%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : CAT019-4 : TPTP v9.0.0. Released v1.0.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n007.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 0.13s 0.38s % Output : Model 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : CAT019-4 : TPTP v9.0.0. Released v1.0.0. % 0.12/0.12 % Command : run_E %s %d THM % 0.13/0.34 % Computer : n007.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Thu Jun 19 11:54:19 EDT 2025 % 0.13/0.34 % CPUTime : % 0.13/0.38 % SZS status Satisfiable % 0.13/0.38 % SZS output start Model % 0.13/0.38 tff(tptp_fun__i_val_1_type, type, ( % 0.13/0.38 tptp_fun__i_val_1: $i)). % 0.13/0.38 tff(b_type, type, ( % 0.13/0.38 b: $i)). % 0.13/0.38 tff(tptp_fun__i_val_0_type, type, ( % 0.13/0.38 tptp_fun__i_val_0: $i)). % 0.13/0.38 tff(a_type, type, ( % 0.13/0.38 a: $i)). % 0.13/0.38 tff(codomain_type, type, ( % 0.13/0.38 codomain: $i > $i)). % 0.13/0.38 tff(there_exists_type, type, ( % 0.13/0.38 there_exists: $i > $o)). % 0.13/0.38 tff(compose_type, type, ( % 0.13/0.38 compose: ( $i * $i ) > $i)). % 0.13/0.38 tff(equivalent_type, type, ( % 0.13/0.38 equivalent: ( $i * $i ) > $o)). % 0.13/0.38 tff(domain_type, type, ( % 0.13/0.38 domain: $i > $i)). % 0.13/0.38 tff(formula1, axiom, % 0.13/0.38 b = $i!val!1). % 0.13/0.38 tff(formula2, axiom, % 0.13/0.38 a = $i!val!0). % 0.13/0.38 tff(formula3, axiom, % 0.13/0.38 ![X0: $i] : (codomain(X0) = $i!val!1)). % 0.13/0.38 tff(formula4, axiom, % 0.13/0.38 ![X0: $i] : (there_exists(X0) <=> $false)). % 0.13/0.38 tff(formula5, axiom, % 0.13/0.38 ![X0: $i, X1: $i] : (compose(X0, X1) = ite_t((X1 = codomain(X0)), X0, X1))). % 0.13/0.38 tff(formula6, axiom, % 0.13/0.38 ![X0: $i, X1: $i] : (equivalent(X0, X1) <=> $false)). % 0.13/0.38 tff(formula7, axiom, % 0.13/0.38 ![X0: $i] : (domain(X0) = $i!val!1)). % 0.13/0.38 % SZS output end Model % 0.13/0.38 % E exiting %------------------------------------------------------------------------------