%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SYN337-10 : TPTP v9.0.0. Released v7.3.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n007.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 05:38:48 AM UTC 2025 % Result : Satisfiable 0.11s 0.37s % Output : Model 0.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN337-10 : TPTP v9.0.0. Released v7.3.0. % 0.07/0.12 % Command : run_E %s %d THM % 0.11/0.32 % Computer : n007.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 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 300 % 0.11/0.33 % DateTime : Fri Jun 20 12:32:35 EDT 2025 % 0.11/0.33 % CPUTime : % 0.11/0.37 % SZS status Satisfiable % 0.11/0.37 % SZS output start Model % 0.11/0.37 tff(tptp_fun__i_val_1_type, type, ( % 0.11/0.37 tptp_fun__i_val_1: $i)). % 0.11/0.37 tff(b2_type, type, ( % 0.11/0.37 b2: $i)). % 0.11/0.37 tff(tptp_fun__i_val_0_type, type, ( % 0.11/0.37 tptp_fun__i_val_0: $i)). % 0.11/0.37 tff(a2_type, type, ( % 0.11/0.37 a2: $i)). % 0.11/0.37 tff(tptp_fun__i_val_3_type, type, ( % 0.11/0.37 tptp_fun__i_val_3: $i)). % 0.11/0.37 tff(b_type, type, ( % 0.11/0.37 b: $i)). % 0.11/0.37 tff(tptp_fun__i_val_2_type, type, ( % 0.11/0.37 tptp_fun__i_val_2: $i)). % 0.11/0.37 tff(a_type, type, ( % 0.11/0.37 a: $i)). % 0.11/0.37 tff(tptp_fun__i_val_6_type, type, ( % 0.11/0.37 tptp_fun__i_val_6: $i)). % 0.11/0.37 tff(true_type, type, ( % 0.11/0.37 true: $i)). % 0.11/0.37 tff(tptp_fun__i_val_9_type, type, ( % 0.11/0.37 tptp_fun__i_val_9: $i)). % 0.11/0.37 tff(f_type, type, ( % 0.11/0.37 f: ( $i * $i ) > $i)). % 0.11/0.37 tff(tptp_fun__i_val_5_type, type, ( % 0.11/0.37 tptp_fun__i_val_5: $i)). % 0.11/0.37 tff(tptp_fun__i_val_7_type, type, ( % 0.11/0.37 tptp_fun__i_val_7: $i)). % 0.11/0.37 tff(tptp_fun__i_val_8_type, type, ( % 0.11/0.37 tptp_fun__i_val_8: $i)). % 0.11/0.37 tff(z_type, type, ( % 0.11/0.37 z: $i > $i)). % 0.11/0.37 tff(ifeq_type, type, ( % 0.11/0.37 ifeq: ( $i * $i * $i * $i ) > $i)). % 0.11/0.37 tff(formula1, axiom, % 0.11/0.37 b2 = $i!val!1). % 0.11/0.37 tff(formula2, axiom, % 0.11/0.37 a2 = $i!val!0). % 0.11/0.37 tff(formula3, axiom, % 0.11/0.37 b = $i!val!3). % 0.11/0.37 tff(formula4, axiom, % 0.11/0.37 a = $i!val!2). % 0.11/0.37 tff(formula5, axiom, % 0.11/0.37 true = $i!val!6). % 0.11/0.37 tff(formula6, axiom, % 0.11/0.37 f($i!val!3, $i!val!2) = $i!val!9). % 0.11/0.37 tff(formula7, axiom, % 0.11/0.37 ![X0: $i, X1: $i] : ((~(($i!val!3 = X0) & ($i!val!2 = X1))) => (f(X0, X1) = ite_t(((X1 = $i!val!3) & (X0 = $i!val!7) & (~(X0 = $i!val!2))), $i!val!8, ite_t(((X1 = $i!val!3) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!2))), $i!val!5, $i!val!6))))). % 0.11/0.37 tff(formula8, axiom, % 0.11/0.37 ![X0: $i] : (z(X0) = $i!val!7)). % 0.11/0.37 tff(formula9, axiom, % 0.11/0.37 ifeq($i!val!5, $i!val!6, $i!val!0, $i!val!1) = $i!val!1). % 0.11/0.37 tff(formula10, axiom, % 0.11/0.37 ifeq($i!val!8, $i!val!6, $i!val!0, $i!val!1) = $i!val!1). % 0.11/0.37 tff(formula11, axiom, % 0.11/0.37 ifeq($i!val!9, $i!val!6, $i!val!0, $i!val!1) = $i!val!1). % 0.11/0.37 tff(formula12, axiom, % 0.11/0.37 ![X0: $i, X1: $i, X2: $i, X3: $i] : ((~((($i!val!5 = X0) & ($i!val!6 = X1) & ($i!val!0 = X2) & ($i!val!1 = X3)) | (($i!val!8 = X0) & ($i!val!6 = X1) & ($i!val!0 = X2) & ($i!val!1 = X3)) | (($i!val!9 = X0) & ($i!val!6 = X1) & ($i!val!0 = X2) & ($i!val!1 = X3)))) => (ifeq(X0, X1, X2, X3) = X1))). % 0.11/0.37 % SZS output end Model % 0.11/0.37 % E exiting %------------------------------------------------------------------------------