TSTP Solution File: SYN564-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN564-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.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 03:08:49 EDT 2023

% Result   : Unsatisfiable 8.10s 1.74s
% Output   : CNFRefutation 8.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   56 (  13 unt;   0 nHn;  48 RR)
%            Number of literals    :  128 (   0 equ;  77 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :  111 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_50,negated_conjecture,
    p4(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_2) ).

cnf(c_51,negated_conjecture,
    p2(f5(f7(X0)),f5(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_3) ).

cnf(c_52,negated_conjecture,
    p4(f8(X0,X1),f6(X0,f7(X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_4) ).

cnf(c_54,negated_conjecture,
    ( ~ p4(X0,X1)
    | p2(f5(X0),f5(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).

cnf(c_57,negated_conjecture,
    ( ~ p4(X0,X1)
    | ~ p4(X0,X2)
    | p4(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_9) ).

cnf(c_58,negated_conjecture,
    p10(f5(X0),f3(f5(f6(X0,X1)),f5(X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_10) ).

cnf(c_59,negated_conjecture,
    ~ p10(f9(f5(c11),f5(c12)),f5(f8(c11,c12))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_11) ).

cnf(c_61,negated_conjecture,
    ( ~ p10(X0,f3(X1,X2))
    | p10(f9(X0,X2),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_13) ).

cnf(c_62,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X2,X3)
    | ~ p10(X0,X2)
    | p10(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_14) ).

cnf(c_63,negated_conjecture,
    ( ~ p4(X0,X1)
    | ~ p4(X2,X3)
    | p4(f8(X0,X2),f8(X1,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_15) ).

cnf(c_64,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X2,X3)
    | p2(f3(X0,X2),f3(X1,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_16) ).

cnf(c_67,plain,
    p4(c11,c11),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_73,plain,
    ( ~ p4(c11,c11)
    | p2(f5(c11),f5(c11)) ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_157,negated_conjecture,
    ( ~ p2(X0_14,X1_14)
    | ~ p2(X2_14,X3_14)
    | p2(f3(X0_14,X2_14),f3(X1_14,X3_14)) ),
    inference(subtyping,[status(esa)],[c_64]) ).

cnf(c_158,negated_conjecture,
    ( ~ p4(X0_13,X1_13)
    | ~ p4(X2_13,X3_13)
    | p4(f8(X0_13,X2_13),f8(X1_13,X3_13)) ),
    inference(subtyping,[status(esa)],[c_63]) ).

cnf(c_159,negated_conjecture,
    ( ~ p2(X0_14,X1_14)
    | ~ p2(X2_14,X3_14)
    | ~ p10(X0_14,X2_14)
    | p10(X1_14,X3_14) ),
    inference(subtyping,[status(esa)],[c_62]) ).

cnf(c_160,negated_conjecture,
    ( ~ p10(X0_14,f3(X1_14,X2_14))
    | p10(f9(X0_14,X2_14),X1_14) ),
    inference(subtyping,[status(esa)],[c_61]) ).

cnf(c_163,negated_conjecture,
    p10(f5(X0_13),f3(f5(f6(X0_13,X1_13)),f5(X1_13))),
    inference(subtyping,[status(esa)],[c_58]) ).

cnf(c_164,negated_conjecture,
    ( ~ p4(X0_13,X1_13)
    | ~ p4(X0_13,X2_13)
    | p4(X1_13,X2_13) ),
    inference(subtyping,[status(esa)],[c_57]) ).

cnf(c_167,negated_conjecture,
    ( ~ p4(X0_13,X1_13)
    | p2(f5(X0_13),f5(X1_13)) ),
    inference(subtyping,[status(esa)],[c_54]) ).

cnf(c_169,negated_conjecture,
    p4(f8(X0_13,X1_13),f6(X0_13,f7(X1_13))),
    inference(subtyping,[status(esa)],[c_52]) ).

cnf(c_170,negated_conjecture,
    p2(f5(f7(X0_13)),f5(X0_13)),
    inference(subtyping,[status(esa)],[c_51]) ).

cnf(c_171,negated_conjecture,
    p4(X0_13,X0_13),
    inference(subtyping,[status(esa)],[c_50]) ).

cnf(c_186,plain,
    ( ~ p10(f5(X0_13),f3(f5(f6(X0_13,X1_13)),f5(X1_13)))
    | ~ p2(f3(f5(f6(X0_13,X1_13)),f5(X1_13)),X0_14)
    | ~ p2(f5(X0_13),X1_14)
    | p10(X1_14,X0_14) ),
    inference(instantiation,[status(thm)],[c_159]) ).

cnf(c_188,plain,
    ( ~ p2(f3(f5(f6(X0_13,X1_13)),f5(X1_13)),X0_14)
    | ~ p2(f5(X0_13),X1_14)
    | p10(X1_14,X0_14) ),
    inference(global_subsumption_just,[status(thm)],[c_186,c_163,c_186]) ).

cnf(c_2226,plain,
    ( ~ p10(f5(X0_13),f3(X0_14,X1_14))
    | p10(f9(f5(X0_13),X1_14),X0_14) ),
    inference(instantiation,[status(thm)],[c_160]) ).

cnf(c_5304,plain,
    ( ~ p10(f5(c11),f3(f5(f8(c11,c12)),f5(c12)))
    | p10(f9(f5(c11),f5(c12)),f5(f8(c11,c12))) ),
    inference(instantiation,[status(thm)],[c_2226]) ).

cnf(c_5657,plain,
    ( ~ p10(f5(X0_13),f3(f5(f6(X0_13,X1_13)),f5(X1_13)))
    | ~ p2(f3(f5(f6(X0_13,X1_13)),f5(X1_13)),X0_14)
    | ~ p2(f5(X0_13),X1_14)
    | p10(X1_14,X0_14) ),
    inference(instantiation,[status(thm)],[c_159]) ).

cnf(c_5658,plain,
    ( ~ p2(f3(f5(f6(X0_13,X1_13)),f5(X1_13)),X0_14)
    | ~ p2(f5(X0_13),X1_14)
    | p10(X1_14,X0_14) ),
    inference(global_subsumption_just,[status(thm)],[c_5657,c_188]) ).

cnf(c_5665,plain,
    ( ~ p2(f3(f5(f6(X0_13,X1_13)),f5(X1_13)),X0_14)
    | ~ p2(f5(X0_13),f5(X2_13))
    | p10(f5(X2_13),X0_14) ),
    inference(instantiation,[status(thm)],[c_5658]) ).

cnf(c_5675,plain,
    ( ~ p2(f3(f5(f6(X0_13,X1_13)),f5(X1_13)),f3(X0_14,X1_14))
    | ~ p2(f5(X0_13),f5(X2_13))
    | p10(f5(X2_13),f3(X0_14,X1_14)) ),
    inference(instantiation,[status(thm)],[c_5665]) ).

cnf(c_5766,plain,
    ( ~ p2(f3(f5(f6(X0_13,X1_13)),f5(X1_13)),f3(f5(f8(c11,c12)),f5(c12)))
    | ~ p2(f5(X0_13),f5(c11))
    | p10(f5(c11),f3(f5(f8(c11,c12)),f5(c12))) ),
    inference(instantiation,[status(thm)],[c_5675]) ).

cnf(c_5768,plain,
    ( ~ p2(f5(X0_13),f5(c11))
    | ~ p2(f3(f5(f6(X0_13,X1_13)),f5(X1_13)),f3(f5(f8(c11,c12)),f5(c12))) ),
    inference(global_subsumption_just,[status(thm)],[c_5766,c_59,c_5304,c_5766]) ).

cnf(c_5769,plain,
    ( ~ p2(f3(f5(f6(X0_13,X1_13)),f5(X1_13)),f3(f5(f8(c11,c12)),f5(c12)))
    | ~ p2(f5(X0_13),f5(c11)) ),
    inference(renaming,[status(thm)],[c_5768]) ).

cnf(c_5913,plain,
    ( ~ p2(X0_14,f5(f8(c11,c12)))
    | ~ p2(X1_14,f5(c12))
    | p2(f3(X0_14,X1_14),f3(f5(f8(c11,c12)),f5(c12))) ),
    inference(instantiation,[status(thm)],[c_157]) ).

cnf(c_5945,plain,
    ( ~ p4(f6(X0_13,X1_13),f8(c11,c12))
    | p2(f5(f6(X0_13,X1_13)),f5(f8(c11,c12))) ),
    inference(instantiation,[status(thm)],[c_167]) ).

cnf(c_6072,plain,
    ( ~ p2(X0_14,f5(f8(c11,c12)))
    | ~ p2(f5(X0_13),f5(c12))
    | p2(f3(X0_14,f5(X0_13)),f3(f5(f8(c11,c12)),f5(c12))) ),
    inference(instantiation,[status(thm)],[c_5913]) ).

cnf(c_6130,plain,
    ( ~ p4(X0_13,f6(X1_13,X2_13))
    | ~ p4(X0_13,f8(c11,c12))
    | p4(f6(X1_13,X2_13),f8(c11,c12)) ),
    inference(instantiation,[status(thm)],[c_164]) ).

cnf(c_6335,plain,
    ( ~ p2(X0_14,f5(f8(c11,c12)))
    | ~ p2(f5(f7(c12)),f5(c12))
    | p2(f3(X0_14,f5(f7(c12))),f3(f5(f8(c11,c12)),f5(c12))) ),
    inference(instantiation,[status(thm)],[c_6072]) ).

cnf(c_6409,plain,
    ( ~ p4(f8(X0_13,X1_13),f6(X2_13,X3_13))
    | ~ p4(f8(X0_13,X1_13),f8(c11,c12))
    | p4(f6(X2_13,X3_13),f8(c11,c12)) ),
    inference(instantiation,[status(thm)],[c_6130]) ).

cnf(c_6671,plain,
    p2(f5(f7(c12)),f5(c12)),
    inference(instantiation,[status(thm)],[c_170]) ).

cnf(c_6801,plain,
    ( ~ p4(f8(X0_13,X1_13),f6(X0_13,f7(X1_13)))
    | ~ p4(f8(X0_13,X1_13),f8(c11,c12))
    | p4(f6(X0_13,f7(X1_13)),f8(c11,c12)) ),
    inference(instantiation,[status(thm)],[c_6409]) ).

cnf(c_6803,plain,
    ( ~ p4(f8(X0_13,X1_13),f8(c11,c12))
    | p4(f6(X0_13,f7(X1_13)),f8(c11,c12)) ),
    inference(global_subsumption_just,[status(thm)],[c_6801,c_169,c_6801]) ).

cnf(c_6814,plain,
    ( ~ p4(X0_13,c11)
    | ~ p4(X1_13,c12)
    | p4(f8(X0_13,X1_13),f8(c11,c12)) ),
    inference(instantiation,[status(thm)],[c_158]) ).

cnf(c_7237,plain,
    ( ~ p2(f5(X0_13),f5(f8(c11,c12)))
    | ~ p2(f5(f7(c12)),f5(c12))
    | p2(f3(f5(X0_13),f5(f7(c12))),f3(f5(f8(c11,c12)),f5(c12))) ),
    inference(instantiation,[status(thm)],[c_6335]) ).

cnf(c_7239,plain,
    ( ~ p2(f5(X0_13),f5(f8(c11,c12)))
    | p2(f3(f5(X0_13),f5(f7(c12))),f3(f5(f8(c11,c12)),f5(c12))) ),
    inference(global_subsumption_just,[status(thm)],[c_7237,c_6671,c_7237]) ).

cnf(c_7395,plain,
    ( ~ p4(f8(c11,c12),f8(c11,c12))
    | p4(f6(c11,f7(c12)),f8(c11,c12)) ),
    inference(instantiation,[status(thm)],[c_6803]) ).

cnf(c_7414,plain,
    ( ~ p4(X0_13,c11)
    | ~ p4(c12,c12)
    | p4(f8(X0_13,c12),f8(c11,c12)) ),
    inference(instantiation,[status(thm)],[c_6814]) ).

cnf(c_7415,plain,
    ( ~ p4(c11,c11)
    | ~ p4(c12,c12)
    | p4(f8(c11,c12),f8(c11,c12)) ),
    inference(instantiation,[status(thm)],[c_7414]) ).

cnf(c_7829,plain,
    p4(c12,c12),
    inference(instantiation,[status(thm)],[c_171]) ).

cnf(c_8177,plain,
    ( ~ p4(f6(c11,f7(c12)),f8(c11,c12))
    | p2(f5(f6(c11,f7(c12))),f5(f8(c11,c12))) ),
    inference(instantiation,[status(thm)],[c_5945]) ).

cnf(c_9650,plain,
    ( ~ p2(f5(f6(X0_13,f7(c12))),f5(f8(c11,c12)))
    | p2(f3(f5(f6(X0_13,f7(c12))),f5(f7(c12))),f3(f5(f8(c11,c12)),f5(c12))) ),
    inference(instantiation,[status(thm)],[c_7239]) ).

cnf(c_9651,plain,
    ( ~ p2(f5(f6(c11,f7(c12))),f5(f8(c11,c12)))
    | p2(f3(f5(f6(c11,f7(c12))),f5(f7(c12))),f3(f5(f8(c11,c12)),f5(c12))) ),
    inference(instantiation,[status(thm)],[c_9650]) ).

cnf(c_14478,plain,
    ( ~ p2(f3(f5(f6(X0_13,f7(c12))),f5(f7(c12))),f3(f5(f8(c11,c12)),f5(c12)))
    | ~ p2(f5(X0_13),f5(c11)) ),
    inference(instantiation,[status(thm)],[c_5769]) ).

cnf(c_14479,plain,
    ( ~ p2(f3(f5(f6(c11,f7(c12))),f5(f7(c12))),f3(f5(f8(c11,c12)),f5(c12)))
    | ~ p2(f5(c11),f5(c11)) ),
    inference(instantiation,[status(thm)],[c_14478]) ).

cnf(c_14480,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_14479,c_9651,c_8177,c_7829,c_7415,c_7395,c_73,c_67]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SYN564-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n002.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 : Sat Aug 26 19:13:03 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.22/0.48  Running first-order theorem proving
% 0.22/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.10/1.74  % SZS status Started for theBenchmark.p
% 8.10/1.74  % SZS status Unsatisfiable for theBenchmark.p
% 8.10/1.74  
% 8.10/1.74  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 8.10/1.74  
% 8.10/1.74  ------  iProver source info
% 8.10/1.74  
% 8.10/1.74  git: date: 2023-05-31 18:12:56 +0000
% 8.10/1.74  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 8.10/1.74  git: non_committed_changes: false
% 8.10/1.74  git: last_make_outside_of_git: false
% 8.10/1.74  
% 8.10/1.74  ------ Parsing...successful
% 8.10/1.74  
% 8.10/1.74  
% 8.10/1.74  
% 8.10/1.74  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 8.10/1.74  
% 8.10/1.74  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 8.10/1.74  ------ Proving...
% 8.10/1.74  ------ Problem Properties 
% 8.10/1.74  
% 8.10/1.74  
% 8.10/1.74  clauses                                 18
% 8.10/1.74  conjectures                             18
% 8.10/1.74  EPR                                     5
% 8.10/1.74  Horn                                    18
% 8.10/1.74  unary                                   7
% 8.10/1.74  binary                                  4
% 8.10/1.74  lits                                    37
% 8.10/1.74  lits eq                                 0
% 8.10/1.74  fd_pure                                 0
% 8.10/1.74  fd_pseudo                               0
% 8.10/1.74  fd_cond                                 0
% 8.10/1.74  fd_pseudo_cond                          0
% 8.10/1.74  AC symbols                              0
% 8.10/1.74  
% 8.10/1.74  ------ Input Options Time Limit: Unbounded
% 8.10/1.74  
% 8.10/1.74  
% 8.10/1.74  ------ 
% 8.10/1.74  Current options:
% 8.10/1.74  ------ 
% 8.10/1.74  
% 8.10/1.74  
% 8.10/1.74  
% 8.10/1.74  
% 8.10/1.74  ------ Proving...
% 8.10/1.74  
% 8.10/1.74  
% 8.10/1.74  % SZS status Unsatisfiable for theBenchmark.p
% 8.10/1.74  
% 8.10/1.74  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.10/1.74  
% 8.10/1.74  
%------------------------------------------------------------------------------