TSTP Solution File: SYN190-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN190-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 03:05:42 EDT 2023

% Result   : Unsatisfiable 3.81s 1.18s
% Output   : CNFRefutation 3.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   27
% Syntax   : Number of clauses     :   63 (  15 unt;   2 nHn;  61 RR)
%            Number of literals    :  150 (   0 equ;  91 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   24 (  23 usr;   5 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   52 (  19 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ r3(a,X0,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(c_50,plain,
    s0(d),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_1) ).

cnf(c_56,plain,
    n0(d,b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).

cnf(c_58,plain,
    r0(b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_9) ).

cnf(c_63,plain,
    p0(b,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).

cnf(c_66,plain,
    q0(X0,d),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).

cnf(c_69,plain,
    l0(a),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).

cnf(c_73,plain,
    l0(c),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_24) ).

cnf(c_77,plain,
    k0(e),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).

cnf(c_81,plain,
    k0(b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).

cnf(c_85,plain,
    q0(a,b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_36) ).

cnf(c_88,plain,
    ( ~ n0(X0,X1)
    | k1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).

cnf(c_89,plain,
    ( ~ n0(X0,X1)
    | l1(X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).

cnf(c_108,plain,
    ( ~ l0(X0)
    | ~ k0(X1)
    | m1(X0,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_021) ).

cnf(c_204,plain,
    ( ~ s0(d)
    | ~ k0(e)
    | q1(d,d,d) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_117) ).

cnf(c_207,plain,
    ( ~ r0(b)
    | q1(b,b,b) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_120) ).

cnf(c_211,plain,
    ( ~ q1(d,X0,d)
    | ~ q0(X1,X0)
    | ~ s0(d)
    | r1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_124) ).

cnf(c_212,plain,
    ( ~ p0(X0,X0)
    | s1(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).

cnf(c_213,plain,
    ( ~ q0(X0,X1)
    | ~ s1(X2)
    | s1(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_126) ).

cnf(c_214,plain,
    ( ~ m1(X0,X1,X2)
    | ~ k2(X3,X1)
    | ~ k1(X3)
    | k2(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_127) ).

cnf(c_216,plain,
    ( ~ q1(X0,X1,X1)
    | k2(X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_129) ).

cnf(c_222,plain,
    ( ~ l1(X0,X1)
    | ~ s0(X2)
    | m2(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_135) ).

cnf(c_275,plain,
    ( ~ l0(X0)
    | ~ r1(X0)
    | r2(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_188) ).

cnf(c_277,plain,
    ( ~ s0(d)
    | ~ s1(a)
    | s2(d) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_190) ).

cnf(c_318,plain,
    ( ~ k2(c,X0)
    | ~ r2(X1)
    | m3(X1,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_231) ).

cnf(c_351,plain,
    ( ~ s2(X0)
    | r3(X0,X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_264) ).

cnf(c_355,plain,
    ( ~ r3(X0,X1,X1)
    | ~ m3(X2,b,X3)
    | ~ m2(X0)
    | r3(X3,X3,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_268) ).

cnf(c_419,plain,
    p0(b,b),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_428,plain,
    ( ~ p0(b,b)
    | s1(b) ),
    inference(instantiation,[status(thm)],[c_212]) ).

cnf(c_457,plain,
    ( ~ q1(b,b,b)
    | k2(b,b) ),
    inference(instantiation,[status(thm)],[c_216]) ).

cnf(c_606,plain,
    ( ~ s1(a)
    | s2(d) ),
    inference(global_subsumption_just,[status(thm)],[c_277,c_50,c_277]) ).

cnf(c_690,plain,
    ( ~ q0(X1,X0)
    | ~ q1(d,X0,d)
    | r1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_50,c_211]) ).

cnf(c_691,plain,
    ( ~ q1(d,X0,d)
    | ~ q0(X1,X0)
    | r1(X1) ),
    inference(renaming,[status(thm)],[c_690]) ).

cnf(c_794,plain,
    ( m2(X0)
    | ~ s0(X0)
    | ~ sP47_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP47_iProver_split])],[c_222]) ).

cnf(c_795,plain,
    ( ~ l1(X0,X1)
    | ~ sP48_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP48_iProver_split])],[c_222]) ).

cnf(c_796,plain,
    ( sP47_iProver_split
    | sP48_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_222]) ).

cnf(c_800,plain,
    ( ~ s1(X0)
    | ~ sP51_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP51_iProver_split])],[c_213]) ).

cnf(c_801,plain,
    ( ~ q0(X0,X1)
    | s1(X0)
    | ~ sP52_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP52_iProver_split])],[c_213]) ).

cnf(c_802,plain,
    ( sP51_iProver_split
    | sP52_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_213]) ).

cnf(c_854,plain,
    ( ~ s1(b)
    | ~ sP51_iProver_split ),
    inference(instantiation,[status(thm)],[c_800]) ).

cnf(c_861,plain,
    ( ~ l1(b,b)
    | ~ sP48_iProver_split ),
    inference(instantiation,[status(thm)],[c_795]) ).

cnf(c_914,plain,
    ( ~ q1(d,d,d)
    | ~ q0(X0,d)
    | r1(X0) ),
    inference(instantiation,[status(thm)],[c_691]) ).

cnf(c_930,plain,
    ( ~ n0(d,b)
    | k1(b) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_940,plain,
    ( ~ n0(d,b)
    | l1(b,b) ),
    inference(instantiation,[status(thm)],[c_89]) ).

cnf(c_960,plain,
    ( ~ q0(a,X0)
    | ~ sP52_iProver_split
    | s1(a) ),
    inference(instantiation,[status(thm)],[c_801]) ).

cnf(c_961,plain,
    ( ~ q0(a,b)
    | ~ sP52_iProver_split
    | s1(a) ),
    inference(instantiation,[status(thm)],[c_960]) ).

cnf(c_1019,plain,
    ( ~ k0(X0)
    | ~ l0(c)
    | m1(c,X0,c) ),
    inference(instantiation,[status(thm)],[c_108]) ).

cnf(c_1020,plain,
    ( ~ l0(c)
    | ~ k0(b)
    | m1(c,b,c) ),
    inference(instantiation,[status(thm)],[c_1019]) ).

cnf(c_1417,plain,
    ( ~ q1(d,d,d)
    | ~ q0(a,d)
    | r1(a) ),
    inference(instantiation,[status(thm)],[c_914]) ).

cnf(c_1564,plain,
    ( ~ l0(a)
    | ~ r1(a)
    | r2(a) ),
    inference(instantiation,[status(thm)],[c_275]) ).

cnf(c_1566,plain,
    ( ~ r3(d,X0,X0)
    | ~ m3(X1,b,a)
    | ~ m2(d)
    | r3(a,a,d) ),
    inference(instantiation,[status(thm)],[c_355]) ).

cnf(c_1567,plain,
    ~ r3(a,a,d),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_1767,plain,
    ( ~ m1(X0,b,c)
    | ~ k2(X1,b)
    | ~ k1(X1)
    | k2(c,b) ),
    inference(instantiation,[status(thm)],[c_214]) ).

cnf(c_1818,plain,
    ( ~ s0(d)
    | ~ sP47_iProver_split
    | m2(d) ),
    inference(instantiation,[status(thm)],[c_794]) ).

cnf(c_1862,plain,
    q0(a,d),
    inference(instantiation,[status(thm)],[c_66]) ).

cnf(c_2028,plain,
    ( ~ k2(c,X0)
    | ~ r2(a)
    | m3(a,X0,a) ),
    inference(instantiation,[status(thm)],[c_318]) ).

cnf(c_2029,plain,
    ( ~ k2(c,b)
    | ~ r2(a)
    | m3(a,b,a) ),
    inference(instantiation,[status(thm)],[c_2028]) ).

cnf(c_2210,plain,
    ( ~ m1(c,b,c)
    | ~ k2(X0,b)
    | ~ k1(X0)
    | k2(c,b) ),
    inference(instantiation,[status(thm)],[c_1767]) ).

cnf(c_2212,plain,
    ( ~ m1(c,b,c)
    | ~ k2(b,b)
    | ~ k1(b)
    | k2(c,b) ),
    inference(instantiation,[status(thm)],[c_2210]) ).

cnf(c_2242,plain,
    ( ~ r3(d,X0,X0)
    | ~ m3(a,b,a)
    | ~ m2(d)
    | r3(a,a,d) ),
    inference(instantiation,[status(thm)],[c_1566]) ).

cnf(c_2683,plain,
    ( ~ r3(d,d,d)
    | ~ m3(a,b,a)
    | ~ m2(d)
    | r3(a,a,d) ),
    inference(instantiation,[status(thm)],[c_2242]) ).

cnf(c_2686,plain,
    ( ~ s2(d)
    | r3(d,d,d) ),
    inference(instantiation,[status(thm)],[c_351]) ).

cnf(c_2687,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_2686,c_2683,c_2212,c_2029,c_1862,c_1818,c_1567,c_1564,c_1417,c_1020,c_961,c_940,c_930,c_861,c_854,c_802,c_796,c_606,c_204,c_457,c_207,c_428,c_56,c_419,c_85,c_50,c_58,c_69,c_73,c_77,c_81]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN190-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n018.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sat Aug 26 18:58:45 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --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 v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.81/1.18  
% 3.81/1.18  ------  iProver source info
% 3.81/1.18  
% 3.81/1.18  git: date: 2023-05-31 18:12:56 +0000
% 3.81/1.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.81/1.18  git: non_committed_changes: false
% 3.81/1.18  git: last_make_outside_of_git: false
% 3.81/1.18  
% 3.81/1.18  ------ Parsing...successful
% 3.81/1.18  
% 3.81/1.18  ------  preprocesses with Option_epr_horn
% 3.81/1.18  
% 3.81/1.18  
% 3.81/1.18  ------ Preprocessing... sf_s  rm: 74 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.81/1.18  
% 3.81/1.18  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 3.81/1.18   gs_s  sp: 91 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                                 348
% 3.81/1.18  conjectures                             1
% 3.81/1.18  EPR                                     348
% 3.81/1.18  Horn                                    303
% 3.81/1.18  unary                                   51
% 3.81/1.18  binary                                  142
% 3.81/1.18  lits                                    857
% 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  ------ Schedule EPR non Horn non eq is on
% 3.81/1.18  
% 3.81/1.18  ------ no equalities: superposition off 
% 3.81/1.18  
% 3.81/1.18  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 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  
%------------------------------------------------------------------------------