TSTP Solution File: SYN157-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN157-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n012.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 03:29:28 EDT 2024

% Result   : Unsatisfiable 3.81s 1.18s
% Output   : CNFRefutation 3.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   39 (   8 unt;   1 nHn;  39 RR)
%            Number of literals    :   87 (   0 equ;  52 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   17 (  16 usr;   3 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   34 (  11 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ n5(X0,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(c_50,plain,
    s0(d),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).

cnf(c_74,plain,
    q0(d,d),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_25) ).

cnf(c_77,plain,
    k0(e),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).

cnf(c_81,plain,
    k0(b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).

cnf(c_155,plain,
    ( ~ k0(X0)
    | p1(X0,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_068) ).

cnf(c_204,plain,
    ( ~ s0(d)
    | ~ k0(e)
    | q1(d,d,d) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_117) ).

cnf(c_211,plain,
    ( ~ q1(d,X0,d)
    | ~ q0(X1,X0)
    | ~ s0(d)
    | r1(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_124) ).

cnf(c_224,plain,
    ( ~ p1(X0,X1,X2)
    | n2(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).

cnf(c_268,plain,
    ( ~ p1(X0,X0,X0)
    | q2(X0,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_181) ).

cnf(c_297,plain,
    ( ~ n2(X0)
    | k3(X0,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_210) ).

cnf(c_323,plain,
    ( ~ n2(X0)
    | m3(X0,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_236) ).

cnf(c_331,plain,
    ( ~ n2(X0)
    | p3(X0,X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_244) ).

cnf(c_364,plain,
    ( ~ p3(X0,X1,X2)
    | l4(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_277) ).

cnf(c_382,plain,
    ( ~ q2(X0,X1,X2)
    | ~ k3(X3,X3,X2)
    | ~ m3(X0,X4,X0)
    | q4(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_295) ).

cnf(c_383,plain,
    ( ~ q4(X0,X1)
    | ~ r1(X2)
    | ~ l4(X0)
    | q4(X2,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_296) ).

cnf(c_400,plain,
    ( ~ q4(X0,X1)
    | n5(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_313) ).

cnf(c_434,plain,
    ( ~ p3(b,b,b)
    | l4(b) ),
    inference(instantiation,[status(thm)],[c_364]) ).

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

cnf(c_439,plain,
    ( ~ n2(b)
    | m3(b,b,b) ),
    inference(instantiation,[status(thm)],[c_323]) ).

cnf(c_441,plain,
    ( ~ n2(b)
    | k3(b,b,b) ),
    inference(instantiation,[status(thm)],[c_297]) ).

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_476,plain,
    ( ~ p1(b,b,b)
    | q2(b,b,b) ),
    inference(instantiation,[status(thm)],[c_268]) ).

cnf(c_574,plain,
    ( ~ q2(b,b,b)
    | ~ k3(b,b,b)
    | ~ m3(b,b,b)
    | q4(b,b) ),
    inference(instantiation,[status(thm)],[c_382]) ).

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_742,plain,
    ( q4(X0,X0)
    | ~ r1(X0)
    | ~ sP13_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_def])],[c_383]) ).

cnf(c_743,plain,
    ( ~ q4(X0,X1)
    | ~ l4(X0)
    | ~ sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_def])],[c_383]) ).

cnf(c_744,plain,
    ( sP13_iProver_def
    | sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_383]) ).

cnf(c_876,negated_conjecture,
    ~ n5(X0,d),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_915,plain,
    ( ~ q4(b,b)
    | ~ l4(b)
    | ~ sP14_iProver_def ),
    inference(instantiation,[status(thm)],[c_743]) ).

cnf(c_958,plain,
    ( ~ q4(X0,d)
    | n5(d,d) ),
    inference(instantiation,[status(thm)],[c_400]) ).

cnf(c_959,plain,
    ~ n5(d,d),
    inference(instantiation,[status(thm)],[c_876]) ).

cnf(c_961,plain,
    ( ~ q1(d,d,d)
    | ~ q0(X0,d)
    | r1(X0) ),
    inference(instantiation,[status(thm)],[c_691]) ).

cnf(c_1512,plain,
    ( ~ q1(d,d,d)
    | ~ q0(d,d)
    | r1(d) ),
    inference(instantiation,[status(thm)],[c_961]) ).

cnf(c_1783,plain,
    ( ~ r1(d)
    | ~ sP13_iProver_def
    | q4(d,d) ),
    inference(instantiation,[status(thm)],[c_742]) ).

cnf(c_1784,plain,
    ( ~ q4(d,d)
    | n5(d,d) ),
    inference(instantiation,[status(thm)],[c_958]) ).

cnf(c_1785,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1784,c_1783,c_1512,c_959,c_915,c_744,c_574,c_204,c_476,c_445,c_443,c_441,c_439,c_437,c_434,c_74,c_50,c_77,c_81]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYN157-1 : TPTP v8.1.2. Released v1.1.0.
% 0.08/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n012.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 : Thu May  2 20:50:25 EDT 2024
% 0.13/0.36  % CPUTime  : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/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  ------  preprocesses with Option_epr_horn
% 3.81/1.18  
% 3.81/1.18  
% 3.81/1.18  ------ Preprocessing... sf_s  rm: 32 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: 112 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                                 408
% 3.81/1.18  conjectures                             1
% 3.81/1.18  EPR                                     408
% 3.81/1.18  Horn                                    353
% 3.81/1.18  unary                                   52
% 3.81/1.18  binary                                  165
% 3.81/1.18  lits                                    1025
% 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  
%------------------------------------------------------------------------------