↑ Up

LisaST---0.9.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : GRP623+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 07:24:12 AM UTC 2026

% Result   : Theorem 53.08s 10.72s
% Output   : CNFRefutation 53.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   77 (  20 unt;   0 def)
%            Number of atoms       :  216 (   8 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  213 (  74   ~;  95   |;  28   &)
%                                         (   2 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   18 (  16 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   74 (   4 sgn  25   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(d3_tarski,axiom,
    ! [X0,X1] :
      ( 'r1$utarski'(X0,X1)
    <=> ! [X2] :
          ( 'r2$uhidden'(X2,X0)
         => 'r2$uhidden'(X2,X1) ) ) ).

fof(dt_k1_autgroup,axiom,
    ! [X0] :
      ( ( 'l1$ugroup$u1'(X0)
        & 'v4$ugroup$u1'(X0)
        & 'v3$ugroup$u1'(X0)
        & 'v1$ugroup$u1'(X0)
        & ~ 'v3$ustruct$u0'(X0) )
     => 'm1$ufraenkel'('k1$uautgroup'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) ) ).

fof(dt_k4_autgroup,axiom,
    ! [X0] :
      ( ( 'l1$ugroup$u1'(X0)
        & 'v4$ugroup$u1'(X0)
        & 'v3$ugroup$u1'(X0)
        & 'v1$ugroup$u1'(X0)
        & ~ 'v3$ustruct$u0'(X0) )
     => 'm1$ufraenkel'('k4$uautgroup'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) ) ).

fof(dt_l1_group_1,axiom,
    ! [X0] :
      ( 'l1$ugroup$u1'(X0)
     => 'l1$ustruct$u0'(X0) ) ).

fof(dt_m1_fraenkel,axiom,
    ! [X0,X1,X2] :
      ( 'm1$ufraenkel'(X2,X0,X1)
     => ( 'v1$ufraenkel'(X2)
        & ~ 'v1$uxboole$u0'(X2) ) ) ).

fof(fc1_struct_0,axiom,
    ! [X0] :
      ( ( 'l1$ustruct$u0'(X0)
        & ~ 'v3$ustruct$u0'(X0) )
     => ~ 'v1$uxboole$u0'('u1$ustruct$u0'(X0)) ) ).

fof(fc1_xboole_0,axiom,
    'v1$uxboole$u0'('k1$uxboole$u0') ).

fof(rc1_partfun1,axiom,
    ? [X0] :
      ( 'v1$uxboole$u0'(X0)
      & 'v2$ufunct$u1'(X0)
      & 'v1$ufunct$u1'(X0)
      & 'v1$urelat$u1'(X0) ) ).

fof(redefinition_m2_fraenkel,axiom,
    ! [X0,X1,X2] :
      ( ( 'm1$ufraenkel'(X2,X0,X1)
        & ~ 'v1$uxboole$u0'(X1) )
     => ! [X3] :
          ( 'm2$ufraenkel'(X3,X0,X1,X2)
        <=> 'm1$usubset$u1'(X3,X2) ) ) ).

fof(t13_autgroup,axiom,
    ! [X0] :
      ( ( 'l1$ugroup$u1'(X0)
        & 'v4$ugroup$u1'(X0)
        & 'v3$ugroup$u1'(X0)
        & 'v1$ugroup$u1'(X0)
        & ~ 'v3$ustruct$u0'(X0) )
     => ! [X1] :
          ( 'm2$ufraenkel'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k4$uautgroup'(X0))
         => 'm2$ufraenkel'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k1$uautgroup'(X0)) ) ) ).

fof(t1_subset,axiom,
    ! [X0,X1] :
      ( 'r2$uhidden'(X0,X1)
     => 'm1$usubset$u1'(X0,X1) ) ).

fof(t2_subset,axiom,
    ! [X0,X1] :
      ( 'm1$usubset$u1'(X0,X1)
     => ( 'r2$uhidden'(X0,X1)
        | 'v1$uxboole$u0'(X1) ) ) ).

fof(t6_boole,axiom,
    ! [X0] :
      ( 'v1$uxboole$u0'(X0)
     => X0 = 'k1$uxboole$u0' ) ).

fof(t8_boole,axiom,
    ! [X0,X1] :
      ~ ( 'v1$uxboole$u0'(X1)
        & X0 != X1
        & 'v1$uxboole$u0'(X0) ) ).

fof(t14_autgroup,conjecture,
    ! [X0] :
      ( ( 'l1$ugroup$u1'(X0)
        & 'v4$ugroup$u1'(X0)
        & 'v3$ugroup$u1'(X0)
        & 'v1$ugroup$u1'(X0)
        & ~ 'v3$ustruct$u0'(X0) )
     => 'r1$utarski'('k4$uautgroup'(X0),'k1$uautgroup'(X0)) ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ! [X0] :
        ( ( 'l1$ugroup$u1'(X0)
          & 'v4$ugroup$u1'(X0)
          & 'v3$ugroup$u1'(X0)
          & 'v1$ugroup$u1'(X0)
          & ~ 'v3$ustruct$u0'(X0) )
       => 'r1$utarski'('k4$uautgroup'(X0),'k1$uautgroup'(X0)) ),
    inference(negate_conjecture,[status(cth)],[t14_autgroup]) ).

cnf(c21,plain,
    ( 'r2$uhidden'(sK23(X0,X1),X0)
    | 'r1$utarski'(X0,X1) ),
    inference(clausification,[status(esa)],[d3_tarski]) ).

cnf(c22,plain,
    ( ~ 'r2$uhidden'(sK23(X0,X1),X1)
    | 'r1$utarski'(X0,X1) ),
    inference(clausification,[status(esa)],[d3_tarski]) ).

cnf(c25,plain,
    ( ~ 'l1$ugroup$u1'(X0)
    | 'v3$ustruct$u0'(X0)
    | ~ 'v1$ugroup$u1'(X0)
    | ~ 'v3$ugroup$u1'(X0)
    | ~ 'v4$ugroup$u1'(X0)
    | 'm1$ufraenkel'('k1$uautgroup'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0)) ),
    inference(clausification,[status(esa)],[dt_k1_autgroup]) ).

cnf(c26,plain,
    ( 'm1$ufraenkel'('k4$uautgroup'(X0),'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0))
    | 'v3$ustruct$u0'(X0)
    | ~ 'v4$ugroup$u1'(X0)
    | ~ 'v1$ugroup$u1'(X0)
    | ~ 'l1$ugroup$u1'(X0)
    | ~ 'v3$ugroup$u1'(X0) ),
    inference(clausification,[status(esa)],[dt_k4_autgroup]) ).

cnf(c27,plain,
    ( 'l1$ustruct$u0'(X0)
    | ~ 'l1$ugroup$u1'(X0) ),
    inference(clausification,[status(esa)],[dt_l1_group_1]) ).

cnf(c28,plain,
    ( ~ 'v1$uxboole$u0'(X0)
    | ~ 'm1$ufraenkel'(X0,X1,X2) ),
    inference(clausification,[status(esa)],[dt_m1_fraenkel]) ).

cnf(c46,plain,
    ( ~ 'v1$uxboole$u0'('u1$ustruct$u0'(X0))
    | 'v3$ustruct$u0'(X0)
    | ~ 'l1$ustruct$u0'(X0) ),
    inference(clausification,[status(esa)],[fc1_struct_0]) ).

cnf(c47,plain,
    'v1$uxboole$u0'('k1$uxboole$u0'),
    inference(clausification,[status(esa)],[fc1_xboole_0]) ).

cnf(c62,plain,
    'v1$uxboole$u0'(sK70),
    inference(clausification,[status(esa)],[rc1_partfun1]) ).

cnf(c88,plain,
    ( 'm1$usubset$u1'(X3,X0)
    | ~ 'm2$ufraenkel'(X3,X1,X2,X0)
    | 'v1$uxboole$u0'(X2)
    | ~ 'm1$ufraenkel'(X0,X1,X2) ),
    inference(clausification,[status(esa)],[redefinition_m2_fraenkel]) ).

cnf(c89,plain,
    ( ~ 'm1$usubset$u1'(X3,X0)
    | 'm2$ufraenkel'(X3,X1,X2,X0)
    | 'v1$uxboole$u0'(X2)
    | ~ 'm1$ufraenkel'(X0,X1,X2) ),
    inference(clausification,[status(esa)],[redefinition_m2_fraenkel]) ).

cnf(c93,plain,
    ( 'm2$ufraenkel'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k1$uautgroup'(X0))
    | ~ 'v3$ugroup$u1'(X0)
    | ~ 'm2$ufraenkel'(X1,'u1$ustruct$u0'(X0),'u1$ustruct$u0'(X0),'k4$uautgroup'(X0))
    | ~ 'l1$ugroup$u1'(X0)
    | 'v3$ustruct$u0'(X0)
    | ~ 'v1$ugroup$u1'(X0)
    | ~ 'v4$ugroup$u1'(X0) ),
    inference(clausification,[status(esa)],[t13_autgroup]) ).

cnf(c94,plain,
    ( 'm1$usubset$u1'(X0,X1)
    | ~ 'r2$uhidden'(X0,X1) ),
    inference(clausification,[status(esa)],[t1_subset]) ).

cnf(c95,plain,
    ( 'v1$uxboole$u0'(X1)
    | 'r2$uhidden'(X0,X1)
    | ~ 'm1$usubset$u1'(X0,X1) ),
    inference(clausification,[status(esa)],[t2_subset]) ).

cnf(c100,plain,
    ( X0 = 'k1$uxboole$u0'
    | ~ 'v1$uxboole$u0'(X0) ),
    inference(clausification,[status(esa)],[t6_boole]) ).

cnf(c102,plain,
    ( X1 = X0
    | ~ 'v1$uxboole$u0'(X1)
    | ~ 'v1$uxboole$u0'(X0) ),
    inference(clausification,[status(esa)],[t8_boole]) ).

cnf(c103,plain,
    'v1$ugroup$u1'(sK111),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c104,plain,
    'v4$ugroup$u1'(sK111),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c105,plain,
    'l1$ugroup$u1'(sK111),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c106,plain,
    'v3$ugroup$u1'(sK111),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c107,plain,
    ~ 'v3$ustruct$u0'(sK111),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c108,plain,
    ~ 'r1$utarski'('k4$uautgroup'(sK111),'k1$uautgroup'(sK111)),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    sK70 = 'k1$uxboole$u0',
    inference(resolution,[status(thm)],[c100,c62]) ).

cnf(d1,plain,
    ( ~ 'v1$uxboole$u0'(X0)
    | 'k1$uxboole$u0' = X0 ),
    inference(resolution,[status(thm)],[c102,c47]) ).

cnf(d2,plain,
    ( ~ 'v1$uxboole$u0'(X0)
    | sK70 = X0 ),
    inference(demodulation,[status(thm)],[d1,d0]) ).

cnf(d3,plain,
    ( 'm1$ufraenkel'('k1$uautgroup'(sK111),'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111))
    | ~ 'v4$ugroup$u1'(sK111)
    | ~ 'v3$ugroup$u1'(sK111)
    | 'v3$ustruct$u0'(sK111)
    | ~ 'v1$ugroup$u1'(sK111) ),
    inference(resolution,[status(thm)],[c25,c105]) ).

cnf(d4,plain,
    ( 'm1$ufraenkel'('k1$uautgroup'(sK111),'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111))
    | ~ 'v4$ugroup$u1'(sK111)
    | ~ 'v3$ugroup$u1'(sK111)
    | 'v3$ustruct$u0'(sK111) ),
    inference(resolution,[status(thm)],[c103,d3]) ).

cnf(d5,plain,
    ( 'm1$ufraenkel'('k1$uautgroup'(sK111),'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111))
    | ~ 'v3$ugroup$u1'(sK111)
    | 'v3$ustruct$u0'(sK111) ),
    inference(resolution,[status(thm)],[c104,d4]) ).

cnf(d6,plain,
    ( 'm1$ufraenkel'('k1$uautgroup'(sK111),'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111))
    | 'v3$ustruct$u0'(sK111) ),
    inference(resolution,[status(thm)],[c106,d5]) ).

cnf(d7,plain,
    'm1$ufraenkel'('k1$uautgroup'(sK111),'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111)),
    inference(resolution,[status(thm)],[c107,d6]) ).

cnf(d8,plain,
    ( ~ 'm2$ufraenkel'(X0,'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111),'k1$uautgroup'(sK111))
    | 'v1$uxboole$u0'('u1$ustruct$u0'(sK111))
    | 'm1$usubset$u1'(X0,'k1$uautgroup'(sK111)) ),
    inference(resolution,[status(thm)],[d7,c88]) ).

cnf(d9,plain,
    ( ~ 'm2$ufraenkel'(X0,'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111),'k4$uautgroup'(sK111))
    | 'm2$ufraenkel'(X0,'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111),'k1$uautgroup'(sK111))
    | ~ 'v4$ugroup$u1'(sK111)
    | ~ 'v3$ugroup$u1'(sK111)
    | 'v3$ustruct$u0'(sK111)
    | ~ 'v1$ugroup$u1'(sK111) ),
    inference(resolution,[status(thm)],[c93,c105]) ).

cnf(d10,plain,
    ( ~ 'm2$ufraenkel'(X0,'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111),'k4$uautgroup'(sK111))
    | 'm2$ufraenkel'(X0,'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111),'k1$uautgroup'(sK111))
    | ~ 'v4$ugroup$u1'(sK111)
    | ~ 'v3$ugroup$u1'(sK111)
    | 'v3$ustruct$u0'(sK111) ),
    inference(resolution,[status(thm)],[c103,d9]) ).

cnf(d11,plain,
    ( ~ 'm2$ufraenkel'(X0,'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111),'k4$uautgroup'(sK111))
    | 'm2$ufraenkel'(X0,'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111),'k1$uautgroup'(sK111))
    | ~ 'v3$ugroup$u1'(sK111)
    | 'v3$ustruct$u0'(sK111) ),
    inference(resolution,[status(thm)],[c104,d10]) ).

cnf(d12,plain,
    ( ~ 'm2$ufraenkel'(X0,'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111),'k4$uautgroup'(sK111))
    | 'm2$ufraenkel'(X0,'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111),'k1$uautgroup'(sK111))
    | 'v3$ustruct$u0'(sK111) ),
    inference(resolution,[status(thm)],[c106,d11]) ).

cnf(d13,plain,
    ( ~ 'm2$ufraenkel'(X0,'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111),'k4$uautgroup'(sK111))
    | 'm2$ufraenkel'(X0,'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111),'k1$uautgroup'(sK111)) ),
    inference(resolution,[status(thm)],[c107,d12]) ).

cnf(d14,plain,
    ( 'm1$ufraenkel'('k4$uautgroup'(sK111),'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111))
    | ~ 'v4$ugroup$u1'(sK111)
    | ~ 'v3$ugroup$u1'(sK111)
    | 'v3$ustruct$u0'(sK111)
    | ~ 'v1$ugroup$u1'(sK111) ),
    inference(resolution,[status(thm)],[c26,c105]) ).

cnf(d15,plain,
    ( 'm1$ufraenkel'('k4$uautgroup'(sK111),'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111))
    | ~ 'v4$ugroup$u1'(sK111)
    | ~ 'v3$ugroup$u1'(sK111)
    | 'v3$ustruct$u0'(sK111) ),
    inference(resolution,[status(thm)],[c103,d14]) ).

cnf(d16,plain,
    ( 'm1$ufraenkel'('k4$uautgroup'(sK111),'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111))
    | ~ 'v3$ugroup$u1'(sK111)
    | 'v3$ustruct$u0'(sK111) ),
    inference(resolution,[status(thm)],[c104,d15]) ).

cnf(d17,plain,
    ( 'm1$ufraenkel'('k4$uautgroup'(sK111),'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111))
    | 'v3$ustruct$u0'(sK111) ),
    inference(resolution,[status(thm)],[c106,d16]) ).

cnf(d18,plain,
    'm1$ufraenkel'('k4$uautgroup'(sK111),'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111)),
    inference(resolution,[status(thm)],[c107,d17]) ).

cnf(d19,plain,
    ( 'r1$utarski'(X0,X1)
    | 'm1$usubset$u1'(sK23(X0,X1),X0) ),
    inference(resolution,[status(thm)],[c94,c21]) ).

cnf(d20,plain,
    ( 'm2$ufraenkel'(sK23(X0,X1),X3,X2,X0)
    | ~ 'm1$ufraenkel'(X0,X3,X2)
    | 'v1$uxboole$u0'(X2)
    | 'r1$utarski'(X0,X1) ),
    inference(resolution,[status(thm)],[d19,c89]) ).

cnf(d21,plain,
    ( 'm2$ufraenkel'(sK23('k4$uautgroup'(sK111),X0),'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111),'k4$uautgroup'(sK111))
    | 'r1$utarski'('k4$uautgroup'(sK111),X0)
    | 'v1$uxboole$u0'('u1$ustruct$u0'(sK111)) ),
    inference(resolution,[status(thm)],[d20,d18]) ).

cnf(d22,plain,
    ( ~ 'l1$ustruct$u0'(sK111)
    | 'v3$ustruct$u0'(sK111)
    | 'm2$ufraenkel'(sK23('k4$uautgroup'(sK111),X0),'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111),'k4$uautgroup'(sK111))
    | 'r1$utarski'('k4$uautgroup'(sK111),X0) ),
    inference(resolution,[status(thm)],[d21,c46]) ).

cnf(d23,plain,
    ( 'm2$ufraenkel'(sK23('k4$uautgroup'(sK111),X0),'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111),'k4$uautgroup'(sK111))
    | ~ 'l1$ustruct$u0'(sK111)
    | 'r1$utarski'('k4$uautgroup'(sK111),X0) ),
    inference(resolution,[status(thm)],[c107,d22]) ).

cnf(d24,plain,
    'l1$ustruct$u0'(sK111),
    inference(resolution,[status(thm)],[c27,c105]) ).

cnf(d25,plain,
    ( 'm2$ufraenkel'(sK23('k4$uautgroup'(sK111),X0),'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111),'k4$uautgroup'(sK111))
    | 'r1$utarski'('k4$uautgroup'(sK111),X0) ),
    inference(resolution,[status(thm)],[d24,d23]) ).

cnf(d26,plain,
    'm2$ufraenkel'(sK23('k4$uautgroup'(sK111),'k1$uautgroup'(sK111)),'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111),'k4$uautgroup'(sK111)),
    inference(resolution,[status(thm)],[d25,c108]) ).

cnf(d27,plain,
    'm2$ufraenkel'(sK23('k4$uautgroup'(sK111),'k1$uautgroup'(sK111)),'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111),'k1$uautgroup'(sK111)),
    inference(resolution,[status(thm)],[d26,d13]) ).

cnf(d28,plain,
    ( 'v1$uxboole$u0'('u1$ustruct$u0'(sK111))
    | 'm1$usubset$u1'(sK23('k4$uautgroup'(sK111),'k1$uautgroup'(sK111)),'k1$uautgroup'(sK111)) ),
    inference(resolution,[status(thm)],[d27,d8]) ).

cnf(d29,plain,
    ( 'v1$uxboole$u0'('k1$uautgroup'(sK111))
    | 'r2$uhidden'(sK23('k4$uautgroup'(sK111),'k1$uautgroup'(sK111)),'k1$uautgroup'(sK111))
    | 'v1$uxboole$u0'('u1$ustruct$u0'(sK111)) ),
    inference(resolution,[status(thm)],[d28,c95]) ).

cnf(d30,plain,
    ( 'r1$utarski'('k4$uautgroup'(sK111),'k1$uautgroup'(sK111))
    | 'v1$uxboole$u0'('k1$uautgroup'(sK111))
    | 'v1$uxboole$u0'('u1$ustruct$u0'(sK111)) ),
    inference(resolution,[status(thm)],[d29,c22]) ).

cnf(d31,plain,
    ( 'v1$uxboole$u0'('k1$uautgroup'(sK111))
    | 'v1$uxboole$u0'('u1$ustruct$u0'(sK111)) ),
    inference(resolution,[status(thm)],[c108,d30]) ).

cnf(d32,plain,
    ( ~ 'l1$ustruct$u0'(sK111)
    | 'v3$ustruct$u0'(sK111)
    | 'v1$uxboole$u0'('k1$uautgroup'(sK111)) ),
    inference(resolution,[status(thm)],[d31,c46]) ).

cnf(d33,plain,
    ( ~ 'l1$ustruct$u0'(sK111)
    | 'v1$uxboole$u0'('k1$uautgroup'(sK111)) ),
    inference(resolution,[status(thm)],[c107,d32]) ).

cnf(d34,plain,
    'v1$uxboole$u0'('k1$uautgroup'(sK111)),
    inference(resolution,[status(thm)],[d24,d33]) ).

cnf(d35,plain,
    sK70 = 'k1$uautgroup'(sK111),
    inference(resolution,[status(thm)],[d34,d2]) ).

cnf(d36,plain,
    'm1$ufraenkel'(sK70,'u1$ustruct$u0'(sK111),'u1$ustruct$u0'(sK111)),
    inference(demodulation,[status(thm)],[d7,d35]) ).

cnf(d37,plain,
    ~ 'm1$ufraenkel'(sK70,X0,X1),
    inference(resolution,[status(thm)],[c28,c62]) ).

cnf(d38,plain,
    $false,
    inference(resolution,[status(thm)],[d37,d36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GRP623+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n015.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Fri Sep 25 15:07:12 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.09/0.35  Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 53.08/10.72  % SZS status Theorem for theBenchmark.p
% 53.08/10.72  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------