TSTP Solution File: SYN656-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN656-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 03:09:15 EDT 2023

% Result   : Unsatisfiable 3.95s 1.12s
% Output   : CNFRefutation 3.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   44 (  15 unt;   3 nHn;  33 RR)
%            Number of literals    :  102 (   0 equ;  56 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   76 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    p11(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_1) ).

cnf(c_53,negated_conjecture,
    p4(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).

cnf(c_61,negated_conjecture,
    p12(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_13) ).

cnf(c_70,negated_conjecture,
    ( ~ p3(X0,X1)
    | ~ p3(X0,X2)
    | p3(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_22) ).

cnf(c_79,negated_conjecture,
    p25(f5(c29,f13(c31,f15(c32,X0))),f13(c31,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_31) ).

cnf(c_81,negated_conjecture,
    ( ~ p25(f5(X0,X1),X2)
    | p25(f5(f7(c28,X0),X1),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_33) ).

cnf(c_83,negated_conjecture,
    ( ~ p4(X0,X1)
    | ~ p3(X2,X3)
    | ~ p25(X0,X2)
    | p25(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_35) ).

cnf(c_90,negated_conjecture,
    ( ~ p11(X0,X1)
    | ~ p12(X2,X3)
    | p3(f13(X0,X2),f13(X1,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_42) ).

cnf(c_93,negated_conjecture,
    ~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p25_45) ).

cnf(c_94,negated_conjecture,
    ( ~ p25(f5(f7(c28,X0),X1),X2)
    | ~ p25(f5(X0,X3),X1)
    | p25(f5(f7(c28,X0),X3),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_46) ).

cnf(c_97,negated_conjecture,
    ( p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X0))),f13(c31,c34))
    | p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_49) ).

cnf(c_518,negated_conjecture,
    ( p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X0_18))),f13(c31,c34))
    | p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0_18))) ),
    inference(subtyping,[status(esa)],[c_97]) ).

cnf(c_521,negated_conjecture,
    ( ~ p25(f5(f7(c28,X0_15),X0_14),X1_14)
    | ~ p25(f5(X0_15,X2_14),X0_14)
    | p25(f5(f7(c28,X0_15),X2_14),X1_14) ),
    inference(subtyping,[status(esa)],[c_94]) ).

cnf(c_525,negated_conjecture,
    ( ~ p11(X0_17,X1_17)
    | ~ p12(X0_18,X1_18)
    | p3(f13(X0_17,X0_18),f13(X1_17,X1_18)) ),
    inference(subtyping,[status(esa)],[c_90]) ).

cnf(c_531,negated_conjecture,
    ( ~ p4(X0_13,X1_13)
    | ~ p3(X0_14,X1_14)
    | ~ p25(X0_13,X0_14)
    | p25(X1_13,X1_14) ),
    inference(subtyping,[status(esa)],[c_83]) ).

cnf(c_532,negated_conjecture,
    ( ~ p25(f5(X0_15,X0_14),X1_14)
    | p25(f5(f7(c28,X0_15),X0_14),X1_14) ),
    inference(subtyping,[status(esa)],[c_81]) ).

cnf(c_533,negated_conjecture,
    p25(f5(c29,f13(c31,f15(c32,X0_18))),f13(c31,X0_18)),
    inference(subtyping,[status(esa)],[c_79]) ).

cnf(c_541,negated_conjecture,
    ( ~ p3(X0_14,X1_14)
    | ~ p3(X0_14,X2_14)
    | p3(X1_14,X2_14) ),
    inference(subtyping,[status(esa)],[c_70]) ).

cnf(c_546,negated_conjecture,
    p12(X0_18,X0_18),
    inference(subtyping,[status(esa)],[c_61]) ).

cnf(c_554,negated_conjecture,
    p4(X0_13,X0_13),
    inference(subtyping,[status(esa)],[c_53]) ).

cnf(c_556,negated_conjecture,
    p11(X0_17,X0_17),
    inference(subtyping,[status(esa)],[c_49]) ).

cnf(c_557,plain,
    p12(c34,c34),
    inference(instantiation,[status(thm)],[c_546]) ).

cnf(c_566,plain,
    p11(c31,c31),
    inference(instantiation,[status(thm)],[c_556]) ).

cnf(c_572,plain,
    ( ~ p11(c31,c31)
    | ~ p12(c34,c34)
    | p3(f13(c31,c34),f13(c31,c34)) ),
    inference(instantiation,[status(thm)],[c_525]) ).

cnf(c_579,plain,
    ( ~ p25(f5(c29,f13(c31,f15(c32,X0_18))),f13(c31,X0_18))
    | p25(f5(f7(c28,c29),f13(c31,f15(c32,X0_18))),f13(c31,X0_18)) ),
    inference(instantiation,[status(thm)],[c_532]) ).

cnf(c_581,plain,
    ( ~ p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X0_18))),f13(c31,c34))
    | ~ p25(f5(c29,X0_14),f13(c31,f15(f17(c33,c34),X0_18)))
    | p25(f5(f7(c28,c29),X0_14),f13(c31,c34)) ),
    inference(instantiation,[status(thm)],[c_521]) ).

cnf(c_599,plain,
    ( ~ p25(f5(f7(c28,c29),f13(c31,f15(c32,X0_18))),f13(c31,X0_18))
    | ~ p4(f5(f7(c28,c29),f13(c31,f15(c32,X0_18))),X0_13)
    | ~ p3(f13(c31,X0_18),X0_14)
    | p25(X0_13,X0_14) ),
    inference(instantiation,[status(thm)],[c_531]) ).

cnf(c_611,plain,
    ( ~ p25(f5(c29,f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,f15(f17(c33,c34),X0_18)))
    | ~ p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X0_18))),f13(c31,c34))
    | p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)) ),
    inference(instantiation,[status(thm)],[c_581]) ).

cnf(c_626,plain,
    ( ~ p3(X0_14,f13(c31,X0_18))
    | ~ p3(X0_14,X1_14)
    | p3(f13(c31,X0_18),X1_14) ),
    inference(instantiation,[status(thm)],[c_541]) ).

cnf(c_632,plain,
    ( ~ p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0_18)))
    | ~ p3(f13(c31,c34),X0_14)
    | p3(f13(c31,f15(f17(c33,c34),X0_18)),X0_14) ),
    inference(instantiation,[status(thm)],[c_626]) ).

cnf(c_647,plain,
    ( ~ p4(f5(f7(c28,c29),f13(c31,f15(c32,X0_18))),f5(X0_15,X0_14))
    | ~ p25(f5(f7(c28,c29),f13(c31,f15(c32,X0_18))),f13(c31,X0_18))
    | ~ p3(f13(c31,X0_18),X1_14)
    | p25(f5(X0_15,X0_14),X1_14) ),
    inference(instantiation,[status(thm)],[c_599]) ).

cnf(c_669,plain,
    ( ~ p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0_18)))
    | ~ p3(f13(c31,c34),f13(X0_17,X1_18))
    | p3(f13(c31,f15(f17(c33,c34),X0_18)),f13(X0_17,X1_18)) ),
    inference(instantiation,[status(thm)],[c_632]) ).

cnf(c_711,plain,
    ( ~ p4(f5(f7(c28,c29),f13(c31,f15(c32,X0_18))),f5(X0_15,X0_14))
    | ~ p25(f5(f7(c28,c29),f13(c31,f15(c32,X0_18))),f13(c31,X0_18))
    | ~ p3(f13(c31,X0_18),f13(X0_17,X1_18))
    | p25(f5(X0_15,X0_14),f13(X0_17,X1_18)) ),
    inference(instantiation,[status(thm)],[c_647]) ).

cnf(c_780,plain,
    ( ~ p25(f5(c29,f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,f15(f17(c33,c34),c35)))
    | ~ p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),c35))),f13(c31,c34))
    | p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)) ),
    inference(instantiation,[status(thm)],[c_611]) ).

cnf(c_855,plain,
    ( ~ p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0_18)))
    | ~ p3(f13(c31,c34),f13(c31,X1_18))
    | p3(f13(c31,f15(f17(c33,c34),X0_18)),f13(c31,X1_18)) ),
    inference(instantiation,[status(thm)],[c_669]) ).

cnf(c_912,plain,
    ( ~ p4(f5(f7(c28,c29),f13(c31,f15(c32,X0_18))),f5(f7(c28,c29),f13(c31,f15(c32,X0_18))))
    | ~ p25(f5(f7(c28,c29),f13(c31,f15(c32,X0_18))),f13(c31,X0_18))
    | ~ p3(f13(c31,X0_18),f13(X0_17,X1_18))
    | p25(f5(f7(c28,c29),f13(c31,f15(c32,X0_18))),f13(X0_17,X1_18)) ),
    inference(instantiation,[status(thm)],[c_711]) ).

cnf(c_1210,plain,
    ( ~ p4(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))))
    | ~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,f15(f17(c33,c34),c35)))
    | ~ p3(f13(c31,f15(f17(c33,c34),c35)),f13(c31,c34))
    | p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)) ),
    inference(instantiation,[status(thm)],[c_912]) ).

cnf(c_1245,plain,
    ( p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),c35))),f13(c31,c34))
    | p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),c35))) ),
    inference(instantiation,[status(thm)],[c_518]) ).

cnf(c_1294,plain,
    p25(f5(c29,f13(c31,f15(c32,f15(f17(c33,c34),X0_18)))),f13(c31,f15(f17(c33,c34),X0_18))),
    inference(instantiation,[status(thm)],[c_533]) ).

cnf(c_1407,plain,
    p4(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35))))),
    inference(instantiation,[status(thm)],[c_554]) ).

cnf(c_1456,plain,
    p25(f5(c29,f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,f15(f17(c33,c34),c35))),
    inference(instantiation,[status(thm)],[c_1294]) ).

cnf(c_2307,plain,
    ( ~ p25(f5(c29,f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,f15(f17(c33,c34),c35)))
    | p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,f15(f17(c33,c34),c35))) ),
    inference(instantiation,[status(thm)],[c_579]) ).

cnf(c_3605,plain,
    ( ~ p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),c35)))
    | ~ p3(f13(c31,c34),f13(c31,c34))
    | p3(f13(c31,f15(f17(c33,c34),c35)),f13(c31,c34)) ),
    inference(instantiation,[status(thm)],[c_855]) ).

cnf(c_3606,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_3605,c_2307,c_1456,c_1407,c_1245,c_1210,c_780,c_572,c_566,c_557,c_93]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN656-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n022.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 17:25:40 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  Running first-order theorem proving
% 0.18/0.44  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.95/1.12  % SZS status Started for theBenchmark.p
% 3.95/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 3.95/1.12  
% 3.95/1.12  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.95/1.12  
% 3.95/1.12  ------  iProver source info
% 3.95/1.12  
% 3.95/1.12  git: date: 2023-05-31 18:12:56 +0000
% 3.95/1.12  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.95/1.12  git: non_committed_changes: false
% 3.95/1.12  git: last_make_outside_of_git: false
% 3.95/1.12  
% 3.95/1.12  ------ Parsing...successful
% 3.95/1.12  
% 3.95/1.12  
% 3.95/1.12  
% 3.95/1.12  ------ Preprocessing... sf_s  rm: 9 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.95/1.12  
% 3.95/1.12  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.95/1.12  ------ Proving...
% 3.95/1.12  ------ Problem Properties 
% 3.95/1.12  
% 3.95/1.12  
% 3.95/1.12  clauses                                 39
% 3.95/1.12  conjectures                             39
% 3.95/1.12  EPR                                     23
% 3.95/1.12  Horn                                    36
% 3.95/1.12  unary                                   14
% 3.95/1.12  binary                                  2
% 3.95/1.12  lits                                    88
% 3.95/1.12  lits eq                                 0
% 3.95/1.12  fd_pure                                 0
% 3.95/1.12  fd_pseudo                               0
% 3.95/1.12  fd_cond                                 0
% 3.95/1.12  fd_pseudo_cond                          0
% 3.95/1.12  AC symbols                              0
% 3.95/1.12  
% 3.95/1.12  ------ Input Options Time Limit: Unbounded
% 3.95/1.12  
% 3.95/1.12  
% 3.95/1.12  ------ 
% 3.95/1.12  Current options:
% 3.95/1.12  ------ 
% 3.95/1.12  
% 3.95/1.12  
% 3.95/1.12  
% 3.95/1.12  
% 3.95/1.12  ------ Proving...
% 3.95/1.12  
% 3.95/1.12  
% 3.95/1.12  % SZS status Unsatisfiable for theBenchmark.p
% 3.95/1.12  
% 3.95/1.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.95/1.12  
% 3.95/1.13  
%------------------------------------------------------------------------------