TSTP Solution File: ALG377-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ALG377-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.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 02:04:38 EDT 2024

% Result   : Unsatisfiable 7.55s 1.64s
% Output   : CNFRefutation 7.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   17 (   4 unt;   6 nHn;  11 RR)
%            Number of literals    :   34 (   2 equ;  18 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :   29 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_203,plain,
    ( ~ c_lessequals(X0,X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__le_1) ).

cnf(c_204,plain,
    ( ~ class_Orderings_Olinorder(X0)
    | c_lessequals(X1,X2,X0)
    | c_HOL_Oord__class_Oless(X2,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__le_0) ).

cnf(c_518,plain,
    ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X0,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__add__left__mono_0) ).

cnf(c_554,plain,
    c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

cnf(c_555,negated_conjecture,
    ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_605,plain,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Olinorder) ).

cnf(c_2908,plain,
    ( X0 != tc_RealDef_Oreal
    | ~ c_lessequals(X1,X2,X0)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
    inference(resolution_lifted,[status(thm)],[c_203,c_605]) ).

cnf(c_2909,plain,
    ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal) ),
    inference(unflattening,[status(thm)],[c_2908]) ).

cnf(c_2948,plain,
    ( X0 != tc_RealDef_Oreal
    | c_lessequals(X1,X2,X0)
    | c_HOL_Oord__class_Oless(X2,X1,X0) ),
    inference(resolution_lifted,[status(thm)],[c_204,c_605]) ).

cnf(c_2949,plain,
    ( c_lessequals(X0,X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal) ),
    inference(unflattening,[status(thm)],[c_2948]) ).

cnf(c_4739,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal)
    | ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
    inference(prop_impl_just,[status(thm)],[c_2909]) ).

cnf(c_4740,plain,
    ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal) ),
    inference(renaming,[status(thm)],[c_4739]) ).

cnf(c_5163,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X0,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal) ),
    inference(prop_impl_just,[status(thm)],[c_518,c_2949]) ).

cnf(c_5164,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal) ),
    inference(renaming,[status(thm)],[c_5163]) ).

cnf(c_7479,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(instantiation,[status(thm)],[c_5164]) ).

cnf(c_11761,plain,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat)),tc_nat),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(instantiation,[status(thm)],[c_4740]) ).

cnf(c_11762,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_11761,c_7479,c_555,c_554]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : ALG377-1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n026.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 23:05:51 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  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
% 7.55/1.64  % SZS status Started for theBenchmark.p
% 7.55/1.64  % SZS status Unsatisfiable for theBenchmark.p
% 7.55/1.64  
% 7.55/1.64  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.55/1.64  
% 7.55/1.64  ------  iProver source info
% 7.55/1.64  
% 7.55/1.64  git: date: 2024-05-02 19:28:25 +0000
% 7.55/1.64  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.55/1.64  git: non_committed_changes: false
% 7.55/1.64  
% 7.55/1.64  ------ Parsing...successful
% 7.55/1.64  
% 7.55/1.64  
% 7.55/1.64  
% 7.55/1.64  ------ Preprocessing... sup_sim: 1  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e  sup_sim: 7  pe_s  pe_e 
% 7.55/1.64  
% 7.55/1.64  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  scvd_s sp: 0 0s scvd_e  snvd_s sp: 0 0s snvd_e 
% 7.55/1.64  
% 7.55/1.64  ------ Preprocessing...
% 7.55/1.64  ------ Proving...
% 7.55/1.64  ------ Problem Properties 
% 7.55/1.64  
% 7.55/1.64  
% 7.55/1.64  clauses                                 432
% 7.55/1.64  conjectures                             1
% 7.55/1.64  EPR                                     21
% 7.55/1.64  Horn                                    362
% 7.55/1.64  unary                                   139
% 7.55/1.64  binary                                  200
% 7.55/1.64  lits                                    834
% 7.55/1.64  lits eq                                 207
% 7.55/1.64  fd_pure                                 0
% 7.55/1.64  fd_pseudo                               0
% 7.55/1.64  fd_cond                                 32
% 7.55/1.64  fd_pseudo_cond                          21
% 7.55/1.64  AC symbols                              0
% 7.55/1.64  
% 7.55/1.64  ------ Input Options Time Limit: Unbounded
% 7.55/1.64  
% 7.55/1.64  
% 7.55/1.64  ------ 
% 7.55/1.64  Current options:
% 7.55/1.64  ------ 
% 7.55/1.64  
% 7.55/1.64  
% 7.55/1.64  
% 7.55/1.64  
% 7.55/1.64  ------ Proving...
% 7.55/1.64  
% 7.55/1.64  
% 7.55/1.64  % SZS status Unsatisfiable for theBenchmark.p
% 7.55/1.64  
% 7.55/1.64  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.55/1.64  
% 7.55/1.64  
%------------------------------------------------------------------------------