%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : HAL007+1 : TPTP v9.0.0. Released v6.4.0. % 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 05:08:44 AM UTC 2025 % Result : Satisfiable 0.21s 0.40s % Output : Model 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : HAL007+1 : TPTP v9.0.0. Released v6.4.0. % 0.08/0.14 % Command : run_E %s %d THM % 0.14/0.35 % Computer : n002.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Thu Jun 19 17:12:31 EDT 2025 % 0.14/0.35 % CPUTime : % 0.21/0.40 % SZS status Satisfiable % 0.21/0.40 % SZS output start Model % 0.21/0.40 tff(element_type, type, ( % 0.21/0.40 element: ( $i * $i ) > $o)). % 0.21/0.40 tff(commute_type, type, ( % 0.21/0.40 commute: ( $i * $i * $i * $i ) > $o)). % 0.21/0.40 tff(tptp_fun__i_val_0_type, type, ( % 0.21/0.40 tptp_fun__i_val_0: $i)). % 0.21/0.40 tff(zero_type, type, ( % 0.21/0.40 zero: $i > $i)). % 0.21/0.40 tff(exact_type, type, ( % 0.21/0.40 exact: ( $i * $i ) > $o)). % 0.21/0.40 tff(morphism_type, type, ( % 0.21/0.40 morphism: ( $i * $i * $i ) > $o)). % 0.21/0.40 tff(injection_type, type, ( % 0.21/0.40 injection: $i > $o)). % 0.21/0.40 tff(subtract_type, type, ( % 0.21/0.40 subtract: ( $i * $i * $i ) > $i)). % 0.21/0.40 tff(apply_type, type, ( % 0.21/0.40 apply: ( $i * $i ) > $i)). % 0.21/0.40 tff(surjection_type, type, ( % 0.21/0.40 surjection: $i > $o)). % 0.21/0.40 tff(formula1, axiom, % 0.21/0.40 ![X0: $i, X1: $i] : (element(X0, X1) <=> $true)). % 0.21/0.40 tff(formula2, axiom, % 0.21/0.40 ![X0: $i, X1: $i, X2: $i, X3: $i] : (commute(X0, X1, X2, X3) <=> $true)). % 0.21/0.40 tff(formula3, axiom, % 0.21/0.40 ![X0: $i] : (zero(X0) = $i!val!0)). % 0.21/0.40 tff(formula4, axiom, % 0.21/0.40 ![X0: $i, X1: $i] : (exact(X0, X1) <=> $false)). % 0.21/0.40 tff(formula5, axiom, % 0.21/0.40 ![X0: $i, X1: $i, X2: $i] : (morphism(X0, X1, X2) <=> $false)). % 0.21/0.40 tff(formula6, axiom, % 0.21/0.40 ![X0: $i] : (injection(X0) <=> $false)). % 0.21/0.40 tff(formula7, axiom, % 0.21/0.40 ![X0: $i, X1: $i, X2: $i] : (subtract(X0, X1, X2) = $i!val!0)). % 0.21/0.40 tff(formula8, axiom, % 0.21/0.40 ![X0: $i, X1: $i] : (apply(X0, X1) = $i!val!0)). % 0.21/0.40 tff(formula9, axiom, % 0.21/0.40 ![X0: $i] : (surjection(X0) <=> $false)). % 0.21/0.40 % SZS output end Model % 0.21/0.40 % E exiting %------------------------------------------------------------------------------