TSTP Solution File: SYN098-1.002 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN098-1.002 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n023.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 01:50:05 EDT 2023

% Result   : Unsatisfiable 0.19s 0.57s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   68
% Syntax   : Number of formulae    :   91 (   9 unt;  54 typ;   0 def)
%            Number of atoms       :   79 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   86 (  44   ~;  42   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   55 (  54 usr;  55 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    u_1: $o ).

tff(decl_23,type,
    p_0: $o ).

tff(decl_24,type,
    q_0: $o ).

tff(decl_25,type,
    u_2: $o ).

tff(decl_26,type,
    p_1: $o ).

tff(decl_27,type,
    p_2: $o ).

tff(decl_28,type,
    u_3: $o ).

tff(decl_29,type,
    q_1: $o ).

tff(decl_30,type,
    q_2: $o ).

tff(decl_31,type,
    u_4: $o ).

tff(decl_32,type,
    p_3: $o ).

tff(decl_33,type,
    u_5: $o ).

tff(decl_34,type,
    q_3: $o ).

tff(decl_35,type,
    u_6: $o ).

tff(decl_36,type,
    u_7: $o ).

tff(decl_37,type,
    u_8: $o ).

tff(decl_38,type,
    u_9: $o ).

tff(decl_39,type,
    u_10: $o ).

tff(decl_40,type,
    u_11: $o ).

tff(decl_41,type,
    p_4: $o ).

tff(decl_42,type,
    u_12: $o ).

tff(decl_43,type,
    u_13: $o ).

tff(decl_44,type,
    q_4: $o ).

tff(decl_45,type,
    u_14: $o ).

tff(decl_46,type,
    u_15: $o ).

tff(decl_47,type,
    u_16: $o ).

tff(decl_48,type,
    u_17: $o ).

tff(decl_49,type,
    sym_u_1: $o ).

tff(decl_50,type,
    sym_p_0: $o ).

tff(decl_51,type,
    sym_q_0: $o ).

tff(decl_52,type,
    sym_u_2: $o ).

tff(decl_53,type,
    sym_p_1: $o ).

tff(decl_54,type,
    sym_p_2: $o ).

tff(decl_55,type,
    sym_u_3: $o ).

tff(decl_56,type,
    sym_q_1: $o ).

tff(decl_57,type,
    sym_q_2: $o ).

tff(decl_58,type,
    sym_u_4: $o ).

tff(decl_59,type,
    sym_p_3: $o ).

tff(decl_60,type,
    sym_u_5: $o ).

tff(decl_61,type,
    sym_q_3: $o ).

tff(decl_62,type,
    sym_u_6: $o ).

tff(decl_63,type,
    sym_u_7: $o ).

tff(decl_64,type,
    sym_u_8: $o ).

tff(decl_65,type,
    sym_u_9: $o ).

tff(decl_66,type,
    sym_u_10: $o ).

tff(decl_67,type,
    sym_u_11: $o ).

tff(decl_68,type,
    sym_p_4: $o ).

tff(decl_69,type,
    sym_u_12: $o ).

tff(decl_70,type,
    sym_u_13: $o ).

tff(decl_71,type,
    sym_q_4: $o ).

tff(decl_72,type,
    sym_u_14: $o ).

tff(decl_73,type,
    sym_u_15: $o ).

tff(decl_74,type,
    sym_u_16: $o ).

tff(decl_75,type,
    sym_u_17: $o ).

cnf(sym_u_14_t3_1,axiom,
    ( sym_u_14
    | ~ sym_p_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_14_t3_1) ).

cnf(sym_u_t3_1,axiom,
    ( ~ sym_u_14
    | ~ sym_p_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_t3_1) ).

cnf(sym_u_17_t3_4,axiom,
    ( sym_u_17
    | ~ sym_q_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_17_t3_4) ).

cnf(sym_u_t3_4,axiom,
    ( ~ sym_u_17
    | ~ sym_q_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_t3_4) ).

cnf(sym_u_s3_type12_3,axiom,
    ( sym_p_2
    | sym_q_3
    | ~ sym_u_8
    | ~ sym_q_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_s3_type12_3) ).

cnf(sym_u_8_s3_type12_3,axiom,
    ( sym_u_8
    | ~ sym_q_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_8_s3_type12_3) ).

cnf(sym_u_16_t3_3,axiom,
    ( sym_u_16
    | ~ sym_q_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_16_t3_3) ).

cnf(sym_u_t3_3,axiom,
    ( ~ sym_u_16
    | ~ sym_q_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_t3_3) ).

cnf(sym_u_s3_goal_1,axiom,
    ( sym_p_0
    | sym_q_0
    | ~ sym_u_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_s3_goal_1) ).

cnf(sym_u_1_s3_goal_1,axiom,
    sym_u_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_1_s3_goal_1) ).

cnf(sym_u_s3_type11_2,axiom,
    ( sym_q_1
    | sym_q_2
    | ~ sym_u_3
    | ~ sym_p_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_s3_type11_2) ).

cnf(sym_u_3_s3_type11_2,axiom,
    ( sym_u_3
    | ~ sym_p_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_3_s3_type11_2) ).

cnf(sym_u_s3_type12_2,axiom,
    ( sym_q_1
    | sym_p_2
    | ~ sym_u_7
    | ~ sym_q_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_s3_type12_2) ).

cnf(sym_u_7_s3_type12_2,axiom,
    ( sym_u_7
    | ~ sym_q_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_7_s3_type12_2) ).

cnf(c_0_14,axiom,
    ( sym_u_14
    | ~ sym_p_2 ),
    sym_u_14_t3_1 ).

cnf(c_0_15,axiom,
    ( ~ sym_u_14
    | ~ sym_p_2 ),
    sym_u_t3_1 ).

cnf(c_0_16,axiom,
    ( sym_u_17
    | ~ sym_q_3 ),
    sym_u_17_t3_4 ).

cnf(c_0_17,axiom,
    ( ~ sym_u_17
    | ~ sym_q_3 ),
    sym_u_t3_4 ).

cnf(c_0_18,axiom,
    ( sym_p_2
    | sym_q_3
    | ~ sym_u_8
    | ~ sym_q_1 ),
    sym_u_s3_type12_3 ).

cnf(c_0_19,plain,
    ~ sym_p_2,
    inference(csr,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,plain,
    ~ sym_q_3,
    inference(csr,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_21,axiom,
    ( sym_u_8
    | ~ sym_q_1 ),
    sym_u_8_s3_type12_3 ).

cnf(c_0_22,axiom,
    ( sym_u_16
    | ~ sym_q_2 ),
    sym_u_16_t3_3 ).

cnf(c_0_23,axiom,
    ( ~ sym_u_16
    | ~ sym_q_2 ),
    sym_u_t3_3 ).

cnf(c_0_24,axiom,
    ( sym_p_0
    | sym_q_0
    | ~ sym_u_1 ),
    sym_u_s3_goal_1 ).

cnf(c_0_25,axiom,
    sym_u_1,
    sym_u_1_s3_goal_1 ).

cnf(c_0_26,axiom,
    ( sym_q_1
    | sym_q_2
    | ~ sym_u_3
    | ~ sym_p_0 ),
    sym_u_s3_type11_2 ).

cnf(c_0_27,plain,
    ~ sym_q_1,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21]) ).

cnf(c_0_28,plain,
    ~ sym_q_2,
    inference(csr,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_29,axiom,
    ( sym_u_3
    | ~ sym_p_0 ),
    sym_u_3_s3_type11_2 ).

cnf(c_0_30,axiom,
    ( sym_q_1
    | sym_p_2
    | ~ sym_u_7
    | ~ sym_q_0 ),
    sym_u_s3_type12_2 ).

cnf(c_0_31,axiom,
    ( sym_u_7
    | ~ sym_q_0 ),
    sym_u_7_s3_type12_2 ).

cnf(c_0_32,plain,
    ( sym_q_0
    | sym_p_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]) ).

cnf(c_0_33,plain,
    ~ sym_p_0,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]) ).

cnf(c_0_34,plain,
    ( sym_q_1
    | ~ sym_q_0 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_30,c_0_19]),c_0_31]) ).

cnf(c_0_35,plain,
    sym_q_0,
    inference(sr,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_36,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]),c_0_27]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN098-1.002 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sat Aug 26 19:32:56 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.56  start to proof: theBenchmark
% 0.19/0.57  % Version  : CSE_E---1.5
% 0.19/0.57  % Problem  : theBenchmark.p
% 0.19/0.57  % Proof found
% 0.19/0.57  % SZS status Theorem for theBenchmark.p
% 0.19/0.57  % SZS output start Proof
% See solution above
% 0.19/0.57  % Total time : 0.006000 s
% 0.19/0.57  % SZS output end Proof
% 0.19/0.57  % Total time : 0.009000 s
%------------------------------------------------------------------------------