%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN537+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 05:39:30 AM UTC 2025 % Result : CounterSatisfiable 0.18s 0.39s % Output : Model 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SYN537+1 : TPTP v9.0.0. Released v2.1.0. % 0.03/0.11 % 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 12:37:20 EDT 2025 % 0.17/0.32 % CPUTime : % 0.18/0.39 % SZS status CounterSatisfiable % 0.18/0.39 % SZS output start Model % 0.18/0.39 tff(tptp_fun__i_val_0_type, type, ( % 0.18/0.39 tptp_fun__i_val_0: $i)). % 0.18/0.39 tff(a648_type, type, ( % 0.18/0.39 a648: $i)). % 0.18/0.39 tff(tptp_fun__i_val_5_type, type, ( % 0.18/0.39 tptp_fun__i_val_5: $i)). % 0.18/0.39 tff(a665_type, type, ( % 0.18/0.39 a665: $i)). % 0.18/0.39 tff(c1_0_type, type, ( % 0.18/0.39 c1_0: $o)). % 0.18/0.39 tff(tptp_fun__i_val_4_type, type, ( % 0.18/0.39 tptp_fun__i_val_4: $i)). % 0.18/0.39 tff(a662_type, type, ( % 0.18/0.39 a662: $i)). % 0.18/0.39 tff(tptp_fun__i_val_6_type, type, ( % 0.18/0.39 tptp_fun__i_val_6: $i)). % 0.18/0.39 tff(a667_type, type, ( % 0.18/0.39 a667: $i)). % 0.18/0.39 tff(tptp_fun__i_val_8_type, type, ( % 0.18/0.39 tptp_fun__i_val_8: $i)). % 0.18/0.39 tff(a674_type, type, ( % 0.18/0.39 a674: $i)). % 0.18/0.39 tff(c2_0_type, type, ( % 0.18/0.39 c2_0: $o)). % 0.18/0.39 tff(tptp_fun__i_val_9_type, type, ( % 0.18/0.39 tptp_fun__i_val_9: $i)). % 0.18/0.39 tff(a680_type, type, ( % 0.18/0.39 a680: $i)). % 0.18/0.39 tff(tptp_fun__i_val_12_type, type, ( % 0.18/0.39 tptp_fun__i_val_12: $i)). % 0.18/0.39 tff(a658_type, type, ( % 0.18/0.39 a658: $i)). % 0.18/0.39 tff(tptp_fun__i_val_15_type, type, ( % 0.18/0.39 tptp_fun__i_val_15: $i)). % 0.18/0.39 tff(a673_type, type, ( % 0.18/0.39 a673: $i)). % 0.18/0.39 tff(a650_type, type, ( % 0.18/0.39 a650: $i)). % 0.18/0.39 tff(tptp_fun__i_val_11_type, type, ( % 0.18/0.39 tptp_fun__i_val_11: $i)). % 0.18/0.39 tff(a649_type, type, ( % 0.18/0.39 a649: $i)). % 0.18/0.39 tff(tptp_fun__i_val_10_type, type, ( % 0.18/0.39 tptp_fun__i_val_10: $i)). % 0.18/0.39 tff(a679_type, type, ( % 0.18/0.39 a679: $i)). % 0.18/0.39 tff(c5_0_type, type, ( % 0.18/0.39 c5_0: $o)). % 0.18/0.39 tff(tptp_fun__i_val_3_type, type, ( % 0.18/0.39 tptp_fun__i_val_3: $i)). % 0.18/0.39 tff(a661_type, type, ( % 0.18/0.39 a661: $i)). % 0.18/0.39 tff(tptp_fun__i_val_14_type, type, ( % 0.18/0.39 tptp_fun__i_val_14: $i)). % 0.18/0.39 tff(a656_type, type, ( % 0.18/0.39 a656: $i)). % 0.18/0.39 tff(ndr1_0_type, type, ( % 0.18/0.39 ndr1_0: $o)). % 0.18/0.39 tff(c3_0_type, type, ( % 0.18/0.39 c3_0: $o)). % 0.18/0.39 tff(tptp_fun__i_val_2_type, type, ( % 0.18/0.39 tptp_fun__i_val_2: $i)). % 0.18/0.39 tff(a660_type, type, ( % 0.18/0.39 a660: $i)). % 0.18/0.39 tff(tptp_fun__i_val_7_type, type, ( % 0.18/0.39 tptp_fun__i_val_7: $i)). % 0.18/0.39 tff(a668_type, type, ( % 0.18/0.39 a668: $i)). % 0.18/0.39 tff(tptp_fun__i_val_13_type, type, ( % 0.18/0.39 tptp_fun__i_val_13: $i)). % 0.18/0.39 tff(a647_type, type, ( % 0.18/0.39 a647: $i)). % 0.18/0.39 tff(c4_0_type, type, ( % 0.18/0.39 c4_0: $o)). % 0.18/0.39 tff(tptp_fun__i_val_1_type, type, ( % 0.18/0.39 tptp_fun__i_val_1: $i)). % 0.18/0.39 tff(a659_type, type, ( % 0.18/0.39 a659: $i)). % 0.18/0.39 tff(c3_2_type, type, ( % 0.18/0.39 c3_2: ( $i * $i ) > $o)). % 0.18/0.39 tff(ndr1_1_type, type, ( % 0.18/0.39 ndr1_1: $i > $o)). % 0.18/0.39 tff(c4_2_type, type, ( % 0.18/0.39 c4_2: ( $i * $i ) > $o)). % 0.18/0.39 tff(c5_1_type, type, ( % 0.18/0.39 c5_1: $i > $o)). % 0.18/0.39 tff(c5_2_type, type, ( % 0.18/0.39 c5_2: ( $i * $i ) > $o)). % 0.18/0.39 tff(c3_1_type, type, ( % 0.18/0.39 c3_1: $i > $o)). % 0.18/0.39 tff(c2_1_type, type, ( % 0.18/0.39 c2_1: $i > $o)). % 0.18/0.39 tff(c2_2_type, type, ( % 0.18/0.39 c2_2: ( $i * $i ) > $o)). % 0.18/0.39 tff(c4_1_type, type, ( % 0.18/0.39 c4_1: $i > $o)). % 0.18/0.39 tff(c1_2_type, type, ( % 0.18/0.39 c1_2: ( $i * $i ) > $o)). % 0.18/0.39 tff(c1_1_type, type, ( % 0.18/0.39 c1_1: $i > $o)). % 0.18/0.39 tff(formula1, axiom, % 0.18/0.39 a648 = $i!val!0). % 0.18/0.39 tff(formula2, axiom, % 0.18/0.39 a665 = $i!val!5). % 0.18/0.39 tff(formula3, axiom, % 0.18/0.39 c1_0 <=> $true). % 0.18/0.39 tff(formula4, axiom, % 0.18/0.39 a662 = $i!val!4). % 0.18/0.39 tff(formula5, axiom, % 0.18/0.39 a667 = $i!val!6). % 0.18/0.39 tff(formula6, axiom, % 0.18/0.39 a674 = $i!val!8). % 0.18/0.39 tff(formula7, axiom, % 0.18/0.39 c2_0 <=> $false). % 0.18/0.39 tff(formula8, axiom, % 0.18/0.39 a680 = $i!val!9). % 0.18/0.39 tff(formula9, axiom, % 0.18/0.39 a658 = $i!val!12). % 0.18/0.39 tff(formula10, axiom, % 0.18/0.39 a673 = $i!val!15). % 0.18/0.39 tff(formula11, axiom, % 0.18/0.39 a650 = $i!val!5). % 0.18/0.39 tff(formula12, axiom, % 0.18/0.39 a649 = $i!val!11). % 0.18/0.39 tff(formula13, axiom, % 0.18/0.39 a679 = $i!val!10). % 0.18/0.39 tff(formula14, axiom, % 0.18/0.39 c5_0 <=> $false). % 0.18/0.39 tff(formula15, axiom, % 0.18/0.39 a661 = $i!val!3). % 0.18/0.39 tff(formula16, axiom, % 0.18/0.39 a656 = $i!val!14). % 0.18/0.39 tff(formula17, axiom, % 0.18/0.39 ndr1_0 <=> $true). % 0.18/0.39 tff(formula18, axiom, % 0.18/0.39 c3_0 <=> $false). % 0.18/0.39 tff(formula19, axiom, % 0.18/0.39 a660 = $i!val!2). % 0.18/0.39 tff(formula20, axiom, % 0.18/0.39 a668 = $i!val!7). % 0.18/0.39 tff(formula21, axiom, % 0.18/0.39 a647 = $i!val!13). % 0.18/0.39 tff(formula22, axiom, % 0.18/0.39 c4_0 <=> $false). % 0.18/0.39 tff(formula23, axiom, % 0.18/0.39 a659 = $i!val!1). % 0.18/0.39 tff(formula24, axiom, % 0.18/0.39 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> $false)). % 0.18/0.39 tff(formula25, axiom, % 0.18/0.39 ![X0: $i] : (ndr1_1(X0) <=> (~((~(X0 = $i!val!0)) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!1)))))). % 0.18/0.39 tff(formula26, axiom, % 0.18/0.39 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> (((X1 = $i!val!6) & (~(X1 = $i!val!9)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!1)) & (X0 = $i!val!12) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!15)) & (~(X0 = $i!val!11))) | ((X1 = $i!val!1) & (X0 = $i!val!12) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!15)) & (~(X0 = $i!val!11))) | ((X1 = $i!val!8) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!9)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!1)) & (X0 = $i!val!11)) | ((X1 = $i!val!1) & (X0 = $i!val!11))))). % 0.18/0.40 tff(formula27, axiom, % 0.18/0.40 ![X0: $i] : (c5_1(X0) <=> $false)). % 0.18/0.40 tff(formula28, axiom, % 0.18/0.40 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (((X1 = $i!val!6) & (~(X1 = $i!val!9)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!1)) & (X0 = $i!val!12) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!15)) & (~(X0 = $i!val!11))) | ((X1 = $i!val!1) & (X0 = $i!val!12) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!15)) & (~(X0 = $i!val!11))) | ((X1 = $i!val!6) & (~(X1 = $i!val!9)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!1)) & (X0 = $i!val!13) & (~(X0 = $i!val!15)) & (~(X0 = $i!val!11))) | ((X1 = $i!val!8) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!9)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!1)) & (X0 = $i!val!13) & (~(X0 = $i!val!15)) & (~(X0 = $i!val!11))) | ((X1 = $i!val!2) & (~(X1 = $i!val!1)) & (X0 = $i!val!3) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!12)) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!15)) & (~(X0 = $i!val!11))) | ((X1 = $i!val!1) & (X0 = $i!val!13) & (~(X0 = $i!val!15)) & (~(X0 = $i!val!11)))))). % 0.18/0.40 tff(formula29, axiom, % 0.18/0.40 ![X0: $i] : (c3_1(X0) <=> ((X0 = $i!val!5) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!1))))). % 0.18/0.40 tff(formula30, axiom, % 0.18/0.40 ![X0: $i] : (c2_1(X0) <=> (((X0 = $i!val!8) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!1))) | (X0 = $i!val!1)))). % 0.18/0.40 tff(formula31, axiom, % 0.18/0.40 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> ((X1 = $i!val!2) & (~(X1 = $i!val!1)) & (X0 = $i!val!3) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!12)) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!15)) & (~(X0 = $i!val!11))))). % 0.18/0.40 tff(formula32, axiom, % 0.18/0.40 ![X0: $i] : (c4_1(X0) <=> ((X0 = $i!val!8) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!1))))). % 0.18/0.40 tff(formula33, axiom, % 0.18/0.40 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> (((X1 = $i!val!1) & (X0 = $i!val!11)) | ((X1 = $i!val!8) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!9)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!1)) & (X0 = $i!val!11))))). % 0.18/0.40 tff(formula34, axiom, % 0.18/0.40 ![X0: $i] : (c1_1(X0) <=> $false)). % 0.18/0.40 % SZS output end Model % 0.18/0.40 % E exiting %------------------------------------------------------------------------------