TSTP Solution File: SYN155-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN155-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n020.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 03:05:33 EDT 2023

% Result   : Unsatisfiable 2.97s 1.18s
% Output   : CNFRefutation 2.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   33
% Syntax   : Number of clauses     :   76 (  18 unt;   4 nHn;  72 RR)
%            Number of literals    :  172 (   0 equ; 103 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   33 (  32 usr;  10 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   58 (  16 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ n4(X0,a),
    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_54,plain,
    s0(b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_5) ).

cnf(c_55,plain,
    q0(b,b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_6) ).

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_67,plain,
    p0(c,b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_18) ).

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

cnf(c_76,plain,
    m0(e,b,c),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_27) ).

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

cnf(c_79,plain,
    n0(e,e),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_30) ).

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

cnf(c_83,plain,
    n0(c,d),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_34) ).

cnf(c_90,plain,
    ( ~ m0(X0,X1,X2)
    | ~ p0(X2,X1)
    | ~ r0(X3)
    | l1(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_003) ).

cnf(c_119,plain,
    ( ~ s0(X0)
    | m1(X0,X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_032) ).

cnf(c_155,plain,
    ( ~ k0(X0)
    | p1(X0,X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_068) ).

cnf(c_200,plain,
    ( ~ m1(X0,X1,X1)
    | ~ r0(X2)
    | q1(X0,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_113) ).

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_252,plain,
    ( ~ q1(X0,X1,X0)
    | ~ p2(X0,X0,X1)
    | p2(X2,X2,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_165) ).

cnf(c_263,plain,
    ( ~ m1(X0,X1,X0)
    | p2(X1,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_176) ).

cnf(c_268,plain,
    ( ~ p1(X0,X0,X0)
    | q2(X0,X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_181) ).

cnf(c_273,plain,
    ( ~ l1(X0,X1)
    | q2(X1,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_186) ).

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

cnf(c_276,plain,
    ( ~ q2(b,X0,b)
    | ~ s1(b)
    | s2(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_189) ).

cnf(c_314,plain,
    ( ~ q0(X0,X1)
    | ~ s0(X2)
    | ~ r2(X3)
    | ~ s2(X1)
    | m3(X3,X3,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_227) ).

cnf(c_327,plain,
    ( ~ p2(X0,X1,X2)
    | n3(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_240) ).

cnf(c_342,plain,
    ( ~ q2(X0,X1,X2)
    | ~ n0(X0,X1)
    | q3(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_255) ).

cnf(c_361,plain,
    ( ~ n0(c,d)
    | ~ q3(e,b)
    | ~ n3(e)
    | k4(c) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_274) ).

cnf(c_371,plain,
    ( ~ m3(X0,X0,X0)
    | ~ k4(X1)
    | n4(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_284) ).

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_445,plain,
    ( ~ k0(b)
    | p1(b,b,b) ),
    inference(instantiation,[status(thm)],[c_155]) ).

cnf(c_447,plain,
    ( ~ s0(b)
    | m1(b,b,b) ),
    inference(instantiation,[status(thm)],[c_119]) ).

cnf(c_476,plain,
    ( ~ p1(b,b,b)
    | q2(b,b,b) ),
    inference(instantiation,[status(thm)],[c_268]) ).

cnf(c_477,plain,
    ( ~ m1(b,b,b)
    | p2(b,b,b) ),
    inference(instantiation,[status(thm)],[c_263]) ).

cnf(c_491,plain,
    ( ~ q2(b,b,b)
    | ~ s1(b)
    | s2(b) ),
    inference(instantiation,[status(thm)],[c_276]) ).

cnf(c_673,plain,
    ( ~ q3(e,b)
    | ~ n3(e)
    | k4(c) ),
    inference(global_subsumption_just,[status(thm)],[c_361,c_83,c_361]) ).

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_730,plain,
    ( ~ k4(X0)
    | ~ sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split])],[c_371]) ).

cnf(c_731,plain,
    ( ~ m3(X0,X0,X0)
    | n4(X0,X0)
    | ~ sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_split])],[c_371]) ).

cnf(c_732,plain,
    ( sP5_iProver_split
    | sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_371]) ).

cnf(c_750,plain,
    ( m3(X0,X0,X0)
    | ~ r2(X0)
    | ~ sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_split])],[c_314]) ).

cnf(c_751,plain,
    ( ~ s0(X0)
    | ~ sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_split])],[c_314]) ).

cnf(c_752,plain,
    ( ~ q0(X0,X1)
    | ~ s2(X1)
    | ~ sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_split])],[c_314]) ).

cnf(c_753,plain,
    ( sP18_iProver_split
    | sP19_iProver_split
    | sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_314]) ).

cnf(c_785,plain,
    ( p2(X0,X0,X0)
    | ~ sP41_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP41_iProver_split])],[c_252]) ).

cnf(c_786,plain,
    ( ~ p2(X0,X0,X1)
    | ~ q1(X0,X1,X0)
    | ~ sP42_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP42_iProver_split])],[c_252]) ).

cnf(c_787,plain,
    ( sP41_iProver_split
    | sP42_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_252]) ).

cnf(c_808,plain,
    ( ~ r0(X0)
    | ~ sP56_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP56_iProver_split])],[c_200]) ).

cnf(c_851,plain,
    ( ~ m0(X0,X1,X2)
    | l1(X1,X0)
    | ~ p0(X2,X1)
    | ~ sP82_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP82_iProver_split])],[c_90]) ).

cnf(c_852,plain,
    ( sP56_iProver_split
    | sP82_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_90]) ).

cnf(c_857,plain,
    ( ~ s0(b)
    | ~ sP19_iProver_split ),
    inference(instantiation,[status(thm)],[c_751]) ).

cnf(c_861,plain,
    ( ~ r0(b)
    | ~ sP56_iProver_split ),
    inference(instantiation,[status(thm)],[c_808]) ).

cnf(c_883,plain,
    ( ~ q0(b,b)
    | ~ s2(b)
    | ~ sP20_iProver_split ),
    inference(instantiation,[status(thm)],[c_752]) ).

cnf(c_911,plain,
    ( ~ q1(b,b,b)
    | ~ p2(b,b,b)
    | ~ sP42_iProver_split ),
    inference(instantiation,[status(thm)],[c_786]) ).

cnf(c_955,plain,
    ( ~ sP41_iProver_split
    | p2(e,e,e) ),
    inference(instantiation,[status(thm)],[c_785]) ).

cnf(c_990,plain,
    ( ~ q1(d,d,d)
    | ~ q0(X0,d)
    | r1(X0) ),
    inference(instantiation,[status(thm)],[c_691]) ).

cnf(c_1227,plain,
    ( ~ q2(e,e,X0)
    | ~ n0(e,e)
    | q3(e,X0) ),
    inference(instantiation,[status(thm)],[c_342]) ).

cnf(c_1228,plain,
    ( ~ q2(e,e,b)
    | ~ n0(e,e)
    | q3(e,b) ),
    inference(instantiation,[status(thm)],[c_1227]) ).

cnf(c_1246,plain,
    ( ~ m0(e,b,c)
    | ~ p0(c,b)
    | ~ sP82_iProver_split
    | l1(b,e) ),
    inference(instantiation,[status(thm)],[c_851]) ).

cnf(c_1458,plain,
    ( ~ l1(b,e)
    | q2(e,e,b) ),
    inference(instantiation,[status(thm)],[c_273]) ).

cnf(c_1589,plain,
    ( ~ l0(a)
    | ~ r1(a)
    | r2(a) ),
    inference(instantiation,[status(thm)],[c_275]) ).

cnf(c_1882,plain,
    ( ~ q1(d,d,d)
    | ~ q0(a,d)
    | r1(a) ),
    inference(instantiation,[status(thm)],[c_990]) ).

cnf(c_1897,plain,
    ( ~ p2(X0,X1,e)
    | n3(e) ),
    inference(instantiation,[status(thm)],[c_327]) ).

cnf(c_1902,plain,
    q0(a,d),
    inference(instantiation,[status(thm)],[c_66]) ).

cnf(c_2082,plain,
    ( ~ r2(a)
    | ~ sP18_iProver_split
    | m3(a,a,a) ),
    inference(instantiation,[status(thm)],[c_750]) ).

cnf(c_2411,plain,
    ( ~ p2(e,e,e)
    | n3(e) ),
    inference(instantiation,[status(thm)],[c_1897]) ).

cnf(c_3185,plain,
    ( ~ k4(c)
    | ~ sP5_iProver_split ),
    inference(instantiation,[status(thm)],[c_730]) ).

cnf(c_3456,plain,
    ( ~ m3(a,a,a)
    | ~ sP6_iProver_split
    | n4(a,a) ),
    inference(instantiation,[status(thm)],[c_731]) ).

cnf(c_3457,plain,
    ~ n4(a,a),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_3458,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_3457,c_3456,c_3185,c_2411,c_2082,c_1902,c_1882,c_1589,c_1458,c_1246,c_1228,c_955,c_911,c_883,c_861,c_857,c_753,c_852,c_787,c_732,c_673,c_204,c_491,c_477,c_476,c_447,c_445,c_207,c_428,c_76,c_55,c_419,c_67,c_79,c_50,c_54,c_58,c_69,c_77,c_81]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN155-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 20:05:44 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.97/1.18  % SZS status Started for theBenchmark.p
% 2.97/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 2.97/1.18  
% 2.97/1.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.97/1.18  
% 2.97/1.18  ------  iProver source info
% 2.97/1.18  
% 2.97/1.18  git: date: 2023-05-31 18:12:56 +0000
% 2.97/1.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.97/1.18  git: non_committed_changes: false
% 2.97/1.18  git: last_make_outside_of_git: false
% 2.97/1.18  
% 2.97/1.18  ------ Parsing...successful
% 2.97/1.18  
% 2.97/1.18  ------  preprocesses with Option_epr_horn
% 2.97/1.18  
% 2.97/1.18  
% 2.97/1.18  ------ Preprocessing... sf_s  rm: 60 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.97/1.18  
% 2.97/1.18  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 2.97/1.18   gs_s  sp: 96 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.97/1.18  ------ Proving...
% 2.97/1.18  ------ Problem Properties 
% 2.97/1.18  
% 2.97/1.18  
% 2.97/1.18  clauses                                 365
% 2.97/1.18  conjectures                             1
% 2.97/1.18  EPR                                     365
% 2.97/1.18  Horn                                    318
% 2.97/1.18  unary                                   51
% 2.97/1.18  binary                                  146
% 2.97/1.18  lits                                    909
% 2.97/1.18  lits eq                                 0
% 2.97/1.18  fd_pure                                 0
% 2.97/1.18  fd_pseudo                               0
% 2.97/1.18  fd_cond                                 0
% 2.97/1.18  fd_pseudo_cond                          0
% 2.97/1.18  AC symbols                              0
% 2.97/1.18  
% 2.97/1.18  ------ Schedule EPR non Horn non eq is on
% 2.97/1.18  
% 2.97/1.18  ------ no equalities: superposition off 
% 2.97/1.18  
% 2.97/1.18  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.97/1.18  
% 2.97/1.18  
% 2.97/1.18  ------ 
% 2.97/1.18  Current options:
% 2.97/1.18  ------ 
% 2.97/1.18  
% 2.97/1.18  
% 2.97/1.18  
% 2.97/1.18  
% 2.97/1.18  ------ Proving...
% 2.97/1.18  
% 2.97/1.18  
% 2.97/1.18  % SZS status Unsatisfiable for theBenchmark.p
% 2.97/1.18  
% 2.97/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.97/1.18  
% 2.97/1.19  
%------------------------------------------------------------------------------