%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SYN100-1.005 : TPTP v8.2.0. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n022.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 : Mon Jun 24 19:04:33 EDT 2024 % Result : Unsatisfiable 0.56s 0.62s % Output : CNFRefutation 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SYN100-1.005 : TPTP v8.2.0. Bugfixed v1.2.1. % 0.10/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n022.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 : Sun Jun 23 20:55:38 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.56 start to proof:theBenchmark % 0.55/0.61 %------------------------------------------- % 0.55/0.61 % File :CSE---1.7 % 0.55/0.61 % Problem :theBenchmark % 0.55/0.61 % Transform :cnf % 0.55/0.61 % Format :tptp:raw % 0.55/0.61 % Command :java -jar mcs_scs.jar %d %s % 0.55/0.61 % 0.55/0.61 % Result :Theorem 0.010000s % 0.55/0.61 % Output :CNFRefutation 0.010000s % 0.55/0.61 %------------------------------------------- % 0.56/0.61 %-------------------------------------------------------------------------- % 0.56/0.61 % File : SYN100-1.005 : TPTP v8.2.0. Bugfixed v1.2.1. % 0.56/0.61 % Domain : Syntactic % 0.56/0.61 % Problem : Plaisted problem sym(m(t(3,5))) % 0.56/0.61 % Version : Biased. % 0.56/0.61 % English : % 0.56/0.61 % 0.56/0.61 % Refs : [Pla94] Plaisted (1994), The Search Efficiency of Theorem Prov % 0.56/0.61 % Source : [Pla94] % 0.56/0.61 % Names : Sym(M(T3n)) [Pla94] % 0.56/0.61 % 0.56/0.61 % Status : Unsatisfiable % 0.56/0.61 % Rating : 0.00 v2.1.0 % 0.56/0.61 % Syntax : Number of clauses : 82 ( 8 unt; 33 nHn; 81 RR) % 0.56/0.61 % Number of literals : 220 ( 0 equ; 110 neg) % 0.56/0.61 % Maximal clause size : 3 ( 2 avg) % 0.56/0.61 % Maximal term depth : 1 ( 1 avg) % 0.56/0.61 % Number of predicates : 44 ( 44 usr; 0 prp; 1-1 aty) % 0.56/0.61 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty) % 0.56/0.61 % Number of variables : 74 ( 0 sgn) % 0.56/0.61 % SPC : CNF_UNS_EPR_NEQ_NHN % 0.56/0.61 % 0.56/0.61 % Comments : Biased away from various calculi. % 0.56/0.61 % : tptp2X: -f tptp -s5 SYN100-1.g % 0.56/0.61 % Bugfixes : v1.2.0 - Bugfix in SYN086-1. % 0.56/0.61 % : v1.2.1 - Bugfix in SYN086-1. % 0.56/0.61 %-------------------------------------------------------------------------- % 0.56/0.61 cnf(m_s3_goal_1,negated_conjecture, % 0.56/0.61 ( ~ p_0(X) % 0.56/0.61 | ~ q_0(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type11_1,axiom, % 0.56/0.61 ( p_0(X) % 0.56/0.61 | ~ p_1(X) % 0.56/0.61 | ~ p_2(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type11_2,axiom, % 0.56/0.61 ( p_0(X) % 0.56/0.61 | ~ q_1(X) % 0.56/0.61 | ~ q_2(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type11_3,axiom, % 0.56/0.61 ( p_1(X) % 0.56/0.61 | ~ p_2(X) % 0.56/0.61 | ~ p_3(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type11_4,axiom, % 0.56/0.61 ( p_1(X) % 0.56/0.61 | ~ q_2(X) % 0.56/0.61 | ~ q_3(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type11_5,axiom, % 0.56/0.61 ( p_2(X) % 0.56/0.61 | ~ p_3(X) % 0.56/0.61 | ~ p_4(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type11_6,axiom, % 0.56/0.61 ( p_2(X) % 0.56/0.61 | ~ q_3(X) % 0.56/0.61 | ~ q_4(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type11_7,axiom, % 0.56/0.61 ( p_3(X) % 0.56/0.61 | ~ p_4(X) % 0.56/0.61 | ~ p_5(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type11_8,axiom, % 0.56/0.61 ( p_3(X) % 0.56/0.61 | ~ q_4(X) % 0.56/0.61 | ~ q_5(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type11_9,axiom, % 0.56/0.61 ( p_4(X) % 0.56/0.61 | ~ p_5(X) % 0.56/0.61 | ~ p_6(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type11_10,axiom, % 0.56/0.61 ( p_4(X) % 0.56/0.61 | ~ q_5(X) % 0.56/0.61 | ~ q_6(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type11_11,axiom, % 0.56/0.61 ( p_5(X) % 0.56/0.61 | ~ p_6(X) % 0.56/0.61 | ~ p_7(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type11_12,axiom, % 0.56/0.61 ( p_5(X) % 0.56/0.61 | ~ q_6(X) % 0.56/0.61 | ~ q_7(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type11_13,axiom, % 0.56/0.61 ( p_6(X) % 0.56/0.61 | ~ p_7(X) % 0.56/0.61 | ~ p_8(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type11_14,axiom, % 0.56/0.61 ( p_6(X) % 0.56/0.61 | ~ q_7(X) % 0.56/0.61 | ~ q_8(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type11_15,axiom, % 0.56/0.61 ( p_7(X) % 0.56/0.61 | ~ p_8(X) % 0.56/0.61 | ~ p_9(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type11_16,axiom, % 0.56/0.61 ( p_7(X) % 0.56/0.61 | ~ q_8(X) % 0.56/0.61 | ~ q_9(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type12_1,axiom, % 0.56/0.61 ( q_0(X) % 0.56/0.61 | ~ p_1(X) % 0.56/0.61 | ~ q_2(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type12_2,axiom, % 0.56/0.61 ( q_0(X) % 0.56/0.61 | ~ q_1(X) % 0.56/0.61 | ~ p_2(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type12_3,axiom, % 0.56/0.61 ( q_1(X) % 0.56/0.61 | ~ p_2(X) % 0.56/0.61 | ~ q_3(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type12_4,axiom, % 0.56/0.61 ( q_1(X) % 0.56/0.61 | ~ q_2(X) % 0.56/0.61 | ~ p_3(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type12_5,axiom, % 0.56/0.61 ( q_2(X) % 0.56/0.61 | ~ p_3(X) % 0.56/0.61 | ~ q_4(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type12_6,axiom, % 0.56/0.61 ( q_2(X) % 0.56/0.61 | ~ q_3(X) % 0.56/0.61 | ~ p_4(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type12_7,axiom, % 0.56/0.61 ( q_3(X) % 0.56/0.61 | ~ p_4(X) % 0.56/0.61 | ~ q_5(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type12_8,axiom, % 0.56/0.61 ( q_3(X) % 0.56/0.61 | ~ q_4(X) % 0.56/0.61 | ~ p_5(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type12_9,axiom, % 0.56/0.61 ( q_4(X) % 0.56/0.61 | ~ p_5(X) % 0.56/0.61 | ~ q_6(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type12_10,axiom, % 0.56/0.61 ( q_4(X) % 0.56/0.61 | ~ q_5(X) % 0.56/0.61 | ~ p_6(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type12_11,axiom, % 0.56/0.61 ( q_5(X) % 0.56/0.61 | ~ p_6(X) % 0.56/0.61 | ~ q_7(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type12_12,axiom, % 0.56/0.61 ( q_5(X) % 0.56/0.61 | ~ q_6(X) % 0.56/0.61 | ~ p_7(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type12_13,axiom, % 0.56/0.61 ( q_6(X) % 0.56/0.61 | ~ p_7(X) % 0.56/0.61 | ~ q_8(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type12_14,axiom, % 0.56/0.61 ( q_6(X) % 0.56/0.61 | ~ q_7(X) % 0.56/0.61 | ~ p_8(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type12_15,axiom, % 0.56/0.61 ( q_7(X) % 0.56/0.61 | ~ p_8(X) % 0.56/0.61 | ~ q_9(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type12_16,axiom, % 0.56/0.61 ( q_7(X) % 0.56/0.61 | ~ q_8(X) % 0.56/0.61 | ~ p_9(X) ) ). % 0.56/0.61 % 0.56/0.61 cnf(m_s3_type2_1,axiom, % 0.56/0.61 ( p_9(X) % 0.56/0.61 | ~ p_4(X) ) ). % 0.56/0.61 % 0.56/0.62 cnf(m_s3_type2_2,axiom, % 0.56/0.62 ( p_10(X) % 0.56/0.62 | ~ p_5(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(m_s3_type2_3,axiom, % 0.56/0.62 ( q_9(X) % 0.56/0.62 | ~ q_4(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(m_s3_type2_4,axiom, % 0.56/0.62 ( q_10(X) % 0.56/0.62 | ~ q_5(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(m_t3_1,axiom, % 0.56/0.62 p_8(a) ). % 0.56/0.62 % 0.56/0.62 cnf(m_t3_2,axiom, % 0.56/0.62 p_9(a) ). % 0.56/0.62 % 0.56/0.62 cnf(m_t3_3,axiom, % 0.56/0.62 q_8(a) ). % 0.56/0.62 % 0.56/0.62 cnf(m_t3_4,axiom, % 0.56/0.62 q_9(a) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_goal_1,axiom, % 0.56/0.62 ( sym_p_0(X) % 0.56/0.62 | sym_q_0(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type11_1,axiom, % 0.56/0.62 ( ~ sym_p_0(X) % 0.56/0.62 | sym_p_1(X) % 0.56/0.62 | sym_p_2(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type11_2,axiom, % 0.56/0.62 ( ~ sym_p_0(X) % 0.56/0.62 | sym_q_1(X) % 0.56/0.62 | sym_q_2(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type11_3,axiom, % 0.56/0.62 ( ~ sym_p_1(X) % 0.56/0.62 | sym_p_2(X) % 0.56/0.62 | sym_p_3(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type11_4,axiom, % 0.56/0.62 ( ~ sym_p_1(X) % 0.56/0.62 | sym_q_2(X) % 0.56/0.62 | sym_q_3(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type11_5,axiom, % 0.56/0.62 ( ~ sym_p_2(X) % 0.56/0.62 | sym_p_3(X) % 0.56/0.62 | sym_p_4(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type11_6,axiom, % 0.56/0.62 ( ~ sym_p_2(X) % 0.56/0.62 | sym_q_3(X) % 0.56/0.62 | sym_q_4(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type11_7,axiom, % 0.56/0.62 ( ~ sym_p_3(X) % 0.56/0.62 | sym_p_4(X) % 0.56/0.62 | sym_p_5(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type11_8,axiom, % 0.56/0.62 ( ~ sym_p_3(X) % 0.56/0.62 | sym_q_4(X) % 0.56/0.62 | sym_q_5(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type11_9,axiom, % 0.56/0.62 ( ~ sym_p_4(X) % 0.56/0.62 | sym_p_5(X) % 0.56/0.62 | sym_p_6(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type11_10,axiom, % 0.56/0.62 ( ~ sym_p_4(X) % 0.56/0.62 | sym_q_5(X) % 0.56/0.62 | sym_q_6(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type11_11,axiom, % 0.56/0.62 ( ~ sym_p_5(X) % 0.56/0.62 | sym_p_6(X) % 0.56/0.62 | sym_p_7(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type11_12,axiom, % 0.56/0.62 ( ~ sym_p_5(X) % 0.56/0.62 | sym_q_6(X) % 0.56/0.62 | sym_q_7(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type11_13,axiom, % 0.56/0.62 ( ~ sym_p_6(X) % 0.56/0.62 | sym_p_7(X) % 0.56/0.62 | sym_p_8(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type11_14,axiom, % 0.56/0.62 ( ~ sym_p_6(X) % 0.56/0.62 | sym_q_7(X) % 0.56/0.62 | sym_q_8(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type11_15,axiom, % 0.56/0.62 ( ~ sym_p_7(X) % 0.56/0.62 | sym_p_8(X) % 0.56/0.62 | sym_p_9(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type11_16,axiom, % 0.56/0.62 ( ~ sym_p_7(X) % 0.56/0.62 | sym_q_8(X) % 0.56/0.62 | sym_q_9(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type12_1,axiom, % 0.56/0.62 ( ~ sym_q_0(X) % 0.56/0.62 | sym_p_1(X) % 0.56/0.62 | sym_q_2(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type12_2,axiom, % 0.56/0.62 ( ~ sym_q_0(X) % 0.56/0.62 | sym_q_1(X) % 0.56/0.62 | sym_p_2(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type12_3,axiom, % 0.56/0.62 ( ~ sym_q_1(X) % 0.56/0.62 | sym_p_2(X) % 0.56/0.62 | sym_q_3(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type12_4,axiom, % 0.56/0.62 ( ~ sym_q_1(X) % 0.56/0.62 | sym_q_2(X) % 0.56/0.62 | sym_p_3(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type12_5,axiom, % 0.56/0.62 ( ~ sym_q_2(X) % 0.56/0.62 | sym_p_3(X) % 0.56/0.62 | sym_q_4(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type12_6,axiom, % 0.56/0.62 ( ~ sym_q_2(X) % 0.56/0.62 | sym_q_3(X) % 0.56/0.62 | sym_p_4(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type12_7,axiom, % 0.56/0.62 ( ~ sym_q_3(X) % 0.56/0.62 | sym_p_4(X) % 0.56/0.62 | sym_q_5(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type12_8,axiom, % 0.56/0.62 ( ~ sym_q_3(X) % 0.56/0.62 | sym_q_4(X) % 0.56/0.62 | sym_p_5(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type12_9,axiom, % 0.56/0.62 ( ~ sym_q_4(X) % 0.56/0.62 | sym_p_5(X) % 0.56/0.62 | sym_q_6(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type12_10,axiom, % 0.56/0.62 ( ~ sym_q_4(X) % 0.56/0.62 | sym_q_5(X) % 0.56/0.62 | sym_p_6(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type12_11,axiom, % 0.56/0.62 ( ~ sym_q_5(X) % 0.56/0.62 | sym_p_6(X) % 0.56/0.62 | sym_q_7(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type12_12,axiom, % 0.56/0.62 ( ~ sym_q_5(X) % 0.56/0.62 | sym_q_6(X) % 0.56/0.62 | sym_p_7(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type12_13,axiom, % 0.56/0.62 ( ~ sym_q_6(X) % 0.56/0.62 | sym_p_7(X) % 0.56/0.62 | sym_q_8(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type12_14,axiom, % 0.56/0.62 ( ~ sym_q_6(X) % 0.56/0.62 | sym_q_7(X) % 0.56/0.62 | sym_p_8(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type12_15,axiom, % 0.56/0.62 ( ~ sym_q_7(X) % 0.56/0.62 | sym_p_8(X) % 0.56/0.62 | sym_q_9(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type12_16,axiom, % 0.56/0.62 ( ~ sym_q_7(X) % 0.56/0.62 | sym_q_8(X) % 0.56/0.62 | sym_p_9(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type2_1,axiom, % 0.56/0.62 ( ~ sym_p_9(X) % 0.56/0.62 | sym_p_4(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type2_2,axiom, % 0.56/0.62 ( ~ sym_p_10(X) % 0.56/0.62 | sym_p_5(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type2_3,axiom, % 0.56/0.62 ( ~ sym_q_9(X) % 0.56/0.62 | sym_q_4(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_s3_type2_4,axiom, % 0.56/0.62 ( ~ sym_q_10(X) % 0.56/0.62 | sym_q_5(X) ) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_t3_1,axiom, % 0.56/0.62 ~ sym_p_8(a) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_t3_2,axiom, % 0.56/0.62 ~ sym_p_9(a) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_t3_3,axiom, % 0.56/0.62 ~ sym_q_8(a) ). % 0.56/0.62 % 0.56/0.62 cnf(sym_m_t3_4,axiom, % 0.56/0.62 ~ sym_q_9(a) ). % 0.56/0.62 % 0.56/0.62 %-------------------------------------------------------------------------- % 0.56/0.62 %------------------------------------------- % 0.56/0.62 % Proof found % 0.56/0.62 % SZS status Theorem for theBenchmark % 0.56/0.62 % SZS output start Proof % 0.56/0.62 %ClaNum:82(EqnAxiom:0) % 0.56/0.62 %VarNum:212(SingletonVarNum:74) % 0.56/0.62 %MaxLitNum:3 % 0.56/0.62 %MaxfuncDepth:0 % 0.56/0.62 %SharedTerms:9 % 0.56/0.62 %goalClause: 18 % 0.56/0.62 [1]P1(a1) % 0.56/0.62 [2]P11(a1) % 0.56/0.62 [3]P12(a1) % 0.56/0.62 [4]P22(a1) % 0.56/0.62 [5]~P23(a1) % 0.56/0.62 [6]~P33(a1) % 0.56/0.62 [7]~P34(a1) % 0.56/0.62 [8]~P44(a1) % 0.56/0.62 [9]P35(x91)+P24(x91) % 0.56/0.62 [10]~P2(x101)+P12(x101) % 0.56/0.62 [11]~P13(x111)+P22(x111) % 0.56/0.62 [12]~P8(x121)+P3(x121) % 0.56/0.62 [13]~P19(x131)+P14(x131) % 0.56/0.62 [14]~P34(x141)+P25(x141) % 0.56/0.62 [15]~P44(x151)+P36(x151) % 0.56/0.62 [16]~P26(x161)+P30(x161) % 0.56/0.62 [17]~P37(x171)+P41(x171) % 0.56/0.62 [18]~P15(x181)+~P4(x181) % 0.56/0.62 [19]P28(x191)+~P24(x191)+P27(x191) % 0.56/0.62 [20]P39(x201)+~P35(x201)+P27(x201) % 0.56/0.62 [21]P38(x211)+~P35(x211)+P28(x211) % 0.56/0.62 [22]P29(x221)+~P27(x221)+P28(x221) % 0.56/0.62 [23]P40(x231)+~P38(x231)+P28(x231) % 0.56/0.62 [24]P39(x241)+~P24(x241)+P38(x241) % 0.56/0.62 [25]P29(x251)+~P38(x251)+P39(x251) % 0.56/0.62 [26]P40(x261)+~P27(x261)+P39(x261) % 0.56/0.62 [27]P25(x271)+~P28(x271)+P29(x271) % 0.56/0.62 [28]P36(x281)+~P39(x281)+P29(x281) % 0.56/0.62 [29]P25(x291)+~P39(x291)+P40(x291) % 0.56/0.62 [30]P36(x301)+~P28(x301)+P40(x301) % 0.56/0.62 [31]P30(x311)+~P29(x311)+P25(x311) % 0.56/0.62 [32]P41(x321)+~P40(x321)+P25(x321) % 0.56/0.62 [33]P30(x331)+~P40(x331)+P36(x331) % 0.56/0.62 [34]P41(x341)+~P29(x341)+P36(x341) % 0.56/0.62 [35]P31(x351)+~P25(x351)+P30(x351) % 0.56/0.62 [36]P42(x361)+~P36(x361)+P30(x361) % 0.56/0.62 [37]P31(x371)+~P36(x371)+P41(x371) % 0.56/0.62 [38]P42(x381)+~P25(x381)+P41(x381) % 0.56/0.62 [39]P32(x391)+~P30(x391)+P31(x391) % 0.56/0.62 [40]P43(x401)+~P41(x401)+P31(x401) % 0.56/0.62 [41]P32(x411)+~P41(x411)+P42(x411) % 0.56/0.62 [42]P43(x421)+~P30(x421)+P42(x421) % 0.56/0.62 [43]P23(x431)+~P31(x431)+P32(x431) % 0.56/0.62 [44]P33(x441)+~P42(x441)+P32(x441) % 0.56/0.62 [45]P23(x451)+~P42(x451)+P43(x451) % 0.56/0.62 [46]P33(x461)+~P31(x461)+P43(x461) % 0.56/0.62 [47]P34(x471)+~P32(x471)+P23(x471) % 0.56/0.62 [48]P44(x481)+~P43(x481)+P23(x481) % 0.56/0.62 [49]P34(x491)+~P43(x491)+P33(x491) % 0.56/0.62 [50]P44(x501)+~P32(x501)+P33(x501) % 0.56/0.62 [51]~P5(x511)+~P6(x511)+P4(x511) % 0.56/0.62 [52]~P16(x521)+~P17(x521)+P4(x521) % 0.56/0.62 [53]~P5(x531)+~P17(x531)+P15(x531) % 0.56/0.62 [54]~P6(x541)+~P16(x541)+P15(x541) % 0.56/0.62 [55]~P6(x551)+~P7(x551)+P5(x551) % 0.56/0.62 [56]~P17(x561)+~P18(x561)+P5(x561) % 0.56/0.62 [57]~P7(x571)+~P2(x571)+P6(x571) % 0.56/0.62 [58]~P18(x581)+~P13(x581)+P6(x581) % 0.56/0.62 [59]~P6(x591)+~P18(x591)+P16(x591) % 0.56/0.62 [60]~P17(x601)+~P7(x601)+P16(x601) % 0.56/0.62 [61]~P7(x611)+~P13(x611)+P17(x611) % 0.56/0.62 [62]~P18(x621)+~P2(x621)+P17(x621) % 0.56/0.62 [63]~P2(x631)+~P8(x631)+P7(x631) % 0.56/0.62 [64]~P13(x641)+~P19(x641)+P7(x641) % 0.56/0.62 [65]~P2(x651)+~P19(x651)+P18(x651) % 0.56/0.62 [66]~P13(x661)+~P8(x661)+P18(x661) % 0.56/0.62 [67]~P8(x671)+~P9(x671)+P2(x671) % 0.56/0.62 [68]~P19(x681)+~P20(x681)+P2(x681) % 0.56/0.62 [69]~P8(x691)+~P20(x691)+P13(x691) % 0.56/0.62 [70]~P19(x701)+~P9(x701)+P13(x701) % 0.56/0.62 [71]~P9(x711)+~P10(x711)+P8(x711) % 0.56/0.62 [72]~P20(x721)+~P21(x721)+P8(x721) % 0.56/0.62 [73]~P9(x731)+~P21(x731)+P19(x731) % 0.56/0.62 [74]~P20(x741)+~P10(x741)+P19(x741) % 0.56/0.62 [75]~P10(x751)+~P1(x751)+P9(x751) % 0.56/0.62 [76]~P21(x761)+~P11(x761)+P9(x761) % 0.56/0.62 [77]~P10(x771)+~P11(x771)+P20(x771) % 0.56/0.62 [78]~P21(x781)+~P1(x781)+P20(x781) % 0.56/0.62 [79]~P1(x791)+~P12(x791)+P10(x791) % 0.56/0.62 [80]~P11(x801)+~P22(x801)+P10(x801) % 0.56/0.62 [81]~P1(x811)+~P22(x811)+P21(x811) % 0.56/0.62 [82]~P11(x821)+~P12(x821)+P21(x821) % 0.56/0.62 %EqnAxiom % 0.56/0.62 % 0.56/0.62 %------------------------------------------- % 0.56/0.62 cnf(83,plain, % 0.56/0.62 (P10(a1)), % 0.56/0.62 inference(scs_inference,[],[1,3,79])). % 0.56/0.62 cnf(85,plain, % 0.56/0.62 (P21(a1)), % 0.56/0.62 inference(scs_inference,[],[1,3,4,79,81])). % 0.56/0.62 cnf(89,plain, % 0.56/0.62 (P9(a1)), % 0.56/0.62 inference(scs_inference,[],[1,3,4,79,81,71,75])). % 0.56/0.62 cnf(91,plain, % 0.56/0.62 (P20(a1)), % 0.56/0.62 inference(scs_inference,[],[1,2,3,4,79,81,71,75,77])). % 0.56/0.62 cnf(104,plain, % 0.56/0.62 (P7(a1)), % 0.56/0.62 inference(scs_inference,[],[89,91,83,85,72,74,69,67,63])). % 0.56/0.62 cnf(110,plain, % 0.56/0.62 (P17(a1)), % 0.56/0.62 inference(scs_inference,[],[89,91,83,85,72,74,69,67,63,55,57,61])). % 0.56/0.62 cnf(112,plain, % 0.56/0.62 (P18(a1)), % 0.56/0.62 inference(scs_inference,[],[89,91,83,85,72,74,69,67,63,55,57,61,65])). % 0.56/0.62 cnf(128,plain, % 0.56/0.62 ($false), % 0.56/0.62 inference(scs_inference,[],[110,104,112,56,60,52,53,18]), % 0.56/0.62 ['proof']). % 0.56/0.62 % SZS output end Proof % 0.56/0.62 % Total time :0.010000s %------------------------------------------------------------------------------