5.50/5.74	thf(ty_risk_Free_just_cash, type, risk_Free_just_cash : (real>risk_Free_account)).
5.50/5.74	thf(ty_plus_plus_real, type, plus_plus_real : (real>real>real)).
5.50/5.74	thf(ty_eigen__0, type, eigen__0 : nat).
5.50/5.74	thf(ty_b, type, b : real).
5.50/5.74	thf(ty_plus_p1863581527469039996ccount, type, plus_p1863581527469039996ccount : (risk_Free_account>risk_Free_account>risk_Free_account)).
5.50/5.74	thf(ty_risk_F170160801229183585ccount, type, risk_F170160801229183585ccount : (risk_Free_account>nat>real)).
5.50/5.74	thf(sP1,plain,sP1 <=> (![X1:nat]:(((risk_F170160801229183585ccount @ ((plus_p1863581527469039996ccount @ (risk_Free_just_cash @ a)) @ (risk_Free_just_cash @ b))) @ X1) = ((risk_F170160801229183585ccount @ (risk_Free_just_cash @ ((plus_plus_real @ a) @ b))) @ X1))),introduced(definition,[new_symbols(definition,[sP1])])).
5.50/5.74	thf(sP2,plain,sP2 <=> (((risk_F170160801229183585ccount @ ((plus_p1863581527469039996ccount @ (risk_Free_just_cash @ a)) @ (risk_Free_just_cash @ b))) @ eigen__0) = ((risk_F170160801229183585ccount @ (risk_Free_just_cash @ ((plus_plus_real @ a) @ b))) @ eigen__0)),introduced(definition,[new_symbols(definition,[sP2])])).
5.50/5.74	thf(conj_0,conjecture,((risk_F170160801229183585ccount @ ((plus_p1863581527469039996ccount @ (risk_Free_just_cash @ a)) @ (risk_Free_just_cash @ b))) = (risk_F170160801229183585ccount @ (risk_Free_just_cash @ ((plus_plus_real @ a) @ b))))).
5.50/5.74	thf(h0,negated_conjecture,(~(((risk_F170160801229183585ccount @ ((plus_p1863581527469039996ccount @ (risk_Free_just_cash @ a)) @ (risk_Free_just_cash @ b))) = (risk_F170160801229183585ccount @ (risk_Free_just_cash @ ((plus_plus_real @ a) @ b)))))),inference(assume_negation,[status(cth)],[conj_0])).
5.50/5.74	thf(h1,assumption,(~(sP1)),introduced(assumption,[])).
5.50/5.74	thf(h2,assumption,(~(sP2)),introduced(assumption,[])).
5.50/5.74	thf(1,plain,(~(sP1) | sP2),inference(all_rule,[status(thm)],[])).
5.50/5.74	thf(fact_0__092_060open_062_092_060And_062x_O_A_092_060pi_062_A_Ijust__cash_Aa_A_L_Ajust__cash_Ab_J_Ax_A_061_A_092_060pi_062_A_Ijust__cash_A_Ia_A_L_Ab_J_J_Ax_092_060close_062,axiom,sP1).
5.50/5.74	thf(2,plain,$false,inference(prop_unsat,[status(thm),assumptions([h2,h1,h0])],[1,h2,fact_0__092_060open_062_092_060And_062x_O_A_092_060pi_062_A_Ijust__cash_Aa_A_L_Ajust__cash_Ab_J_Ax_A_061_A_092_060pi_062_A_Ijust__cash_A_Ia_A_L_Ab_J_J_Ax_092_060close_062])).
5.50/5.74	thf(3,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__0)],[h1,2,h2])).
5.50/5.74	thf(4,plain,$false,inference(tab_fe,[status(thm),assumptions([h0]),tab_fe(discharge,[h1])],[h0,3,h1])).
5.50/5.74	thf(0,theorem,((risk_F170160801229183585ccount @ ((plus_p1863581527469039996ccount @ (risk_Free_just_cash @ a)) @ (risk_Free_just_cash @ b))) = (risk_F170160801229183585ccount @ (risk_Free_just_cash @ ((plus_plus_real @ a) @ b)))),inference(contra,[status(thm),contra(discharge,[h0])],[4,h0])).
5.50/5.74	% SZS output end Proof
5.50/5.75	EOF