%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : CAT015-3 : TPTP v9.0.0. Released v1.0.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n002.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 05:00:23 AM UTC 2025 % Result : Satisfiable 0.20s 0.39s % Output : Model 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : CAT015-3 : TPTP v9.0.0. Released v1.0.0. % 0.03/0.13 % Command : run_E %s %d THM % 0.13/0.34 % Computer : n002.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 11:54:16 EDT 2025 % 0.13/0.34 % CPUTime : % 0.20/0.39 % SZS status Satisfiable % 0.20/0.39 % SZS output start Model % 0.20/0.39 tff(tptp_fun__i_val_0_type, type, ( % 0.20/0.39 tptp_fun__i_val_0: $i)). % 0.20/0.39 tff(codomain_type, type, ( % 0.20/0.39 codomain: $i > $i)). % 0.20/0.39 tff(compose_type, type, ( % 0.20/0.39 compose: ( $i * $i ) > $i)). % 0.20/0.39 tff(there_exists_type, type, ( % 0.20/0.39 there_exists: $i > $o)). % 0.20/0.39 tff(domain_type, type, ( % 0.20/0.39 domain: $i > $i)). % 0.20/0.39 tff(f1_type, type, ( % 0.20/0.39 f1: ( $i * $i ) > $i)). % 0.20/0.39 tff(equivalent_type, type, ( % 0.20/0.39 equivalent: ( $i * $i ) > $o)). % 0.20/0.39 tff(formula1, axiom, % 0.20/0.39 ![X0: $i] : (codomain(X0) = $i!val!0)). % 0.20/0.39 tff(formula2, axiom, % 0.20/0.39 ![X0: $i, X1: $i] : (compose(X0, X1) = ite_t((X1 = codomain(X0)), X0, X1))). % 0.20/0.39 tff(formula3, axiom, % 0.20/0.39 ![X0: $i] : (there_exists(X0) <=> $false)). % 0.20/0.39 tff(formula4, axiom, % 0.20/0.39 ![X0: $i] : (domain(X0) = $i!val!0)). % 0.20/0.39 tff(formula5, axiom, % 0.20/0.39 ![X0: $i, X1: $i] : (f1(X0, X1) = $i!val!0)). % 0.20/0.39 tff(formula6, axiom, % 0.20/0.39 ![X0: $i, X1: $i] : (equivalent(X0, X1) <=> $false)). % 0.20/0.39 % SZS output end Model % 0.20/0.39 % E exiting %------------------------------------------------------------------------------