%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : LCL407-2 : TPTP v9.3.1. Released v2.5.0. % Transfm : NO INFORMATION % Format : NO INFORMATION % Command : run_E %s %d THM % Computer : n003.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 02:59:57 PM UTC 2026 % Result : Satisfiable 0.13s 0.41s % Output : Model 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL407-2 : TPTP v9.3.1. Released v2.5.0. % 0.00/0.03 % Command : run_E %s %d THM % 0.07/0.35 % Computer : n003.cluster.edu % 0.07/0.35 % Model : x86_64 x86_64 % 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.35 % Memory : 8046.5625MB % 0.07/0.35 % OS : Linux 6.8.0-71-generic % 0.07/0.35 % CPULimit : 300 % 0.07/0.35 % WCLimit : 300 % 0.07/0.35 % DateTime : Fri Sep 4 14:28:06 UTC 2026 % 0.07/0.35 % CPUTime : % 0.13/0.41 % SZS status Satisfiable % 0.13/0.41 % SZS output start Model % 0.13/0.41 tff(tptp_fun__i_val_0_type, type, ( % 0.13/0.41 tptp_fun__i_val_0: $i)). % 0.13/0.41 tff(falsehood_type, type, ( % 0.13/0.41 falsehood: $i)). % 0.13/0.41 tff(truth_type, type, ( % 0.13/0.41 truth: $i)). % 0.13/0.41 tff(xor_type, type, ( % 0.13/0.41 xor: ( $i * $i ) > $i)). % 0.13/0.41 tff(and_star_type, type, ( % 0.13/0.41 and_star: ( $i * $i ) > $i)). % 0.13/0.41 tff(not_type, type, ( % 0.13/0.41 not: $i > $i)). % 0.13/0.41 tff(formula1, axiom, % 0.13/0.41 falsehood = $i!val!0). % 0.13/0.41 tff(formula2, axiom, % 0.13/0.41 truth = $i!val!0). % 0.13/0.41 tff(formula3, axiom, % 0.13/0.41 ![X0: $i, X1: $i] : (xor(X0, X1) = ite_t((X0 = X1), $i!val!0, X1))). % 0.13/0.41 tff(formula4, axiom, % 0.13/0.41 ![X0: $i, X1: $i] : (and_star(X0, X1) = ite_t(((X0 = $i!val!0) | (X1 = xor($i!val!0, X0))), $i!val!0, X1))). % 0.13/0.41 tff(formula5, axiom, % 0.13/0.41 ![X0: $i] : (not(X0) = xor(X0, $i!val!0))). % 0.13/0.41 % SZS output end Model % 0.13/0.41 % E exiting %------------------------------------------------------------------------------