TSTP Solution File: SYN170-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN170-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n007.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 03:29:31 EDT 2024

% Result   : Unsatisfiable 3.64s 1.20s
% Output   : CNFRefutation 3.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   55 (  12 unt;   3 nHn;  53 RR)
%            Number of literals    :  122 (   0 equ;  73 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   25 (  24 usr;   7 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   55 (  21 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ p4(X0,c,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

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

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

cnf(c_68,plain,
    m0(X0,d,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).

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

cnf(c_78,plain,
    q0(d,b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_29) ).

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

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

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

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_220,plain,
    ( ~ m0(X0,X1,X2)
    | ~ p0(X3,X3)
    | ~ s1(X1)
    | l2(X2,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_133) ).

cnf(c_224,plain,
    ( ~ p1(X0,X1,X2)
    | n2(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).

cnf(c_270,plain,
    ( ~ l2(X0,X1)
    | ~ k1(X0)
    | ~ l0(c)
    | q2(X1,c,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_183) ).

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_331,plain,
    ( ~ n2(X0)
    | p3(X0,X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_244) ).

cnf(c_345,plain,
    ( ~ l2(X0,X0)
    | ~ s1(X1)
    | ~ r2(X2)
    | q3(X2,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_258) ).

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

cnf(c_375,plain,
    ( ~ p4(X0,X0,X1)
    | ~ r3(X2,X2,X3)
    | p4(X3,X2,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_288) ).

cnf(c_378,plain,
    ( ~ p3(X0,X0,X1)
    | p4(X1,X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_291) ).

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

cnf(c_420,plain,
    m0(b,d,b),
    inference(instantiation,[status(thm)],[c_68]) ).

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

cnf(c_437,plain,
    ( ~ n2(b)
    | p3(b,b,b) ),
    inference(instantiation,[status(thm)],[c_331]) ).

cnf(c_443,plain,
    ( ~ p1(b,b,b)
    | n2(b) ),
    inference(instantiation,[status(thm)],[c_224]) ).

cnf(c_445,plain,
    ( ~ k0(b)
    | p1(b,b,b) ),
    inference(instantiation,[status(thm)],[c_155]) ).

cnf(c_469,plain,
    ( ~ p3(b,b,b)
    | p4(b,b,b) ),
    inference(instantiation,[status(thm)],[c_378]) ).

cnf(c_622,plain,
    ( ~ q2(b,X0,b)
    | s2(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_276,c_419,c_428,c_276]) ).

cnf(c_687,plain,
    ( ~ k1(X0)
    | ~ l2(X0,X1)
    | q2(X1,c,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_270,c_73,c_270]) ).

cnf(c_688,plain,
    ( ~ l2(X0,X1)
    | ~ k1(X0)
    | q2(X1,c,X0) ),
    inference(renaming,[status(thm)],[c_687]) ).

cnf(c_689,plain,
    ( ~ l2(b,b)
    | ~ k1(b)
    | q2(b,c,b) ),
    inference(instantiation,[status(thm)],[c_688]) ).

cnf(c_733,plain,
    ( ~ r3(X0,X0,X1)
    | p4(X1,X0,X0)
    | ~ sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_def])],[c_375]) ).

cnf(c_734,plain,
    ( ~ p4(X0,X0,X1)
    | ~ sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_def])],[c_375]) ).

cnf(c_735,plain,
    ( sP7_iProver_def
    | sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_375]) ).

cnf(c_747,plain,
    ( ~ s1(X0)
    | ~ sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_def])],[c_345]) ).

cnf(c_812,plain,
    ( ~ p0(X0,X0)
    | ~ sP59_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP59_iProver_def])],[c_220]) ).

cnf(c_813,plain,
    ( ~ m0(X0,X1,X2)
    | l2(X2,X2)
    | ~ s1(X1)
    | ~ sP60_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP60_iProver_def])],[c_220]) ).

cnf(c_814,plain,
    ( sP59_iProver_def
    | sP60_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_220]) ).

cnf(c_815,plain,
    ( ~ q0(X0,X1)
    | s1(X0)
    | ~ sP61_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP61_iProver_def])],[c_213]) ).

cnf(c_816,plain,
    ( sP16_iProver_def
    | sP61_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_213]) ).

cnf(c_862,negated_conjecture,
    ~ p4(X0,c,X1),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_865,plain,
    ( ~ s1(b)
    | ~ sP16_iProver_def ),
    inference(instantiation,[status(thm)],[c_747]) ).

cnf(c_879,plain,
    ( ~ p0(b,b)
    | ~ sP59_iProver_def ),
    inference(instantiation,[status(thm)],[c_812]) ).

cnf(c_882,plain,
    ( ~ p4(b,b,b)
    | ~ sP8_iProver_def ),
    inference(instantiation,[status(thm)],[c_734]) ).

cnf(c_939,plain,
    ~ p4(c,c,c),
    inference(instantiation,[status(thm)],[c_862]) ).

cnf(c_946,plain,
    ( ~ r3(c,c,X0)
    | ~ sP7_iProver_def
    | p4(X0,c,c) ),
    inference(instantiation,[status(thm)],[c_733]) ).

cnf(c_964,plain,
    ( ~ n0(d,b)
    | k1(b) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_992,plain,
    ( ~ q0(d,X0)
    | ~ sP61_iProver_def
    | s1(d) ),
    inference(instantiation,[status(thm)],[c_815]) ).

cnf(c_993,plain,
    ( ~ q0(d,b)
    | ~ sP61_iProver_def
    | s1(d) ),
    inference(instantiation,[status(thm)],[c_992]) ).

cnf(c_1189,plain,
    ( ~ m0(X0,d,X1)
    | ~ s1(d)
    | ~ sP60_iProver_def
    | l2(X1,X1) ),
    inference(instantiation,[status(thm)],[c_813]) ).

cnf(c_1190,plain,
    ( ~ m0(b,d,b)
    | ~ s1(d)
    | ~ sP60_iProver_def
    | l2(b,b) ),
    inference(instantiation,[status(thm)],[c_1189]) ).

cnf(c_1386,plain,
    ( ~ r3(c,c,c)
    | ~ sP7_iProver_def
    | p4(c,c,c) ),
    inference(instantiation,[status(thm)],[c_946]) ).

cnf(c_1390,plain,
    ( ~ s2(c)
    | r3(c,c,c) ),
    inference(instantiation,[status(thm)],[c_351]) ).

cnf(c_1415,plain,
    ( ~ q2(b,c,b)
    | s2(c) ),
    inference(instantiation,[status(thm)],[c_622]) ).

cnf(c_1416,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1415,c_1390,c_1386,c_1190,c_993,c_964,c_939,c_882,c_879,c_865,c_816,c_814,c_735,c_689,c_469,c_445,c_443,c_437,c_428,c_420,c_56,c_419,c_78,c_81]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SYN170-1 : TPTP v8.1.2. Released v1.1.0.
% 0.14/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.36  % Computer : n007.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May  2 20:38:35 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.22/0.51  Running first-order theorem proving
% 0.22/0.51  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
% 3.64/1.20  % SZS status Started for theBenchmark.p
% 3.64/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 3.64/1.20  
% 3.64/1.20  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.64/1.20  
% 3.64/1.20  ------  iProver source info
% 3.64/1.20  
% 3.64/1.20  git: date: 2024-05-02 19:28:25 +0000
% 3.64/1.20  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.64/1.20  git: non_committed_changes: false
% 3.64/1.20  
% 3.64/1.20  ------ Parsing...successful
% 3.64/1.20  
% 3.64/1.20  ------  preprocesses with Option_epr_horn
% 3.64/1.20  
% 3.64/1.20  
% 3.64/1.20  ------ Preprocessing... sf_s  rm: 51 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.64/1.20  
% 3.64/1.20  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 3.64/1.20   gs_s  sp: 102 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.64/1.20  ------ Proving...
% 3.64/1.20  ------ Problem Properties 
% 3.64/1.20  
% 3.64/1.20  
% 3.64/1.20  clauses                                 380
% 3.64/1.20  conjectures                             1
% 3.64/1.20  EPR                                     380
% 3.64/1.20  Horn                                    330
% 3.64/1.20  unary                                   51
% 3.64/1.20  binary                                  154
% 3.64/1.20  lits                                    948
% 3.64/1.20  lits eq                                 0
% 3.64/1.20  fd_pure                                 0
% 3.64/1.20  fd_pseudo                               0
% 3.64/1.20  fd_cond                                 0
% 3.64/1.20  fd_pseudo_cond                          0
% 3.64/1.20  AC symbols                              0
% 3.64/1.20  
% 3.64/1.20  ------ Schedule EPR non Horn non eq is on
% 3.64/1.20  
% 3.64/1.20  ------ no equalities: superposition off 
% 3.64/1.20  
% 3.64/1.20  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.64/1.20  
% 3.64/1.20  
% 3.64/1.20  ------ 
% 3.64/1.20  Current options:
% 3.64/1.20  ------ 
% 3.64/1.20  
% 3.64/1.20  
% 3.64/1.20  
% 3.64/1.20  
% 3.64/1.20  ------ Proving...
% 3.64/1.20  
% 3.64/1.20  
% 3.64/1.20  % SZS status Unsatisfiable for theBenchmark.p
% 3.64/1.20  
% 3.64/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.64/1.20  
% 3.64/1.20  
%------------------------------------------------------------------------------