%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN528-1 : TPTP v9.0.0. Released v2.1.0. % 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 05:39:28 AM UTC 2025 % Result : Satisfiable 0.20s 0.44s % Output : Model 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN528-1 : TPTP v9.0.0. Released v2.1.0. % 0.07/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n002.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 : Fri Jun 20 12:39:01 EDT 2025 % 0.12/0.33 % CPUTime : % 0.20/0.44 % SZS status Satisfiable % 0.20/0.44 % SZS output start Model % 0.20/0.44 tff(ssSkC4_type, type, ( % 0.20/0.44 ssSkC4: $o)). % 0.20/0.44 tff(ssSkC3_type, type, ( % 0.20/0.44 ssSkC3: $o)). % 0.20/0.44 tff(tptp_fun__i_val_9_type, type, ( % 0.20/0.44 tptp_fun__i_val_9: $i)). % 0.20/0.44 tff(a305_type, type, ( % 0.20/0.44 a305: $i)). % 0.20/0.44 tff(tptp_fun__i_val_5_type, type, ( % 0.20/0.44 tptp_fun__i_val_5: $i)). % 0.20/0.44 tff(a311_type, type, ( % 0.20/0.44 a311: $i)). % 0.20/0.44 tff(a282_type, type, ( % 0.20/0.44 a282: $i)). % 0.20/0.44 tff(a280_type, type, ( % 0.20/0.44 a280: $i)). % 0.20/0.44 tff(tptp_fun__i_val_10_type, type, ( % 0.20/0.44 tptp_fun__i_val_10: $i)). % 0.20/0.44 tff(a284_type, type, ( % 0.20/0.44 a284: $i)). % 0.20/0.44 tff(a301_type, type, ( % 0.20/0.44 a301: $i)). % 0.20/0.44 tff(tptp_fun__i_val_2_type, type, ( % 0.20/0.44 tptp_fun__i_val_2: $i)). % 0.20/0.44 tff(a294_type, type, ( % 0.20/0.44 a294: $i)). % 0.20/0.44 tff(tptp_fun__i_val_8_type, type, ( % 0.20/0.44 tptp_fun__i_val_8: $i)). % 0.20/0.44 tff(a299_type, type, ( % 0.20/0.44 a299: $i)). % 0.20/0.44 tff(tptp_fun__i_val_3_type, type, ( % 0.20/0.44 tptp_fun__i_val_3: $i)). % 0.20/0.44 tff(a309_type, type, ( % 0.20/0.44 a309: $i)). % 0.20/0.44 tff(ssSkC1_type, type, ( % 0.20/0.44 ssSkC1: $o)). % 0.20/0.44 tff(ssSkC5_type, type, ( % 0.20/0.44 ssSkC5: $o)). % 0.20/0.44 tff(a295_type, type, ( % 0.20/0.44 a295: $i)). % 0.20/0.44 tff(ndr1_0_type, type, ( % 0.20/0.44 ndr1_0: $o)). % 0.20/0.44 tff(c3_0_type, type, ( % 0.20/0.44 c3_0: $o)). % 0.20/0.44 tff(tptp_fun__i_val_4_type, type, ( % 0.20/0.44 tptp_fun__i_val_4: $i)). % 0.20/0.44 tff(a286_type, type, ( % 0.20/0.44 a286: $i)). % 0.20/0.44 tff(tptp_fun__i_val_1_type, type, ( % 0.20/0.44 tptp_fun__i_val_1: $i)). % 0.20/0.44 tff(a307_type, type, ( % 0.20/0.44 a307: $i)). % 0.20/0.44 tff(ssSkC0_type, type, ( % 0.20/0.44 ssSkC0: $o)). % 0.20/0.44 tff(a285_type, type, ( % 0.20/0.44 a285: $i)). % 0.20/0.44 tff(a303_type, type, ( % 0.20/0.44 a303: $i)). % 0.20/0.44 tff(tptp_fun__i_val_0_type, type, ( % 0.20/0.44 tptp_fun__i_val_0: $i)). % 0.20/0.44 tff(a312_type, type, ( % 0.20/0.44 a312: $i)). % 0.20/0.44 tff(a292_type, type, ( % 0.20/0.44 a292: $i)). % 0.20/0.44 tff(ssSkC6_type, type, ( % 0.20/0.44 ssSkC6: $o)). % 0.20/0.44 tff(a304_type, type, ( % 0.20/0.44 a304: $i)). % 0.20/0.44 tff(a278_type, type, ( % 0.20/0.44 a278: $i)). % 0.20/0.44 tff(c1_0_type, type, ( % 0.20/0.44 c1_0: $o)). % 0.20/0.44 tff(a288_type, type, ( % 0.20/0.44 a288: $i)). % 0.20/0.44 tff(tptp_fun__i_val_6_type, type, ( % 0.20/0.44 tptp_fun__i_val_6: $i)). % 0.20/0.44 tff(a297_type, type, ( % 0.20/0.44 a297: $i)). % 0.20/0.44 tff(tptp_fun__i_val_11_type, type, ( % 0.20/0.44 tptp_fun__i_val_11: $i)). % 0.20/0.44 tff(a283_type, type, ( % 0.20/0.44 a283: $i)). % 0.20/0.44 tff(a279_type, type, ( % 0.20/0.44 a279: $i)). % 0.20/0.44 tff(a306_type, type, ( % 0.20/0.44 a306: $i)). % 0.20/0.44 tff(c2_0_type, type, ( % 0.20/0.44 c2_0: $o)). % 0.20/0.44 tff(tptp_fun__i_val_7_type, type, ( % 0.20/0.44 tptp_fun__i_val_7: $i)). % 0.20/0.44 tff(a277_type, type, ( % 0.20/0.44 a277: $i)). % 0.20/0.44 tff(c5_0_type, type, ( % 0.20/0.44 c5_0: $o)). % 0.20/0.44 tff(a289_type, type, ( % 0.20/0.44 a289: $i)). % 0.20/0.44 tff(tptp_fun__i_val_12_type, type, ( % 0.20/0.44 tptp_fun__i_val_12: $i)). % 0.20/0.44 tff(a281_type, type, ( % 0.20/0.44 a281: $i)). % 0.20/0.44 tff(a290_type, type, ( % 0.20/0.44 a290: $i)). % 0.20/0.44 tff(ssSkC2_type, type, ( % 0.20/0.44 ssSkC2: $o)). % 0.20/0.44 tff(a300_type, type, ( % 0.20/0.44 a300: $i)). % 0.20/0.44 tff(c4_0_type, type, ( % 0.20/0.44 c4_0: $o)). % 0.20/0.44 tff(a302_type, type, ( % 0.20/0.44 a302: $i)). % 0.20/0.44 tff(a291_type, type, ( % 0.20/0.44 a291: $i)). % 0.20/0.44 tff(ndr1_1_type, type, ( % 0.20/0.44 ndr1_1: $i > $o)). % 0.20/0.44 tff(c3_2_type, type, ( % 0.20/0.44 c3_2: ( $i * $i ) > $o)). % 0.20/0.44 tff(c4_2_type, type, ( % 0.20/0.44 c4_2: ( $i * $i ) > $o)). % 0.20/0.44 tff(c5_1_type, type, ( % 0.20/0.44 c5_1: $i > $o)). % 0.20/0.44 tff(ssSkP2_type, type, ( % 0.20/0.44 ssSkP2: $i > $o)). % 0.20/0.44 tff(ssSkP0_type, type, ( % 0.20/0.44 ssSkP0: $i > $o)). % 0.20/0.44 tff(c5_2_type, type, ( % 0.20/0.44 c5_2: ( $i * $i ) > $o)). % 0.20/0.44 tff(c3_1_type, type, ( % 0.20/0.44 c3_1: $i > $o)). % 0.20/0.44 tff(c2_1_type, type, ( % 0.20/0.44 c2_1: $i > $o)). % 0.20/0.44 tff(c2_2_type, type, ( % 0.20/0.44 c2_2: ( $i * $i ) > $o)). % 0.20/0.44 tff(c4_1_type, type, ( % 0.20/0.44 c4_1: $i > $o)). % 0.20/0.44 tff(ssSkP3_type, type, ( % 0.20/0.44 ssSkP3: $i > $o)). % 0.20/0.44 tff(ssSkP1_type, type, ( % 0.20/0.44 ssSkP1: $i > $o)). % 0.20/0.44 tff(c1_2_type, type, ( % 0.20/0.44 c1_2: ( $i * $i ) > $o)). % 0.20/0.44 tff(c1_1_type, type, ( % 0.20/0.44 c1_1: $i > $o)). % 0.20/0.44 tff(formula1, axiom, % 0.20/0.44 ssSkC4 <=> $false). % 0.20/0.44 tff(formula2, axiom, % 0.20/0.44 ssSkC3 <=> $true). % 0.20/0.44 tff(formula3, axiom, % 0.20/0.44 a305 = $i!val!9). % 0.20/0.44 tff(formula4, axiom, % 0.20/0.44 a311 = $i!val!5). % 0.20/0.44 tff(formula5, axiom, % 0.20/0.44 a282 = $i!val!5). % 0.20/0.44 tff(formula6, axiom, % 0.20/0.44 a280 = $i!val!5). % 0.20/0.44 tff(formula7, axiom, % 0.20/0.44 a284 = $i!val!10). % 0.20/0.44 tff(formula8, axiom, % 0.20/0.44 a301 = $i!val!5). % 0.20/0.44 tff(formula9, axiom, % 0.20/0.44 a294 = $i!val!2). % 0.20/0.44 tff(formula10, axiom, % 0.20/0.44 a299 = $i!val!8). % 0.20/0.44 tff(formula11, axiom, % 0.20/0.44 a309 = $i!val!3). % 0.20/0.44 tff(formula12, axiom, % 0.20/0.44 ssSkC1 <=> $true). % 0.20/0.44 tff(formula13, axiom, % 0.20/0.44 ssSkC5 <=> $true). % 0.20/0.44 tff(formula14, axiom, % 0.20/0.44 a295 = $i!val!5). % 0.20/0.44 tff(formula15, axiom, % 0.20/0.44 ndr1_0 <=> $true). % 0.20/0.44 tff(formula16, axiom, % 0.20/0.44 c3_0 <=> $true). % 0.20/0.44 tff(formula17, axiom, % 0.20/0.44 a286 = $i!val!4). % 0.20/0.44 tff(formula18, axiom, % 0.20/0.44 a307 = $i!val!1). % 0.20/0.44 tff(formula19, axiom, % 0.20/0.44 ssSkC0 <=> $false). % 0.20/0.45 tff(formula20, axiom, % 0.20/0.45 a285 = $i!val!5). % 0.20/0.45 tff(formula21, axiom, % 0.20/0.45 a303 = $i!val!5). % 0.20/0.45 tff(formula22, axiom, % 0.20/0.45 a312 = $i!val!0). % 0.20/0.45 tff(formula23, axiom, % 0.20/0.45 a292 = $i!val!5). % 0.20/0.45 tff(formula24, axiom, % 0.20/0.45 ssSkC6 <=> $true). % 0.20/0.45 tff(formula25, axiom, % 0.20/0.45 a304 = $i!val!5). % 0.20/0.45 tff(formula26, axiom, % 0.20/0.45 a278 = $i!val!5). % 0.20/0.45 tff(formula27, axiom, % 0.20/0.45 c1_0 <=> $true). % 0.20/0.45 tff(formula28, axiom, % 0.20/0.45 a288 = $i!val!5). % 0.20/0.45 tff(formula29, axiom, % 0.20/0.45 a297 = $i!val!6). % 0.20/0.45 tff(formula30, axiom, % 0.20/0.45 a283 = $i!val!11). % 0.20/0.45 tff(formula31, axiom, % 0.20/0.45 a279 = $i!val!5). % 0.20/0.45 tff(formula32, axiom, % 0.20/0.45 a306 = $i!val!5). % 0.20/0.45 tff(formula33, axiom, % 0.20/0.45 c2_0 <=> $false). % 0.20/0.45 tff(formula34, axiom, % 0.20/0.45 a277 = $i!val!7). % 0.20/0.45 tff(formula35, axiom, % 0.20/0.45 c5_0 <=> $true). % 0.20/0.45 tff(formula36, axiom, % 0.20/0.45 a289 = $i!val!5). % 0.20/0.45 tff(formula37, axiom, % 0.20/0.45 a281 = $i!val!12). % 0.20/0.45 tff(formula38, axiom, % 0.20/0.45 a290 = $i!val!5). % 0.20/0.45 tff(formula39, axiom, % 0.20/0.45 ssSkC2 <=> $false). % 0.20/0.45 tff(formula40, axiom, % 0.20/0.45 a300 = $i!val!5). % 0.20/0.45 tff(formula41, axiom, % 0.20/0.45 c4_0 <=> $true). % 0.20/0.45 tff(formula42, axiom, % 0.20/0.45 a302 = $i!val!5). % 0.20/0.45 tff(formula43, axiom, % 0.20/0.45 a291 = $i!val!5). % 0.20/0.45 tff(formula44, axiom, % 0.20/0.45 ![X0: $i] : (ndr1_1(X0) <=> $false)). % 0.20/0.45 tff(formula45, axiom, % 0.20/0.45 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> $false)). % 0.20/0.45 tff(formula46, axiom, % 0.20/0.45 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> $false)). % 0.20/0.45 tff(formula47, axiom, % 0.20/0.45 ![X0: $i] : (c5_1(X0) <=> $false)). % 0.20/0.45 tff(formula48, axiom, % 0.20/0.45 ![X0: $i] : (ssSkP2(X0) <=> $true)). % 0.20/0.45 tff(formula49, axiom, % 0.20/0.45 ![X0: $i] : (ssSkP0(X0) <=> $true)). % 0.20/0.45 tff(formula50, axiom, % 0.20/0.45 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> $true)). % 0.20/0.45 tff(formula51, axiom, % 0.20/0.45 ![X0: $i] : (c3_1(X0) <=> $true)). % 0.20/0.45 tff(formula52, axiom, % 0.20/0.45 ![X0: $i] : (c2_1(X0) <=> $false)). % 0.20/0.45 tff(formula53, axiom, % 0.20/0.45 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> $false)). % 0.20/0.45 tff(formula54, axiom, % 0.20/0.45 ![X0: $i] : (c4_1(X0) <=> $false)). % 0.20/0.45 tff(formula55, axiom, % 0.20/0.45 ![X0: $i] : (ssSkP3(X0) <=> $true)). % 0.20/0.45 tff(formula56, axiom, % 0.20/0.45 ![X0: $i] : (ssSkP1(X0) <=> $true)). % 0.20/0.45 tff(formula57, axiom, % 0.20/0.45 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> $true)). % 0.20/0.45 tff(formula58, axiom, % 0.20/0.45 ![X0: $i] : (c1_1(X0) <=> $false)). % 0.20/0.45 % SZS output end Model % 0.20/0.45 % E exiting %------------------------------------------------------------------------------