%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : CAT020-1 : 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 05:00:25 AM UTC 2025 % Result : Satisfiable 0.21s 0.43s % Output : Model 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : CAT020-1 : TPTP v9.0.0. Released v2.5.0. % 0.03/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n001.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 : Thu Jun 19 11:57:33 EDT 2025 % 0.12/0.34 % CPUTime : % 0.21/0.43 % SZS status Satisfiable % 0.21/0.43 % SZS output start Model % 0.21/0.43 tff(tptp_fun__i_val_2_type, type, ( % 0.21/0.43 tptp_fun__i_val_2: $i)). % 0.21/0.43 tff(tptp_fun__i_val_0_type, type, ( % 0.21/0.43 tptp_fun__i_val_0: $i)). % 0.21/0.43 tff(defined_type, type, ( % 0.21/0.43 defined: ( $i * $i ) > $o)). % 0.21/0.43 tff(identity_map_type, type, ( % 0.21/0.43 identity_map: $i > $o)). % 0.21/0.43 tff(compose_type, type, ( % 0.21/0.43 compose: ( $i * $i ) > $i)). % 0.21/0.43 tff(tptp_fun__i_val_1_type, type, ( % 0.21/0.43 tptp_fun__i_val_1: $i)). % 0.21/0.43 tff(domain_type, type, ( % 0.21/0.43 domain: $i > $i)). % 0.21/0.43 tff(codomain_type, type, ( % 0.21/0.43 codomain: $i > $i)). % 0.21/0.43 tff(product_type, type, ( % 0.21/0.43 product: ( $i * $i * $i ) > $o)). % 0.21/0.43 tff(formula1, axiom, % 0.21/0.43 ![X0: $i, X1: $i] : (defined(X0, X1) <=> (((X1 = $i!val!0) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!0) & (~(X0 = $i!val!2))) | ((~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!2)) | ((X1 = $i!val!2) & (X0 = $i!val!2))))). % 0.21/0.43 tff(formula2, axiom, % 0.21/0.43 ![X0: $i] : (identity_map(X0) <=> (~((~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))))). % 0.21/0.43 tff(formula3, axiom, % 0.21/0.43 compose($i!val!2, $i!val!2) = $i!val!2). % 0.21/0.43 tff(formula4, axiom, % 0.21/0.43 ![X0: $i, X1: $i] : ((~(($i!val!2 = X0) & ($i!val!2 = X1))) => (compose(X0, X1) = ite_t(((X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!0) & (~(X0 = $i!val!2))), $i!val!0, $i!val!1)))). % 0.21/0.43 tff(formula5, axiom, % 0.21/0.43 ![X0: $i] : (domain(X0) = ite_t(((X0 = $i!val!0) & (~(X0 = $i!val!2))), $i!val!0, $i!val!2))). % 0.21/0.43 tff(formula6, axiom, % 0.21/0.43 codomain($i!val!2) = $i!val!2). % 0.21/0.43 tff(formula7, axiom, % 0.21/0.43 ![X0: $i] : ((~(($i!val!2 = X0))) => (codomain(X0) = $i!val!0))). % 0.21/0.43 tff(formula8, axiom, % 0.21/0.43 ![X0: $i, X1: $i, X2: $i] : (product(X0, X1, X2) <=> (((~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!2) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X2 = $i!val!0) & (~(X2 = $i!val!2)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X2 = $i!val!0) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!0) & (~(X0 = $i!val!2))) | ((X2 = $i!val!2) & (X1 = $i!val!2) & (X0 = $i!val!2))))). % 0.21/0.43 % SZS output end Model % 0.21/0.43 % E exiting %------------------------------------------------------------------------------