%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : SWV010-1 : TPTP v9.0.0. Released v2.4.0. % 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 05:31:20 AM UTC 2025 % Result : Satisfiable 0.19s 0.36s % Output : Model 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWV010-1 : TPTP v9.0.0. Released v2.4.0. % 0.03/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n006.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 09:20:50 EDT 2025 % 0.12/0.33 % CPUTime : % 0.19/0.36 % SZS status Satisfiable % 0.19/0.36 % SZS output start Model % 0.19/0.36 tff(tptp_fun__i_val_8_type, type, ( % 0.19/0.36 tptp_fun__i_val_8: $i)). % 0.19/0.36 tff(bt_type, type, ( % 0.19/0.36 bt: $i)). % 0.19/0.36 tff(tptp_fun__i_val_2_type, type, ( % 0.19/0.36 tptp_fun__i_val_2: $i)). % 0.19/0.36 tff(an_a_nonce_type, type, ( % 0.19/0.36 an_a_nonce: $i)). % 0.19/0.36 tff(tptp_fun__i_val_6_type, type, ( % 0.19/0.36 tptp_fun__i_val_6: $i)). % 0.19/0.36 tff(at_type, type, ( % 0.19/0.36 at: $i)). % 0.19/0.36 tff(tptp_fun__i_val_1_type, type, ( % 0.19/0.36 tptp_fun__i_val_1: $i)). % 0.19/0.36 tff(b_type, type, ( % 0.19/0.36 b: $i)). % 0.19/0.36 tff(tptp_fun__i_val_0_type, type, ( % 0.19/0.36 tptp_fun__i_val_0: $i)). % 0.19/0.36 tff(a_type, type, ( % 0.19/0.36 a: $i)). % 0.19/0.36 tff(tptp_fun__i_val_10_type, type, ( % 0.19/0.36 tptp_fun__i_val_10: $i)). % 0.19/0.36 tff(t_type, type, ( % 0.19/0.36 t: $i)). % 0.19/0.36 tff(t_holds_type, type, ( % 0.19/0.36 t_holds: $i > $o)). % 0.19/0.36 tff(tptp_fun__i_val_3_type, type, ( % 0.19/0.36 tptp_fun__i_val_3: $i)). % 0.19/0.36 tff(tptp_fun__i_val_5_type, type, ( % 0.19/0.36 tptp_fun__i_val_5: $i)). % 0.19/0.36 tff(tptp_fun__i_val_14_type, type, ( % 0.19/0.36 tptp_fun__i_val_14: $i)). % 0.19/0.36 tff(tptp_fun__i_val_11_type, type, ( % 0.19/0.36 tptp_fun__i_val_11: $i)). % 0.19/0.36 tff(tptp_fun__i_val_13_type, type, ( % 0.19/0.36 tptp_fun__i_val_13: $i)). % 0.19/0.36 tff(tptp_fun__i_val_12_type, type, ( % 0.19/0.36 tptp_fun__i_val_12: $i)). % 0.19/0.36 tff(pair_type, type, ( % 0.19/0.36 pair: ( $i * $i ) > $i)). % 0.19/0.36 tff(generate_key_type, type, ( % 0.19/0.36 generate_key: $i > $i)). % 0.19/0.36 tff(message_type, type, ( % 0.19/0.36 message: $i > $o)). % 0.19/0.36 tff(tptp_fun__i_val_17_type, type, ( % 0.19/0.36 tptp_fun__i_val_17: $i)). % 0.19/0.36 tff(quadruple_type, type, ( % 0.19/0.36 quadruple: ( $i * $i * $i * $i ) > $i)). % 0.19/0.36 tff(fresh_to_b_type, type, ( % 0.19/0.36 fresh_to_b: $i > $o)). % 0.19/0.36 tff(tptp_fun__i_val_7_type, type, ( % 0.19/0.36 tptp_fun__i_val_7: $i)). % 0.19/0.36 tff(tptp_fun__i_val_9_type, type, ( % 0.19/0.36 tptp_fun__i_val_9: $i)). % 0.19/0.36 tff(key_type, type, ( % 0.19/0.36 key: ( $i * $i ) > $i)). % 0.19/0.36 tff(tptp_fun__i_val_4_type, type, ( % 0.19/0.36 tptp_fun__i_val_4: $i)). % 0.19/0.36 tff(tptp_fun__i_val_16_type, type, ( % 0.19/0.36 tptp_fun__i_val_16: $i)). % 0.19/0.36 tff(tptp_fun__i_val_15_type, type, ( % 0.19/0.36 tptp_fun__i_val_15: $i)). % 0.19/0.36 tff(sent_type, type, ( % 0.19/0.36 sent: ( $i * $i * $i ) > $i)). % 0.19/0.36 tff(generate_expiration_time_type, type, ( % 0.19/0.36 generate_expiration_time: $i > $i)). % 0.19/0.36 tff(a_stored_type, type, ( % 0.19/0.36 a_stored: $i > $o)). % 0.19/0.36 tff(triple_type, type, ( % 0.19/0.36 triple: ( $i * $i * $i ) > $i)). % 0.19/0.36 tff(generate_b_nonce_type, type, ( % 0.19/0.36 generate_b_nonce: $i > $i)). % 0.19/0.36 tff(encrypt_type, type, ( % 0.19/0.36 encrypt: ( $i * $i ) > $i)). % 0.19/0.36 tff(formula1, axiom, % 0.19/0.36 bt = $i!val!8). % 0.19/0.36 tff(formula2, axiom, % 0.19/0.36 an_a_nonce = $i!val!2). % 0.19/0.36 tff(formula3, axiom, % 0.19/0.36 at = $i!val!6). % 0.19/0.36 tff(formula4, axiom, % 0.19/0.36 b = $i!val!1). % 0.19/0.36 tff(formula5, axiom, % 0.19/0.36 a = $i!val!0). % 0.19/0.36 tff(formula6, axiom, % 0.19/0.36 t = $i!val!10). % 0.19/0.36 tff(formula7, axiom, % 0.19/0.36 ![X0: $i] : (t_holds(X0) <=> $true)). % 0.19/0.36 tff(formula8, axiom, % 0.19/0.36 ![X0: $i, X1: $i] : (pair(X0, X1) = ite_t(((X1 = $i!val!1) & (~(X1 = $i!val!13)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!14)) & (~(X0 = $i!val!10)) & (~(X0 = $i!val!12)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!1)) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!11)) & (~(X0 = $i!val!14))), $i!val!5, $i!val!3))). % 0.19/0.36 tff(formula9, axiom, % 0.19/0.36 ![X0: $i] : (generate_key(X0) = $i!val!1)). % 0.19/0.36 tff(formula10, axiom, % 0.19/0.36 message($i!val!17) <=> $false). % 0.19/0.36 tff(formula11, axiom, % 0.19/0.36 ![X0: $i] : ((~(($i!val!17 = X0))) => (message(X0) <=> $true))). % 0.19/0.36 tff(formula12, axiom, % 0.19/0.36 ![X0: $i, X1: $i, X2: $i, X3: $i] : (quadruple(X0, X1, X2, X3) = $i!val!17)). % 0.19/0.36 tff(formula13, axiom, % 0.19/0.36 ![X0: $i] : (fresh_to_b(X0) <=> $true)). % 0.19/0.36 tff(formula14, axiom, % 0.19/0.36 ![X0: $i, X1: $i] : (key(X0, X1) = ite_t(((~(X1 = $i!val!6)) & (X0 = $i!val!1) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!11)) & (~(X0 = $i!val!14))), $i!val!9, $i!val!7))). % 0.19/0.36 tff(formula15, axiom, % 0.19/0.36 ![X0: $i, X1: $i, X2: $i] : (sent(X0, X1, X2) = ite_t(((X2 = $i!val!1) & (~(X2 = $i!val!13)) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!14)) & (X1 = $i!val!1) & (~(X1 = $i!val!13)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!14)) & (X0 = $i!val!5)), $i!val!17, ite_t(((X2 = $i!val!1) & (~(X2 = $i!val!13)) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!14)) & (X1 = $i!val!10) & (~(X1 = $i!val!12)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!1)) & (~(X1 = $i!val!13)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!14)) & (X0 = $i!val!15)), $i!val!16, $i!val!4)))). % 0.19/0.36 tff(formula16, axiom, % 0.19/0.36 ![X0: $i] : (generate_expiration_time(X0) = $i!val!12)). % 0.19/0.36 tff(formula17, axiom, % 0.19/0.36 ![X0: $i] : (a_stored(X0) <=> $true)). % 0.19/0.36 tff(formula18, axiom, % 0.19/0.36 ![X0: $i, X1: $i, X2: $i] : (triple(X0, X1, X2) = ite_t(((X2 = $i!val!1) & (~(X2 = $i!val!13)) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!14)) & (X1 = $i!val!11) & (~(X1 = $i!val!14)) & (X0 = $i!val!14)), $i!val!15, $i!val!13))). % 0.19/0.36 tff(formula19, axiom, % 0.19/0.36 ![X0: $i] : (generate_b_nonce(X0) = $i!val!11)). % 0.19/0.36 tff(formula20, axiom, % 0.19/0.36 ![X0: $i, X1: $i] : (encrypt(X0, X1) = $i!val!14)). % 0.19/0.36 % SZS output end Model % 0.19/0.36 % E exiting %------------------------------------------------------------------------------