%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : GRP124-4.005 : TPTP v9.0.0. Bugfixed v1.2.1. % 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 05:07:05 AM UTC 2025 % Result : Satisfiable 0.50s 0.72s % Output : Model 0.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : GRP124-4.005 : TPTP v9.0.0. Bugfixed v1.2.1. % 0.04/0.12 % Command : run_E %s %d THM % 0.11/0.33 % Computer : n001.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 15:45:48 EDT 2025 % 0.11/0.33 % CPUTime : % 0.50/0.72 % SZS status Satisfiable % 0.50/0.72 % SZS output start Model % 0.50/0.72 tff(tptp_fun__i_val_1_type, type, ( % 0.50/0.72 tptp_fun__i_val_1: $i)). % 0.50/0.72 tff(e_2_type, type, ( % 0.50/0.72 e_2: $i)). % 0.50/0.72 tff(tptp_fun__i_val_3_type, type, ( % 0.50/0.72 tptp_fun__i_val_3: $i)). % 0.50/0.72 tff(e_4_type, type, ( % 0.50/0.72 e_4: $i)). % 0.50/0.72 tff(tptp_fun__i_val_2_type, type, ( % 0.50/0.72 tptp_fun__i_val_2: $i)). % 0.50/0.72 tff(e_3_type, type, ( % 0.50/0.72 e_3: $i)). % 0.50/0.72 tff(tptp_fun__i_val_0_type, type, ( % 0.50/0.72 tptp_fun__i_val_0: $i)). % 0.50/0.72 tff(e_1_type, type, ( % 0.50/0.72 e_1: $i)). % 0.50/0.72 tff(tptp_fun__i_val_4_type, type, ( % 0.50/0.72 tptp_fun__i_val_4: $i)). % 0.50/0.72 tff(e_5_type, type, ( % 0.50/0.72 e_5: $i)). % 0.50/0.72 tff(group_element_type, type, ( % 0.50/0.72 group_element: $i > $o)). % 0.50/0.72 tff(product_type, type, ( % 0.50/0.72 product: ( $i * $i * $i ) > $o)). % 0.50/0.72 tff(equalish_type, type, ( % 0.50/0.72 equalish: ( $i * $i ) > $o)). % 0.50/0.72 tff(formula1, axiom, % 0.50/0.72 e_2 = $i!val!1). % 0.50/0.72 tff(formula2, axiom, % 0.50/0.72 e_4 = $i!val!3). % 0.50/0.72 tff(formula3, axiom, % 0.50/0.72 e_3 = $i!val!2). % 0.50/0.72 tff(formula4, axiom, % 0.50/0.72 e_1 = $i!val!0). % 0.50/0.72 tff(formula5, axiom, % 0.50/0.72 e_5 = $i!val!4). % 0.50/0.72 tff(formula6, axiom, % 0.50/0.72 ![X0: $i] : (group_element(X0) <=> $true)). % 0.50/0.72 tff(formula7, axiom, % 0.50/0.73 ![X0: $i, X1: $i, X2: $i] : (product(X0, X1, X2) <=> (((X2 = $i!val!2) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!4)) & (X1 = $i!val!2) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!4)) & (X0 = $i!val!2) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!4))) | ((X2 = $i!val!1) & (~(X2 = $i!val!2)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!4)) & (X1 = $i!val!4) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!4))) | ((X2 = $i!val!4) & (X1 = $i!val!1) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!4)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!4))) | ((X2 = $i!val!1) & (~(X2 = $i!val!2)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!4)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!4)) & (X0 = $i!val!2) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!4))) | ((X2 = $i!val!1) & (~(X2 = $i!val!2)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!4)) & (X1 = $i!val!0) & (~(X1 = $i!val!4)) & (X0 = $i!val!4)) | ((~(X2 = $i!val!1)) & (~(X2 = $i!val!2)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!4)) & (X1 = $i!val!0) & (~(X1 = $i!val!4)) & (X0 = $i!val!1) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!4))) | ((X2 = $i!val!4) & (X1 = $i!val!0) & (~(X1 = $i!val!4)) & (X0 = $i!val!2) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!4))) | ((X2 = $i!val!4) & (X1 = $i!val!2) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!4)) & (X0 = $i!val!1) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!4))) | ((X2 = $i!val!1) & (~(X2 = $i!val!2)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!4)) & (X1 = $i!val!2) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!4)) & (X0 = $i!val!0) & (~(X0 = $i!val!4))) | ((~(X2 = $i!val!1)) & (~(X2 = $i!val!2)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!4)) & (X1 = $i!val!1) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!4)) & (X0 = $i!val!2) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!4))) | ((X2 = $i!val!2) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!4)) & (X1 = $i!val!1) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!4)) & (X0 = $i!val!0) & (~(X0 = $i!val!4))) | ((X2 = $i!val!2) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!4)) & (X1 = $i!val!4) & (X0 = $i!val!1) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!4))) | ((X2 = $i!val!0) & (~(X2 = $i!val!4)) & (X1 = $i!val!1) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!4)) & (X0 = $i!val!4)) | ((X2 = $i!val!2) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!4)) & (X1 = $i!val!0) & (~(X1 = $i!val!4)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!4))) | ((X2 = $i!val!4) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!4)) & (X0 = $i!val!0) & (~(X0 = $i!val!4))) | ((X2 = $i!val!0) & (~(X2 = $i!val!4)) & (X1 = $i!val!4) & (X0 = $i!val!2) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!4))) | ((X2 = $i!val!2) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!4)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!4)) & (X0 = $i!val!4)) | ((X2 = $i!val!0) & (~(X2 = $i!val!4)) & (X1 = $i!val!2) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!4)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!4))) | ((X2 = $i!val!0) & (~(X2 = $i!val!4)) & (X1 = $i!val!0) & (~(X1 = $i!val!4)) & (X0 = $i!val!0) & (~(X0 = $i!val!4))) | ((~(X2 = $i!val!1)) & (~(X2 = $i!val!2)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!4)) & (X1 = $i!val!2) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!4)) & (X0 = $i!val!4)) | ((~(X2 = $i!val!1)) & (~(X2 = $i!val!2)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!4)) & (X1 = $i!val!4) & (X0 = $i!val!0) & (~(X0 = $i!val!4))) | ((X2 = $i!val!0) & (~(X2 = $i!val!4)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!4)) & (X0 = $i!val!1) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!4))) | ((X2 = $i!val!1) & (~(X2 = $i!val!2)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!4)) & (X1 = $i!val!1) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!4)) & (X0 = $i!val!1) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!4))) | ((~(X2 = $i!val!1)) & (~(X2 = $i!val!2)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!4)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!4)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!4))) | ((X2 = $i!val!4) & (X1 = $i!val!4) & (X0 = $i!val!4))))). % 0.50/0.73 tff(formula8, axiom, % 0.50/0.73 ![X0: $i, X1: $i] : (equalish(X0, X1) <=> (((X1 = $i!val!0) & (~(X1 = $i!val!4)) & (X0 = $i!val!0) & (~(X0 = $i!val!4))) | ((X1 = $i!val!1) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!4)) & (X0 = $i!val!1) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!4))) | ((X1 = $i!val!2) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!4)) & (X0 = $i!val!2) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!4))) | ((~(X1 = $i!val!1)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!4)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!4))) | ((X1 = $i!val!4) & (X0 = $i!val!4))))). % 0.50/0.73 % SZS output end Model % 0.50/0.73 % E exiting %------------------------------------------------------------------------------