%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : LCL645-10.001 : TPTP v9.3.1. Released v7.3.0. % Transfm : NO INFORMATION % Format : NO INFORMATION % Command : run_E %s %d THM % Computer : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 03:00:22 PM UTC 2026 % Result : Satisfiable 0.14s 0.41s % Output : Model 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL645-10.001 : TPTP v9.3.1. Released v7.3.0. % 0.00/0.03 % Command : run_E %s %d THM % 0.08/0.35 % Computer : n004.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Sat Sep 5 13:32:33 UTC 2026 % 0.08/0.35 % CPUTime : % 0.14/0.41 % SZS status Satisfiable % 0.14/0.41 % SZS output start Model % 0.14/0.41 tff(tptp_fun__i_val_0_type, type, ( % 0.14/0.41 tptp_fun__i_val_0: $i)). % 0.14/0.41 tff(sK3_main_X_type, type, ( % 0.14/0.41 sK3_main_X: $i)). % 0.14/0.41 tff(tptp_fun__i_val_3_type, type, ( % 0.14/0.41 tptp_fun__i_val_3: $i)). % 0.14/0.41 tff(sK1_main_Y_type, type, ( % 0.14/0.41 sK1_main_Y: $i)). % 0.14/0.41 tff(tptp_fun__i_val_2_type, type, ( % 0.14/0.41 tptp_fun__i_val_2: $i)). % 0.14/0.41 tff(true_type, type, ( % 0.14/0.41 true: $i)). % 0.14/0.41 tff(tptp_fun__i_val_5_type, type, ( % 0.14/0.41 tptp_fun__i_val_5: $i)). % 0.14/0.41 tff(a_type, type, ( % 0.14/0.41 a: $i)). % 0.14/0.41 tff(tptp_fun__i_val_1_type, type, ( % 0.14/0.41 tptp_fun__i_val_1: $i)). % 0.14/0.41 tff(sK2_main_Y_type, type, ( % 0.14/0.41 sK2_main_Y: $i)). % 0.14/0.41 tff(tptp_fun__i_val_6_type, type, ( % 0.14/0.41 tptp_fun__i_val_6: $i)). % 0.14/0.41 tff(b_type, type, ( % 0.14/0.41 b: $i)). % 0.14/0.41 tff(ifeq_type, type, ( % 0.14/0.41 ifeq: ( $i * $i * $i * $i ) > $i)). % 0.14/0.41 tff(tptp_fun__i_val_4_type, type, ( % 0.14/0.41 tptp_fun__i_val_4: $i)). % 0.14/0.41 tff(tptp_fun__i_val_7_type, type, ( % 0.14/0.41 tptp_fun__i_val_7: $i)). % 0.14/0.41 tff(tptp_fun__i_val_8_type, type, ( % 0.14/0.41 tptp_fun__i_val_8: $i)). % 0.14/0.41 tff(tptp_fun__i_val_9_type, type, ( % 0.14/0.41 tptp_fun__i_val_9: $i)). % 0.14/0.41 tff(tptp_fun__i_val_10_type, type, ( % 0.14/0.41 tptp_fun__i_val_10: $i)). % 0.14/0.41 tff(tptp_fun__i_val_11_type, type, ( % 0.14/0.41 tptp_fun__i_val_11: $i)). % 0.14/0.41 tff(r1_type, type, ( % 0.14/0.41 r1: ( $i * $i ) > $i)). % 0.14/0.41 tff(ifeq2_type, type, ( % 0.14/0.41 ifeq2: ( $i * $i * $i * $i ) > $i)). % 0.14/0.41 tff(p1_type, type, ( % 0.14/0.41 p1: $i > $i)). % 0.14/0.41 tff(formula1, axiom, % 0.14/0.41 sK3_main_X = $i!val!0). % 0.14/0.41 tff(formula2, axiom, % 0.14/0.41 sK1_main_Y = $i!val!3). % 0.14/0.41 tff(formula3, axiom, % 0.14/0.41 true = $i!val!2). % 0.14/0.41 tff(formula4, axiom, % 0.14/0.41 a = $i!val!5). % 0.14/0.41 tff(formula5, axiom, % 0.14/0.41 sK2_main_Y = $i!val!1). % 0.14/0.41 tff(formula6, axiom, % 0.14/0.41 b = $i!val!6). % 0.14/0.41 tff(formula7, axiom, % 0.14/0.41 ifeq($i!val!4, $i!val!2, $i!val!5, $i!val!6) = $i!val!6). % 0.14/0.41 tff(formula8, axiom, % 0.14/0.41 ifeq($i!val!7, $i!val!2, $i!val!5, $i!val!6) = $i!val!6). % 0.14/0.41 tff(formula9, axiom, % 0.14/0.41 ![X0: $i, X1: $i, X2: $i, X3: $i] : ((~((($i!val!4 = X0) & ($i!val!2 = X1) & ($i!val!5 = X2) & ($i!val!6 = X3)) | (($i!val!7 = X0) & ($i!val!2 = X1) & ($i!val!5 = X2) & ($i!val!6 = X3)))) => (ifeq(X0, X1, X2, X3) = X1))). % 0.14/0.41 tff(formula10, axiom, % 0.14/0.41 ![X0: $i, X1: $i] : (r1(X0, X1) = ite_t(((X1 = $i!val!3) & (~(X0 = $i!val!1))), $i!val!11, ite_t(((X1 = $i!val!1) & (~(X0 = $i!val!1))), $i!val!10, ite_t(((X1 = $i!val!3) & (X0 = $i!val!1)), $i!val!9, ite_t(((X1 = $i!val!1) & (X0 = $i!val!1)), $i!val!8, $i!val!2)))))). % 0.14/0.41 tff(formula11, axiom, % 0.14/0.41 ifeq2($i!val!8, $i!val!2, $i!val!4, $i!val!2) = $i!val!2). % 0.14/0.41 tff(formula12, axiom, % 0.14/0.41 ifeq2($i!val!9, $i!val!2, $i!val!4, $i!val!2) = $i!val!2). % 0.14/0.41 tff(formula13, axiom, % 0.14/0.41 ifeq2($i!val!10, $i!val!2, $i!val!7, $i!val!2) = $i!val!2). % 0.14/0.41 tff(formula14, axiom, % 0.14/0.41 ifeq2($i!val!11, $i!val!2, $i!val!7, $i!val!2) = $i!val!2). % 0.14/0.41 tff(formula15, axiom, % 0.14/0.41 ![X0: $i, X1: $i, X2: $i, X3: $i] : ((~((($i!val!8 = X0) & ($i!val!2 = X1) & ($i!val!4 = X2) & ($i!val!2 = X3)) | (($i!val!9 = X0) & ($i!val!2 = X1) & ($i!val!4 = X2) & ($i!val!2 = X3)) | (($i!val!10 = X0) & ($i!val!2 = X1) & ($i!val!7 = X2) & ($i!val!2 = X3)) | (($i!val!11 = X0) & ($i!val!2 = X1) & ($i!val!7 = X2) & ($i!val!2 = X3)))) => (ifeq2(X0, X1, X2, X3) = X1))). % 0.14/0.41 tff(formula16, axiom, % 0.14/0.41 p1($i!val!1) = $i!val!4). % 0.14/0.41 tff(formula17, axiom, % 0.14/0.41 ![X0: $i] : ((~(($i!val!1 = X0))) => (p1(X0) = $i!val!7))). % 0.14/0.41 % SZS output end Model % 0.14/0.41 % E exiting %------------------------------------------------------------------------------