%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : KLE182+1 : TPTP v9.0.0. Released v6.4.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n011.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 05:13:09 AM UTC 2025 % Result : Satisfiable 0.11s 0.37s % Output : Model 0.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : KLE182+1 : TPTP v9.0.0. Released v6.4.0. % 0.11/0.11 % Command : run_E %s %d THM % 0.11/0.32 % Computer : n011.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 : Thu Jun 19 19:09:12 EDT 2025 % 0.11/0.33 % CPUTime : % 0.11/0.37 % SZS status Satisfiable % 0.11/0.37 % SZS output start Model % 0.11/0.37 tff(tptp_fun__i_val_0_type, type, ( % 0.11/0.37 tptp_fun__i_val_0: $i)). % 0.11/0.37 tff(one_type, type, ( % 0.11/0.37 one: $i)). % 0.11/0.37 tff(zero_type, type, ( % 0.11/0.37 zero: $i)). % 0.11/0.37 tff(addition_type, type, ( % 0.11/0.37 addition: ( $i * $i ) > $i)). % 0.11/0.37 tff(star_type, type, ( % 0.11/0.37 star: $i > $i)). % 0.11/0.37 tff(multiplication_type, type, ( % 0.11/0.37 multiplication: ( $i * $i ) > $i)). % 0.11/0.37 tff(strong_iteration_type, type, ( % 0.11/0.37 strong_iteration: $i > $i)). % 0.11/0.37 tff(leq_type, type, ( % 0.11/0.37 leq: ( $i * $i ) > $o)). % 0.11/0.37 tff(formula1, axiom, % 0.11/0.37 one = $i!val!0). % 0.11/0.37 tff(formula2, axiom, % 0.11/0.37 zero = $i!val!0). % 0.11/0.37 tff(formula3, axiom, % 0.11/0.37 ![X0: $i, X1: $i] : (addition(X0, X1) = X1)). % 0.11/0.37 tff(formula4, axiom, % 0.11/0.37 ![X0: $i] : (star(X0) = $i!val!0)). % 0.11/0.37 tff(formula5, axiom, % 0.11/0.37 ![X0: $i, X1: $i] : (multiplication(X0, X1) = ite_t((X1 = $i!val!0), $i!val!0, X1))). % 0.11/0.37 tff(formula6, axiom, % 0.11/0.37 ![X0: $i] : (strong_iteration(X0) = $i!val!0)). % 0.11/0.37 tff(formula7, axiom, % 0.11/0.37 ![X0: $i, X1: $i] : (leq(X0, X1) <=> (addition(X1, X0) = X0))). % 0.11/0.37 % SZS output end Model % 0.11/0.37 % E exiting %------------------------------------------------------------------------------