%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN524-1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n006.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 05:39:27 AM UTC 2025 % Result : Satisfiable 0.18s 0.40s % Output : Model 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.11 % Problem : SYN524-1 : TPTP v9.0.0. Released v2.1.0. % 0.09/0.11 % Command : run_E %s %d THM % 0.11/0.32 % Computer : n006.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Fri Jun 20 12:37:05 EDT 2025 % 0.11/0.32 % CPUTime : % 0.18/0.40 % SZS status Satisfiable % 0.18/0.40 % SZS output start Model % 0.18/0.40 tff(tptp_fun__i_val_1_type, type, ( % 0.18/0.40 tptp_fun__i_val_1: $i)). % 0.18/0.40 tff(a177_type, type, ( % 0.18/0.40 a177: $i)). % 0.18/0.40 tff(a165_type, type, ( % 0.18/0.40 a165: $i)). % 0.18/0.40 tff(ssSkC3_type, type, ( % 0.18/0.40 ssSkC3: $o)). % 0.18/0.40 tff(ssSkC4_type, type, ( % 0.18/0.40 ssSkC4: $o)). % 0.18/0.40 tff(a160_type, type, ( % 0.18/0.40 a160: $i)). % 0.18/0.40 tff(c2_0_type, type, ( % 0.18/0.40 c2_0: $o)). % 0.18/0.40 tff(a164_type, type, ( % 0.18/0.40 a164: $i)). % 0.18/0.40 tff(tptp_fun__i_val_3_type, type, ( % 0.18/0.40 tptp_fun__i_val_3: $i)). % 0.18/0.40 tff(a176_type, type, ( % 0.18/0.40 a176: $i)). % 0.18/0.40 tff(tptp_fun__i_val_0_type, type, ( % 0.18/0.40 tptp_fun__i_val_0: $i)). % 0.18/0.40 tff(a183_type, type, ( % 0.18/0.40 a183: $i)). % 0.18/0.40 tff(a169_type, type, ( % 0.18/0.40 a169: $i)). % 0.18/0.40 tff(ssSkC1_type, type, ( % 0.18/0.40 ssSkC1: $o)). % 0.18/0.40 tff(ssSkC0_type, type, ( % 0.18/0.40 ssSkC0: $o)). % 0.18/0.40 tff(ndr1_0_type, type, ( % 0.18/0.40 ndr1_0: $o)). % 0.18/0.40 tff(c3_0_type, type, ( % 0.18/0.40 c3_0: $o)). % 0.18/0.40 tff(tptp_fun__i_val_2_type, type, ( % 0.18/0.40 tptp_fun__i_val_2: $i)). % 0.18/0.40 tff(a182_type, type, ( % 0.18/0.40 a182: $i)). % 0.18/0.40 tff(a167_type, type, ( % 0.18/0.40 a167: $i)). % 0.18/0.40 tff(a174_type, type, ( % 0.18/0.40 a174: $i)). % 0.18/0.40 tff(a173_type, type, ( % 0.18/0.40 a173: $i)). % 0.18/0.40 tff(a171_type, type, ( % 0.18/0.40 a171: $i)). % 0.18/0.40 tff(a158_type, type, ( % 0.18/0.40 a158: $i)). % 0.18/0.40 tff(c1_0_type, type, ( % 0.18/0.40 c1_0: $o)). % 0.18/0.40 tff(a180_type, type, ( % 0.18/0.40 a180: $i)). % 0.18/0.40 tff(a186_type, type, ( % 0.18/0.40 a186: $i)). % 0.18/0.40 tff(a168_type, type, ( % 0.18/0.40 a168: $i)). % 0.18/0.40 tff(a170_type, type, ( % 0.18/0.40 a170: $i)). % 0.18/0.40 tff(a157_type, type, ( % 0.18/0.40 a157: $i)). % 0.18/0.40 tff(a163_type, type, ( % 0.18/0.40 a163: $i)). % 0.18/0.40 tff(a178_type, type, ( % 0.18/0.40 a178: $i)). % 0.18/0.40 tff(c5_0_type, type, ( % 0.18/0.40 c5_0: $o)). % 0.18/0.40 tff(a187_type, type, ( % 0.18/0.40 a187: $i)). % 0.18/0.40 tff(ssSkC2_type, type, ( % 0.18/0.40 ssSkC2: $o)). % 0.18/0.40 tff(a181_type, type, ( % 0.18/0.40 a181: $i)). % 0.18/0.40 tff(c4_0_type, type, ( % 0.18/0.40 c4_0: $o)). % 0.18/0.40 tff(a185_type, type, ( % 0.18/0.40 a185: $i)). % 0.18/0.40 tff(a175_type, type, ( % 0.18/0.40 a175: $i)). % 0.18/0.40 tff(a159_type, type, ( % 0.18/0.40 a159: $i)). % 0.18/0.40 tff(ndr1_1_type, type, ( % 0.18/0.40 ndr1_1: $i > $o)). % 0.18/0.40 tff(c3_2_type, type, ( % 0.18/0.40 c3_2: ( $i * $i ) > $o)). % 0.18/0.40 tff(c4_2_type, type, ( % 0.18/0.40 c4_2: ( $i * $i ) > $o)). % 0.18/0.40 tff(c5_1_type, type, ( % 0.18/0.40 c5_1: $i > $o)). % 0.18/0.40 tff(ssSkP0_type, type, ( % 0.18/0.40 ssSkP0: $i > $o)). % 0.18/0.40 tff(c5_2_type, type, ( % 0.18/0.40 c5_2: ( $i * $i ) > $o)). % 0.18/0.40 tff(c3_1_type, type, ( % 0.18/0.40 c3_1: $i > $o)). % 0.18/0.40 tff(c2_1_type, type, ( % 0.18/0.40 c2_1: $i > $o)). % 0.18/0.40 tff(c2_2_type, type, ( % 0.18/0.40 c2_2: ( $i * $i ) > $o)). % 0.18/0.40 tff(c4_1_type, type, ( % 0.18/0.40 c4_1: $i > $o)). % 0.18/0.40 tff(c1_2_type, type, ( % 0.18/0.40 c1_2: ( $i * $i ) > $o)). % 0.18/0.40 tff(ssSkP1_type, type, ( % 0.18/0.40 ssSkP1: $i > $o)). % 0.18/0.40 tff(c1_1_type, type, ( % 0.18/0.40 c1_1: $i > $o)). % 0.18/0.40 tff(formula1, axiom, % 0.18/0.40 a177 = $i!val!1). % 0.18/0.40 tff(formula2, axiom, % 0.18/0.40 a165 = $i!val!1). % 0.18/0.40 tff(formula3, axiom, % 0.18/0.40 ssSkC3 <=> $false). % 0.18/0.40 tff(formula4, axiom, % 0.18/0.40 ssSkC4 <=> $true). % 0.18/0.40 tff(formula5, axiom, % 0.18/0.40 a160 = $i!val!1). % 0.18/0.40 tff(formula6, axiom, % 0.18/0.40 c2_0 <=> $false). % 0.18/0.40 tff(formula7, axiom, % 0.18/0.40 a164 = $i!val!1). % 0.18/0.40 tff(formula8, axiom, % 0.18/0.40 a176 = $i!val!3). % 0.18/0.40 tff(formula9, axiom, % 0.18/0.40 a183 = $i!val!0). % 0.18/0.40 tff(formula10, axiom, % 0.18/0.40 a169 = $i!val!1). % 0.18/0.40 tff(formula11, axiom, % 0.18/0.40 ssSkC1 <=> $true). % 0.18/0.40 tff(formula12, axiom, % 0.18/0.40 ssSkC0 <=> $false). % 0.18/0.40 tff(formula13, axiom, % 0.18/0.40 ndr1_0 <=> $true). % 0.18/0.40 tff(formula14, axiom, % 0.18/0.40 c3_0 <=> $false). % 0.18/0.40 tff(formula15, axiom, % 0.18/0.40 a182 = $i!val!2). % 0.18/0.40 tff(formula16, axiom, % 0.18/0.40 a167 = $i!val!1). % 0.18/0.40 tff(formula17, axiom, % 0.18/0.40 a174 = $i!val!1). % 0.18/0.40 tff(formula18, axiom, % 0.18/0.40 a173 = $i!val!1). % 0.18/0.40 tff(formula19, axiom, % 0.18/0.40 a171 = $i!val!1). % 0.18/0.40 tff(formula20, axiom, % 0.18/0.40 a158 = $i!val!1). % 0.18/0.40 tff(formula21, axiom, % 0.18/0.40 c1_0 <=> $true). % 0.18/0.40 tff(formula22, axiom, % 0.18/0.40 a180 = $i!val!1). % 0.18/0.40 tff(formula23, axiom, % 0.18/0.40 a186 = $i!val!1). % 0.18/0.40 tff(formula24, axiom, % 0.18/0.40 a168 = $i!val!1). % 0.18/0.40 tff(formula25, axiom, % 0.18/0.40 a170 = $i!val!2). % 0.18/0.40 tff(formula26, axiom, % 0.18/0.40 a157 = $i!val!1). % 0.18/0.40 tff(formula27, axiom, % 0.18/0.40 a163 = $i!val!1). % 0.18/0.40 tff(formula28, axiom, % 0.18/0.40 a178 = $i!val!1). % 0.18/0.40 tff(formula29, axiom, % 0.18/0.40 c5_0 <=> $false). % 0.18/0.40 tff(formula30, axiom, % 0.18/0.40 a187 = $i!val!1). % 0.18/0.40 tff(formula31, axiom, % 0.18/0.40 ssSkC2 <=> $true). % 0.18/0.40 tff(formula32, axiom, % 0.18/0.40 a181 = $i!val!1). % 0.18/0.40 tff(formula33, axiom, % 0.18/0.40 c4_0 <=> $false). % 0.18/0.40 tff(formula34, axiom, % 0.18/0.40 a185 = $i!val!1). % 0.18/0.40 tff(formula35, axiom, % 0.18/0.40 a175 = $i!val!1). % 0.18/0.40 tff(formula36, axiom, % 0.18/0.40 a159 = $i!val!1). % 0.18/0.40 tff(formula37, axiom, % 0.18/0.40 ![X0: $i] : (ndr1_1(X0) <=> $false)). % 0.18/0.40 tff(formula38, axiom, % 0.18/0.40 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> $false)). % 0.18/0.40 tff(formula39, axiom, % 0.18/0.40 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> $false)). % 0.18/0.41 tff(formula40, axiom, % 0.18/0.41 ![X0: $i] : (c5_1(X0) <=> $true)). % 0.18/0.41 tff(formula41, axiom, % 0.18/0.41 ![X0: $i] : (ssSkP0(X0) <=> $true)). % 0.18/0.41 tff(formula42, axiom, % 0.18/0.41 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> $false)). % 0.18/0.41 tff(formula43, axiom, % 0.18/0.41 ![X0: $i] : (c3_1(X0) <=> $false)). % 0.18/0.41 tff(formula44, axiom, % 0.18/0.41 ![X0: $i] : (c2_1(X0) <=> $false)). % 0.18/0.41 tff(formula45, axiom, % 0.18/0.41 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> $true)). % 0.18/0.41 tff(formula46, axiom, % 0.18/0.41 ![X0: $i] : (c4_1(X0) <=> $false)). % 0.18/0.41 tff(formula47, axiom, % 0.18/0.41 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> $false)). % 0.18/0.41 tff(formula48, axiom, % 0.18/0.41 ![X0: $i] : (ssSkP1(X0) <=> $true)). % 0.18/0.41 tff(formula49, axiom, % 0.18/0.41 ![X0: $i] : (c1_1(X0) <=> (~((~(X0 = $i!val!1)) & (~(X0 = $i!val!0)))))). % 0.18/0.41 % SZS output end Model % 0.18/0.41 % E exiting %------------------------------------------------------------------------------