TSTP Solution File: SYN036-4 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN036-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 03:04:46 EDT 2023

% Result   : Unsatisfiable 0.45s 1.13s
% Output   : CNFRefutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   84 (   1 unt;  44 nHn;  33 RR)
%            Number of literals    :  306 (   0 equ; 158 neg)
%            Maximal clause size   :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   8 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-1 aty)
%            Number of variables   :  132 (  84 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( ~ p(cx)
    | ~ q(cw)
    | p(X0)
    | q(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

cnf(c_50,negated_conjecture,
    ( ~ q(X0)
    | ~ p(cx)
    | p(X1)
    | q(cw) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

cnf(c_51,negated_conjecture,
    ( ~ p(X0)
    | ~ q(cw)
    | q(X1)
    | p(cx) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

cnf(c_52,negated_conjecture,
    ( ~ p(X0)
    | ~ q(X1)
    | p(cx)
    | q(cw) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).

cnf(c_53,negated_conjecture,
    ( ~ p(fy5(X0))
    | ~ p(X0)
    | ~ p(cx)
    | ~ q(cw)
    | q(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).

cnf(c_54,negated_conjecture,
    ( ~ p(fy5(X0))
    | ~ p(X0)
    | ~ q(X1)
    | ~ p(cx)
    | q(cw) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).

cnf(c_55,negated_conjecture,
    ( ~ q(fz5(X0))
    | ~ q(X0)
    | ~ p(cx)
    | ~ q(cw)
    | p(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).

cnf(c_57,negated_conjecture,
    ( ~ q(fz(X0))
    | ~ q(X0)
    | ~ p(cx)
    | p(X1)
    | q(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).

cnf(c_58,negated_conjecture,
    ( ~ p(cx)
    | q(fz(X0))
    | p(X1)
    | q(X0)
    | q(cw) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).

cnf(c_61,negated_conjecture,
    ( ~ p(fy5(X0))
    | ~ p(X1)
    | ~ q(X2)
    | p(X3)
    | q(cw) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).

cnf(c_62,negated_conjecture,
    ( ~ p(X0)
    | ~ q(X1)
    | p(fy5(X2))
    | p(X2)
    | q(cw) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).

cnf(c_63,negated_conjecture,
    ( ~ p(X0)
    | q(fz(X1))
    | q(X1)
    | p(cx)
    | q(cw) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).

cnf(c_64,negated_conjecture,
    ( ~ q(fz5(X0))
    | ~ p(X1)
    | ~ q(X0)
    | ~ q(cw)
    | p(cx) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).

cnf(c_67,negated_conjecture,
    ( ~ q(cw)
    | p(fy(X0))
    | p(X0)
    | q(X1)
    | p(cx) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19) ).

cnf(c_68,negated_conjecture,
    ( ~ q(X0)
    | p(fy(X1))
    | p(X1)
    | p(cx)
    | q(cw) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).

cnf(c_70,negated_conjecture,
    ( ~ p(fy(X0))
    | ~ p(X0)
    | ~ p(cx)
    | q(fz(X1))
    | q(X1)
    | q(cw) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_22) ).

cnf(c_71,negated_conjecture,
    ( ~ p(fy5(X0))
    | ~ q(fz5(X1))
    | ~ p(X0)
    | ~ q(X1)
    | ~ p(cx)
    | ~ q(cw) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).

cnf(c_78,negated_conjecture,
    ( ~ q(fz(X0))
    | ~ q(X0)
    | ~ q(cw)
    | p(fy(X1))
    | p(X1)
    | p(cx) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_30) ).

cnf(c_80,negated_conjecture,
    ( p(fy5(X0))
    | q(fz5(X1))
    | p(X0)
    | q(X1)
    | p(cx)
    | q(cw) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_32) ).

cnf(c_91,plain,
    ( p(X1)
    | p(fy(X1))
    | ~ q(X0)
    | q(cw) ),
    inference(global_subsumption_just,[status(thm)],[c_68,c_50,c_68]) ).

cnf(c_92,negated_conjecture,
    ( ~ q(X0)
    | p(fy(X1))
    | p(X1)
    | q(cw) ),
    inference(renaming,[status(thm)],[c_91]) ).

cnf(c_93,plain,
    ( p(fy(X0))
    | ~ q(cw)
    | q(X1)
    | p(cx) ),
    inference(global_subsumption_just,[status(thm)],[c_67,c_51,c_67]) ).

cnf(c_94,negated_conjecture,
    ( ~ q(cw)
    | p(fy(X0))
    | q(X1)
    | p(cx) ),
    inference(renaming,[status(thm)],[c_93]) ).

cnf(c_95,plain,
    ( q(fz(X1))
    | ~ p(X0)
    | p(cx)
    | q(cw) ),
    inference(global_subsumption_just,[status(thm)],[c_63,c_52,c_63]) ).

cnf(c_96,negated_conjecture,
    ( ~ p(X0)
    | q(fz(X1))
    | p(cx)
    | q(cw) ),
    inference(renaming,[status(thm)],[c_95]) ).

cnf(c_97,plain,
    ( p(X1)
    | q(fz(X0))
    | ~ p(cx)
    | q(cw) ),
    inference(global_subsumption_just,[status(thm)],[c_58,c_50,c_58]) ).

cnf(c_98,negated_conjecture,
    ( ~ p(cx)
    | q(fz(X0))
    | p(X1)
    | q(cw) ),
    inference(renaming,[status(thm)],[c_97]) ).

cnf(c_99,plain,
    ( ~ p(cx)
    | ~ q(X0)
    | ~ q(fz5(X0))
    | p(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_55,c_50,c_55]) ).

cnf(c_100,negated_conjecture,
    ( ~ q(fz5(X0))
    | ~ q(X0)
    | ~ p(cx)
    | p(X1) ),
    inference(renaming,[status(thm)],[c_99]) ).

cnf(c_101,plain,
    ( ~ q(X1)
    | ~ p(X0)
    | ~ p(fy5(X0))
    | q(cw) ),
    inference(global_subsumption_just,[status(thm)],[c_54,c_52,c_54]) ).

cnf(c_102,negated_conjecture,
    ( ~ p(fy5(X0))
    | ~ p(X0)
    | ~ q(X1)
    | q(cw) ),
    inference(renaming,[status(thm)],[c_101]) ).

cnf(c_103,negated_conjecture,
    ( ~ p(fy5(X0))
    | ~ p(cx)
    | ~ q(cw)
    | q(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_53,c_49,c_53]) ).

cnf(c_109,plain,
    ( ~ q(X0)
    | ~ q(fz(X0))
    | p(fy(X1))
    | p(X1)
    | p(cx) ),
    inference(global_subsumption_just,[status(thm)],[c_78,c_50,c_68,c_78]) ).

cnf(c_110,negated_conjecture,
    ( ~ q(fz(X0))
    | ~ q(X0)
    | p(fy(X1))
    | p(X1)
    | p(cx) ),
    inference(renaming,[status(thm)],[c_109]) ).

cnf(c_111,plain,
    ( ~ p(X0)
    | ~ p(fy(X0))
    | q(fz(X1))
    | q(X1)
    | q(cw) ),
    inference(global_subsumption_just,[status(thm)],[c_70,c_70,c_96]) ).

cnf(c_112,negated_conjecture,
    ( ~ p(fy(X0))
    | ~ p(X0)
    | q(fz(X1))
    | q(X1)
    | q(cw) ),
    inference(renaming,[status(thm)],[c_111]) ).

cnf(c_118,plain,
    ( ~ p(X0)
    | ~ q(fz5(X1))
    | ~ p(fy5(X0))
    | ~ p(cx)
    | ~ q(cw) ),
    inference(global_subsumption_just,[status(thm)],[c_71,c_49,c_53,c_71]) ).

cnf(c_119,negated_conjecture,
    ( ~ p(fy5(X0))
    | ~ q(fz5(X1))
    | ~ p(X0)
    | ~ p(cx)
    | ~ q(cw) ),
    inference(renaming,[status(thm)],[c_118]) ).

cnf(c_125,plain,
    ( ~ q(cw)
    | p(fy(X0))
    | q(X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_94,c_49]) ).

cnf(c_127,plain,
    ( ~ p(cx)
    | q(fz(X0))
    | p(X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_98,c_49]) ).

cnf(c_129,plain,
    ( ~ p(cx)
    | ~ q(cw)
    | q(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_103,c_49]) ).

cnf(c_144,plain,
    ( ~ q(X0)
    | ~ p(cx)
    | p(X1)
    | q(X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_57,c_127]) ).

cnf(c_150,plain,
    ( ~ p(X0)
    | ~ q(cw)
    | q(X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_51,c_129]) ).

cnf(c_153,plain,
    ( ~ p(fy5(X0))
    | ~ p(X0)
    | ~ p(cx)
    | ~ q(cw) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_119,c_129]) ).

cnf(c_159,plain,
    ( ~ q(cw)
    | q(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_125,c_150]) ).

cnf(c_161,plain,
    ( ~ p(X0)
    | q(fz(X1))
    | p(cx) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_96,c_150]) ).

cnf(c_163,plain,
    ( ~ p(fy(X0))
    | ~ p(X0)
    | q(fz(X1))
    | q(X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_112,c_150]) ).

cnf(c_166,plain,
    ( ~ p(X0)
    | ~ q(X1)
    | ~ q(cw)
    | p(cx) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_64,c_150]) ).

cnf(c_170,plain,
    ( ~ p(X0)
    | ~ q(cw)
    | p(cx) ),
    inference(global_subsumption_just,[status(thm)],[c_166,c_150,c_166]) ).

cnf(c_175,plain,
    ( p(fy5(X0))
    | q(fz5(X1))
    | p(X0)
    | q(X1)
    | p(cx) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_80,c_159]) ).

cnf(c_188,plain,
    ( ~ p(X0)
    | ~ q(X1)
    | p(cx) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_52,c_170]) ).

cnf(c_190,plain,
    ( ~ p(fy5(X0))
    | ~ p(X0)
    | ~ q(cw) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_153,c_170]) ).

cnf(c_196,plain,
    ( ~ q(fz(X0))
    | ~ q(X0)
    | p(X1)
    | p(cx) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_110,c_188]) ).

cnf(c_198,plain,
    ( ~ p(X0)
    | p(cx) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_161,c_188]) ).

cnf(c_207,plain,
    ( ~ q(fz(X0))
    | ~ q(X0)
    | p(cx) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_196,c_198]) ).

cnf(c_208,plain,
    ( q(fz5(X0))
    | p(X1)
    | q(X0)
    | p(cx) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_175,c_198]) ).

cnf(c_224,plain,
    ( ~ p(fy5(X0))
    | ~ p(X0)
    | ~ q(X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_102,c_190]) ).

cnf(c_235,plain,
    ( q(fz5(X0))
    | q(X0)
    | p(cx) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_208,c_198]) ).

cnf(c_236,plain,
    ( q(fz5(cw))
    | p(cx)
    | q(cw) ),
    inference(instantiation,[status(thm)],[c_235]) ).

cnf(c_262,plain,
    ( ~ q(fz5(X0))
    | ~ p(cx)
    | p(X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_100,c_144]) ).

cnf(c_283,plain,
    ( ~ p(X0)
    | ~ q(X1)
    | p(X2)
    | q(cw) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_62,c_61]) ).

cnf(c_294,plain,
    ( ~ q(X0)
    | p(X1)
    | q(cw) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_92,c_283]) ).

cnf(c_450,plain,
    ( p(X0)
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_294]) ).

cnf(c_451,plain,
    ( ~ q(X0)
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_294]) ).

cnf(c_452,plain,
    ( q(cw)
    | sP0_iProver_split
    | sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_294]) ).

cnf(c_453,plain,
    ( ~ q(fz5(X0))
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_262]) ).

cnf(c_454,plain,
    ( ~ p(cx)
    | sP0_iProver_split
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_262]) ).

cnf(c_455,plain,
    ( ~ p(X0)
    | ~ p(fy5(X0))
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_224]) ).

cnf(c_456,plain,
    ( sP1_iProver_split
    | sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_224]) ).

cnf(c_457,plain,
    ( q(X0)
    | q(fz(X0))
    | ~ sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_163]) ).

cnf(c_458,plain,
    ( ~ p(X0)
    | ~ p(fy(X0))
    | ~ sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split])],[c_163]) ).

cnf(c_459,plain,
    ( sP4_iProver_split
    | sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_163]) ).

cnf(c_462,plain,
    ( q(fz(X0))
    | ~ sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_split])],[c_127]) ).

cnf(c_463,plain,
    ( ~ p(cx)
    | sP0_iProver_split
    | sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_127]) ).

cnf(c_472,plain,
    ( ~ q(cw)
    | ~ sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_451]) ).

cnf(c_483,plain,
    ( ~ q(fz5(X0))
    | ~ sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_451]) ).

cnf(c_484,plain,
    ( ~ q(fz5(cw))
    | ~ sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_483]) ).

cnf(c_487,plain,
    ( ~ q(cw)
    | q(fz(X0)) ),
    inference(instantiation,[status(thm)],[c_159]) ).

cnf(c_494,plain,
    ( ~ p(fy(cx))
    | ~ p(cx)
    | ~ sP5_iProver_split ),
    inference(instantiation,[status(thm)],[c_458]) ).

cnf(c_496,plain,
    ( ~ q(cw)
    | q(fz5(X0)) ),
    inference(instantiation,[status(thm)],[c_159]) ).

cnf(c_510,plain,
    ( ~ q(fz(X0))
    | ~ sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_451]) ).

cnf(c_529,plain,
    ( ~ sP0_iProver_split
    | p(fy(cx)) ),
    inference(instantiation,[status(thm)],[c_450]) ).

cnf(c_530,plain,
    ( ~ sP0_iProver_split
    | p(fy5(X0)) ),
    inference(instantiation,[status(thm)],[c_450]) ).

cnf(c_542,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_530,c_529,c_510,c_496,c_494,c_487,c_484,c_483,c_455,c_457,c_453,c_463,c_462,c_454,c_472,c_451,c_452,c_450,c_459,c_456,c_236,c_235,c_207,c_159]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SYN036-4 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n009.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 : Sat Aug 26 20:01:35 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  Running first-order theorem proving
% 0.18/0.45  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.45/1.13  % SZS status Started for theBenchmark.p
% 0.45/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 0.45/1.13  
% 0.45/1.13  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.45/1.13  
% 0.45/1.13  ------  iProver source info
% 0.45/1.13  
% 0.45/1.13  git: date: 2023-05-31 18:12:56 +0000
% 0.45/1.13  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.45/1.13  git: non_committed_changes: false
% 0.45/1.13  git: last_make_outside_of_git: false
% 0.45/1.13  
% 0.45/1.13  ------ Parsing...successful
% 0.45/1.13  
% 0.45/1.13  
% 0.45/1.13  
% 0.45/1.13  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.45/1.13  
% 0.45/1.13  ------ Preprocessing... gs_s  sp: 25 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.45/1.13  ------ Proving...
% 0.45/1.13  ------ Problem Properties 
% 0.45/1.13  
% 0.45/1.13  
% 0.45/1.13  clauses                                 25
% 0.45/1.13  conjectures                             6
% 0.45/1.13  EPR                                     15
% 0.45/1.13  Horn                                    13
% 0.45/1.13  unary                                   0
% 0.45/1.13  binary                                  10
% 0.45/1.13  lits                                    69
% 0.45/1.13  lits eq                                 0
% 0.45/1.13  fd_pure                                 0
% 0.45/1.13  fd_pseudo                               0
% 0.45/1.13  fd_cond                                 0
% 0.45/1.13  fd_pseudo_cond                          0
% 0.45/1.13  AC symbols                              0
% 0.45/1.13  
% 0.45/1.13  ------ Schedule dynamic 5 is on 
% 0.45/1.13  
% 0.45/1.13  ------ no equalities: superposition off 
% 0.45/1.13  
% 0.45/1.13  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.45/1.13  
% 0.45/1.13  
% 0.45/1.13  ------ 
% 0.45/1.13  Current options:
% 0.45/1.13  ------ 
% 0.45/1.13  
% 0.45/1.13  
% 0.45/1.13  
% 0.45/1.13  
% 0.45/1.13  ------ Proving...
% 0.45/1.13  
% 0.45/1.13  
% 0.45/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 0.45/1.13  
% 0.45/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.45/1.13  
% 0.45/1.13  
%------------------------------------------------------------------------------