%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN525-1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n014.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 0.19s 0.40s % Output : Model 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : SYN525-1 : TPTP v9.0.0. Released v2.1.0. % 0.06/0.11 % Command : run_E %s %d THM % 0.12/0.32 % Computer : n014.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 300 % 0.12/0.32 % DateTime : Fri Jun 20 12:37:39 EDT 2025 % 0.12/0.32 % CPUTime : % 0.19/0.40 % SZS status Satisfiable % 0.19/0.40 % SZS output start Model % 0.19/0.40 tff(tptp_fun__i_val_12_type, type, ( % 0.19/0.40 tptp_fun__i_val_12: $i)). % 0.19/0.40 tff(a213_type, type, ( % 0.19/0.40 a213: $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(a215_type, type, ( % 0.19/0.40 a215: $i)). % 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(c2_0_type, type, ( % 0.19/0.40 c2_0: $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(a209_type, type, ( % 0.19/0.40 a209: $i)). % 0.19/0.40 tff(ssSkC1_type, type, ( % 0.19/0.40 ssSkC1: $o)). % 0.19/0.40 tff(tptp_fun__i_val_13_type, type, ( % 0.19/0.40 tptp_fun__i_val_13: $i)). % 0.19/0.40 tff(a204_type, type, ( % 0.19/0.40 a204: $i)). % 0.19/0.40 tff(ssSkC5_type, type, ( % 0.19/0.40 ssSkC5: $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(a191_type, type, ( % 0.19/0.40 a191: $i)). % 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(a203_type, type, ( % 0.19/0.40 a203: $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(tptp_fun__i_val_10_type, type, ( % 0.19/0.40 tptp_fun__i_val_10: $i)). % 0.19/0.40 tff(a195_type, type, ( % 0.19/0.40 a195: $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(a216_type, type, ( % 0.19/0.40 a216: $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(a188_type, type, ( % 0.19/0.40 a188: $i)). % 0.19/0.40 tff(tptp_fun__i_val_14_type, type, ( % 0.19/0.40 tptp_fun__i_val_14: $i)). % 0.19/0.40 tff(a190_type, type, ( % 0.19/0.40 a190: $i)). % 0.19/0.40 tff(tptp_fun__i_val_11_type, type, ( % 0.19/0.40 tptp_fun__i_val_11: $i)). % 0.19/0.40 tff(a217_type, type, ( % 0.19/0.40 a217: $i)). % 0.19/0.40 tff(ssSkC6_type, type, ( % 0.19/0.40 ssSkC6: $o)). % 0.19/0.40 tff(a197_type, type, ( % 0.19/0.40 a197: $i)). % 0.19/0.40 tff(a196_type, type, ( % 0.19/0.40 a196: $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(a205_type, type, ( % 0.19/0.40 a205: $i)). % 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(a211_type, type, ( % 0.19/0.40 a211: $i)). % 0.19/0.40 tff(a202_type, type, ( % 0.19/0.40 a202: $i)). % 0.19/0.40 tff(c5_0_type, type, ( % 0.19/0.40 c5_0: $o)). % 0.19/0.40 tff(a210_type, type, ( % 0.19/0.40 a210: $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(a200_type, type, ( % 0.19/0.40 a200: $i)). % 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(a201_type, type, ( % 0.19/0.40 a201: $i)). % 0.19/0.40 tff(ssSkC2_type, type, ( % 0.19/0.40 ssSkC2: $o)). % 0.19/0.40 tff(a198_type, type, ( % 0.19/0.40 a198: $i)). % 0.19/0.40 tff(c4_0_type, type, ( % 0.19/0.40 c4_0: $o)). % 0.19/0.40 tff(a189_type, type, ( % 0.19/0.40 a189: $i)). % 0.19/0.40 tff(k!58_type, type, ( % 0.19/0.40 k!58: $i > $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(ssSkP0_type, type, ( % 0.19/0.40 ssSkP0: $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(c4_1_type, type, ( % 0.19/0.40 c4_1: $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(c1_1_type, type, ( % 0.19/0.40 c1_1: $i > $o)). % 0.19/0.40 tff(formula1, axiom, % 0.19/0.40 a213 = $i!val!12). % 0.19/0.40 tff(formula2, axiom, % 0.19/0.40 a215 = $i!val!7). % 0.19/0.40 tff(formula3, axiom, % 0.19/0.40 ssSkC4 <=> $false). % 0.19/0.40 tff(formula4, axiom, % 0.19/0.40 ssSkC3 <=> $false). % 0.19/0.40 tff(formula5, axiom, % 0.19/0.40 c2_0 <=> $false). % 0.19/0.40 tff(formula6, axiom, % 0.19/0.40 a209 = $i!val!0). % 0.19/0.40 tff(formula7, axiom, % 0.19/0.40 ssSkC1 <=> $false). % 0.19/0.40 tff(formula8, axiom, % 0.19/0.40 a204 = $i!val!13). % 0.19/0.40 tff(formula9, axiom, % 0.19/0.40 ssSkC5 <=> $false). % 0.19/0.40 tff(formula10, axiom, % 0.19/0.40 a191 = $i!val!2). % 0.19/0.40 tff(formula11, axiom, % 0.19/0.40 a203 = $i!val!5). % 0.19/0.40 tff(formula12, axiom, % 0.19/0.40 ssSkC0 <=> $false). % 0.19/0.40 tff(formula13, axiom, % 0.19/0.40 ndr1_0 <=> $true). % 0.19/0.40 tff(formula14, axiom, % 0.19/0.40 c3_0 <=> $false). % 0.19/0.40 tff(formula15, axiom, % 0.19/0.40 a195 = $i!val!10). % 0.19/0.40 tff(formula16, axiom, % 0.19/0.40 a216 = $i!val!4). % 0.19/0.40 tff(formula17, axiom, % 0.19/0.40 a188 = $i!val!3). % 0.19/0.40 tff(formula18, axiom, % 0.19/0.40 a190 = $i!val!14). % 0.19/0.40 tff(formula19, axiom, % 0.19/0.40 a217 = $i!val!11). % 0.19/0.40 tff(formula20, axiom, % 0.19/0.40 ssSkC6 <=> $false). % 0.19/0.40 tff(formula21, axiom, % 0.19/0.40 a197 = $i!val!12). % 0.19/0.40 tff(formula22, axiom, % 0.19/0.40 a196 = $i!val!13). % 0.19/0.40 tff(formula23, axiom, % 0.19/0.40 a205 = $i!val!9). % 0.19/0.40 tff(formula24, axiom, % 0.19/0.40 a211 = $i!val!8). % 0.19/0.40 tff(formula25, axiom, % 0.19/0.40 a202 = $i!val!9). % 0.19/0.40 tff(formula26, axiom, % 0.19/0.40 c5_0 <=> $false). % 0.19/0.40 tff(formula27, axiom, % 0.19/0.40 a210 = $i!val!0). % 0.19/0.40 tff(formula28, axiom, % 0.19/0.40 a200 = $i!val!1). % 0.19/0.40 tff(formula29, axiom, % 0.19/0.40 a201 = $i!val!6). % 0.19/0.40 tff(formula30, axiom, % 0.19/0.40 ssSkC2 <=> $false). % 0.19/0.40 tff(formula31, axiom, % 0.19/0.40 a198 = $i!val!12). % 0.19/0.40 tff(formula32, axiom, % 0.19/0.40 c4_0 <=> $false). % 0.19/0.40 tff(formula33, axiom, % 0.19/0.40 a189 = $i!val!11). % 0.19/0.40 tff(formula34, axiom, % 0.19/0.40 ![X0: $i] : (ndr1_1(X0) <=> (~(k!58(X0) = $i!val!10)))). % 0.19/0.40 tff(formula35, axiom, % 0.19/0.40 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> (((k!58(X1) = $i!val!3) & (X0 = $i!val!11)) | ((k!58(X1) = $i!val!0) & (X0 = $i!val!12) & (~(X0 = $i!val!11)))))). % 0.19/0.40 tff(formula36, axiom, % 0.19/0.40 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> (~((k!58(X1) = $i!val!3) & (X0 = $i!val!11))))). % 0.19/0.40 tff(formula37, axiom, % 0.19/0.40 ![X0: $i] : (c5_1(X0) <=> (k!58(X0) = $i!val!2))). % 0.19/0.40 tff(formula38, axiom, % 0.19/0.40 ![X0: $i] : (ssSkP0(X0) <=> $true)). % 0.19/0.40 tff(formula39, axiom, % 0.19/0.40 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (~((k!58(X1) = $i!val!0) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!12)) & (~(X0 = $i!val!11)))))). % 0.19/0.40 tff(formula40, axiom, % 0.19/0.40 ![X0: $i] : (c3_1(X0) <=> ((k!58(X0) = $i!val!1) | (k!58(X0) = $i!val!3)))). % 0.19/0.40 tff(formula41, axiom, % 0.19/0.40 ![X0: $i] : (c2_1(X0) <=> (k!58(X0) = $i!val!2))). % 0.19/0.40 tff(formula42, axiom, % 0.19/0.40 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> $true)). % 0.19/0.40 tff(formula43, axiom, % 0.19/0.40 k!58($i!val!5) = $i!val!5). % 0.19/0.40 tff(formula44, axiom, % 0.19/0.40 k!58($i!val!7) = $i!val!7). % 0.19/0.40 tff(formula45, axiom, % 0.19/0.40 k!58($i!val!0) = $i!val!0). % 0.19/0.40 tff(formula46, axiom, % 0.19/0.40 k!58($i!val!6) = $i!val!6). % 0.19/0.40 tff(formula47, axiom, % 0.19/0.40 k!58($i!val!1) = $i!val!1). % 0.19/0.40 tff(formula48, axiom, % 0.19/0.40 k!58($i!val!10) = $i!val!10). % 0.19/0.40 tff(formula49, axiom, % 0.19/0.40 k!58($i!val!14) = $i!val!14). % 0.19/0.40 tff(formula50, axiom, % 0.19/0.40 k!58($i!val!3) = $i!val!3). % 0.19/0.40 tff(formula51, axiom, % 0.19/0.40 k!58($i!val!4) = $i!val!4). % 0.19/0.40 tff(formula52, axiom, % 0.19/0.40 k!58($i!val!9) = $i!val!9). % 0.19/0.40 tff(formula53, axiom, % 0.19/0.40 ![X0: $i] : ((~((($i!val!5 = X0)) | (($i!val!7 = X0)) | (($i!val!0 = X0)) | (($i!val!6 = X0)) | (($i!val!1 = X0)) | (($i!val!10 = X0)) | (($i!val!14 = X0)) | (($i!val!3 = X0)) | (($i!val!4 = X0)) | (($i!val!9 = X0)))) => (k!58(X0) = $i!val!2))). % 0.19/0.40 tff(formula54, axiom, % 0.19/0.40 ![X0: $i] : (c4_1(X0) <=> $false)). % 0.19/0.40 tff(formula55, axiom, % 0.19/0.40 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> $false)). % 0.19/0.40 tff(formula56, axiom, % 0.19/0.40 ![X0: $i] : (c1_1(X0) <=> (~(k!58(X0) = $i!val!10)))). % 0.19/0.40 % SZS output end Model % 0.19/0.40 % E exiting %------------------------------------------------------------------------------