TSTP Solution File: SYN102-1.007.007 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN102-1.007.007 : TPTP v8.1.2. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n019.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 : Fri Sep 1 01:44:12 EDT 2023
% Result : Unsatisfiable 0.21s 0.68s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN102-1.007.007 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.17/0.35 % Computer : n019.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Sat Aug 26 20:06:28 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 0.21/0.66 %-------------------------------------------
% 0.21/0.66 % File :CSE---1.6
% 0.21/0.66 % Problem :theBenchmark
% 0.21/0.66 % Transform :cnf
% 0.21/0.66 % Format :tptp:raw
% 0.21/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.66
% 0.21/0.66 % Result :Theorem 0.020000s
% 0.21/0.66 % Output :CNFRefutation 0.020000s
% 0.21/0.66 %-------------------------------------------
% 0.21/0.67 %--------------------------------------------------------------------------
% 0.21/0.67 % File : SYN102-1.007.007 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.21/0.67 % Domain : Syntactic
% 0.21/0.67 % Problem : Plaisted problem n(t(3,7),7)
% 0.21/0.67 % Version : Biased.
% 0.21/0.67 % English :
% 0.21/0.67
% 0.21/0.67 % Refs : [Pla94] Plaisted (1994), The Search Efficiency of Theorem Prov
% 0.21/0.67 % Source : [Pla94]
% 0.21/0.67 % Names : N(T3n)) [Pla94]
% 0.21/0.67
% 0.21/0.67 % Status : Unsatisfiable
% 0.21/0.67 % Rating : 0.00 v2.3.0, 0.33 v2.2.1, 0.00 v2.1.0
% 0.21/0.67 % Syntax : Number of clauses : 71 ( 14 unt; 0 nHn; 71 RR)
% 0.21/0.67 % Number of literals : 200 ( 0 equ; 130 neg)
% 0.21/0.67 % Maximal clause size : 8 ( 2 avg)
% 0.21/0.67 % Maximal term depth : 1 ( 1 avg)
% 0.21/0.67 % Number of predicates : 37 ( 37 usr; 0 prp; 1-7 aty)
% 0.21/0.67 % Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% 0.21/0.67 % Number of variables : 392 ( 0 sgn)
% 0.21/0.67 % SPC : CNF_UNS_EPR_NEQ_HRN
% 0.21/0.67
% 0.21/0.67 % Comments : Biased away from various calculi.
% 0.21/0.67 % : tptp2X: -f tptp -s7:7 SYN102-1.g
% 0.21/0.67 % Bugfixes : v1.2.0 - Bugfix in SYN087-1.
% 0.21/0.67 %--------------------------------------------------------------------------
% 0.21/0.67 cnf(n_s3_goal_1,negated_conjecture,
% 0.21/0.67 ( ~ p_0(a,a,a,a,a,a,a)
% 0.21/0.67 | ~ q_0(a,a,a,a,a,a,a) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type11_1,axiom,
% 0.21/0.67 ( p_0(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_1(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type11_2,axiom,
% 0.21/0.67 ( p_0(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_1(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type11_3,axiom,
% 0.21/0.67 ( p_1(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type11_4,axiom,
% 0.21/0.67 ( p_1(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type11_5,axiom,
% 0.21/0.67 ( p_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type11_6,axiom,
% 0.21/0.67 ( p_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type11_7,axiom,
% 0.21/0.67 ( p_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type11_8,axiom,
% 0.21/0.67 ( p_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type11_9,axiom,
% 0.21/0.67 ( p_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type11_10,axiom,
% 0.21/0.67 ( p_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type11_11,axiom,
% 0.21/0.67 ( p_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type11_12,axiom,
% 0.21/0.67 ( p_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type11_13,axiom,
% 0.21/0.67 ( p_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type11_14,axiom,
% 0.21/0.67 ( p_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type11_15,axiom,
% 0.21/0.67 ( p_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type11_16,axiom,
% 0.21/0.67 ( p_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type11_17,axiom,
% 0.21/0.67 ( p_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type11_18,axiom,
% 0.21/0.67 ( p_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type11_19,axiom,
% 0.21/0.67 ( p_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type11_20,axiom,
% 0.21/0.67 ( p_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type11_21,axiom,
% 0.21/0.67 ( p_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type11_22,axiom,
% 0.21/0.67 ( p_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type11_23,axiom,
% 0.21/0.67 ( p_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type11_24,axiom,
% 0.21/0.67 ( p_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type12_1,axiom,
% 0.21/0.67 ( q_0(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_1(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type12_2,axiom,
% 0.21/0.67 ( q_0(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_1(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type12_3,axiom,
% 0.21/0.67 ( q_1(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type12_4,axiom,
% 0.21/0.67 ( q_1(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type12_5,axiom,
% 0.21/0.67 ( q_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type12_6,axiom,
% 0.21/0.67 ( q_2(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type12_7,axiom,
% 0.21/0.67 ( q_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type12_8,axiom,
% 0.21/0.67 ( q_3(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type12_9,axiom,
% 0.21/0.67 ( q_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type12_10,axiom,
% 0.21/0.67 ( q_4(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type12_11,axiom,
% 0.21/0.67 ( q_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type12_12,axiom,
% 0.21/0.67 ( q_5(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type12_13,axiom,
% 0.21/0.67 ( q_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type12_14,axiom,
% 0.21/0.67 ( q_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type12_15,axiom,
% 0.21/0.67 ( q_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type12_16,axiom,
% 0.21/0.67 ( q_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type12_17,axiom,
% 0.21/0.67 ( q_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type12_18,axiom,
% 0.21/0.67 ( q_8(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type12_19,axiom,
% 0.21/0.67 ( q_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type12_20,axiom,
% 0.21/0.67 ( q_9(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type12_21,axiom,
% 0.21/0.67 ( q_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type12_22,axiom,
% 0.21/0.67 ( q_10(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.67
% 0.21/0.67 cnf(n_s3_type12_23,axiom,
% 0.21/0.67 ( q_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ p_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.67 | ~ q_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(n_s3_type12_24,axiom,
% 0.21/0.68 ( q_11(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.68 | ~ q_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.68 | ~ p_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(n_s3_type2_1,axiom,
% 0.21/0.68 ( p_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.68 | ~ p_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(n_s3_type2_2,axiom,
% 0.21/0.68 ( p_14(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.68 | ~ p_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(n_s3_type2_3,axiom,
% 0.21/0.68 ( q_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.68 | ~ q_6(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(n_s3_type2_4,axiom,
% 0.21/0.68 ( q_14(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.68 | ~ q_7(X_1,X_2,X_3,X_4,X_5,X_6,X_7) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(n_t3_1,axiom,
% 0.21/0.68 ( p_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.68 | ~ nq_1(X_1)
% 0.21/0.68 | ~ nq_2(X_2)
% 0.21/0.68 | ~ nq_3(X_3)
% 0.21/0.68 | ~ nq_4(X_4)
% 0.21/0.68 | ~ nq_5(X_5)
% 0.21/0.68 | ~ nq_6(X_6)
% 0.21/0.68 | ~ nq_7(X_7) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(n_t3_2,axiom,
% 0.21/0.68 ( p_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.68 | ~ nq_1(X_1)
% 0.21/0.68 | ~ nq_2(X_2)
% 0.21/0.68 | ~ nq_3(X_3)
% 0.21/0.68 | ~ nq_4(X_4)
% 0.21/0.68 | ~ nq_5(X_5)
% 0.21/0.68 | ~ nq_6(X_6)
% 0.21/0.68 | ~ nq_7(X_7) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(n_t3_3,axiom,
% 0.21/0.68 ( q_12(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.68 | ~ nq_1(X_1)
% 0.21/0.68 | ~ nq_2(X_2)
% 0.21/0.68 | ~ nq_3(X_3)
% 0.21/0.68 | ~ nq_4(X_4)
% 0.21/0.68 | ~ nq_5(X_5)
% 0.21/0.68 | ~ nq_6(X_6)
% 0.21/0.68 | ~ nq_7(X_7) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(n_t3_4,axiom,
% 0.21/0.68 ( q_13(X_1,X_2,X_3,X_4,X_5,X_6,X_7)
% 0.21/0.68 | ~ nq_1(X_1)
% 0.21/0.68 | ~ nq_2(X_2)
% 0.21/0.68 | ~ nq_3(X_3)
% 0.21/0.68 | ~ nq_4(X_4)
% 0.21/0.68 | ~ nq_5(X_5)
% 0.21/0.68 | ~ nq_6(X_6)
% 0.21/0.68 | ~ nq_7(X_7) ) ).
% 0.21/0.68
% 0.21/0.68 cnf(n_1,axiom,
% 0.21/0.68 nq_1(a) ).
% 0.21/0.68
% 0.21/0.68 cnf(n_2,axiom,
% 0.21/0.68 nq_1(b) ).
% 0.21/0.68
% 0.21/0.68 cnf(n_3,axiom,
% 0.21/0.68 nq_2(a) ).
% 0.21/0.68
% 0.21/0.68 cnf(n_4,axiom,
% 0.21/0.68 nq_2(b) ).
% 0.21/0.68
% 0.21/0.68 cnf(n_5,axiom,
% 0.21/0.68 nq_3(a) ).
% 0.21/0.68
% 0.21/0.68 cnf(n_6,axiom,
% 0.21/0.68 nq_3(b) ).
% 0.21/0.68
% 0.21/0.68 cnf(n_7,axiom,
% 0.21/0.68 nq_4(a) ).
% 0.21/0.68
% 0.21/0.68 cnf(n_8,axiom,
% 0.21/0.68 nq_4(b) ).
% 0.21/0.68
% 0.21/0.68 cnf(n_9,axiom,
% 0.21/0.68 nq_5(a) ).
% 0.21/0.68
% 0.21/0.68 cnf(n_10,axiom,
% 0.21/0.68 nq_5(b) ).
% 0.21/0.68
% 0.21/0.68 cnf(n_11,axiom,
% 0.21/0.68 nq_6(a) ).
% 0.21/0.68
% 0.21/0.68 cnf(n_12,axiom,
% 0.21/0.68 nq_6(b) ).
% 0.21/0.68
% 0.21/0.68 cnf(n_13,axiom,
% 0.21/0.68 nq_7(a) ).
% 0.21/0.68
% 0.21/0.68 cnf(n_14,axiom,
% 0.21/0.68 nq_7(b) ).
% 0.21/0.68
% 0.21/0.68 %--------------------------------------------------------------------------
% 0.21/0.68 %-------------------------------------------
% 0.21/0.68 % Proof found
% 0.21/0.68 % SZS status Theorem for theBenchmark
% 0.21/0.68 % SZS output start Proof
% 0.21/0.68 %ClaNum:71(EqnAxiom:0)
% 0.21/0.68 %VarNum:1120(SingletonVarNum:392)
% 0.21/0.68 %MaxLitNum:8
% 0.21/0.68 %MaxfuncDepth:0
% 0.21/0.68 %SharedTerms:18
% 0.21/0.68 %goalClause: 23
% 0.21/0.68 [1]P1(a1)
% 0.21/0.68 [2]P1(a2)
% 0.21/0.68 [3]P2(a1)
% 0.21/0.68 [4]P2(a2)
% 0.21/0.68 [5]P3(a1)
% 0.21/0.68 [6]P3(a2)
% 0.21/0.68 [7]P4(a1)
% 0.21/0.68 [8]P4(a2)
% 0.21/0.68 [9]P5(a1)
% 0.21/0.68 [10]P5(a2)
% 0.21/0.68 [11]P6(a1)
% 0.21/0.68 [12]P6(a2)
% 0.21/0.68 [13]P7(a1)
% 0.21/0.68 [14]P7(a2)
% 0.21/0.68 [23]~P9(a1,a1,a1,a1,a1,a1,a1)+~P22(a1,a1,a1,a1,a1,a1,a1)
% 0.21/0.68 [19]~P15(x191,x192,x193,x194,x195,x196,x197)+P14(x191,x192,x193,x194,x195,x196,x197)
% 0.21/0.68 [20]~P29(x201,x202,x203,x204,x205,x206,x207)+P28(x201,x202,x203,x204,x205,x206,x207)
% 0.21/0.68 [21]~P21(x211,x212,x213,x214,x215,x216,x217)+P16(x211,x212,x213,x214,x215,x216,x217)
% 0.21/0.68 [22]~P35(x221,x222,x223,x224,x225,x226,x227)+P30(x221,x222,x223,x224,x225,x226,x227)
% 0.21/0.68 [24]~P10(x241,x242,x243,x244,x245,x246,x247)+~P17(x241,x242,x243,x244,x245,x246,x247)+P9(x241,x242,x243,x244,x245,x246,x247)
% 0.21/0.68 [25]~P25(x251,x252,x253,x254,x255,x256,x257)+~P31(x251,x252,x253,x254,x255,x256,x257)+P9(x251,x252,x253,x254,x255,x256,x257)
% 0.21/0.68 [26]~P10(x261,x262,x263,x264,x265,x266,x267)+~P31(x261,x262,x263,x264,x265,x266,x267)+P22(x261,x262,x263,x264,x265,x266,x267)
% 0.21/0.68 [27]~P17(x271,x272,x273,x274,x275,x276,x277)+~P25(x271,x272,x273,x274,x275,x276,x277)+P22(x271,x272,x273,x274,x275,x276,x277)
% 0.21/0.68 [28]~P17(x281,x282,x283,x284,x285,x286,x287)+~P18(x281,x282,x283,x284,x285,x286,x287)+P10(x281,x282,x283,x284,x285,x286,x287)
% 0.21/0.68 [29]~P31(x291,x292,x293,x294,x295,x296,x297)+~P32(x291,x292,x293,x294,x295,x296,x297)+P10(x291,x292,x293,x294,x295,x296,x297)
% 0.21/0.68 [30]~P18(x301,x302,x303,x304,x305,x306,x307)+~P19(x301,x302,x303,x304,x305,x306,x307)+P17(x301,x302,x303,x304,x305,x306,x307)
% 0.21/0.68 [31]~P32(x311,x312,x313,x314,x315,x316,x317)+~P33(x311,x312,x313,x314,x315,x316,x317)+P17(x311,x312,x313,x314,x315,x316,x317)
% 0.21/0.68 [32]~P17(x321,x322,x323,x324,x325,x326,x327)+~P32(x321,x322,x323,x324,x325,x326,x327)+P25(x321,x322,x323,x324,x325,x326,x327)
% 0.21/0.68 [33]~P31(x331,x332,x333,x334,x335,x336,x337)+~P18(x331,x332,x333,x334,x335,x336,x337)+P25(x331,x332,x333,x334,x335,x336,x337)
% 0.21/0.68 [34]~P18(x341,x342,x343,x344,x345,x346,x347)+~P33(x341,x342,x343,x344,x345,x346,x347)+P31(x341,x342,x343,x344,x345,x346,x347)
% 0.21/0.68 [35]~P32(x351,x352,x353,x354,x355,x356,x357)+~P19(x351,x352,x353,x354,x355,x356,x357)+P31(x351,x352,x353,x354,x355,x356,x357)
% 0.21/0.68 [36]~P19(x361,x362,x363,x364,x365,x366,x367)+~P20(x361,x362,x363,x364,x365,x366,x367)+P18(x361,x362,x363,x364,x365,x366,x367)
% 0.21/0.68 [37]~P33(x371,x372,x373,x374,x375,x376,x377)+~P34(x371,x372,x373,x374,x375,x376,x377)+P18(x371,x372,x373,x374,x375,x376,x377)
% 0.21/0.68 [38]~P19(x381,x382,x383,x384,x385,x386,x387)+~P34(x381,x382,x383,x384,x385,x386,x387)+P32(x381,x382,x383,x384,x385,x386,x387)
% 0.21/0.68 [39]~P33(x391,x392,x393,x394,x395,x396,x397)+~P20(x391,x392,x393,x394,x395,x396,x397)+P32(x391,x392,x393,x394,x395,x396,x397)
% 0.21/0.68 [40]~P20(x401,x402,x403,x404,x405,x406,x407)+~P15(x401,x402,x403,x404,x405,x406,x407)+P19(x401,x402,x403,x404,x405,x406,x407)
% 0.21/0.68 [41]~P34(x411,x412,x413,x414,x415,x416,x417)+~P29(x411,x412,x413,x414,x415,x416,x417)+P19(x411,x412,x413,x414,x415,x416,x417)
% 0.21/0.68 [42]~P20(x421,x422,x423,x424,x425,x426,x427)+~P29(x421,x422,x423,x424,x425,x426,x427)+P33(x421,x422,x423,x424,x425,x426,x427)
% 0.21/0.68 [43]~P34(x431,x432,x433,x434,x435,x436,x437)+~P15(x431,x432,x433,x434,x435,x436,x437)+P33(x431,x432,x433,x434,x435,x436,x437)
% 0.21/0.68 [44]~P15(x441,x442,x443,x444,x445,x446,x447)+~P21(x441,x442,x443,x444,x445,x446,x447)+P20(x441,x442,x443,x444,x445,x446,x447)
% 0.21/0.68 [45]~P29(x451,x452,x453,x454,x455,x456,x457)+~P35(x451,x452,x453,x454,x455,x456,x457)+P20(x451,x452,x453,x454,x455,x456,x457)
% 0.21/0.68 [46]~P15(x461,x462,x463,x464,x465,x466,x467)+~P35(x461,x462,x463,x464,x465,x466,x467)+P34(x461,x462,x463,x464,x465,x466,x467)
% 0.21/0.68 [47]~P29(x471,x472,x473,x474,x475,x476,x477)+~P21(x471,x472,x473,x474,x475,x476,x477)+P34(x471,x472,x473,x474,x475,x476,x477)
% 0.21/0.68 [48]~P21(x481,x482,x483,x484,x485,x486,x487)+~P23(x481,x482,x483,x484,x485,x486,x487)+P15(x481,x482,x483,x484,x485,x486,x487)
% 0.21/0.68 [49]~P35(x491,x492,x493,x494,x495,x496,x497)+~P36(x491,x492,x493,x494,x495,x496,x497)+P15(x491,x492,x493,x494,x495,x496,x497)
% 0.21/0.68 [50]~P21(x501,x502,x503,x504,x505,x506,x507)+~P36(x501,x502,x503,x504,x505,x506,x507)+P29(x501,x502,x503,x504,x505,x506,x507)
% 0.21/0.68 [51]~P35(x511,x512,x513,x514,x515,x516,x517)+~P23(x511,x512,x513,x514,x515,x516,x517)+P29(x511,x512,x513,x514,x515,x516,x517)
% 0.21/0.68 [52]~P23(x521,x522,x523,x524,x525,x526,x527)+~P24(x521,x522,x523,x524,x525,x526,x527)+P21(x521,x522,x523,x524,x525,x526,x527)
% 0.21/0.68 [53]~P36(x531,x532,x533,x534,x535,x536,x537)+~P37(x531,x532,x533,x534,x535,x536,x537)+P21(x531,x532,x533,x534,x535,x536,x537)
% 0.21/0.68 [54]~P23(x541,x542,x543,x544,x545,x546,x547)+~P37(x541,x542,x543,x544,x545,x546,x547)+P35(x541,x542,x543,x544,x545,x546,x547)
% 0.21/0.68 [55]~P36(x551,x552,x553,x554,x555,x556,x557)+~P24(x551,x552,x553,x554,x555,x556,x557)+P35(x551,x552,x553,x554,x555,x556,x557)
% 0.21/0.68 [56]~P24(x561,x562,x563,x564,x565,x566,x567)+~P11(x561,x562,x563,x564,x565,x566,x567)+P23(x561,x562,x563,x564,x565,x566,x567)
% 0.21/0.68 [57]~P37(x571,x572,x573,x574,x575,x576,x577)+~P26(x571,x572,x573,x574,x575,x576,x577)+P23(x571,x572,x573,x574,x575,x576,x577)
% 0.21/0.68 [58]~P24(x581,x582,x583,x584,x585,x586,x587)+~P26(x581,x582,x583,x584,x585,x586,x587)+P36(x581,x582,x583,x584,x585,x586,x587)
% 0.21/0.68 [59]~P37(x591,x592,x593,x594,x595,x596,x597)+~P11(x591,x592,x593,x594,x595,x596,x597)+P36(x591,x592,x593,x594,x595,x596,x597)
% 0.21/0.68 [60]~P11(x601,x602,x603,x604,x605,x606,x607)+~P12(x601,x602,x603,x604,x605,x606,x607)+P24(x601,x602,x603,x604,x605,x606,x607)
% 0.21/0.68 [61]~P26(x611,x612,x613,x614,x615,x616,x617)+~P27(x611,x612,x613,x614,x615,x616,x617)+P24(x611,x612,x613,x614,x615,x616,x617)
% 0.21/0.68 [62]~P11(x621,x622,x623,x624,x625,x626,x627)+~P27(x621,x622,x623,x624,x625,x626,x627)+P37(x621,x622,x623,x624,x625,x626,x627)
% 0.21/0.68 [63]~P26(x631,x632,x633,x634,x635,x636,x637)+~P12(x631,x632,x633,x634,x635,x636,x637)+P37(x631,x632,x633,x634,x635,x636,x637)
% 0.21/0.68 [64]~P12(x641,x642,x643,x644,x645,x646,x647)+~P8(x641,x642,x643,x644,x645,x646,x647)+P11(x641,x642,x643,x644,x645,x646,x647)
% 0.21/0.68 [65]~P27(x651,x652,x653,x654,x655,x656,x657)+~P13(x651,x652,x653,x654,x655,x656,x657)+P11(x651,x652,x653,x654,x655,x656,x657)
% 0.21/0.68 [66]~P12(x661,x662,x663,x664,x665,x666,x667)+~P13(x661,x662,x663,x664,x665,x666,x667)+P26(x661,x662,x663,x664,x665,x666,x667)
% 0.21/0.68 [67]~P27(x671,x672,x673,x674,x675,x676,x677)+~P8(x671,x672,x673,x674,x675,x676,x677)+P26(x671,x672,x673,x674,x675,x676,x677)
% 0.21/0.68 [68]~P8(x681,x682,x683,x684,x685,x686,x687)+~P14(x681,x682,x683,x684,x685,x686,x687)+P12(x681,x682,x683,x684,x685,x686,x687)
% 0.21/0.68 [69]~P13(x691,x692,x693,x694,x695,x696,x697)+~P28(x691,x692,x693,x694,x695,x696,x697)+P12(x691,x692,x693,x694,x695,x696,x697)
% 0.21/0.68 [70]~P8(x701,x702,x703,x704,x705,x706,x707)+~P28(x701,x702,x703,x704,x705,x706,x707)+P27(x701,x702,x703,x704,x705,x706,x707)
% 0.21/0.68 [71]~P13(x711,x712,x713,x714,x715,x716,x717)+~P14(x711,x712,x713,x714,x715,x716,x717)+P27(x711,x712,x713,x714,x715,x716,x717)
% 0.21/0.68 [15]~P1(x151)+~P2(x152)+~P3(x153)+~P4(x154)+~P5(x155)+~P6(x156)+~P7(x157)+P8(x151,x152,x153,x154,x155,x156,x157)
% 0.21/0.68 [16]~P1(x161)+~P2(x162)+~P3(x163)+~P4(x164)+~P5(x165)+~P6(x166)+~P7(x167)+P13(x161,x162,x163,x164,x165,x166,x167)
% 0.21/0.68 [17]~P1(x171)+~P2(x172)+~P3(x173)+~P4(x174)+~P5(x175)+~P6(x176)+~P7(x177)+P14(x171,x172,x173,x174,x175,x176,x177)
% 0.21/0.68 [18]~P1(x181)+~P2(x182)+~P3(x183)+~P4(x184)+~P5(x185)+~P6(x186)+~P7(x187)+P28(x181,x182,x183,x184,x185,x186,x187)
% 0.21/0.68 %EqnAxiom
% 0.21/0.68
% 0.21/0.68 %-------------------------------------------
% 0.21/0.68 cnf(120,plain,
% 0.21/0.68 (P22(a1,a1,a1,a1,a1,a1,a1)),
% 0.21/0.68 inference(scs_inference,[],[1,3,5,7,9,11,13,18,17,16,15,71,69,67,65,63,61,59,57,55,53,51,49,47,45,43,41,39,37,35,33,31,29,27])).
% 0.21/0.68 cnf(122,plain,
% 0.21/0.68 (P9(a1,a1,a1,a1,a1,a1,a1)),
% 0.21/0.68 inference(scs_inference,[],[1,3,5,7,9,11,13,18,17,16,15,71,69,67,65,63,61,59,57,55,53,51,49,47,45,43,41,39,37,35,33,31,29,27,25])).
% 0.21/0.68 cnf(125,plain,
% 0.21/0.68 ($false),
% 0.21/0.68 inference(scs_inference,[],[122,120,23]),
% 0.21/0.68 ['proof']).
% 0.21/0.68 % SZS output end Proof
% 0.21/0.68 % Total time :0.020000s
%------------------------------------------------------------------------------