%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : LCL413-1 : TPTP v9.3.1. Released v2.5.0. % Transfm : NO INFORMATION % Format : NO INFORMATION % Command : run_E %s %d THM % Computer : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 02:59:58 PM UTC 2026 % Result : Satisfiable 0.09s 0.43s % Output : Model 0.09s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL413-1 : TPTP v9.3.1. Released v2.5.0. % 0.00/0.03 % Command : run_E %s %d THM % 0.09/0.36 % Computer : n027.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 5 00:03:14 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.43 % SZS status Satisfiable % 0.09/0.43 % SZS output start Model % 0.09/0.43 tff(axiom_type, type, ( % 0.09/0.43 axiom: $i > $o)). % 0.09/0.43 tff(and_type, type, ( % 0.09/0.43 and: ( $i * $i ) > $i)). % 0.09/0.43 tff(implies_type, type, ( % 0.09/0.43 implies: ( $i * $i ) > $i)). % 0.09/0.43 tff(equivalent_type, type, ( % 0.09/0.43 equivalent: ( $i * $i ) > $i)). % 0.09/0.43 tff(theorem_type, type, ( % 0.09/0.43 theorem: $i > $o)). % 0.09/0.43 tff(not_type, type, ( % 0.09/0.43 not: $i > $i)). % 0.09/0.43 tff(or_type, type, ( % 0.09/0.43 or: ( $i * $i ) > $i)). % 0.09/0.43 tff(tptp_fun__i_val_0_type, type, ( % 0.09/0.43 tptp_fun__i_val_0: $i)). % 0.09/0.43 tff(formula1, axiom, % 0.09/0.43 ![X0: $i] : (axiom(X0) <=> $true)). % 0.09/0.43 tff(formula2, axiom, % 0.09/0.43 ![X0: $i, X1: $i] : (equivalent(X0, X1) = and(implies(X1, X0), implies(X0, X1)))). % 0.09/0.43 tff(formula3, axiom, % 0.09/0.43 ![X0: $i] : (theorem(X0) <=> $true)). % 0.09/0.43 tff(formula4, axiom, % 0.09/0.43 ![X0: $i, X1: $i] : (and(X0, X1) = not(or(not(X1), not(X0))))). % 0.09/0.43 tff(formula5, axiom, % 0.09/0.43 ![X0: $i, X1: $i] : (or(X0, X1) = $i!val!0)). % 0.09/0.43 tff(formula6, axiom, % 0.09/0.43 ![X0: $i, X1: $i] : (implies(X0, X1) = $i!val!0)). % 0.09/0.43 tff(formula7, axiom, % 0.09/0.43 ![X0: $i] : (not(X0) = $i!val!0)). % 0.09/0.43 % SZS output end Model % 0.09/0.43 % E exiting %------------------------------------------------------------------------------