%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : KRS014-1 : TPTP v9.0.0. Released v2.0.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n008.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 05:13:11 AM UTC 2025 % Result : Satisfiable 0.20s 0.38s % Output : Model 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : KRS014-1 : TPTP v9.0.0. Released v2.0.0. % 0.03/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n008.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Thu Jun 19 19:09:48 EDT 2025 % 0.12/0.33 % CPUTime : % 0.20/0.38 % SZS status Satisfiable % 0.20/0.38 % SZS output start Model % 0.20/0.38 tff(tptp_fun__i_val_0_type, type, ( % 0.20/0.38 tptp_fun__i_val_0: $i)). % 0.20/0.38 tff(exists_type, type, ( % 0.20/0.38 exists: $i)). % 0.20/0.38 tff(e_type, type, ( % 0.20/0.38 e: $i > $o)). % 0.20/0.38 tff(r_type, type, ( % 0.20/0.38 r: ( $i * $i ) > $o)). % 0.20/0.38 tff(s_type, type, ( % 0.20/0.38 s: ( $i * $i ) > $o)). % 0.20/0.38 tff(r1exact_type, type, ( % 0.20/0.38 r1exact: $i > $o)). % 0.20/0.38 tff(tptp_fun__i_val_1_type, type, ( % 0.20/0.38 tptp_fun__i_val_1: $i)). % 0.20/0.38 tff(u0r1_type, type, ( % 0.20/0.38 u0r1: $i > $i)). % 0.20/0.38 tff(tptp_fun__i_val_2_type, type, ( % 0.20/0.38 tptp_fun__i_val_2: $i)). % 0.20/0.38 tff(u2r2_type, type, ( % 0.20/0.38 u2r2: $i > $i)). % 0.20/0.38 tff(u1r1_type, type, ( % 0.20/0.38 u1r1: ( $i * $i ) > $i)). % 0.20/0.38 tff(s2exact_type, type, ( % 0.20/0.38 s2exact: $i > $o)). % 0.20/0.38 tff(tptp_fun__i_val_3_type, type, ( % 0.20/0.38 tptp_fun__i_val_3: $i)). % 0.20/0.38 tff(u1r2_type, type, ( % 0.20/0.38 u1r2: $i > $i)). % 0.20/0.38 tff(u2r1_type, type, ( % 0.20/0.38 u2r1: ( $i * $i * $i ) > $i)). % 0.20/0.38 tff(u2r3_type, type, ( % 0.20/0.38 u2r3: $i > $i)). % 0.20/0.38 tff(equalish_type, type, ( % 0.20/0.38 equalish: ( $i * $i ) > $o)). % 0.20/0.38 tff(formula1, axiom, % 0.20/0.38 exists = $i!val!0). % 0.20/0.38 tff(formula2, axiom, % 0.20/0.38 ![X0: $i] : (e(X0) <=> $true)). % 0.20/0.38 tff(formula3, axiom, % 0.20/0.38 ![X0: $i, X1: $i] : (r(X0, X1) <=> $true)). % 0.20/0.38 tff(formula4, axiom, % 0.20/0.38 ![X0: $i, X1: $i] : (s(X0, X1) <=> $true)). % 0.20/0.38 tff(formula5, axiom, % 0.20/0.38 ![X0: $i] : (r1exact(X0) <=> $true)). % 0.20/0.38 tff(formula6, axiom, % 0.20/0.38 ![X0: $i] : (u0r1(X0) = $i!val!1)). % 0.20/0.38 tff(formula7, axiom, % 0.20/0.38 ![X0: $i] : (u2r2(X0) = $i!val!2)). % 0.20/0.38 tff(formula8, axiom, % 0.20/0.38 ![X0: $i, X1: $i] : (u1r1(X0, X1) = $i!val!1)). % 0.20/0.38 tff(formula9, axiom, % 0.20/0.38 ![X0: $i] : (s2exact(X0) <=> $true)). % 0.20/0.38 tff(formula10, axiom, % 0.20/0.38 ![X0: $i] : (u1r2(X0) = $i!val!3)). % 0.20/0.38 tff(formula11, axiom, % 0.20/0.38 ![X0: $i, X1: $i, X2: $i] : (u2r1(X0, X1, X2) = $i!val!1)). % 0.20/0.38 tff(formula12, axiom, % 0.20/0.38 ![X0: $i] : (u2r3(X0) = $i!val!1)). % 0.20/0.38 tff(formula13, axiom, % 0.20/0.38 ![X0: $i, X1: $i] : (equalish(X0, X1) <=> (~((X1 = $i!val!1) & (~(X1 = $i!val!2)) & (X0 = $i!val!2))))). % 0.20/0.38 % SZS output end Model % 0.20/0.38 % E exiting %------------------------------------------------------------------------------