%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : LCL410-1 : 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 02:59:58 PM UTC 2026 % Result : Satisfiable 0.14s 0.46s % Output : Model 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL410-1 : TPTP v9.3.1. Released v2.5.0. % 0.00/0.03 % Command : run_E %s %d THM % 0.09/0.36 % Computer : n003.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 04:57:37 UTC 2026 % 0.14/0.36 % CPUTime : % 0.14/0.46 % SZS status Satisfiable % 0.14/0.46 % SZS output start Model % 0.14/0.46 tff(tptp_fun__i_val_0_type, type, ( % 0.14/0.46 tptp_fun__i_val_0: $i)). % 0.14/0.46 tff(falsehood_type, type, ( % 0.14/0.46 falsehood: $i)). % 0.14/0.46 tff(tptp_fun__i_val_1_type, type, ( % 0.14/0.46 tptp_fun__i_val_1: $i)). % 0.14/0.46 tff(truth_type, type, ( % 0.14/0.46 truth: $i)). % 0.14/0.46 tff(or_type, type, ( % 0.14/0.46 or: ( $i * $i ) > $i)). % 0.14/0.46 tff(xor_type, type, ( % 0.14/0.46 xor: ( $i * $i ) > $i)). % 0.14/0.46 tff(and_star_type, type, ( % 0.14/0.46 and_star: ( $i * $i ) > $i)). % 0.14/0.46 tff(implies_type, type, ( % 0.14/0.46 implies: ( $i * $i ) > $i)). % 0.14/0.46 tff(not_type, type, ( % 0.14/0.46 not: $i > $i)). % 0.14/0.46 tff(and_type, type, ( % 0.14/0.46 and: ( $i * $i ) > $i)). % 0.14/0.46 tff(formula1, axiom, % 0.14/0.46 falsehood = $i!val!0). % 0.14/0.46 tff(formula2, axiom, % 0.14/0.46 truth = $i!val!1). % 0.14/0.46 tff(formula3, axiom, % 0.14/0.46 ![X0: $i, X1: $i] : (or(X0, X1) = ite_t(((~(X1 = $i!val!1)) & (~(X0 = $i!val!1))), $i!val!0, $i!val!1))). % 0.14/0.46 tff(formula4, axiom, % 0.14/0.46 ![X0: $i, X1: $i] : (xor(X0, X1) = ite_t((((~(X1 = $i!val!1)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!1) & (X0 = $i!val!1))), $i!val!0, $i!val!1))). % 0.14/0.46 tff(formula5, axiom, % 0.14/0.46 and_star($i!val!1, $i!val!1) = $i!val!1). % 0.14/0.46 tff(formula6, axiom, % 0.14/0.46 ![X0: $i, X1: $i] : ((~(($i!val!1 = X0) & ($i!val!1 = X1))) => (and_star(X0, X1) = $i!val!0))). % 0.14/0.46 tff(formula7, axiom, % 0.14/0.46 ![X0: $i, X1: $i] : (implies(X0, X1) = ite_t(((X1 = $i!val!1) & (~(X0 = $i!val!1))), $i!val!0, $i!val!1))). % 0.14/0.46 tff(formula8, axiom, % 0.14/0.46 not($i!val!1) = $i!val!0). % 0.14/0.46 tff(formula9, axiom, % 0.14/0.46 ![X0: $i] : ((~(($i!val!1 = X0))) => (not(X0) = $i!val!1))). % 0.14/0.46 tff(formula10, axiom, % 0.14/0.46 and($i!val!1, $i!val!1) = $i!val!1). % 0.14/0.46 tff(formula11, axiom, % 0.14/0.46 ![X0: $i, X1: $i] : ((~(($i!val!1 = X0) & ($i!val!1 = X1))) => (and(X0, X1) = $i!val!0))). % 0.14/0.46 % SZS output end Model % 0.14/0.46 % E exiting %------------------------------------------------------------------------------