%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : TOP003-2 : TPTP v9.0.0. Released v1.0.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n015.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 05:42:36 AM UTC 2025 % Result : Satisfiable 0.19s 0.37s % Output : Model 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.02/0.11 % Problem : TOP003-2 : TPTP v9.0.0. Released v1.0.0. % 0.02/0.11 % Command : run_E %s %d THM % 0.11/0.32 % Computer : n015.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Fri Jun 20 13:52:11 EDT 2025 % 0.11/0.32 % CPUTime : % 0.19/0.37 % SZS status Satisfiable % 0.19/0.37 % SZS output start Model % 0.19/0.37 tff(tptp_fun__i_val_0_type, type, ( % 0.19/0.37 tptp_fun__i_val_0: $i)). % 0.19/0.37 tff(cx_type, type, ( % 0.19/0.37 cx: $i)). % 0.19/0.37 tff(tptp_fun__i_val_1_type, type, ( % 0.19/0.37 tptp_fun__i_val_1: $i)). % 0.19/0.37 tff(f_type, type, ( % 0.19/0.37 f: $i)). % 0.19/0.37 tff(subset_sets_type, type, ( % 0.19/0.37 subset_sets: ( $i * $i ) > $o)). % 0.19/0.37 tff(tptp_fun__i_val_6_type, type, ( % 0.19/0.37 tptp_fun__i_val_6: $i)). % 0.19/0.37 tff(tptp_fun__i_val_5_type, type, ( % 0.19/0.37 tptp_fun__i_val_5: $i)). % 0.19/0.37 tff(tptp_fun__i_val_3_type, type, ( % 0.19/0.37 tptp_fun__i_val_3: $i)). % 0.19/0.37 tff(element_of_collection_type, type, ( % 0.19/0.37 element_of_collection: ( $i * $i ) > $o)). % 0.19/0.37 tff(tptp_fun__i_val_2_type, type, ( % 0.19/0.37 tptp_fun__i_val_2: $i)). % 0.19/0.37 tff(top_of_basis_type, type, ( % 0.19/0.37 top_of_basis: $i > $i)). % 0.19/0.37 tff(basis_type, type, ( % 0.19/0.37 basis: ( $i * $i ) > $o)). % 0.19/0.37 tff(union_of_members_type, type, ( % 0.19/0.37 union_of_members: $i > $i)). % 0.19/0.37 tff(element_of_set_type, type, ( % 0.19/0.37 element_of_set: ( $i * $i ) > $o)). % 0.19/0.37 tff(tptp_fun__i_val_4_type, type, ( % 0.19/0.37 tptp_fun__i_val_4: $i)). % 0.19/0.37 tff(f11_type, type, ( % 0.19/0.37 f11: ( $i * $i ) > $i)). % 0.19/0.37 tff(f1_type, type, ( % 0.19/0.37 f1: ( $i * $i ) > $i)). % 0.19/0.37 tff(equal_sets_type, type, ( % 0.19/0.37 equal_sets: ( $i * $i ) > $o)). % 0.19/0.37 tff(formula1, axiom, % 0.19/0.37 cx = $i!val!0). % 0.19/0.37 tff(formula2, axiom, % 0.19/0.37 f = $i!val!1). % 0.19/0.37 tff(formula3, axiom, % 0.19/0.37 ![X0: $i, X1: $i] : (subset_sets(X0, X1) <=> $true)). % 0.19/0.37 tff(formula4, axiom, % 0.19/0.37 ![X0: $i, X1: $i] : (element_of_collection(X0, X1) <=> (~((~(X1 = $i!val!3)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X0 = $i!val!1)))))). % 0.19/0.37 tff(formula5, axiom, % 0.19/0.37 ![X0: $i] : (top_of_basis(X0) = $i!val!2)). % 0.19/0.37 tff(formula6, axiom, % 0.19/0.37 ![X0: $i, X1: $i] : (basis(X0, X1) <=> $true)). % 0.19/0.37 tff(formula7, axiom, % 0.19/0.37 union_of_members($i!val!1) = $i!val!3). % 0.19/0.37 tff(formula8, axiom, % 0.19/0.37 ![X0: $i] : ((~(($i!val!1 = X0))) => (union_of_members(X0) = $i!val!6))). % 0.19/0.37 tff(formula9, axiom, % 0.19/0.37 ![X0: $i, X1: $i] : (element_of_set(X0, X1) <=> $true)). % 0.19/0.37 tff(formula10, axiom, % 0.19/0.37 ![X0: $i, X1: $i] : (f11(X0, X1) = $i!val!4)). % 0.19/0.37 tff(formula11, axiom, % 0.19/0.37 ![X0: $i, X1: $i] : (f1(X0, X1) = $i!val!5)). % 0.19/0.37 tff(formula12, axiom, % 0.19/0.37 ![X0: $i, X1: $i] : (equal_sets(X0, X1) <=> $true)). % 0.19/0.37 % SZS output end Model % 0.19/0.37 % E exiting %------------------------------------------------------------------------------