%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : GRP395-1 : TPTP v9.0.0. Released v2.5.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n010.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 0.19s 0.46s % Output : Model 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GRP395-1 : TPTP v9.0.0. Released v2.5.0. % 0.11/0.12 % Command : run_E %s %d THM % 0.11/0.33 % Computer : n010.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 300 % 0.11/0.33 % DateTime : Thu Jun 19 16:02:56 EDT 2025 % 0.11/0.33 % CPUTime : % 0.19/0.46 % SZS status Satisfiable % 0.19/0.46 % SZS output start Model % 0.19/0.46 tff(tptp_fun__i_val_1_type, type, ( % 0.19/0.46 tptp_fun__i_val_1: $i)). % 0.19/0.46 tff(tptp_fun__i_val_2_type, type, ( % 0.19/0.46 tptp_fun__i_val_2: $i)). % 0.19/0.46 tff(tptp_fun__i_val_0_type, type, ( % 0.19/0.46 tptp_fun__i_val_0: $i)). % 0.19/0.46 tff(inverse_type, type, ( % 0.19/0.46 inverse: ( $i * $i ) > $i)). % 0.19/0.46 tff(identity_for_type, type, ( % 0.19/0.46 identity_for: $i > $i)). % 0.19/0.46 tff(multiply_type, type, ( % 0.19/0.46 multiply: ( $i * $i * $i ) > $i)). % 0.19/0.46 tff(group_member_type, type, ( % 0.19/0.46 group_member: ( $i * $i ) > $o)). % 0.19/0.46 tff(product_type, type, ( % 0.19/0.46 product: ( $i * $i * $i * $i ) > $o)). % 0.19/0.46 tff(formula1, axiom, % 0.19/0.46 ![X0: $i, X1: $i] : (inverse(X0, X1) = ite_t((X0 = $i!val!1), $i!val!0, ite_t(((X0 = $i!val!2) & (~(X0 = $i!val!1))), $i!val!2, $i!val!1)))). % 0.19/0.46 tff(formula2, axiom, % 0.19/0.46 ![X0: $i] : (identity_for(X0) = $i!val!2)). % 0.19/0.46 tff(formula3, axiom, % 0.19/0.46 ![X0: $i, X1: $i, X2: $i] : (multiply(X0, X1, X2) = $i!val!2)). % 0.19/0.46 tff(formula4, axiom, % 0.19/0.46 ![X0: $i, X1: $i] : (group_member(X0, X1) <=> ((X1 = $i!val!2) & (~(X1 = $i!val!1))))). % 0.19/0.46 tff(formula5, axiom, % 0.19/0.46 ![X0: $i, X1: $i, X2: $i, X3: $i] : (product(X0, X1, X2, X3) <=> (((X2 = $i!val!1) & (X1 = $i!val!2) & (~(X1 = $i!val!1)) & (X0 = $i!val!1)) | ((~(X2 = $i!val!2)) & (~(X2 = $i!val!1)) & (X1 = $i!val!1) & (X0 = $i!val!2) & (~(X0 = $i!val!1))) | ((X2 = $i!val!1) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!1)) & (X0 = $i!val!2) & (~(X0 = $i!val!1))) | ((~(X2 = $i!val!2)) & (~(X2 = $i!val!1)) & (X1 = $i!val!2) & (~(X1 = $i!val!1)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!1))) | ((X2 = $i!val!2) & (~(X2 = $i!val!1)) & (X1 = $i!val!2) & (~(X1 = $i!val!1)) & (X0 = $i!val!2) & (~(X0 = $i!val!1))) | ((X2 = $i!val!2) & (~(X2 = $i!val!1)) & (X1 = $i!val!1) & (X0 = $i!val!1)) | ((X2 = $i!val!2) & (~(X2 = $i!val!1)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!1)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!1)))))). % 0.19/0.46 % SZS output end Model % 0.19/0.46 % E exiting %------------------------------------------------------------------------------