TSTP Solution File: SYN576-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN576-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n014.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 03:31:38 EDT 2024

% Result   : Unsatisfiable 3.81s 1.18s
% Output   : CNFRefutation 3.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   39 (  12 unt;   4 nHn;  31 RR)
%            Number of literals    :  103 (   0 equ;  61 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :   69 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    p8(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_1) ).

cnf(c_51,negated_conjecture,
    p4(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_3) ).

cnf(c_53,negated_conjecture,
    p12(c15,f6(c13)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_5) ).

cnf(c_54,negated_conjecture,
    p12(c16,f6(c13)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_6) ).

cnf(c_55,negated_conjecture,
    ( p11(X0,X1)
    | p11(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_7) ).

cnf(c_56,negated_conjecture,
    p2(f3(X0,X1),f3(X1,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).

cnf(c_57,negated_conjecture,
    ( ~ p4(X0,X1)
    | p5(f6(X0),f6(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_9) ).

cnf(c_64,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p5(X2,X3)
    | ~ p12(X0,X2)
    | p12(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_16) ).

cnf(c_65,negated_conjecture,
    ~ p12(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),f6(c13)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p12_17) ).

cnf(c_67,negated_conjecture,
    ( ~ p2(X0,X1)
    | ~ p2(X2,X3)
    | p2(f7(X0,X2),f7(X1,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_19) ).

cnf(c_68,negated_conjecture,
    ( ~ p8(X0,X1)
    | ~ p2(X2,X3)
    | ~ p4(X4,X5)
    | p2(f9(X4,X0,X2),f9(X5,X1,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_20) ).

cnf(c_70,negated_conjecture,
    ( ~ p11(f10(X0),f10(X1))
    | ~ p12(X0,f6(X2))
    | ~ p12(X1,f6(X2))
    | p12(f7(f9(X2,c14,f3(X0,X1)),f3(X0,X1)),f6(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_22) ).

cnf(c_72,plain,
    p4(c13,c13),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_78,plain,
    ( ~ p4(c13,c13)
    | p5(f6(c13),f6(c13)) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_187,negated_conjecture,
    ( ~ p11(f10(X0_13),f10(X1_13))
    | ~ p12(X0_13,f6(X0_15))
    | ~ p12(X1_13,f6(X0_15))
    | p12(f7(f9(X0_15,c14,f3(X0_13,X1_13)),f3(X0_13,X1_13)),f6(X0_15)) ),
    inference(subtyping,[status(esa)],[c_70]) ).

cnf(c_189,negated_conjecture,
    ( ~ p8(X0_16,X1_16)
    | ~ p2(X0_13,X1_13)
    | ~ p4(X0_15,X1_15)
    | p2(f9(X0_15,X0_16,X0_13),f9(X1_15,X1_16,X1_13)) ),
    inference(subtyping,[status(esa)],[c_68]) ).

cnf(c_190,negated_conjecture,
    ( ~ p2(X0_13,X1_13)
    | ~ p2(X2_13,X3_13)
    | p2(f7(X2_13,X0_13),f7(X3_13,X1_13)) ),
    inference(subtyping,[status(esa)],[c_67]) ).

cnf(c_193,negated_conjecture,
    ( ~ p2(X0_13,X1_13)
    | ~ p5(X0_14,X1_14)
    | ~ p12(X0_13,X0_14)
    | p12(X1_13,X1_14) ),
    inference(subtyping,[status(esa)],[c_64]) ).

cnf(c_201,negated_conjecture,
    p2(f3(X0_13,X1_13),f3(X1_13,X0_13)),
    inference(subtyping,[status(esa)],[c_56]) ).

cnf(c_202,negated_conjecture,
    ( p11(X0_13,X1_13)
    | p11(X1_13,X0_13) ),
    inference(subtyping,[status(esa)],[c_55]) ).

cnf(c_208,negated_conjecture,
    p8(X0_16,X0_16),
    inference(subtyping,[status(esa)],[c_49]) ).

cnf(c_211,plain,
    p8(c14,c14),
    inference(instantiation,[status(thm)],[c_208]) ).

cnf(c_221,plain,
    ( p11(f10(X0_13),f10(X1_13))
    | p11(f10(X1_13),f10(X0_13)) ),
    inference(instantiation,[status(thm)],[c_202]) ).

cnf(c_230,plain,
    ( ~ p11(f10(c15),f10(c16))
    | ~ p12(c15,f6(c13))
    | ~ p12(c16,f6(c13))
    | p12(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),f6(c13)) ),
    inference(instantiation,[status(thm)],[c_187]) ).

cnf(c_231,plain,
    ( ~ p12(f7(f9(X0_15,c14,f3(X0_13,X1_13)),f3(X0_13,X1_13)),f6(X0_15))
    | ~ p2(f7(f9(X0_15,c14,f3(X0_13,X1_13)),f3(X0_13,X1_13)),X2_13)
    | ~ p5(f6(X0_15),X0_14)
    | p12(X2_13,X0_14) ),
    inference(instantiation,[status(thm)],[c_193]) ).

cnf(c_248,plain,
    ( ~ p12(f7(f9(X0_15,c14,f3(X0_13,X1_13)),f3(X0_13,X1_13)),f6(X0_15))
    | ~ p2(f7(f9(X0_15,c14,f3(X0_13,X1_13)),f3(X0_13,X1_13)),X2_13)
    | ~ p5(f6(X0_15),f6(X1_15))
    | p12(X2_13,f6(X1_15)) ),
    inference(instantiation,[status(thm)],[c_231]) ).

cnf(c_264,plain,
    ( p11(f10(c15),f10(c16))
    | p11(f10(c16),f10(c15)) ),
    inference(instantiation,[status(thm)],[c_221]) ).

cnf(c_274,plain,
    ( ~ p2(f7(f9(X0_15,c14,f3(X0_13,X1_13)),f3(X0_13,X1_13)),f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)))
    | ~ p12(f7(f9(X0_15,c14,f3(X0_13,X1_13)),f3(X0_13,X1_13)),f6(X0_15))
    | ~ p5(f6(X0_15),f6(c13))
    | p12(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),f6(c13)) ),
    inference(instantiation,[status(thm)],[c_248]) ).

cnf(c_314,plain,
    ( ~ p2(f9(X0_15,c14,f3(X0_13,X1_13)),f9(c13,c14,f3(c15,c16)))
    | ~ p2(f3(X0_13,X1_13),f3(c15,c16))
    | p2(f7(f9(X0_15,c14,f3(X0_13,X1_13)),f3(X0_13,X1_13)),f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16))) ),
    inference(instantiation,[status(thm)],[c_190]) ).

cnf(c_384,plain,
    ( ~ p2(f9(X0_15,c14,f3(c16,c15)),f9(c13,c14,f3(c15,c16)))
    | ~ p2(f3(c16,c15),f3(c15,c16))
    | p2(f7(f9(X0_15,c14,f3(c16,c15)),f3(c16,c15)),f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16))) ),
    inference(instantiation,[status(thm)],[c_314]) ).

cnf(c_385,plain,
    ( ~ p2(f9(c13,c14,f3(c16,c15)),f9(c13,c14,f3(c15,c16)))
    | ~ p2(f3(c16,c15),f3(c15,c16))
    | p2(f7(f9(c13,c14,f3(c16,c15)),f3(c16,c15)),f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16))) ),
    inference(instantiation,[status(thm)],[c_384]) ).

cnf(c_508,plain,
    ( ~ p2(f3(c16,c15),f3(c15,c16))
    | ~ p4(X0_15,c13)
    | ~ p8(c14,c14)
    | p2(f9(X0_15,c14,f3(c16,c15)),f9(c13,c14,f3(c15,c16))) ),
    inference(instantiation,[status(thm)],[c_189]) ).

cnf(c_509,plain,
    ( ~ p2(f3(c16,c15),f3(c15,c16))
    | ~ p8(c14,c14)
    | ~ p4(c13,c13)
    | p2(f9(c13,c14,f3(c16,c15)),f9(c13,c14,f3(c15,c16))) ),
    inference(instantiation,[status(thm)],[c_508]) ).

cnf(c_611,plain,
    p2(f3(c16,c15),f3(c15,c16)),
    inference(instantiation,[status(thm)],[c_201]) ).

cnf(c_845,plain,
    ( ~ p2(f7(f9(X0_15,c14,f3(c16,c15)),f3(c16,c15)),f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)))
    | ~ p12(f7(f9(X0_15,c14,f3(c16,c15)),f3(c16,c15)),f6(X0_15))
    | ~ p5(f6(X0_15),f6(c13))
    | p12(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),f6(c13)) ),
    inference(instantiation,[status(thm)],[c_274]) ).

cnf(c_846,plain,
    ( ~ p2(f7(f9(c13,c14,f3(c16,c15)),f3(c16,c15)),f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)))
    | ~ p12(f7(f9(c13,c14,f3(c16,c15)),f3(c16,c15)),f6(c13))
    | ~ p5(f6(c13),f6(c13))
    | p12(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),f6(c13)) ),
    inference(instantiation,[status(thm)],[c_845]) ).

cnf(c_1190,plain,
    ( ~ p11(f10(c16),f10(c15))
    | ~ p12(c15,f6(X0_15))
    | ~ p12(c16,f6(X0_15))
    | p12(f7(f9(X0_15,c14,f3(c16,c15)),f3(c16,c15)),f6(X0_15)) ),
    inference(instantiation,[status(thm)],[c_187]) ).

cnf(c_1191,plain,
    ( ~ p11(f10(c16),f10(c15))
    | ~ p12(c15,f6(c13))
    | ~ p12(c16,f6(c13))
    | p12(f7(f9(c13,c14,f3(c16,c15)),f3(c16,c15)),f6(c13)) ),
    inference(instantiation,[status(thm)],[c_1190]) ).

cnf(c_1192,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1191,c_846,c_611,c_509,c_385,c_264,c_230,c_211,c_65,c_78,c_53,c_54,c_72]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SYN576-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n014.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 : Thu May  2 20:34:32 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  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
% 3.81/1.18  % SZS status Started for theBenchmark.p
% 3.81/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 3.81/1.18  
% 3.81/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.81/1.18  
% 3.81/1.18  ------  iProver source info
% 3.81/1.18  
% 3.81/1.18  git: date: 2024-05-02 19:28:25 +0000
% 3.81/1.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.81/1.18  git: non_committed_changes: false
% 3.81/1.18  
% 3.81/1.18  ------ Parsing...successful
% 3.81/1.18  
% 3.81/1.18  
% 3.81/1.18  
% 3.81/1.18  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.81/1.18  
% 3.81/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.81/1.18  ------ Proving...
% 3.81/1.18  ------ Problem Properties 
% 3.81/1.18  
% 3.81/1.18  
% 3.81/1.18  clauses                                 22
% 3.81/1.18  conjectures                             22
% 3.81/1.18  EPR                                     11
% 3.81/1.18  Horn                                    21
% 3.81/1.18  unary                                   8
% 3.81/1.18  binary                                  3
% 3.81/1.18  lits                                    52
% 3.81/1.18  lits eq                                 0
% 3.81/1.18  fd_pure                                 0
% 3.81/1.18  fd_pseudo                               0
% 3.81/1.18  fd_cond                                 0
% 3.81/1.18  fd_pseudo_cond                          0
% 3.81/1.18  AC symbols                              0
% 3.81/1.18  
% 3.81/1.18  ------ Input Options Time Limit: Unbounded
% 3.81/1.18  
% 3.81/1.18  
% 3.81/1.18  ------ 
% 3.81/1.18  Current options:
% 3.81/1.18  ------ 
% 3.81/1.18  
% 3.81/1.18  
% 3.81/1.18  
% 3.81/1.18  
% 3.81/1.18  ------ Proving...
% 3.81/1.18  
% 3.81/1.18  
% 3.81/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 3.81/1.18  
% 3.81/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.81/1.18  
% 3.81/1.18  
%------------------------------------------------------------------------------