%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : KRS005-1 : TPTP v9.0.0. Released v2.0.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n002.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 05:13:10 AM UTC 2025 % Result : Satisfiable 0.14s 0.40s % Output : Model 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : KRS005-1 : TPTP v9.0.0. Released v2.0.0. % 0.08/0.14 % Command : run_E %s %d THM % 0.14/0.36 % Computer : n002.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Thu Jun 19 19:10:46 EDT 2025 % 0.14/0.36 % CPUTime : % 0.14/0.40 % SZS status Satisfiable % 0.14/0.40 % SZS output start Model % 0.14/0.40 tff(tptp_fun__i_val_0_type, type, ( % 0.14/0.40 tptp_fun__i_val_0: $i)). % 0.14/0.40 tff(exist_type, type, ( % 0.14/0.40 exist: $i)). % 0.14/0.40 tff(e_type, type, ( % 0.14/0.40 e: $i > $o)). % 0.14/0.40 tff(r_type, type, ( % 0.14/0.40 r: ( $i * $i ) > $o)). % 0.14/0.40 tff(u0r1_type, type, ( % 0.14/0.40 u0r1: ( $i * $i ) > $i)). % 0.14/0.40 tff(tptp_fun__i_val_2_type, type, ( % 0.14/0.40 tptp_fun__i_val_2: $i)). % 0.14/0.40 tff(u0r2_type, type, ( % 0.14/0.40 u0r2: $i > $i)). % 0.14/0.40 tff(tptp_fun__i_val_1_type, type, ( % 0.14/0.40 tptp_fun__i_val_1: $i)). % 0.14/0.40 tff(u0r3_type, type, ( % 0.14/0.40 u0r3: $i > $i)). % 0.14/0.40 tff(tptp_fun__i_val_3_type, type, ( % 0.14/0.40 tptp_fun__i_val_3: $i)). % 0.14/0.40 tff(u0r4_type, type, ( % 0.14/0.40 u0r4: $i > $i)). % 0.14/0.40 tff(equalish_type, type, ( % 0.14/0.40 equalish: ( $i * $i ) > $o)). % 0.14/0.40 tff(formula1, axiom, % 0.14/0.40 exist = $i!val!0). % 0.14/0.40 tff(formula2, axiom, % 0.14/0.40 ![X0: $i] : (e(X0) <=> $true)). % 0.14/0.40 tff(formula3, axiom, % 0.14/0.40 ![X0: $i, X1: $i] : (r(X0, X1) <=> $true)). % 0.14/0.40 tff(formula4, axiom, % 0.14/0.40 ![X0: $i, X1: $i] : (u0r1(X0, X1) = $i!val!0)). % 0.14/0.40 tff(formula5, axiom, % 0.14/0.40 ![X0: $i] : (u0r2(X0) = $i!val!2)). % 0.14/0.40 tff(formula6, axiom, % 0.14/0.40 ![X0: $i] : (u0r3(X0) = $i!val!1)). % 0.14/0.40 tff(formula7, axiom, % 0.14/0.40 ![X0: $i] : (u0r4(X0) = $i!val!3)). % 0.14/0.40 tff(formula8, axiom, % 0.14/0.40 ![X0: $i, X1: $i] : (equalish(X0, X1) <=> (~((X1 = $i!val!1) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)))))). % 0.14/0.40 % SZS output end Model % 0.21/0.40 % E exiting %------------------------------------------------------------------------------