%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : ITP209_10 : TPTP v9.0.0. Released v8.2.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Sat Jun 21 05:11:59 AM UTC 2025 % Result : Satisfiable 0.19s 0.38s % Output : Model 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : ITP209_10 : TPTP v9.0.0. Released v8.2.0. % 0.08/0.13 % Command : run_E %s %d THM % 0.12/0.34 % Computer : n002.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Jun 19 18:32:16 EDT 2025 % 0.12/0.34 % CPUTime : % 0.19/0.38 % SZS status Satisfiable % 0.19/0.38 % SZS output start Model % 0.19/0.38 tff(bool_val_1_type, type, ( % 0.19/0.38 bool_val_1: bool)). % 0.19/0.38 tff(fFalse_type, type, ( % 0.19/0.38 fFalse: bool)). % 0.19/0.38 tff(fun_a_fun_a_a_val_0_type, type, ( % 0.19/0.38 fun_a_fun_a_a_val_0: fun_a_fun_a_a)). % 0.19/0.38 tff(f_type, type, ( % 0.19/0.38 f: fun_a_fun_a_a)). % 0.19/0.38 tff(bool_val_0_type, type, ( % 0.19/0.38 bool_val_0: bool)). % 0.19/0.38 tff(fTrue_type, type, ( % 0.19/0.38 fTrue: bool)). % 0.19/0.38 tff(a_val_0_type, type, ( % 0.19/0.38 a_val_0: a)). % 0.19/0.38 tff(aa_a_a_type, type, ( % 0.19/0.38 aa_a_a: ( fun_a_a * a ) > a)). % 0.19/0.38 tff(fun_a_a_val_0_type, type, ( % 0.19/0.38 fun_a_a_val_0: fun_a_a)). % 0.19/0.38 tff(aa_a_fun_a_a_type, type, ( % 0.19/0.38 aa_a_fun_a_a: ( fun_a_fun_a_a * a ) > fun_a_a)). % 0.19/0.38 tff(syntax_ac_operator_a_type, type, ( % 0.19/0.38 syntax_ac_operator_a: fun_a_fun_a_a > $o)). % 0.19/0.38 tff(pp_type, type, ( % 0.19/0.38 pp: bool > $o)). % 0.19/0.38 tff(formula1, axiom, % 0.19/0.38 fFalse = bool!val!1). % 0.19/0.38 tff(formula2, axiom, % 0.19/0.38 f = fun_a_fun_a_a!val!0). % 0.19/0.38 tff(formula3, axiom, % 0.19/0.38 fTrue = bool!val!0). % 0.19/0.38 tff(formula4, axiom, % 0.19/0.38 ![X0: fun_a_a, X1: a] : (aa_a_a(X0, X1) = a!val!0)). % 0.19/0.38 tff(formula5, axiom, % 0.19/0.38 ![X0: fun_a_fun_a_a, X1: a] : (aa_a_fun_a_a(X0, X1) = fun_a_a!val!0)). % 0.19/0.38 tff(formula6, axiom, % 0.19/0.38 ![X0: fun_a_fun_a_a] : (syntax_ac_operator_a(X0) <=> $true)). % 0.19/0.38 tff(formula7, axiom, % 0.19/0.38 pp(bool!val!1) <=> $false). % 0.19/0.38 tff(formula8, axiom, % 0.19/0.38 ![X0: bool] : ((~((bool!val!1 = X0))) => (pp(X0) <=> $true))). % 0.19/0.38 % SZS output end Model % 0.19/0.38 % E exiting %------------------------------------------------------------------------------