TSTP Solution File: SYN102-1.007.007 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN102-1.007.007 : TPTP v8.1.2. Bugfixed v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.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 May  3 03:29:16 EDT 2024

% Result   : Unsatisfiable 0.74s 1.19s
% Output   : CNFRefutation 0.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   30
% Syntax   : Number of clauses     :   53 (   8 unt;   0 nHn;  53 RR)
%            Number of literals    :  172 (   0 equ; 120 neg)
%            Maximal clause size   :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   30 (  29 usr;   1 prp; 0-7 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :  154 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( ~ p_0(a,a,a,a,a,a,a)
    | ~ q_0(a,a,a,a,a,a,a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_goal_1) ).

cnf(c_51,plain,
    ( ~ q_1(X0,X1,X2,X3,X4,X5,X6)
    | ~ q_2(X0,X1,X2,X3,X4,X5,X6)
    | p_0(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_2) ).

cnf(c_55,plain,
    ( ~ q_3(X0,X1,X2,X3,X4,X5,X6)
    | ~ q_4(X0,X1,X2,X3,X4,X5,X6)
    | p_2(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_6) ).

cnf(c_57,plain,
    ( ~ q_4(X0,X1,X2,X3,X4,X5,X6)
    | ~ q_5(X0,X1,X2,X3,X4,X5,X6)
    | p_3(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_8) ).

cnf(c_61,plain,
    ( ~ q_6(X0,X1,X2,X3,X4,X5,X6)
    | ~ q_7(X0,X1,X2,X3,X4,X5,X6)
    | p_5(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_12) ).

cnf(c_64,plain,
    ( ~ p_8(X0,X1,X2,X3,X4,X5,X6)
    | ~ p_9(X0,X1,X2,X3,X4,X5,X6)
    | p_7(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_15) ).

cnf(c_67,plain,
    ( ~ q_9(X0,X1,X2,X3,X4,X5,X6)
    | ~ q_10(X0,X1,X2,X3,X4,X5,X6)
    | p_8(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_18) ).

cnf(c_69,plain,
    ( ~ q_10(X0,X1,X2,X3,X4,X5,X6)
    | ~ q_11(X0,X1,X2,X3,X4,X5,X6)
    | p_9(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_20) ).

cnf(c_73,plain,
    ( ~ q_12(X0,X1,X2,X3,X4,X5,X6)
    | ~ q_13(X0,X1,X2,X3,X4,X5,X6)
    | p_11(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type11_24) ).

cnf(c_75,plain,
    ( ~ p_2(X0,X1,X2,X3,X4,X5,X6)
    | ~ q_1(X0,X1,X2,X3,X4,X5,X6)
    | q_0(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_2) ).

cnf(c_76,plain,
    ( ~ p_2(X0,X1,X2,X3,X4,X5,X6)
    | ~ q_3(X0,X1,X2,X3,X4,X5,X6)
    | q_1(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_3) ).

cnf(c_78,plain,
    ( ~ p_3(X0,X1,X2,X3,X4,X5,X6)
    | ~ q_4(X0,X1,X2,X3,X4,X5,X6)
    | q_2(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_5) ).

cnf(c_81,plain,
    ( ~ q_4(X0,X1,X2,X3,X4,X5,X6)
    | ~ p_5(X0,X1,X2,X3,X4,X5,X6)
    | q_3(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_8) ).

cnf(c_82,plain,
    ( ~ p_5(X0,X1,X2,X3,X4,X5,X6)
    | ~ q_6(X0,X1,X2,X3,X4,X5,X6)
    | q_4(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_9) ).

cnf(c_85,plain,
    ( ~ q_6(X0,X1,X2,X3,X4,X5,X6)
    | ~ p_7(X0,X1,X2,X3,X4,X5,X6)
    | q_5(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_12) ).

cnf(c_87,plain,
    ( ~ q_7(X0,X1,X2,X3,X4,X5,X6)
    | ~ p_8(X0,X1,X2,X3,X4,X5,X6)
    | q_6(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_14) ).

cnf(c_88,plain,
    ( ~ p_8(X0,X1,X2,X3,X4,X5,X6)
    | ~ q_9(X0,X1,X2,X3,X4,X5,X6)
    | q_7(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_15) ).

cnf(c_93,plain,
    ( ~ q_10(X0,X1,X2,X3,X4,X5,X6)
    | ~ p_11(X0,X1,X2,X3,X4,X5,X6)
    | q_9(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_20) ).

cnf(c_94,plain,
    ( ~ p_11(X0,X1,X2,X3,X4,X5,X6)
    | ~ q_12(X0,X1,X2,X3,X4,X5,X6)
    | q_10(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_21) ).

cnf(c_97,plain,
    ( ~ q_12(X0,X1,X2,X3,X4,X5,X6)
    | ~ p_13(X0,X1,X2,X3,X4,X5,X6)
    | q_11(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s3_type12_24) ).

cnf(c_103,plain,
    ( ~ nq_1(X0)
    | ~ nq_2(X1)
    | ~ nq_3(X2)
    | ~ nq_4(X3)
    | ~ nq_5(X4)
    | ~ nq_6(X5)
    | ~ nq_7(X6)
    | p_13(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_t3_2) ).

cnf(c_104,plain,
    ( ~ nq_1(X0)
    | ~ nq_2(X1)
    | ~ nq_3(X2)
    | ~ nq_4(X3)
    | ~ nq_5(X4)
    | ~ nq_6(X5)
    | ~ nq_7(X6)
    | q_12(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_t3_3) ).

cnf(c_105,plain,
    ( ~ nq_1(X0)
    | ~ nq_2(X1)
    | ~ nq_3(X2)
    | ~ nq_4(X3)
    | ~ nq_5(X4)
    | ~ nq_6(X5)
    | ~ nq_7(X6)
    | q_13(X0,X1,X2,X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_t3_4) ).

cnf(c_106,plain,
    nq_1(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_1) ).

cnf(c_108,plain,
    nq_2(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_3) ).

cnf(c_110,plain,
    nq_3(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_5) ).

cnf(c_112,plain,
    nq_4(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_7) ).

cnf(c_114,plain,
    nq_5(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_9) ).

cnf(c_116,plain,
    nq_6(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_11) ).

cnf(c_118,plain,
    nq_7(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_13) ).

cnf(c_124,plain,
    ( ~ q_12(a,a,a,a,a,a,a)
    | ~ p_13(a,a,a,a,a,a,a)
    | q_11(a,a,a,a,a,a,a) ),
    inference(instantiation,[status(thm)],[c_97]) ).

cnf(c_127,plain,
    ( ~ p_11(a,a,a,a,a,a,a)
    | ~ q_12(a,a,a,a,a,a,a)
    | q_10(a,a,a,a,a,a,a) ),
    inference(instantiation,[status(thm)],[c_94]) ).

cnf(c_128,plain,
    ( ~ q_10(a,a,a,a,a,a,a)
    | ~ p_11(a,a,a,a,a,a,a)
    | q_9(a,a,a,a,a,a,a) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_133,plain,
    ( ~ p_8(a,a,a,a,a,a,a)
    | ~ q_9(a,a,a,a,a,a,a)
    | q_7(a,a,a,a,a,a,a) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_134,plain,
    ( ~ q_7(a,a,a,a,a,a,a)
    | ~ p_8(a,a,a,a,a,a,a)
    | q_6(a,a,a,a,a,a,a) ),
    inference(instantiation,[status(thm)],[c_87]) ).

cnf(c_136,plain,
    ( ~ q_6(a,a,a,a,a,a,a)
    | ~ p_7(a,a,a,a,a,a,a)
    | q_5(a,a,a,a,a,a,a) ),
    inference(instantiation,[status(thm)],[c_85]) ).

cnf(c_139,plain,
    ( ~ p_5(a,a,a,a,a,a,a)
    | ~ q_6(a,a,a,a,a,a,a)
    | q_4(a,a,a,a,a,a,a) ),
    inference(instantiation,[status(thm)],[c_82]) ).

cnf(c_140,plain,
    ( ~ q_4(a,a,a,a,a,a,a)
    | ~ p_5(a,a,a,a,a,a,a)
    | q_3(a,a,a,a,a,a,a) ),
    inference(instantiation,[status(thm)],[c_81]) ).

cnf(c_143,plain,
    ( ~ p_3(a,a,a,a,a,a,a)
    | ~ q_4(a,a,a,a,a,a,a)
    | q_2(a,a,a,a,a,a,a) ),
    inference(instantiation,[status(thm)],[c_78]) ).

cnf(c_145,plain,
    ( ~ p_2(a,a,a,a,a,a,a)
    | ~ q_3(a,a,a,a,a,a,a)
    | q_1(a,a,a,a,a,a,a) ),
    inference(instantiation,[status(thm)],[c_76]) ).

cnf(c_146,plain,
    ( ~ p_2(a,a,a,a,a,a,a)
    | ~ q_1(a,a,a,a,a,a,a)
    | q_0(a,a,a,a,a,a,a) ),
    inference(instantiation,[status(thm)],[c_75]) ).

cnf(c_148,plain,
    ( ~ q_12(a,a,a,a,a,a,a)
    | ~ q_13(a,a,a,a,a,a,a)
    | p_11(a,a,a,a,a,a,a) ),
    inference(instantiation,[status(thm)],[c_73]) ).

cnf(c_152,plain,
    ( ~ q_10(a,a,a,a,a,a,a)
    | ~ q_11(a,a,a,a,a,a,a)
    | p_9(a,a,a,a,a,a,a) ),
    inference(instantiation,[status(thm)],[c_69]) ).

cnf(c_154,plain,
    ( ~ q_9(a,a,a,a,a,a,a)
    | ~ q_10(a,a,a,a,a,a,a)
    | p_8(a,a,a,a,a,a,a) ),
    inference(instantiation,[status(thm)],[c_67]) ).

cnf(c_157,plain,
    ( ~ p_8(a,a,a,a,a,a,a)
    | ~ p_9(a,a,a,a,a,a,a)
    | p_7(a,a,a,a,a,a,a) ),
    inference(instantiation,[status(thm)],[c_64]) ).

cnf(c_160,plain,
    ( ~ q_6(a,a,a,a,a,a,a)
    | ~ q_7(a,a,a,a,a,a,a)
    | p_5(a,a,a,a,a,a,a) ),
    inference(instantiation,[status(thm)],[c_61]) ).

cnf(c_164,plain,
    ( ~ q_4(a,a,a,a,a,a,a)
    | ~ q_5(a,a,a,a,a,a,a)
    | p_3(a,a,a,a,a,a,a) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_166,plain,
    ( ~ q_3(a,a,a,a,a,a,a)
    | ~ q_4(a,a,a,a,a,a,a)
    | p_2(a,a,a,a,a,a,a) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_170,plain,
    ( ~ q_1(a,a,a,a,a,a,a)
    | ~ q_2(a,a,a,a,a,a,a)
    | p_0(a,a,a,a,a,a,a) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_172,plain,
    ( ~ nq_1(a)
    | ~ nq_2(a)
    | ~ nq_3(a)
    | ~ nq_4(a)
    | ~ nq_5(a)
    | ~ nq_6(a)
    | ~ nq_7(a)
    | q_13(a,a,a,a,a,a,a) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_173,plain,
    ( ~ nq_1(a)
    | ~ nq_2(a)
    | ~ nq_3(a)
    | ~ nq_4(a)
    | ~ nq_5(a)
    | ~ nq_6(a)
    | ~ nq_7(a)
    | q_12(a,a,a,a,a,a,a) ),
    inference(instantiation,[status(thm)],[c_104]) ).

cnf(c_174,plain,
    ( ~ nq_1(a)
    | ~ nq_2(a)
    | ~ nq_3(a)
    | ~ nq_4(a)
    | ~ nq_5(a)
    | ~ nq_6(a)
    | ~ nq_7(a)
    | p_13(a,a,a,a,a,a,a) ),
    inference(instantiation,[status(thm)],[c_103]) ).

cnf(c_175,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_174,c_173,c_172,c_170,c_166,c_164,c_160,c_157,c_154,c_152,c_148,c_146,c_145,c_143,c_140,c_139,c_136,c_134,c_133,c_128,c_127,c_124,c_49,c_106,c_108,c_110,c_112,c_114,c_116,c_118]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN102-1.007.007 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.03/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 21:11:43 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.74/1.19  % SZS status Started for theBenchmark.p
% 0.74/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 0.74/1.19  
% 0.74/1.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.74/1.19  
% 0.74/1.19  ------  iProver source info
% 0.74/1.19  
% 0.74/1.19  git: date: 2024-05-02 19:28:25 +0000
% 0.74/1.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.74/1.19  git: non_committed_changes: false
% 0.74/1.19  
% 0.74/1.19  ------ Parsing...successful
% 0.74/1.19  
% 0.74/1.19  ------  preprocesses with Option_epr_horn
% 0.74/1.19  
% 0.74/1.19  
% 0.74/1.19  ------ Preprocessing...
% 0.74/1.19  
% 0.74/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 0.74/1.19  
% 0.74/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.74/1.19  
% 0.74/1.19  
%------------------------------------------------------------------------------