%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : MGT066+1 : TPTP v9.3.0. Released v2.5.0. % Transfm : NO INFORMATION % Format : NO INFORMATION % Command : run_E %s %d THM % Computer : n011.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 : Tue Sep 8 06:24:10 AM UTC 2026 % Result : Satisfiable 0.13s 0.40s % Output : Model 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT066+1 : TPTP v9.3.0. Released v2.5.0. % 0.00/0.03 % Command : run_E %s %d THM % 0.07/0.34 % Computer : n011.cluster.edu % 0.07/0.34 % Model : x86_64 x86_64 % 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.34 % Memory : 8046.5625MB % 0.07/0.34 % OS : Linux 6.8.0-71-generic % 0.07/0.34 % CPULimit : 300 % 0.07/0.34 % WCLimit : 300 % 0.07/0.34 % DateTime : Mon Sep 7 13:48:32 UTC 2026 % 0.07/0.34 % CPUTime : % 0.13/0.40 % SZS status Satisfiable % 0.13/0.40 % SZS output start Model % 0.13/0.40 tff(smaller_or_equal_type, type, ( % 0.13/0.40 smaller_or_equal: ( $i * $i ) > $o)). % 0.13/0.40 tff(tptp_fun__i_val_0_type, type, ( % 0.13/0.40 tptp_fun__i_val_0: $i)). % 0.13/0.40 tff(smaller_type, type, ( % 0.13/0.40 smaller: ( $i * $i ) > $o)). % 0.13/0.40 tff(greater_type, type, ( % 0.13/0.40 greater: ( $i * $i ) > $o)). % 0.13/0.40 tff(greater_or_equal_type, type, ( % 0.13/0.40 greater_or_equal: ( $i * $i ) > $o)). % 0.13/0.40 tff(formula1, axiom, % 0.13/0.40 smaller_or_equal($i!val!0, $i!val!0) <=> $true). % 0.13/0.40 tff(formula2, axiom, % 0.13/0.40 ![X0: $i, X1: $i] : ((~(($i!val!0 = X0) & ($i!val!0 = X1))) => (smaller_or_equal(X0, X1) <=> ((X1 = X0) | smaller(X1, X0))))). % 0.13/0.40 tff(formula3, axiom, % 0.13/0.40 ![X0: $i, X1: $i] : (smaller(X0, X1) <=> $false)). % 0.13/0.40 tff(formula4, axiom, % 0.13/0.40 ![X0: $i, X1: $i] : (greater(X0, X1) <=> $false)). % 0.13/0.40 tff(formula5, axiom, % 0.13/0.40 greater_or_equal($i!val!0, $i!val!0) <=> $true). % 0.13/0.40 tff(formula6, axiom, % 0.13/0.40 ![X0: $i, X1: $i] : ((~(($i!val!0 = X0) & ($i!val!0 = X1))) => (greater_or_equal(X0, X1) <=> ((X1 = X0) | greater(X1, X0))))). % 0.13/0.40 % SZS output end Model % 0.13/0.41 % E exiting %------------------------------------------------------------------------------