%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : RNG043-1 : TPTP v9.0.0. Released v2.5.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n006.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 05:23:59 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 % 0.11/0.12 % Problem : RNG043-1 : TPTP v9.0.0. Released v2.5.0. % 0.11/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n006.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Fri Jun 20 03:15:20 EDT 2025 % 0.12/0.33 % CPUTime : % 0.19/0.38 % SZS status Satisfiable % 0.19/0.38 % SZS output start Model % 0.19/0.38 tff(tptp_fun__i_val_0_type, type, ( % 0.19/0.38 tptp_fun__i_val_0: $i)). % 0.19/0.38 tff(additive_identity_type, type, ( % 0.19/0.38 additive_identity: $i)). % 0.19/0.38 tff(additive_inverse_type, type, ( % 0.19/0.38 additive_inverse: $i > $i)). % 0.19/0.38 tff(add_type, type, ( % 0.19/0.38 add: ( $i * $i ) > $i)). % 0.19/0.38 tff(multiply_type, type, ( % 0.19/0.38 multiply: ( $i * $i ) > $i)). % 0.19/0.38 tff(associator_type, type, ( % 0.19/0.38 associator: ( $i * $i * $i ) > $i)). % 0.19/0.38 tff(commutator_type, type, ( % 0.19/0.38 commutator: ( $i * $i ) > $i)). % 0.19/0.38 tff(formula1, axiom, % 0.19/0.38 additive_identity = $i!val!0). % 0.19/0.38 tff(formula2, axiom, % 0.19/0.38 ![X0: $i] : (additive_inverse(X0) = $i!val!0)). % 0.19/0.38 tff(formula3, axiom, % 0.19/0.38 ![X0: $i, X1: $i] : (add(X0, X1) = ite_t(((X0 = additive_inverse(X1)) | (X1 = additive_inverse(X0))), $i!val!0, ite_t((X0 = $i!val!0), X1, X0)))). % 0.19/0.38 tff(formula4, axiom, % 0.19/0.38 ![X0: $i, X1: $i] : (multiply(X0, X1) = $i!val!0)). % 0.19/0.38 tff(formula5, axiom, % 0.19/0.38 ![X0: $i, X1: $i, X2: $i] : (associator(X0, X1, X2) = add(multiply(multiply(X2, X1), X0), additive_inverse(multiply(X2, multiply(X1, X0)))))). % 0.19/0.38 tff(formula6, axiom, % 0.19/0.38 ![X0: $i, X1: $i] : (commutator(X0, X1) = add(multiply(X0, X1), additive_inverse(multiply(X1, X0))))). % 0.19/0.38 % SZS output end Model % 0.19/0.38 % E exiting %------------------------------------------------------------------------------