%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : KRS011-1 : 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 05:13:11 AM UTC 2025 % Result : Satisfiable 0.21s 0.40s % Output : Model 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : KRS011-1 : TPTP v9.0.0. Released v2.0.0. % 0.07/0.12 % Command : run_E %s %d THM % 0.12/0.34 % Computer : n002.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Jun 19 19:11:01 EDT 2025 % 0.12/0.34 % CPUTime : % 0.21/0.40 % SZS status Satisfiable % 0.21/0.40 % SZS output start Model % 0.21/0.40 tff(tptp_fun__i_val_0_type, type, ( % 0.21/0.40 tptp_fun__i_val_0: $i)). % 0.21/0.40 tff(exists_type, type, ( % 0.21/0.40 exists: $i)). % 0.21/0.40 tff(equalish_type, type, ( % 0.21/0.40 equalish: ( $i * $i ) > $o)). % 0.21/0.40 tff(r2least_type, type, ( % 0.21/0.40 r2least: $i > $o)). % 0.21/0.40 tff(tptp_fun__i_val_6_type, type, ( % 0.21/0.40 tptp_fun__i_val_6: $i)). % 0.21/0.40 tff(tptp_fun__i_val_3_type, type, ( % 0.21/0.40 tptp_fun__i_val_3: $i)). % 0.21/0.40 tff(tptp_fun__i_val_4_type, type, ( % 0.21/0.40 tptp_fun__i_val_4: $i)). % 0.21/0.40 tff(e_type, type, ( % 0.21/0.40 e: $i > $o)). % 0.21/0.40 tff(tptp_fun__i_val_1_type, type, ( % 0.21/0.40 tptp_fun__i_val_1: $i)). % 0.21/0.40 tff(u9r4_type, type, ( % 0.21/0.40 u9r4: $i > $i)). % 0.21/0.40 tff(f_type, type, ( % 0.21/0.40 f: $i > $o)). % 0.21/0.40 tff(u11r4_type, type, ( % 0.21/0.40 u11r4: $i > $i)). % 0.21/0.40 tff(t_type, type, ( % 0.21/0.40 t: ( $i * $i ) > $o)). % 0.21/0.40 tff(u9r2_type, type, ( % 0.21/0.40 u9r2: ( $i * $i ) > $i)). % 0.21/0.40 tff(u10r5_type, type, ( % 0.21/0.40 u10r5: $i > $i)). % 0.21/0.40 tff(u11r3_type, type, ( % 0.21/0.40 u11r3: ( $i * $i ) > $i)). % 0.21/0.40 tff(r1_type, type, ( % 0.21/0.40 r1: ( $i * $i ) > $o)). % 0.21/0.40 tff(tptp_fun__i_val_5_type, type, ( % 0.21/0.40 tptp_fun__i_val_5: $i)). % 0.21/0.40 tff(u10r4_type, type, ( % 0.21/0.40 u10r4: $i > $i)). % 0.21/0.40 tff(g_type, type, ( % 0.21/0.40 g: $i > $o)). % 0.21/0.40 tff(u9r1_type, type, ( % 0.21/0.40 u9r1: ( $i * $i ) > $i)). % 0.21/0.40 tff(r2_type, type, ( % 0.21/0.40 r2: ( $i * $i ) > $o)). % 0.21/0.40 tff(u14r2_type, type, ( % 0.21/0.40 u14r2: $i > $i)). % 0.21/0.40 tff(d_type, type, ( % 0.21/0.40 d: $i > $o)). % 0.21/0.40 tff(u10r1_type, type, ( % 0.21/0.40 u10r1: ( $i * $i ) > $i)). % 0.21/0.40 tff(u10r2_type, type, ( % 0.21/0.40 u10r2: ( $i * $i ) > $i)). % 0.21/0.40 tff(u11r1_type, type, ( % 0.21/0.40 u11r1: ( $i * $i ) > $i)). % 0.21/0.40 tff(f2_type, type, ( % 0.21/0.40 f2: $i > $o)). % 0.21/0.40 tff(f1_type, type, ( % 0.21/0.40 f1: $i > $o)). % 0.21/0.40 tff(tptp_fun__i_val_2_type, type, ( % 0.21/0.40 tptp_fun__i_val_2: $i)). % 0.21/0.40 tff(c_type, type, ( % 0.21/0.40 c: $i > $o)). % 0.21/0.40 tff(t3_type, type, ( % 0.21/0.40 t3: ( $i * $i ) > $o)). % 0.21/0.40 tff(r_type, type, ( % 0.21/0.40 r: ( $i * $i ) > $o)). % 0.21/0.40 tff(u9r5_type, type, ( % 0.21/0.40 u9r5: $i > $i)). % 0.21/0.40 tff(t2_type, type, ( % 0.21/0.40 t2: ( $i * $i ) > $o)). % 0.21/0.40 tff(u10r3_type, type, ( % 0.21/0.40 u10r3: ( $i * $i ) > $i)). % 0.21/0.40 tff(u11r5_type, type, ( % 0.21/0.40 u11r5: $i > $i)). % 0.21/0.40 tff(f3_type, type, ( % 0.21/0.40 f3: $i > $o)). % 0.21/0.40 tff(u11r2_type, type, ( % 0.21/0.40 u11r2: ( $i * $i ) > $i)). % 0.21/0.40 tff(u9r3_type, type, ( % 0.21/0.40 u9r3: ( $i * $i ) > $i)). % 0.21/0.40 tff(u14r1_type, type, ( % 0.21/0.40 u14r1: $i > $i)). % 0.21/0.40 tff(t1_type, type, ( % 0.21/0.40 t1: ( $i * $i ) > $o)). % 0.21/0.40 tff(r3_type, type, ( % 0.21/0.40 r3: ( $i * $i ) > $o)). % 0.21/0.40 tff(formula1, axiom, % 0.21/0.40 exists = $i!val!0). % 0.21/0.40 tff(formula2, axiom, % 0.21/0.40 ![X0: $i, X1: $i] : (equalish(X0, X1) <=> $true)). % 0.21/0.40 tff(formula3, axiom, % 0.21/0.40 ![X0: $i] : (r2least(X0) <=> $false)). % 0.21/0.40 tff(formula4, axiom, % 0.21/0.40 ![X0: $i] : (e(X0) <=> ((X0 = $i!val!4) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!6))))). % 0.21/0.40 tff(formula5, axiom, % 0.21/0.40 ![X0: $i] : (u9r4(X0) = $i!val!1)). % 0.21/0.40 tff(formula6, axiom, % 0.21/0.40 ![X0: $i] : (f(X0) <=> $true)). % 0.21/0.40 tff(formula7, axiom, % 0.21/0.40 ![X0: $i] : (u11r4(X0) = $i!val!3)). % 0.21/0.40 tff(formula8, axiom, % 0.21/0.40 ![X0: $i, X1: $i] : (t(X0, X1) <=> $true)). % 0.21/0.40 tff(formula9, axiom, % 0.21/0.40 ![X0: $i, X1: $i] : (u9r2(X0, X1) = $i!val!1)). % 0.21/0.40 tff(formula10, axiom, % 0.21/0.40 ![X0: $i] : (u10r5(X0) = $i!val!6)). % 0.21/0.40 tff(formula11, axiom, % 0.21/0.40 ![X0: $i, X1: $i] : (u11r3(X0, X1) = $i!val!1)). % 0.21/0.40 tff(formula12, axiom, % 0.21/0.40 ![X0: $i, X1: $i] : (r1(X0, X1) <=> $true)). % 0.21/0.40 tff(formula13, axiom, % 0.21/0.40 ![X0: $i] : (u10r4(X0) = $i!val!5)). % 0.21/0.40 tff(formula14, axiom, % 0.21/0.40 ![X0: $i] : (g(X0) <=> $false)). % 0.21/0.40 tff(formula15, axiom, % 0.21/0.40 ![X0: $i, X1: $i] : (u9r1(X0, X1) = $i!val!1)). % 0.21/0.40 tff(formula16, axiom, % 0.21/0.40 ![X0: $i, X1: $i] : (r2(X0, X1) <=> $true)). % 0.21/0.40 tff(formula17, axiom, % 0.21/0.40 ![X0: $i] : (u14r2(X0) = $i!val!1)). % 0.21/0.40 tff(formula18, axiom, % 0.21/0.40 ![X0: $i] : (d(X0) <=> (X0 = $i!val!6))). % 0.21/0.40 tff(formula19, axiom, % 0.21/0.40 ![X0: $i, X1: $i] : (u10r1(X0, X1) = $i!val!3)). % 0.21/0.40 tff(formula20, axiom, % 0.21/0.40 ![X0: $i, X1: $i] : (u10r2(X0, X1) = $i!val!3)). % 0.21/0.40 tff(formula21, axiom, % 0.21/0.40 ![X0: $i, X1: $i] : (u11r1(X0, X1) = $i!val!3)). % 0.21/0.40 tff(formula22, axiom, % 0.21/0.40 ![X0: $i] : (f2(X0) <=> $true)). % 0.21/0.40 tff(formula23, axiom, % 0.21/0.40 ![X0: $i] : (f1(X0) <=> $true)). % 0.21/0.40 tff(formula24, axiom, % 0.21/0.40 ![X0: $i] : (c(X0) <=> ((X0 = $i!val!2) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!6))))). % 0.21/0.40 tff(formula25, axiom, % 0.21/0.40 ![X0: $i, X1: $i] : (t3(X0, X1) <=> $true)). % 0.21/0.40 tff(formula26, axiom, % 0.21/0.40 ![X0: $i, X1: $i] : (r(X0, X1) <=> $true)). % 0.21/0.40 tff(formula27, axiom, % 0.21/0.40 ![X0: $i] : (u9r5(X0) = $i!val!2)). % 0.21/0.40 tff(formula28, axiom, % 0.21/0.40 ![X0: $i, X1: $i] : (t2(X0, X1) <=> $true)). % 0.21/0.40 tff(formula29, axiom, % 0.21/0.40 ![X0: $i, X1: $i] : (u10r3(X0, X1) = $i!val!3)). % 0.21/0.40 tff(formula30, axiom, % 0.21/0.40 ![X0: $i] : (u11r5(X0) = $i!val!4)). % 0.21/0.40 tff(formula31, axiom, % 0.21/0.40 ![X0: $i] : (f3(X0) <=> $true)). % 0.21/0.40 tff(formula32, axiom, % 0.21/0.40 ![X0: $i, X1: $i] : (u11r2(X0, X1) = $i!val!3)). % 0.21/0.40 tff(formula33, axiom, % 0.21/0.40 ![X0: $i, X1: $i] : (u9r3(X0, X1) = $i!val!3)). % 0.21/0.40 tff(formula34, axiom, % 0.21/0.40 ![X0: $i] : (u14r1(X0) = $i!val!3)). % 0.21/0.40 tff(formula35, axiom, % 0.21/0.40 ![X0: $i, X1: $i] : (t1(X0, X1) <=> $true)). % 0.21/0.40 tff(formula36, axiom, % 0.21/0.40 ![X0: $i, X1: $i] : (r3(X0, X1) <=> $true)). % 0.21/0.40 % SZS output end Model % 0.21/0.40 % E exiting %------------------------------------------------------------------------------