%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : LAT055-1 : TPTP v9.0.0. Released v2.5.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n004.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 05:13:48 AM UTC 2025 % Result : Satisfiable 0.19s 0.53s % Output : Model 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : LAT055-1 : TPTP v9.0.0. Released v2.5.0. % 0.11/0.12 % Command : run_E %s %d THM % 0.11/0.32 % Computer : n004.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 19:28:23 EDT 2025 % 0.11/0.33 % CPUTime : % 0.19/0.53 % SZS status Satisfiable % 0.19/0.53 % SZS output start Model % 0.19/0.53 tff(tptp_fun__i_val_2_type, type, ( % 0.19/0.53 tptp_fun__i_val_2: $i)). % 0.19/0.53 tff(n1_type, type, ( % 0.19/0.53 n1: $i)). % 0.19/0.53 tff(tptp_fun__i_val_1_type, type, ( % 0.19/0.53 tptp_fun__i_val_1: $i)). % 0.19/0.53 tff(n0_type, type, ( % 0.19/0.53 n0: $i)). % 0.19/0.53 tff(tptp_fun__i_val_0_type, type, ( % 0.19/0.53 tptp_fun__i_val_0: $i)). % 0.19/0.53 tff(join_type, type, ( % 0.19/0.53 join: ( $i * $i * $i ) > $o)). % 0.19/0.53 tff(meet_of_type, type, ( % 0.19/0.53 meet_of: ( $i * $i ) > $i)). % 0.19/0.53 tff(meet_type, type, ( % 0.19/0.53 meet: ( $i * $i * $i ) > $o)). % 0.19/0.53 tff(join_of_type, type, ( % 0.19/0.53 join_of: ( $i * $i ) > $i)). % 0.19/0.53 tff(formula1, axiom, % 0.19/0.53 n1 = $i!val!2). % 0.19/0.53 tff(formula2, axiom, % 0.19/0.53 n0 = $i!val!1). % 0.19/0.53 tff(formula3, axiom, % 0.19/0.53 ![X0: $i, X1: $i, X2: $i] : (join(X0, X1, X2) <=> (((~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0))) | ((X2 = $i!val!0) & (X1 = $i!val!1) & (~(X1 = $i!val!0)) & (X0 = $i!val!0)) | ((X2 = $i!val!0) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0))) | ((X2 = $i!val!1) & (~(X2 = $i!val!0)) & (X1 = $i!val!0) & (X0 = $i!val!0)) | ((~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (X1 = $i!val!0) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0))) | ((X2 = $i!val!1) & (~(X2 = $i!val!0)) & (X1 = $i!val!1) & (~(X1 = $i!val!0)) & (X0 = $i!val!1) & (~(X0 = $i!val!0))) | ((~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (X1 = $i!val!1) & (~(X1 = $i!val!0)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0))) | ((X2 = $i!val!1) & (~(X2 = $i!val!0)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0))) | ((X2 = $i!val!0) & (X1 = $i!val!0) & (X0 = $i!val!0))))). % 0.19/0.53 tff(formula4, axiom, % 0.19/0.53 ![X0: $i, X1: $i] : (meet_of(X0, X1) = ite_t((((~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (X0 = $i!val!0)) | ((X1 = $i!val!0) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)))), $i!val!0, ite_t(((~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0))), $i!val!2, ite_t(((X1 = $i!val!0) & (X0 = $i!val!0)), $i!val!0, $i!val!1))))). % 0.19/0.53 tff(formula5, axiom, % 0.19/0.53 ![X0: $i, X1: $i, X2: $i] : (meet(X0, X1, X2) <=> (((~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0))) | ((X2 = $i!val!1) & (~(X2 = $i!val!0)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (X0 = $i!val!1) & (~(X0 = $i!val!0))) | ((X2 = $i!val!0) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (X0 = $i!val!0)) | ((X2 = $i!val!1) & (~(X2 = $i!val!0)) & (X1 = $i!val!0) & (X0 = $i!val!1) & (~(X0 = $i!val!0))) | ((X2 = $i!val!0) & (X1 = $i!val!1) & (~(X1 = $i!val!0)) & (X0 = $i!val!1) & (~(X0 = $i!val!0))) | ((~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (X1 = $i!val!0) & (X0 = $i!val!0)) | ((X2 = $i!val!1) & (~(X2 = $i!val!0)) & (X1 = $i!val!1) & (~(X1 = $i!val!0)) & (X0 = $i!val!1) & (~(X0 = $i!val!0))) | ((~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (X1 = $i!val!1) & (~(X1 = $i!val!0)) & (X0 = $i!val!1) & (~(X0 = $i!val!0))) | ((X2 = $i!val!0) & (X1 = $i!val!0) & (X0 = $i!val!0))))). % 0.19/0.53 tff(formula6, axiom, % 0.19/0.53 ![X0: $i, X1: $i] : (join_of(X0, X1) = ite_t((((X1 = $i!val!0) & (X0 = $i!val!1) & (~(X0 = $i!val!0))) | ((X1 = $i!val!1) & (~(X1 = $i!val!0)) & (X0 = $i!val!0))), $i!val!0, ite_t(((X1 = $i!val!1) & (~(X1 = $i!val!0)) & (X0 = $i!val!1) & (~(X0 = $i!val!0))), $i!val!1, ite_t(((X1 = $i!val!0) & (X0 = $i!val!0)), $i!val!0, $i!val!2))))). % 0.19/0.53 % SZS output end Model % 0.19/0.53 % E exiting %------------------------------------------------------------------------------