%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN527+1 : TPTP v9.0.0. Released v2.1.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n010.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 : CounterSatisfiable 0.12s 0.38s % Output : Model 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN527+1 : TPTP v9.0.0. Released v2.1.0. % 0.07/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n010.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 12:39:12 EDT 2025 % 0.12/0.33 % CPUTime : % 0.12/0.38 % SZS status CounterSatisfiable % 0.12/0.38 % SZS output start Model % 0.12/0.38 tff(c1_0_type, type, ( % 0.12/0.38 c1_0: $o)). % 0.12/0.38 tff(c2_0_type, type, ( % 0.12/0.38 c2_0: $o)). % 0.12/0.38 tff(tptp_fun__i_val_7_type, type, ( % 0.12/0.38 tptp_fun__i_val_7: $i)). % 0.12/0.38 tff(a276_type, type, ( % 0.12/0.38 a276: $i)). % 0.12/0.38 tff(tptp_fun__i_val_3_type, type, ( % 0.12/0.38 tptp_fun__i_val_3: $i)). % 0.12/0.38 tff(a263_type, type, ( % 0.12/0.38 a263: $i)). % 0.12/0.38 tff(tptp_fun__i_val_6_type, type, ( % 0.12/0.38 tptp_fun__i_val_6: $i)). % 0.12/0.38 tff(a275_type, type, ( % 0.12/0.38 a275: $i)). % 0.12/0.38 tff(tptp_fun__i_val_1_type, type, ( % 0.12/0.38 tptp_fun__i_val_1: $i)). % 0.12/0.38 tff(a259_type, type, ( % 0.12/0.38 a259: $i)). % 0.12/0.38 tff(tptp_fun__i_val_2_type, type, ( % 0.12/0.38 tptp_fun__i_val_2: $i)). % 0.12/0.38 tff(a262_type, type, ( % 0.12/0.38 a262: $i)). % 0.12/0.38 tff(tptp_fun__i_val_5_type, type, ( % 0.12/0.38 tptp_fun__i_val_5: $i)). % 0.12/0.38 tff(a271_type, type, ( % 0.12/0.38 a271: $i)). % 0.12/0.38 tff(tptp_fun__i_val_8_type, type, ( % 0.12/0.38 tptp_fun__i_val_8: $i)). % 0.12/0.38 tff(a272_type, type, ( % 0.12/0.38 a272: $i)). % 0.12/0.38 tff(tptp_fun__i_val_4_type, type, ( % 0.12/0.38 tptp_fun__i_val_4: $i)). % 0.12/0.38 tff(a270_type, type, ( % 0.12/0.38 a270: $i)). % 0.12/0.38 tff(c5_0_type, type, ( % 0.12/0.38 c5_0: $o)). % 0.12/0.38 tff(ndr1_0_type, type, ( % 0.12/0.38 ndr1_0: $o)). % 0.12/0.38 tff(c3_0_type, type, ( % 0.12/0.38 c3_0: $o)). % 0.12/0.38 tff(tptp_fun__i_val_0_type, type, ( % 0.12/0.38 tptp_fun__i_val_0: $i)). % 0.12/0.38 tff(a258_type, type, ( % 0.12/0.38 a258: $i)). % 0.12/0.38 tff(c4_0_type, type, ( % 0.12/0.38 c4_0: $o)). % 0.12/0.38 tff(tptp_fun__i_val_9_type, type, ( % 0.12/0.38 tptp_fun__i_val_9: $i)). % 0.12/0.38 tff(a273_type, type, ( % 0.12/0.38 a273: $i)). % 0.12/0.38 tff(ndr1_1_type, type, ( % 0.12/0.38 ndr1_1: $i > $o)). % 0.12/0.38 tff(c3_2_type, type, ( % 0.12/0.38 c3_2: ( $i * $i ) > $o)). % 0.12/0.38 tff(c4_2_type, type, ( % 0.12/0.38 c4_2: ( $i * $i ) > $o)). % 0.12/0.38 tff(c5_1_type, type, ( % 0.12/0.38 c5_1: $i > $o)). % 0.12/0.38 tff(c5_2_type, type, ( % 0.12/0.38 c5_2: ( $i * $i ) > $o)). % 0.12/0.38 tff(c2_1_type, type, ( % 0.12/0.38 c2_1: $i > $o)). % 0.12/0.38 tff(c2_2_type, type, ( % 0.12/0.38 c2_2: ( $i * $i ) > $o)). % 0.12/0.38 tff(c4_1_type, type, ( % 0.12/0.38 c4_1: $i > $o)). % 0.12/0.38 tff(c1_2_type, type, ( % 0.12/0.38 c1_2: ( $i * $i ) > $o)). % 0.12/0.38 tff(formula1, axiom, % 0.12/0.38 c1_0 <=> $true). % 0.12/0.38 tff(formula2, axiom, % 0.12/0.38 c2_0 <=> $true). % 0.12/0.38 tff(formula3, axiom, % 0.12/0.38 a276 = $i!val!7). % 0.12/0.38 tff(formula4, axiom, % 0.12/0.38 a263 = $i!val!3). % 0.12/0.38 tff(formula5, axiom, % 0.12/0.38 a275 = $i!val!6). % 0.12/0.38 tff(formula6, axiom, % 0.12/0.38 a259 = $i!val!1). % 0.12/0.38 tff(formula7, axiom, % 0.12/0.38 a262 = $i!val!2). % 0.12/0.38 tff(formula8, axiom, % 0.12/0.38 a271 = $i!val!5). % 0.12/0.38 tff(formula9, axiom, % 0.12/0.38 a272 = $i!val!8). % 0.12/0.38 tff(formula10, axiom, % 0.12/0.38 a270 = $i!val!4). % 0.12/0.38 tff(formula11, axiom, % 0.12/0.38 c5_0 <=> $false). % 0.12/0.38 tff(formula12, axiom, % 0.12/0.38 ndr1_0 <=> $true). % 0.12/0.38 tff(formula13, axiom, % 0.12/0.38 c3_0 <=> $true). % 0.12/0.38 tff(formula14, axiom, % 0.12/0.38 a258 = $i!val!0). % 0.12/0.38 tff(formula15, axiom, % 0.12/0.38 c4_0 <=> $false). % 0.12/0.38 tff(formula16, axiom, % 0.12/0.38 a273 = $i!val!9). % 0.12/0.38 tff(formula17, axiom, % 0.12/0.38 ![X0: $i] : (ndr1_1(X0) <=> $true)). % 0.12/0.38 tff(formula18, axiom, % 0.12/0.38 ![X0: $i, X1: $i] : (c3_2(X0, X1) <=> (~((X1 = $i!val!2) & (~(X1 = $i!val!4)) & (X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5)))))). % 0.12/0.38 tff(formula19, axiom, % 0.12/0.38 ![X0: $i, X1: $i] : (c4_2(X0, X1) <=> $true)). % 0.12/0.38 tff(formula20, axiom, % 0.12/0.38 ![X0: $i] : (c5_1(X0) <=> $false)). % 0.12/0.38 tff(formula21, axiom, % 0.12/0.38 ![X0: $i, X1: $i] : (c5_2(X0, X1) <=> (((X1 = $i!val!4) & (X0 = $i!val!5)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!4)) & (X0 = $i!val!1))))). % 0.12/0.38 tff(formula22, axiom, % 0.12/0.38 ![X0: $i] : (c2_1(X0) <=> $false)). % 0.12/0.38 tff(formula23, axiom, % 0.12/0.38 ![X0: $i, X1: $i] : (c2_2(X0, X1) <=> (((X1 = $i!val!2) & (~(X1 = $i!val!4)) & (X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5))) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!4)) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5))) | ((X1 = $i!val!6) & (~(X1 = $i!val!2)) & (~(X1 = $i!val!4)) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5)))))). % 0.12/0.38 tff(formula24, axiom, % 0.12/0.38 ![X0: $i] : (c4_1(X0) <=> $true)). % 0.12/0.38 tff(formula25, axiom, % 0.12/0.38 ![X0: $i, X1: $i] : (c1_2(X0, X1) <=> ((~((X1 = $i!val!4) & (X0 = $i!val!8) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5)))) & (~((X1 = $i!val!2) & (~(X1 = $i!val!4)) & (X0 = $i!val!8) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!5))))))). % 0.12/0.38 % SZS output end Model % 0.12/0.38 % E exiting %------------------------------------------------------------------------------