%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN720-1 : TPTP v9.0.0. Released v2.5.0. % 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 05:39:54 AM UTC 2025 % Result : Satisfiable 1.03s 1.19s % Output : Model 1.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN720-1 : TPTP v9.0.0. Released v2.5.0. % 0.03/0.12 % Command : run_E %s %d THM % 0.11/0.33 % Computer : n015.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 300 % 0.11/0.33 % DateTime : Fri Jun 20 12:40:56 EDT 2025 % 0.11/0.33 % CPUTime : % 1.03/1.19 % SZS status Satisfiable % 1.03/1.19 % SZS output start Model % 1.03/1.19 tff(tptp_fun__i_val_3_type, type, ( % 1.03/1.19 tptp_fun__i_val_3: $i)). % 1.03/1.19 tff(b_type, type, ( % 1.03/1.19 b: $i)). % 1.03/1.19 tff(tptp_fun__i_val_4_type, type, ( % 1.03/1.19 tptp_fun__i_val_4: $i)). % 1.03/1.19 tff(c_type, type, ( % 1.03/1.19 c: $i)). % 1.03/1.19 tff(tptp_fun__i_val_1_type, type, ( % 1.03/1.19 tptp_fun__i_val_1: $i)). % 1.03/1.19 tff(e_type, type, ( % 1.03/1.19 e: $i)). % 1.03/1.19 tff(tptp_fun__i_val_2_type, type, ( % 1.03/1.19 tptp_fun__i_val_2: $i)). % 1.03/1.19 tff(a_type, type, ( % 1.03/1.19 a: $i)). % 1.03/1.19 tff(tptp_fun__i_val_0_type, type, ( % 1.03/1.19 tptp_fun__i_val_0: $i)). % 1.03/1.19 tff(d_type, type, ( % 1.03/1.19 d: $i)). % 1.03/1.19 tff(p1_type, type, ( % 1.03/1.19 p1: ( $i * $i * $i ) > $o)). % 1.03/1.19 tff(q0_type, type, ( % 1.03/1.19 q0: ( $i * $i ) > $o)). % 1.03/1.19 tff(r5_type, type, ( % 1.03/1.19 r5: ( $i * $i ) > $o)). % 1.03/1.19 tff(n2_type, type, ( % 1.03/1.19 n2: $i > $o)). % 1.03/1.19 tff(m0_type, type, ( % 1.03/1.19 m0: ( $i * $i * $i ) > $o)). % 1.03/1.19 tff(p0_type, type, ( % 1.03/1.19 p0: ( $i * $i ) > $o)). % 1.03/1.19 tff(k5_type, type, ( % 1.03/1.19 k5: $i > $o)). % 1.03/1.19 tff(m3_type, type, ( % 1.03/1.19 m3: ( $i * $i * $i ) > $o)). % 1.03/1.19 tff(l1_type, type, ( % 1.03/1.19 l1: ( $i * $i ) > $o)). % 1.03/1.19 tff(l0_type, type, ( % 1.03/1.19 l0: $i > $o)). % 1.03/1.19 tff(l4_type, type, ( % 1.03/1.19 l4: $i > $o)). % 1.03/1.19 tff(k1_type, type, ( % 1.03/1.19 k1: $i > $o)). % 1.03/1.19 tff(r4_type, type, ( % 1.03/1.19 r4: $i > $o)). % 1.03/1.19 tff(r0_type, type, ( % 1.03/1.19 r0: $i > $o)). % 1.03/1.19 tff(r2_type, type, ( % 1.03/1.19 r2: $i > $o)). % 1.03/1.19 tff(s3_type, type, ( % 1.03/1.19 s3: ( $i * $i ) > $o)). % 1.03/1.19 tff(l2_type, type, ( % 1.03/1.19 l2: ( $i * $i ) > $o)). % 1.03/1.19 tff(s5_type, type, ( % 1.03/1.19 s5: $i > $o)). % 1.03/1.19 tff(m1_type, type, ( % 1.03/1.19 m1: ( $i * $i * $i ) > $o)). % 1.03/1.19 tff(p5_type, type, ( % 1.03/1.19 p5: ( $i * $i * $i ) > $o)). % 1.03/1.19 tff(p2_type, type, ( % 1.03/1.19 p2: ( $i * $i * $i ) > $o)). % 1.03/1.19 tff(p4_type, type, ( % 1.03/1.19 p4: ( $i * $i * $i ) > $o)). % 1.03/1.19 tff(k2_type, type, ( % 1.03/1.19 k2: ( $i * $i ) > $o)). % 1.03/1.19 tff(k0_type, type, ( % 1.03/1.19 k0: $i > $o)). % 1.03/1.19 tff(n4_type, type, ( % 1.03/1.19 n4: ( $i * $i ) > $o)). % 1.03/1.19 tff(s2_type, type, ( % 1.03/1.19 s2: $i > $o)). % 1.03/1.19 tff(n5_type, type, ( % 1.03/1.19 n5: ( $i * $i ) > $o)). % 1.03/1.19 tff(q5_type, type, ( % 1.03/1.19 q5: ( $i * $i ) > $o)). % 1.03/1.19 tff(n0_type, type, ( % 1.03/1.19 n0: ( $i * $i ) > $o)). % 1.03/1.19 tff(s4_type, type, ( % 1.03/1.19 s4: $i > $o)). % 1.03/1.19 tff(s1_type, type, ( % 1.03/1.19 s1: $i > $o)). % 1.03/1.19 tff(m5_type, type, ( % 1.03/1.19 m5: ( $i * $i ) > $o)). % 1.03/1.19 tff(s0_type, type, ( % 1.03/1.19 s0: $i > $o)). % 1.03/1.19 tff(q3_type, type, ( % 1.03/1.19 q3: ( $i * $i ) > $o)). % 1.03/1.19 tff(m2_type, type, ( % 1.03/1.19 m2: $i > $o)). % 1.03/1.19 tff(q4_type, type, ( % 1.03/1.19 q4: ( $i * $i ) > $o)). % 1.03/1.19 tff(l3_type, type, ( % 1.03/1.19 l3: ( $i * $i ) > $o)). % 1.03/1.19 tff(q2_type, type, ( % 1.03/1.19 q2: ( $i * $i * $i ) > $o)). % 1.03/1.19 tff(r3_type, type, ( % 1.03/1.19 r3: ( $i * $i * $i ) > $o)). % 1.03/1.19 tff(r1_type, type, ( % 1.03/1.19 r1: $i > $o)). % 1.03/1.19 tff(p3_type, type, ( % 1.03/1.19 p3: ( $i * $i * $i ) > $o)). % 1.03/1.19 tff(n3_type, type, ( % 1.03/1.19 n3: $i > $o)). % 1.03/1.19 tff(m4_type, type, ( % 1.03/1.19 m4: ( $i * $i ) > $o)). % 1.03/1.19 tff(n1_type, type, ( % 1.03/1.19 n1: ( $i * $i * $i ) > $o)). % 1.03/1.19 tff(k3_type, type, ( % 1.03/1.19 k3: ( $i * $i * $i ) > $o)). % 1.03/1.19 tff(k4_type, type, ( % 1.03/1.19 k4: $i > $o)). % 1.03/1.19 tff(l5_type, type, ( % 1.03/1.19 l5: $i > $o)). % 1.03/1.19 tff(q1_type, type, ( % 1.03/1.19 q1: ( $i * $i * $i ) > $o)). % 1.03/1.19 tff(formula1, axiom, % 1.03/1.19 b = $i!val!3). % 1.03/1.19 tff(formula2, axiom, % 1.03/1.19 c = $i!val!4). % 1.03/1.19 tff(formula3, axiom, % 1.03/1.19 e = $i!val!1). % 1.03/1.19 tff(formula4, axiom, % 1.03/1.19 a = $i!val!2). % 1.03/1.19 tff(formula5, axiom, % 1.03/1.19 d = $i!val!0). % 1.03/1.19 tff(formula6, axiom, % 1.03/1.19 ![X0: $i, X1: $i, X2: $i] : (p1(X0, X1, X2) <=> ((~((X2 = $i!val!1) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!2) & (X1 = $i!val!2) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!2) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!2) & (X1 = $i!val!1) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!2) & (X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!3) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!1) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((~(X2 = $i!val!3)) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!0) & (~(X0 = $i!val!2)))) & (~((~(X2 = $i!val!3)) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!2) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((~(X2 = $i!val!3)) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!2) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!2) & (X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((~(X2 = $i!val!3)) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!1) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!2) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!1) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!2) & (X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!2) & (X1 = $i!val!1) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!2) & (X1 = $i!val!2) & (X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))))))). % 1.03/1.19 tff(formula7, axiom, % 1.03/1.19 ![X0: $i, X1: $i] : (q0(X0, X1) <=> ((~((~(X1 = $i!val!3)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((~(X1 = $i!val!3)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))))))). % 1.03/1.19 tff(formula8, axiom, % 1.03/1.19 ![X0: $i, X1: $i] : (r5(X0, X1) <=> $true)). % 1.03/1.19 tff(formula9, axiom, % 1.03/1.19 ![X0: $i] : (n2(X0) <=> $true)). % 1.03/1.19 tff(formula10, axiom, % 1.03/1.19 ![X0: $i, X1: $i, X2: $i] : (m0(X0, X1, X2) <=> (((X2 = $i!val!3) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!2) & (X0 = $i!val!2)) | ((~(X2 = $i!val!3)) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!2)) | ((X2 = $i!val!2) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((~(X2 = $i!val!3)) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X2 = $i!val!2) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X2 = $i!val!2) & (X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!2)) | ((X2 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!2)) | ((X2 = $i!val!1) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X2 = $i!val!1) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!2)) | ((X2 = $i!val!0) & (~(X2 = $i!val!2)) & (X1 = $i!val!1) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X2 = $i!val!0) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!0) & (~(X0 = $i!val!2))) | ((X2 = $i!val!1) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X2 = $i!val!3) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X2 = $i!val!1) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((~(X2 = $i!val!3)) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!2)) | ((X2 = $i!val!3) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X2 = $i!val!3) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((~(X2 = $i!val!3)) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X2 = $i!val!2) & (X1 = $i!val!1) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!2)) | ((~(X2 = $i!val!3)) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X2 = $i!val!0) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X2 = $i!val!0) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X2 = $i!val!3) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X2 = $i!val!0) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X2 = $i!val!3) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!2)) | ((X2 = $i!val!1) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X2 = $i!val!2) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X2 = $i!val!0) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!2)) | ((X2 = $i!val!2) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!0) & (~(X0 = $i!val!2))) | ((~(X2 = $i!val!3)) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!0) & (~(X0 = $i!val!2))) | ((X2 = $i!val!2) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!2)) | ((X2 = $i!val!3) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!0) & (~(X0 = $i!val!2))) | ((X2 = $i!val!1) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!0) & (~(X0 = $i!val!2))) | ((X2 = $i!val!2) & (X1 = $i!val!1) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X2 = $i!val!2) & (X1 = $i!val!2) & (X0 = $i!val!2))))). % 1.03/1.19 tff(formula11, axiom, % 1.03/1.19 ![X0: $i, X1: $i] : (p0(X0, X1) <=> (((X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!0) & (~(X0 = $i!val!2))) | ((X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!2)) | ((~(X1 = $i!val!3)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))))). % 1.03/1.19 tff(formula12, axiom, % 1.03/1.19 ![X0: $i] : (k5(X0) <=> $true)). % 1.03/1.19 tff(formula13, axiom, % 1.03/1.19 ![X0: $i, X1: $i, X2: $i] : (m3(X0, X1, X2) <=> $true)). % 1.03/1.19 tff(formula14, axiom, % 1.03/1.19 ![X0: $i, X1: $i] : (l1(X0, X1) <=> ((~((~(X1 = $i!val!3)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!2))) & (~((~(X1 = $i!val!3)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!2))) & (~((X1 = $i!val!2) & (X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((~(X1 = $i!val!3)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X1 = $i!val!1) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X1 = $i!val!2) & (X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))))))). % 1.03/1.19 tff(formula15, axiom, % 1.03/1.19 ![X0: $i] : (l0(X0) <=> (((~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | (X0 = $i!val!2)))). % 1.03/1.19 tff(formula16, axiom, % 1.03/1.19 ![X0: $i] : (l4(X0) <=> $true)). % 1.03/1.19 tff(formula17, axiom, % 1.03/1.19 ![X0: $i] : (k1(X0) <=> $true)). % 1.03/1.19 tff(formula18, axiom, % 1.03/1.19 ![X0: $i] : (r4(X0) <=> $true)). % 1.03/1.19 tff(formula19, axiom, % 1.03/1.19 ![X0: $i] : (r0(X0) <=> (((X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))))). % 1.03/1.19 tff(formula20, axiom, % 1.03/1.19 ![X0: $i] : (r2(X0) <=> ((X0 = $i!val!2) | ((~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))))). % 1.03/1.19 tff(formula21, axiom, % 1.03/1.19 ![X0: $i, X1: $i] : (s3(X0, X1) <=> $true)). % 1.03/1.19 tff(formula22, axiom, % 1.03/1.19 ![X0: $i, X1: $i] : (l2(X0, X1) <=> ((~((X1 = $i!val!1) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!0) & (~(X0 = $i!val!2)))) & (~((~(X1 = $i!val!3)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!2))) & (~((X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!0) & (~(X0 = $i!val!2)))) & (~((X1 = $i!val!2) & (X0 = $i!val!0) & (~(X0 = $i!val!2))))))). % 1.03/1.19 tff(formula23, axiom, % 1.03/1.19 ![X0: $i] : (s5(X0) <=> $true)). % 1.03/1.19 tff(formula24, axiom, % 1.03/1.19 ![X0: $i, X1: $i, X2: $i] : (m1(X0, X1, X2) <=> ((~((~(X2 = $i!val!3)) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!1) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!2) & (X1 = $i!val!1) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!0) & (~(X2 = $i!val!2)) & (X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!0) & (~(X0 = $i!val!2)))) & (~((~(X2 = $i!val!3)) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((~(X2 = $i!val!3)) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((~(X2 = $i!val!3)) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!2) & (X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!2) & (X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!0) & (~(X2 = $i!val!2)) & (X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!1) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((~(X2 = $i!val!3)) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!0) & (~(X2 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!0) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!0) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!3) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))))))). % 1.03/1.19 tff(formula25, axiom, % 1.03/1.19 ![X0: $i, X1: $i, X2: $i] : (p5(X0, X1, X2) <=> $true)). % 1.03/1.19 tff(formula26, axiom, % 1.03/1.19 ![X0: $i, X1: $i, X2: $i] : (p2(X0, X1, X2) <=> ((~((~(X2 = $i!val!3)) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!0) & (~(X2 = $i!val!2)) & (X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!3) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))))))). % 1.03/1.19 tff(formula27, axiom, % 1.03/1.19 ![X0: $i, X1: $i, X2: $i] : (p4(X0, X1, X2) <=> $true)). % 1.03/1.19 tff(formula28, axiom, % 1.03/1.19 ![X0: $i, X1: $i] : (k2(X0, X1) <=> $true)). % 1.03/1.19 tff(formula29, axiom, % 1.03/1.19 ![X0: $i] : (k0(X0) <=> (((X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))))). % 1.03/1.19 tff(formula30, axiom, % 1.03/1.19 ![X0: $i, X1: $i] : (n4(X0, X1) <=> $true)). % 1.03/1.19 tff(formula31, axiom, % 1.03/1.19 ![X0: $i] : (s2(X0) <=> $true)). % 1.03/1.19 tff(formula32, axiom, % 1.03/1.19 ![X0: $i, X1: $i] : (n5(X0, X1) <=> $true)). % 1.03/1.19 tff(formula33, axiom, % 1.03/1.19 ![X0: $i, X1: $i] : (q5(X0, X1) <=> $true)). % 1.03/1.19 tff(formula34, axiom, % 1.03/1.19 ![X0: $i, X1: $i] : (n0(X0, X1) <=> (((~(X1 = $i!val!3)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!0) & (~(X0 = $i!val!2))) | ((X1 = $i!val!0) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X1 = $i!val!2) & (X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X1 = $i!val!1) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))) | ((X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!2)) | ((X1 = $i!val!1) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))))). % 1.03/1.19 tff(formula35, axiom, % 1.03/1.19 ![X0: $i] : (s4(X0) <=> $true)). % 1.03/1.19 tff(formula36, axiom, % 1.03/1.19 ![X0: $i] : (s1(X0) <=> $true)). % 1.03/1.19 tff(formula37, axiom, % 1.03/1.19 ![X0: $i, X1: $i] : (m5(X0, X1) <=> $true)). % 1.03/1.19 tff(formula38, axiom, % 1.03/1.19 ![X0: $i] : (s0(X0) <=> (((X0 = $i!val!0) & (~(X0 = $i!val!2))) | ((X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))))). % 1.03/1.19 tff(formula39, axiom, % 1.03/1.19 ![X0: $i, X1: $i] : (q3(X0, X1) <=> ((~((X1 = $i!val!2) & (X0 = $i!val!0) & (~(X0 = $i!val!2)))) & (~((X1 = $i!val!1) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!2))) & (~((X1 = $i!val!2) & (X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!2))) & (~((~(X1 = $i!val!3)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((~(X1 = $i!val!3)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X1 = $i!val!1) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X1 = $i!val!2) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((~(X1 = $i!val!3)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!2)))))). % 1.03/1.19 tff(formula40, axiom, % 1.03/1.19 ![X0: $i] : (m2(X0) <=> (((X0 = $i!val!0) & (~(X0 = $i!val!2))) | ((X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))))). % 1.03/1.19 tff(formula41, axiom, % 1.03/1.19 ![X0: $i, X1: $i] : (q4(X0, X1) <=> $true)). % 1.03/1.19 tff(formula42, axiom, % 1.03/1.19 ![X0: $i, X1: $i] : (l3(X0, X1) <=> $true)). % 1.03/1.19 tff(formula43, axiom, % 1.03/1.19 ![X0: $i, X1: $i, X2: $i] : (q2(X0, X1, X2) <=> ((~((X2 = $i!val!2) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!2) & (X1 = $i!val!2) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!0) & (~(X2 = $i!val!2)) & (X1 = $i!val!1) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!2))) & (~((X2 = $i!val!0) & (~(X2 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!3) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!2) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!0) & (~(X2 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!3) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!0) & (~(X2 = $i!val!2)) & (X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((~(X2 = $i!val!3)) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!2))) & (~((X2 = $i!val!3) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!2) & (X0 = $i!val!0) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!2) & (X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!0) & (~(X2 = $i!val!2)) & (X1 = $i!val!1) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!1) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!3) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!2) & (X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!1) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!1) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!2))) & (~((X2 = $i!val!1) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!1) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!3) & (~(X2 = $i!val!1)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!3) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2)))) & (~((X2 = $i!val!0) & (~(X2 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!2)))))). % 1.03/1.20 tff(formula44, axiom, % 1.03/1.20 ![X0: $i, X1: $i, X2: $i] : (r3(X0, X1, X2) <=> $true)). % 1.03/1.20 tff(formula45, axiom, % 1.03/1.20 ![X0: $i] : (r1(X0) <=> $true)). % 1.03/1.20 tff(formula46, axiom, % 1.03/1.20 ![X0: $i, X1: $i, X2: $i] : (p3(X0, X1, X2) <=> $true)). % 1.03/1.20 tff(formula47, axiom, % 1.03/1.20 ![X0: $i] : (n3(X0) <=> $true)). % 1.03/1.20 tff(formula48, axiom, % 1.03/1.20 ![X0: $i, X1: $i] : (m4(X0, X1) <=> $true)). % 1.03/1.20 tff(formula49, axiom, % 1.03/1.20 ![X0: $i, X1: $i, X2: $i] : (n1(X0, X1, X2) <=> ((~((X2 = $i!val!1) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!2))) & (~((X2 = $i!val!0) & (~(X2 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!2))) & (~((X2 = $i!val!1) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!2))) & (~((X2 = $i!val!1) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!2) & (X0 = $i!val!2))) & (~((X2 = $i!val!1) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!2)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!1) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!2))))))). % 1.03/1.20 tff(formula50, axiom, % 1.03/1.20 ![X0: $i, X1: $i, X2: $i] : (k3(X0, X1, X2) <=> $true)). % 1.03/1.20 tff(formula51, axiom, % 1.03/1.20 ![X0: $i] : (k4(X0) <=> $true)). % 1.03/1.20 tff(formula52, axiom, % 1.03/1.20 ![X0: $i] : (l5(X0) <=> $true)). % 1.03/1.20 tff(formula53, axiom, % 1.03/1.20 ![X0: $i, X1: $i, X2: $i] : (q1(X0, X1, X2) <=> $true)). % 1.03/1.20 % SZS output end Model % 1.03/1.20 % E exiting %------------------------------------------------------------------------------