↑ Up

CSE_E---1.7.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR070+2 : TPTP v9.2.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n016.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 : Tue May  5 04:14:45 PM UTC 2026

% Result   : Theorem 1.78s 1.93s
% Output   : CNFRefutation 1.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   31 (  10 unt;   0 def)
%            Number of atoms       :   55 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   41 (  17   ~;  14   |;   2   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-3 aty)
%            Number of variables   :   30 (   0 sgn  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query120,conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query120) ).

fof(ax1_1123,axiom,
    ! [X20,X21] :
      ( ( mtvisible(X20)
        & genlmt(X20,X21) )
     => mtvisible(X21) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_1123) ).

fof(ax1_178,axiom,
    ( mtvisible(c_tptp_member2668_mt)
   => tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_178) ).

fof(ax1_350,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_350) ).

fof(ax1_427,axiom,
    ! [X5,X6] :
      ( tptptypes_9_824(X5,X6)
     => tptptypes_8_823(X5,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_427) ).

fof(ax1_271,axiom,
    ! [X5,X6] :
      ( tptptypes_8_823(X5,X6)
     => tptptypes_7_819(X5,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_271) ).

fof(ax1_139,axiom,
    ! [X5,X6] :
      ( tptptypes_7_819(X5,X6)
     => tptptypes_6_818(X5,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_139) ).

fof(ax1_416,axiom,
    ! [X5,X6] :
      ( tptptypes_6_818(X5,X6)
     => tptptypes_5_802(X5,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_416) ).

fof(c_0_8,negated_conjecture,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(assume_negation,[status(cth)],[query120]) ).

fof(c_0_9,plain,
    ! [X2249,X2250] :
      ( ~ mtvisible(X2249)
      | ~ genlmt(X2249,X2250)
      | mtvisible(X2250) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_1123])]) ).

fof(c_0_10,negated_conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
    & ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(fof_nnf,[status(thm)],[c_0_8]) ).

fof(c_0_11,plain,
    ( ~ mtvisible(c_tptp_member2668_mt)
    | tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(fof_nnf,[status(thm)],[ax1_178]) ).

cnf(c_0_12,plain,
    ( mtvisible(X2)
    | ~ mtvisible(X1)
    | ~ genlmt(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    inference(split_conjunct,[status(thm)],[ax1_350]) ).

cnf(c_0_14,negated_conjecture,
    mtvisible(c_tptp_spindlecollectormt),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_15,plain,
    ! [X1329,X1330] :
      ( ~ tptptypes_9_824(X1329,X1330)
      | tptptypes_8_823(X1329,X1330) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_427])]) ).

cnf(c_0_16,plain,
    ( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ mtvisible(c_tptp_member2668_mt) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,plain,
    mtvisible(c_tptp_member2668_mt),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).

fof(c_0_18,plain,
    ! [X1259,X1260] :
      ( ~ tptptypes_8_823(X1259,X1260)
      | tptptypes_7_819(X1259,X1260) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_271])]) ).

cnf(c_0_19,plain,
    ( tptptypes_8_823(X1,X2)
    | ~ tptptypes_9_824(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,plain,
    tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).

fof(c_0_21,plain,
    ! [X1203,X1204] :
      ( ~ tptptypes_7_819(X1203,X1204)
      | tptptypes_6_818(X1203,X1204) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_139])]) ).

cnf(c_0_22,plain,
    ( tptptypes_7_819(X1,X2)
    | ~ tptptypes_8_823(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_23,plain,
    tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

fof(c_0_24,plain,
    ! [X1323,X1324] :
      ( ~ tptptypes_6_818(X1323,X1324)
      | tptptypes_5_802(X1323,X1324) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_416])]) ).

cnf(c_0_25,plain,
    ( tptptypes_6_818(X1,X2)
    | ~ tptptypes_7_819(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_26,plain,
    tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_27,plain,
    ( tptptypes_5_802(X1,X2)
    | ~ tptptypes_6_818(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_28,plain,
    tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_29,negated_conjecture,
    ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_30,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : CSR070+2 : TPTP v9.2.1. Released v3.4.0.
% 0.12/0.13  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.35  % Computer : n016.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit   : 300
% 0.16/0.35  % WCLimit    : 300
% 0.16/0.35  % DateTime   : Mon May  4 16:43:36 EDT 2026
% 0.16/0.35  % CPUTime    : 
% 0.20/0.36  % start to proof: theBenchmark
% 1.78/1.93  % Version  : CSE_E---1.7
% 1.78/1.93  % Problem  : theBenchmark.p
% 1.78/1.93  % SZS status Theorem for theBenchmark.p
% 1.78/1.93  % SZS output start CNFRefutation
% See solution above
% 1.78/1.93  % Total time : 1.483s
%------------------------------------------------------------------------------