%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN530-1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n015.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 05:39:29 AM UTC 2025 % Result : Satisfiable 0.20s 0.40s % Output : Model 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SYN530-1 : TPTP v9.0.0. Released v2.1.0. % 0.07/0.13 % Command : run_E %s %d THM % 0.12/0.34 % Computer : n015.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 : Fri Jun 20 12:37:41 EDT 2025 % 0.12/0.34 % CPUTime : % 0.20/0.40 % SZS status Satisfiable % 0.20/0.40 % SZS output start Model % 0.20/0.40 tff(tptp_fun__i_val_8_type, type, ( % 0.20/0.40 tptp_fun__i_val_8: $i)). % 0.20/0.40 tff(a363_type, type, ( % 0.20/0.40 a363: $i)). % 0.20/0.40 tff(tptp_fun__i_val_11_type, type, ( % 0.20/0.40 tptp_fun__i_val_11: $i)). % 0.20/0.40 tff(a361_type, type, ( % 0.20/0.40 a361: $i)). % 0.20/0.40 tff(tptp_fun__i_val_3_type, type, ( % 0.20/0.40 tptp_fun__i_val_3: $i)). % 0.20/0.40 tff(a370_type, type, ( % 0.20/0.40 a370: $i)). % 0.20/0.40 tff(c2_0_type, type, ( % 0.20/0.40 c2_0: $o)). % 0.20/0.40 tff(tptp_fun__i_val_10_type, type, ( % 0.20/0.40 tptp_fun__i_val_10: $i)). % 0.20/0.40 tff(a359_type, type, ( % 0.20/0.40 a359: $i)). % 0.20/0.40 tff(a376_type, type, ( % 0.20/0.40 a376: $i)). % 0.20/0.40 tff(a366_type, type, ( % 0.20/0.40 a366: $i)). % 0.20/0.40 tff(a381_type, type, ( % 0.20/0.40 a381: $i)). % 0.20/0.40 tff(ssSkC1_type, type, ( % 0.20/0.40 ssSkC1: $o)). % 0.20/0.40 tff(tptp_fun__i_val_7_type, type, ( % 0.20/0.40 tptp_fun__i_val_7: $i)). % 0.20/0.40 tff(a372_type, type, ( % 0.20/0.40 a372: $i)). % 0.20/0.40 tff(tptp_fun__i_val_2_type, type, ( % 0.20/0.40 tptp_fun__i_val_2: $i)). % 0.20/0.40 tff(a377_type, type, ( % 0.20/0.40 a377: $i)). % 0.20/0.40 tff(ssSkC0_type, type, ( % 0.20/0.40 ssSkC0: $o)). % 0.20/0.40 tff(ndr1_0_type, type, ( % 0.20/0.40 ndr1_0: $o)). % 0.20/0.40 tff(tptp_fun__i_val_4_type, type, ( % 0.20/0.40 tptp_fun__i_val_4: $i)). % 0.20/0.40 tff(a360_type, type, ( % 0.20/0.40 a360: $i)). % 0.20/0.40 tff(tptp_fun__i_val_6_type, type, ( % 0.20/0.40 tptp_fun__i_val_6: $i)). % 0.20/0.40 tff(a373_type, type, ( % 0.20/0.40 a373: $i)). % 0.20/0.40 tff(a386_type, type, ( % 0.20/0.40 a386: $i)). % 0.20/0.40 tff(tptp_fun__i_val_12_type, type, ( % 0.20/0.40 tptp_fun__i_val_12: $i)). % 0.20/0.40 tff(a369_type, type, ( % 0.20/0.40 a369: $i)). % 0.20/0.40 tff(a374_type, type, ( % 0.20/0.40 a374: $i)). % 0.20/0.40 tff(a368_type, type, ( % 0.20/0.40 a368: $i)). % 0.20/0.40 tff(c3_0_type, type, ( % 0.20/0.40 c3_0: $o)). % 0.20/0.40 tff(a379_type, type, ( % 0.20/0.40 a379: $i)). % 0.20/0.40 tff(a365_type, type, ( % 0.20/0.40 a365: $i)). % 0.20/0.40 tff(c1_0_type, type, ( % 0.20/0.40 c1_0: $o)). % 0.20/0.40 tff(a371_type, type, ( % 0.20/0.40 a371: $i)). % 0.20/0.40 tff(a380_type, type, ( % 0.20/0.40 a380: $i)). % 0.20/0.40 tff(tptp_fun__i_val_9_type, type, ( % 0.20/0.40 tptp_fun__i_val_9: $i)). % 0.20/0.40 tff(a384_type, type, ( % 0.20/0.40 a384: $i)). % 0.20/0.40 tff(a364_type, type, ( % 0.20/0.40 a364: $i)). % 0.20/0.40 tff(a375_type, type, ( % 0.20/0.40 a375: $i)). % 0.20/0.40 tff(c5_0_type, type, ( % 0.20/0.40 c5_0: $o)). % 0.20/0.40 tff(a378_type, type, ( % 0.20/0.40 a378: $i)). % 0.20/0.40 tff(tptp_fun__i_val_0_type, type, ( % 0.20/0.40 tptp_fun__i_val_0: $i)). % 0.20/0.40 tff(a357_type, type, ( % 0.20/0.40 a357: $i)). % 0.20/0.40 tff(tptp_fun__i_val_1_type, type, ( % 0.20/0.40 tptp_fun__i_val_1: $i)). % 0.20/0.40 tff(a383_type, type, ( % 0.20/0.40 a383: $i)). % 0.20/0.40 tff(tptp_fun__i_val_5_type, type, ( % 0.20/0.40 tptp_fun__i_val_5: $i)). % 0.20/0.40 tff(a358_type, type, ( % 0.20/0.40 a358: $i)). % 0.20/0.40 tff(ssSkC2_type, type, ( % 0.20/0.40 ssSkC2: $o)). % 0.20/0.40 tff(a367_type, type, ( % 0.20/0.40 a367: $i)). % 0.20/0.40 tff(c4_0_type, type, ( % 0.20/0.40 c4_0: $o)). % 0.20/0.40 tff(a362_type, type, ( % 0.20/0.40 a362: $i)). % 0.20/0.40 tff(ndr1_1_type, type, ( % 0.20/0.40 ndr1_1: $i > $o)). % 0.20/0.40 tff(c3_2_type, type, ( % 0.20/0.40 c3_2: ( $i * $i ) > $o)). % 0.20/0.40 tff(c4_2_type, type, ( % 0.20/0.40 c4_2: ( $i * $i ) > $o)). % 0.20/0.40 tff(c5_1_type, type, ( % 0.20/0.40 c5_1: $i > $o)). % 0.20/0.40 tff(ssSkP0_type, type, ( % 0.20/0.40 ssSkP0: $i > $o)). % 0.20/0.40 tff(ssSkP2_type, type, ( % 0.20/0.40 ssSkP2: $i > $o)). % 0.20/0.40 tff(c5_2_type, type, ( % 0.20/0.40 c5_2: ( $i * $i ) > $o)). % 0.20/0.40 tff(c3_1_type, type, ( % 0.20/0.40 c3_1: $i > $o)). % 0.20/0.40 tff(c2_1_type, type, ( % 0.20/0.40 c2_1: $i > $o)). % 0.20/0.40 tff(c2_2_type, type, ( % 0.20/0.40 c2_2: ( $i * $i ) > $o)). % 0.20/0.40 tff(c1_2_type, type, ( % 0.20/0.40 c1_2: ( $i * $i ) > $o)). % 0.20/0.40 tff(c4_1_type, type, ( % 0.20/0.40 c4_1: $i > $o)). % 0.20/0.40 tff(ssSkP1_type, type, ( % 0.20/0.40 ssSkP1: $i > $o)). % 0.20/0.40 tff(c1_1_type, type, ( % 0.20/0.40 c1_1: $i > $o)). % 0.20/0.40 tff(formula1, axiom, % 0.20/0.40 a363 = $i!val!8). % 0.20/0.40 tff(formula2, axiom, % 0.20/0.40 a361 = $i!val!11). % 0.20/0.40 tff(formula3, axiom, % 0.20/0.40 a370 = $i!val!3). % 0.20/0.40 tff(formula4, axiom, % 0.20/0.40 c2_0 <=> $true). % 0.20/0.40 tff(formula5, axiom, % 0.20/0.40 a359 = $i!val!10). % 0.20/0.40 tff(formula6, axiom, % 0.20/0.40 a376 = $i!val!10). % 0.20/0.40 tff(formula7, axiom, % 0.20/0.40 a366 = $i!val!3). % 0.20/0.40 tff(formula8, axiom, % 0.20/0.40 a381 = $i!val!10). % 0.20/0.40 tff(formula9, axiom, % 0.20/0.40 ssSkC1 <=> $true). % 0.20/0.40 tff(formula10, axiom, % 0.20/0.40 a372 = $i!val!7). % 0.20/0.40 tff(formula11, axiom, % 0.20/0.40 a377 = $i!val!2). % 0.20/0.40 tff(formula12, axiom, % 0.20/0.40 ssSkC0 <=> $true). % 0.20/0.40 tff(formula13, axiom, % 0.20/0.40 ndr1_0 <=> $true). % 0.20/0.40 tff(formula14, axiom, % 0.20/0.40 a360 = $i!val!4). % 0.20/0.40 tff(formula15, axiom, % 0.20/0.40 a373 = $i!val!6). % 0.20/0.40 tff(formula16, axiom, % 0.20/0.40 a386 = $i!val!10). % 0.20/0.40 tff(formula17, axiom, % 0.20/0.40 a369 = $i!val!12). % 0.20/0.40 tff(formula18, axiom, % 0.20/0.40 a374 = $i!val!3). % 0.20/0.40 tff(formula19, axiom, % 0.20/0.40 a368 = $i!val!10). % 0.20/0.40 tff(formula20, axiom, % 0.20/0.40 c3_0 <=> $true). % 0.20/0.40 tff(formula21, axiom, % 0.20/0.40 a379 = $i!val!10). % 0.20/0.40 tff(formula22, axiom, % 0.20/0.40 a365 = $i!val!10). % 0.20/0.40 tff(formula23, axiom, % 0.20/0.40 c1_0 <=> $false). % 0.20/0.40 tff(formula24, axiom, % 0.20/0.40 a371 = $i!val!3). % 0.20/0.40 tff(formula25, axiom, % 0.20/0.40 a380 = $i!val!3). % 0.20/0.40 tff(formula26, axiom, % 0.20/0.41 a384 = $i!val!9). % 0.20/0.41 tff(formula27, axiom, % 0.20/0.41 a364 = $i!val!10). % 0.20/0.41 tff(formula28, axiom, % 0.20/0.41 a375 = $i!val!10). % 0.20/0.41 tff(formula29, axiom, % 0.20/0.41 c5_0 <=> $true). % 0.20/0.41 tff(formula30, axiom, % 0.20/0.41 a378 = $i!val!10). % 0.20/0.41 tff(formula31, axiom, % 0.20/0.41 a357 = $i!val!0). % 0.20/0.41 tff(formula32, axiom, % 0.20/0.41 a383 = $i!val!1). % 0.20/0.41 tff(formula33, axiom, % 0.20/0.41 a358 = $i!val!5). % 0.20/0.41 tff(formula34, axiom, % 0.20/0.41 ssSkC2 <=> $true). % 0.20/0.41 tff(formula35, axiom, % 0.20/0.41 a367 = $i!val!10). % 0.20/0.41 tff(formula36, axiom, % 0.20/0.41 c4_0 <=> $true). % 0.20/0.41 tff(formula37, axiom, % 0.20/0.41 a362 = $i!val!10). % 0.20/0.41 tff(formula38, axiom, % 0.20/0.41 ![X0: $i] : (ndr1_1(X0) <=> $false)). % 0.20/0.41 tff(formula39, axiom, % 0.20/0.41 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> $false)). % 0.20/0.41 tff(formula40, axiom, % 0.20/0.41 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> $false)). % 0.20/0.41 tff(formula41, axiom, % 0.20/0.41 ![X0: $i] : (c5_1(X0) <=> $false)). % 0.20/0.41 tff(formula42, axiom, % 0.20/0.41 ![X0: $i] : (ssSkP0(X0) <=> $true)). % 0.20/0.41 tff(formula43, axiom, % 0.20/0.41 ![X0: $i] : (ssSkP2(X0) <=> $true)). % 0.20/0.41 tff(formula44, axiom, % 0.20/0.41 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> $false)). % 0.20/0.41 tff(formula45, axiom, % 0.20/0.41 ![X0: $i] : (c3_1(X0) <=> ((X0 = $i!val!2) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!12)) & (~(X0 = $i!val!11))))). % 0.20/0.41 tff(formula46, axiom, % 0.20/0.41 ![X0: $i] : (c2_1(X0) <=> $false)). % 0.20/0.41 tff(formula47, axiom, % 0.20/0.41 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> $false)). % 0.20/0.41 tff(formula48, axiom, % 0.20/0.41 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> $false)). % 0.20/0.41 tff(formula49, axiom, % 0.20/0.41 ![X0: $i] : (c4_1(X0) <=> $false)). % 0.20/0.41 tff(formula50, axiom, % 0.20/0.41 ![X0: $i] : (ssSkP1(X0) <=> $true)). % 0.20/0.41 tff(formula51, axiom, % 0.20/0.41 ![X0: $i] : (c1_1(X0) <=> $false)). % 0.20/0.41 % SZS output end Model % 0.20/0.41 % E exiting %------------------------------------------------------------------------------