%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN536-1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n016.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 05:39:30 AM UTC 2025 % Result : Satisfiable 0.19s 0.40s % Output : Model 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SYN536-1 : TPTP v9.0.0. Released v2.1.0. % 0.00/0.13 % Command : run_E %s %d THM % 0.13/0.34 % Computer : n016.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Fri Jun 20 12:38:02 EDT 2025 % 0.13/0.34 % CPUTime : % 0.19/0.40 % SZS status Satisfiable % 0.19/0.40 % SZS output start Model % 0.19/0.40 tff(ssSkC4_type, type, ( % 0.19/0.40 ssSkC4: $o)). % 0.19/0.40 tff(ssSkC3_type, type, ( % 0.19/0.40 ssSkC3: $o)). % 0.19/0.40 tff(tptp_fun__i_val_0_type, type, ( % 0.19/0.40 tptp_fun__i_val_0: $i)). % 0.19/0.40 tff(a540_type, type, ( % 0.19/0.40 a540: $i)). % 0.19/0.40 tff(tptp_fun__i_val_4_type, type, ( % 0.19/0.40 tptp_fun__i_val_4: $i)). % 0.19/0.40 tff(a536_type, type, ( % 0.19/0.40 a536: $i)). % 0.19/0.40 tff(c2_0_type, type, ( % 0.19/0.40 c2_0: $o)). % 0.19/0.40 tff(tptp_fun__i_val_6_type, type, ( % 0.19/0.40 tptp_fun__i_val_6: $i)). % 0.19/0.40 tff(a521_type, type, ( % 0.19/0.40 a521: $i)). % 0.19/0.40 tff(tptp_fun__i_val_1_type, type, ( % 0.19/0.40 tptp_fun__i_val_1: $i)). % 0.19/0.40 tff(a532_type, type, ( % 0.19/0.40 a532: $i)). % 0.19/0.40 tff(a525_type, type, ( % 0.19/0.40 a525: $i)). % 0.19/0.40 tff(ssSkC5_type, type, ( % 0.19/0.40 ssSkC5: $o)). % 0.19/0.40 tff(tptp_fun__i_val_8_type, type, ( % 0.19/0.40 tptp_fun__i_val_8: $i)). % 0.19/0.40 tff(a526_type, type, ( % 0.19/0.40 a526: $i)). % 0.19/0.40 tff(ssSkC1_type, type, ( % 0.19/0.40 ssSkC1: $o)). % 0.19/0.40 tff(tptp_fun__i_val_2_type, type, ( % 0.19/0.40 tptp_fun__i_val_2: $i)). % 0.19/0.40 tff(a534_type, type, ( % 0.19/0.40 a534: $i)). % 0.19/0.40 tff(ssSkC0_type, type, ( % 0.19/0.40 ssSkC0: $o)). % 0.19/0.40 tff(ndr1_0_type, type, ( % 0.19/0.40 ndr1_0: $o)). % 0.19/0.40 tff(c3_0_type, type, ( % 0.19/0.40 c3_0: $o)). % 0.19/0.40 tff(a543_type, type, ( % 0.19/0.40 a543: $i)). % 0.19/0.40 tff(a539_type, type, ( % 0.19/0.40 a539: $i)). % 0.19/0.40 tff(a541_type, type, ( % 0.19/0.40 a541: $i)). % 0.19/0.40 tff(a542_type, type, ( % 0.19/0.40 a542: $i)). % 0.19/0.40 tff(a527_type, type, ( % 0.19/0.40 a527: $i)). % 0.19/0.40 tff(ssSkC6_type, type, ( % 0.19/0.40 ssSkC6: $o)). % 0.19/0.40 tff(tptp_fun__i_val_5_type, type, ( % 0.19/0.40 tptp_fun__i_val_5: $i)). % 0.19/0.40 tff(a528_type, type, ( % 0.19/0.40 a528: $i)). % 0.19/0.40 tff(tptp_fun__i_val_3_type, type, ( % 0.19/0.40 tptp_fun__i_val_3: $i)). % 0.19/0.40 tff(a544_type, type, ( % 0.19/0.40 a544: $i)). % 0.19/0.40 tff(c1_0_type, type, ( % 0.19/0.40 c1_0: $o)). % 0.19/0.40 tff(a523_type, type, ( % 0.19/0.40 a523: $i)). % 0.19/0.40 tff(tptp_fun__i_val_7_type, type, ( % 0.19/0.40 tptp_fun__i_val_7: $i)). % 0.19/0.40 tff(a545_type, type, ( % 0.19/0.40 a545: $i)). % 0.19/0.40 tff(a524_type, type, ( % 0.19/0.40 a524: $i)). % 0.19/0.40 tff(a537_type, type, ( % 0.19/0.40 a537: $i)). % 0.19/0.40 tff(a522_type, type, ( % 0.19/0.40 a522: $i)). % 0.19/0.40 tff(c5_0_type, type, ( % 0.19/0.40 c5_0: $o)). % 0.19/0.40 tff(a520_type, type, ( % 0.19/0.40 a520: $i)). % 0.19/0.40 tff(ssSkC2_type, type, ( % 0.19/0.40 ssSkC2: $o)). % 0.19/0.40 tff(c4_0_type, type, ( % 0.19/0.40 c4_0: $o)). % 0.19/0.40 tff(a535_type, type, ( % 0.19/0.40 a535: $i)). % 0.19/0.40 tff(tptp_fun__i_val_9_type, type, ( % 0.19/0.40 tptp_fun__i_val_9: $i)). % 0.19/0.40 tff(a533_type, type, ( % 0.19/0.40 a533: $i)). % 0.19/0.40 tff(ndr1_1_type, type, ( % 0.19/0.40 ndr1_1: $i > $o)). % 0.19/0.40 tff(c3_2_type, type, ( % 0.19/0.40 c3_2: ( $i * $i ) > $o)). % 0.19/0.40 tff(c4_2_type, type, ( % 0.19/0.40 c4_2: ( $i * $i ) > $o)). % 0.19/0.40 tff(c5_1_type, type, ( % 0.19/0.40 c5_1: $i > $o)). % 0.19/0.40 tff(c5_2_type, type, ( % 0.19/0.40 c5_2: ( $i * $i ) > $o)). % 0.19/0.40 tff(c3_1_type, type, ( % 0.19/0.40 c3_1: $i > $o)). % 0.19/0.40 tff(c2_1_type, type, ( % 0.19/0.40 c2_1: $i > $o)). % 0.19/0.40 tff(c2_2_type, type, ( % 0.19/0.40 c2_2: ( $i * $i ) > $o)). % 0.19/0.40 tff(c1_2_type, type, ( % 0.19/0.40 c1_2: ( $i * $i ) > $o)). % 0.19/0.40 tff(c4_1_type, type, ( % 0.19/0.40 c4_1: $i > $o)). % 0.19/0.40 tff(c1_1_type, type, ( % 0.19/0.40 c1_1: $i > $o)). % 0.19/0.40 tff(formula1, axiom, % 0.19/0.40 ssSkC4 <=> $true). % 0.19/0.40 tff(formula2, axiom, % 0.19/0.40 ssSkC3 <=> $true). % 0.19/0.40 tff(formula3, axiom, % 0.19/0.40 a540 = $i!val!0). % 0.19/0.40 tff(formula4, axiom, % 0.19/0.40 a536 = $i!val!4). % 0.19/0.40 tff(formula5, axiom, % 0.19/0.40 c2_0 <=> $true). % 0.19/0.40 tff(formula6, axiom, % 0.19/0.40 a521 = $i!val!6). % 0.19/0.40 tff(formula7, axiom, % 0.19/0.40 a532 = $i!val!1). % 0.19/0.40 tff(formula8, axiom, % 0.19/0.40 a525 = $i!val!4). % 0.19/0.40 tff(formula9, axiom, % 0.19/0.40 ssSkC5 <=> $true). % 0.19/0.40 tff(formula10, axiom, % 0.19/0.40 a526 = $i!val!8). % 0.19/0.40 tff(formula11, axiom, % 0.19/0.40 ssSkC1 <=> $false). % 0.19/0.40 tff(formula12, axiom, % 0.19/0.40 a534 = $i!val!2). % 0.19/0.40 tff(formula13, axiom, % 0.19/0.40 ssSkC0 <=> $false). % 0.19/0.40 tff(formula14, axiom, % 0.19/0.40 ndr1_0 <=> $true). % 0.19/0.40 tff(formula15, axiom, % 0.19/0.40 c3_0 <=> $false). % 0.19/0.40 tff(formula16, axiom, % 0.19/0.40 a543 = $i!val!1). % 0.19/0.40 tff(formula17, axiom, % 0.19/0.40 a539 = $i!val!4). % 0.19/0.40 tff(formula18, axiom, % 0.19/0.40 a541 = $i!val!4). % 0.19/0.40 tff(formula19, axiom, % 0.19/0.40 a542 = $i!val!4). % 0.19/0.40 tff(formula20, axiom, % 0.19/0.40 a527 = $i!val!2). % 0.19/0.40 tff(formula21, axiom, % 0.19/0.40 ssSkC6 <=> $true). % 0.19/0.40 tff(formula22, axiom, % 0.19/0.40 a528 = $i!val!5). % 0.19/0.40 tff(formula23, axiom, % 0.19/0.40 a544 = $i!val!3). % 0.19/0.40 tff(formula24, axiom, % 0.19/0.40 c1_0 <=> $true). % 0.19/0.40 tff(formula25, axiom, % 0.19/0.40 a523 = $i!val!4). % 0.19/0.40 tff(formula26, axiom, % 0.19/0.40 a545 = $i!val!7). % 0.19/0.40 tff(formula27, axiom, % 0.19/0.40 a524 = $i!val!2). % 0.19/0.40 tff(formula28, axiom, % 0.19/0.40 a537 = $i!val!1). % 0.19/0.40 tff(formula29, axiom, % 0.19/0.40 a522 = $i!val!4). % 0.19/0.40 tff(formula30, axiom, % 0.19/0.40 c5_0 <=> $true). % 0.19/0.40 tff(formula31, axiom, % 0.19/0.40 a520 = $i!val!4). % 0.19/0.40 tff(formula32, axiom, % 0.19/0.40 ssSkC2 <=> $true). % 0.19/0.40 tff(formula33, axiom, % 0.19/0.40 c4_0 <=> $false). % 0.19/0.40 tff(formula34, axiom, % 0.19/0.40 a535 = $i!val!2). % 0.19/0.40 tff(formula35, axiom, % 0.19/0.40 a533 = $i!val!9). % 0.19/0.41 tff(formula36, axiom, % 0.19/0.41 ![X0: $i] : (ndr1_1(X0) <=> ((~(X0 = $i!val!1)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!9))))). % 0.19/0.41 tff(formula37, axiom, % 0.19/0.41 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> $false)). % 0.19/0.41 tff(formula38, axiom, % 0.19/0.41 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> $true)). % 0.19/0.41 tff(formula39, axiom, % 0.19/0.41 ![X0: $i] : (c5_1(X0) <=> $false)). % 0.19/0.41 tff(formula40, axiom, % 0.19/0.41 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> $false)). % 0.19/0.41 tff(formula41, axiom, % 0.19/0.41 ![X0: $i] : (c3_1(X0) <=> ((~(X0 = $i!val!1)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!9))))). % 0.19/0.41 tff(formula42, axiom, % 0.19/0.41 ![X0: $i] : (c2_1(X0) <=> $false)). % 0.19/0.41 tff(formula43, axiom, % 0.19/0.41 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> $true)). % 0.19/0.41 tff(formula44, axiom, % 0.19/0.41 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> $false)). % 0.19/0.41 tff(formula45, axiom, % 0.19/0.41 ![X0: $i] : (c4_1(X0) <=> $false)). % 0.19/0.41 tff(formula46, axiom, % 0.19/0.41 ![X0: $i] : (c1_1(X0) <=> $false)). % 0.19/0.41 % SZS output end Model % 0.19/0.41 % E exiting %------------------------------------------------------------------------------