%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : GRP394-2 : TPTP v9.0.0. Released v2.5.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n001.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 05:07:42 AM UTC 2025 % Result : Satisfiable 0.21s 0.39s % Output : Model 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : GRP394-2 : TPTP v9.0.0. Released v2.5.0. % 0.03/0.13 % Command : run_E %s %d THM % 0.13/0.35 % Computer : n001.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Thu Jun 19 16:05:18 EDT 2025 % 0.13/0.35 % CPUTime : % 0.21/0.39 % SZS status Satisfiable % 0.21/0.39 % SZS output start Model % 0.21/0.39 tff(tptp_fun__i_val_0_type, type, ( % 0.21/0.39 tptp_fun__i_val_0: $i)). % 0.21/0.39 tff(identity_type, type, ( % 0.21/0.39 identity: $i)). % 0.21/0.39 tff(inverse_type, type, ( % 0.21/0.39 inverse: $i > $i)). % 0.21/0.39 tff(multiply_type, type, ( % 0.21/0.39 multiply: ( $i * $i ) > $i)). % 0.21/0.39 tff(product_type, type, ( % 0.21/0.39 product: ( $i * $i * $i ) > $o)). % 0.21/0.39 tff(equalish_type, type, ( % 0.21/0.39 equalish: ( $i * $i ) > $o)). % 0.21/0.39 tff(formula1, axiom, % 0.21/0.39 identity = $i!val!0). % 0.21/0.39 tff(formula2, axiom, % 0.21/0.39 ![X0: $i] : (inverse(X0) = $i!val!0)). % 0.21/0.39 tff(formula3, axiom, % 0.21/0.39 ![X0: $i, X1: $i] : (multiply(X0, X1) = $i!val!0)). % 0.21/0.39 tff(formula4, axiom, % 0.21/0.39 ![X0: $i, X1: $i, X2: $i] : (product(X0, X1, X2) <=> $true)). % 0.21/0.39 tff(formula5, axiom, % 0.21/0.39 ![X0: $i, X1: $i] : (equalish(X0, X1) <=> $true)). % 0.21/0.39 % SZS output end Model % 0.21/0.39 % E exiting %------------------------------------------------------------------------------