TSTP Solution File: SYN632-1 by Leo-III-SAT---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SYN632-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n029.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 21 08:19:02 EDT 2024

% Result   : Unsatisfiable 57.93s 9.87s
% Output   : Refutation 58.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   31
% Syntax   : Number of formulae    :   78 (  16 unt;  20 typ;   0 def)
%            Number of atoms       :  141 (  11 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  895 (  80   ~;  61   |;   0   &; 754   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (  11 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   24 (  24   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  20 usr;  10 con; 0-2 aty)
%            Number of variables   :  128 (   0   ^ 128   !;   0   ?; 128   :)

% Comments : 
%------------------------------------------------------------------------------
thf(p4_type,type,
    p4: $i > $i > $o ).

thf(p3_type,type,
    p3: $i > $i > $o ).

thf(p2_type,type,
    p2: $i > $i > $o ).

thf(p21_type,type,
    p21: $i > $i > $o ).

thf(f5_type,type,
    f5: $i > $i > $i ).

thf(f7_type,type,
    f7: $i > $i > $i ).

thf(f10_type,type,
    f10: $i > $i > $i ).

thf(c24_type,type,
    c24: $i ).

thf(f12_type,type,
    f12: $i > $i > $i ).

thf(c28_type,type,
    c28: $i ).

thf(c25_type,type,
    c25: $i ).

thf(c26_type,type,
    c26: $i ).

thf(c22_type,type,
    c22: $i ).

thf(c23_type,type,
    c23: $i ).

thf(c27_type,type,
    c27: $i ).

thf(f16_type,type,
    f16: $i > $i > $i ).

thf(f18_type,type,
    f18: $i > $i > $i ).

thf(f20_type,type,
    f20: $i > $i > $i ).

thf(f14_type,type,
    f14: $i > $i > $i ).

thf(c29_type,type,
    c29: $i ).

thf(24,negated_conjecture,
    p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c28 @ ( f12 @ c25 @ c26 ) ) ) @ c22 ) @ c23 ) @ c27,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_24) ).

thf(54,plain,
    p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c28 @ ( f12 @ c25 @ c26 ) ) ) @ c22 ) @ c23 ) @ c27,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(38,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ A ) @ B ) @ C ) @ ( f14 @ ( f16 @ ( f18 @ ( f20 @ c29 @ A ) @ C ) @ B ) @ D ) )
      | ~ ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c28 @ A ) ) @ B ) @ C ) @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_38) ).

thf(62,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ A ) @ B ) @ C ) @ ( f14 @ ( f16 @ ( f18 @ ( f20 @ c29 @ A ) @ C ) @ B ) @ D ) )
      | ~ ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c28 @ A ) ) @ B ) @ C ) @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(102,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ A ) @ B ) @ C ) @ ( f14 @ ( f16 @ ( f18 @ ( f20 @ c29 @ A ) @ C ) @ B ) @ D ) )
      | ~ ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c28 @ A ) ) @ B ) @ C ) @ D ) ),
    inference(cnf,[status(esa)],[62]) ).

thf(2981,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ A ) @ B ) @ C ) @ ( f14 @ ( f16 @ ( f18 @ ( f20 @ c29 @ A ) @ C ) @ B ) @ D ) )
      | ( ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c28 @ ( f12 @ c25 @ c26 ) ) ) @ c22 ) @ c23 ) @ c27 )
       != ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c28 @ A ) ) @ B ) @ C ) @ D ) ) ),
    inference(paramod_ordered,[status(thm)],[54,102]) ).

thf(2982,plain,
    p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ c26 ) ) @ c22 ) @ c23 ) @ ( f14 @ ( f16 @ ( f18 @ ( f20 @ c29 @ ( f12 @ c25 @ c26 ) ) @ c23 ) @ c22 ) @ c27 ),
    inference(pattern_uni,[status(thm)],[2981:[bind(A,$thf( f12 @ c25 @ c26 )),bind(B,$thf( c22 )),bind(C,$thf( c23 )),bind(D,$thf( c27 ))]]) ).

thf(33,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p3 @ A @ B )
      | ~ ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ c26 ) ) @ C ) @ A ) @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_33) ).

thf(60,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p3 @ A @ B )
      | ~ ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ c26 ) ) @ C ) @ A ) @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(79,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p3 @ A @ B )
      | ~ ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ c26 ) ) @ C ) @ A ) @ B ) ),
    inference(cnf,[status(esa)],[60]) ).

thf(3046,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p3 @ A @ B )
      | ( ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ c26 ) ) @ c22 ) @ c23 ) @ ( f14 @ ( f16 @ ( f18 @ ( f20 @ c29 @ ( f12 @ c25 @ c26 ) ) @ c23 ) @ c22 ) @ c27 ) )
       != ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ c26 ) ) @ C ) @ A ) @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[2982,79]) ).

thf(3047,plain,
    p3 @ c23 @ ( f14 @ ( f16 @ ( f18 @ ( f20 @ c29 @ ( f12 @ c25 @ c26 ) ) @ c23 ) @ c22 ) @ c27 ),
    inference(pattern_uni,[status(thm)],[3046:[bind(A,$thf( c23 )),bind(B,$thf( f14 @ ( f16 @ ( f18 @ ( f20 @ c29 @ ( f12 @ c25 @ c26 ) ) @ c23 ) @ c22 ) @ c27 )),bind(C,$thf( c22 ))]]) ).

thf(6,negated_conjecture,
    ! [A: $i] : ( p3 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_6) ).

thf(43,plain,
    ! [A: $i] : ( p3 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(17,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p3 @ A @ B )
      | ~ ( p3 @ C @ A )
      | ~ ( p3 @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_17) ).

thf(63,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p3 @ A @ B )
      | ~ ( p3 @ C @ A )
      | ~ ( p3 @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(95,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p3 @ A @ B )
      | ~ ( p3 @ C @ A )
      | ~ ( p3 @ C @ B ) ),
    inference(cnf,[status(esa)],[63]) ).

thf(1594,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p3 @ B @ C )
      | ~ ( p3 @ D @ B )
      | ( ( p3 @ A @ A )
       != ( p3 @ D @ C ) ) ),
    inference(paramod_ordered,[status(thm)],[43,95]) ).

thf(1595,plain,
    ! [B: $i,A: $i] :
      ( ( p3 @ B @ A )
      | ~ ( p3 @ A @ B ) ),
    inference(pattern_uni,[status(thm)],[1594:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( A ))]]) ).

thf(31,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p4 @ ( f5 @ A @ B ) @ ( f5 @ C @ D ) )
      | ~ ( p2 @ A @ C )
      | ~ ( p3 @ B @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_31) ).

thf(71,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p4 @ ( f5 @ A @ B ) @ ( f5 @ C @ D ) )
      | ~ ( p2 @ A @ C )
      | ~ ( p3 @ B @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(92,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p4 @ ( f5 @ A @ B ) @ ( f5 @ C @ D ) )
      | ~ ( p2 @ A @ C )
      | ~ ( p3 @ B @ D ) ),
    inference(cnf,[status(esa)],[71]) ).

thf(36,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p21 @ ( f5 @ A @ ( f14 @ ( f16 @ ( f18 @ ( f20 @ c29 @ B ) @ C ) @ A ) @ D ) ) @ D )
      | ~ ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c28 @ B ) ) @ A ) @ C ) @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_36) ).

thf(74,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p21 @ ( f5 @ A @ ( f14 @ ( f16 @ ( f18 @ ( f20 @ c29 @ B ) @ C ) @ A ) @ D ) ) @ D )
      | ~ ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c28 @ B ) ) @ A ) @ C ) @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(88,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p21 @ ( f5 @ A @ ( f14 @ ( f16 @ ( f18 @ ( f20 @ c29 @ B ) @ C ) @ A ) @ D ) ) @ D )
      | ~ ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c28 @ B ) ) @ A ) @ C ) @ D ) ),
    inference(cnf,[status(esa)],[74]) ).

thf(779,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p21 @ ( f5 @ A @ ( f14 @ ( f16 @ ( f18 @ ( f20 @ c29 @ B ) @ C ) @ A ) @ D ) ) @ D )
      | ( ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c28 @ ( f12 @ c25 @ c26 ) ) ) @ c22 ) @ c23 ) @ c27 )
       != ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c28 @ B ) ) @ A ) @ C ) @ D ) ) ),
    inference(paramod_ordered,[status(thm)],[54,88]) ).

thf(780,plain,
    p21 @ ( f5 @ c22 @ ( f14 @ ( f16 @ ( f18 @ ( f20 @ c29 @ ( f12 @ c25 @ c26 ) ) @ c23 ) @ c22 ) @ c27 ) ) @ c27,
    inference(pattern_uni,[status(thm)],[779:[bind(A,$thf( c22 )),bind(B,$thf( f12 @ c25 @ c26 )),bind(C,$thf( c23 )),bind(D,$thf( c27 ))]]) ).

thf(23,negated_conjecture,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p21 @ A @ B )
      | ~ ( p3 @ C @ B )
      | ~ ( p4 @ D @ A )
      | ~ ( p21 @ D @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_23) ).

thf(73,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p21 @ A @ B )
      | ~ ( p3 @ C @ B )
      | ~ ( p4 @ D @ A )
      | ~ ( p21 @ D @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(84,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p21 @ A @ B )
      | ~ ( p3 @ C @ B )
      | ~ ( p4 @ D @ A )
      | ~ ( p21 @ D @ C ) ),
    inference(cnf,[status(esa)],[73]) ).

thf(34,negated_conjecture,
    ! [C: $i,B: $i,A: $i] :
      ( ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ c26 ) ) @ A ) @ B ) @ C )
      | ~ ( p3 @ B @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_34) ).

thf(65,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ c26 ) ) @ A ) @ B ) @ C )
      | ~ ( p3 @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(81,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ c26 ) ) @ A ) @ B ) @ C )
      | ~ ( p3 @ B @ C ) ),
    inference(cnf,[status(esa)],[65]) ).

thf(256,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ c26 ) ) @ B ) @ C ) @ D )
      | ( ( p3 @ A @ A )
       != ( p3 @ C @ D ) ) ),
    inference(paramod_ordered,[status(thm)],[43,81]) ).

thf(257,plain,
    ! [B: $i,A: $i] : ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ c26 ) ) @ B ) @ A ) @ A ),
    inference(pattern_uni,[status(thm)],[256:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( A )),bind(D,$thf( A ))]]) ).

thf(35,negated_conjecture,
    ! [A: $i] :
      ( ~ ( p21 @ ( f5 @ c22 @ c23 ) @ A )
      | ~ ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ c26 ) ) @ c22 ) @ A ) @ c27 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p21_35) ).

thf(69,plain,
    ! [A: $i] :
      ( ~ ( p21 @ ( f5 @ c22 @ c23 ) @ A )
      | ~ ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ c26 ) ) @ c22 ) @ A ) @ c27 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(77,plain,
    ! [A: $i] :
      ( ~ ( p21 @ ( f5 @ c22 @ c23 ) @ A )
      | ~ ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ c26 ) ) @ c22 ) @ A ) @ c27 ) ),
    inference(cnf,[status(esa)],[69]) ).

thf(276,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( p21 @ ( f5 @ c22 @ c23 ) @ C )
      | ( ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ c26 ) ) @ B ) @ A ) @ A )
       != ( p21 @ ( f5 @ ( f7 @ ( f10 @ c24 @ ( f12 @ c25 @ c26 ) ) @ c22 ) @ C ) @ c27 ) ) ),
    inference(paramod_ordered,[status(thm)],[257,77]) ).

thf(277,plain,
    ~ ( p21 @ ( f5 @ c22 @ c23 ) @ c27 ),
    inference(pattern_uni,[status(thm)],[276:[bind(A,$thf( c27 )),bind(B,$thf( c22 )),bind(C,$thf( c27 ))]]) ).

thf(499,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p3 @ C @ B )
      | ~ ( p4 @ D @ A )
      | ~ ( p21 @ D @ C )
      | ( ( p21 @ A @ B )
       != ( p21 @ ( f5 @ c22 @ c23 ) @ c27 ) ) ),
    inference(paramod_ordered,[status(thm)],[84,277]) ).

thf(500,plain,
    ! [B: $i,A: $i] :
      ( ~ ( p3 @ A @ c27 )
      | ~ ( p4 @ B @ ( f5 @ c22 @ c23 ) )
      | ~ ( p21 @ B @ A ) ),
    inference(pattern_uni,[status(thm)],[499:[bind(A,$thf( f5 @ c22 @ c23 )),bind(B,$thf( c27 )),bind(C,$thf( C )),bind(D,$thf( D ))]]) ).

thf(511,plain,
    ! [B: $i,A: $i] :
      ( ~ ( p3 @ A @ c27 )
      | ~ ( p4 @ B @ ( f5 @ c22 @ c23 ) )
      | ~ ( p21 @ B @ A ) ),
    inference(simp,[status(thm)],[500]) ).

thf(1222,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( p4 @ C @ ( f5 @ c22 @ c23 ) )
      | ~ ( p21 @ C @ B )
      | ( ( p3 @ A @ A )
       != ( p3 @ B @ c27 ) ) ),
    inference(paramod_ordered,[status(thm)],[43,511]) ).

thf(1223,plain,
    ! [A: $i] :
      ( ~ ( p4 @ A @ ( f5 @ c22 @ c23 ) )
      | ~ ( p21 @ A @ c27 ) ),
    inference(pattern_uni,[status(thm)],[1222:[bind(A,$thf( c27 )),bind(B,$thf( c27 ))]]) ).

thf(1230,plain,
    ! [A: $i] :
      ( ~ ( p4 @ A @ ( f5 @ c22 @ c23 ) )
      | ~ ( p21 @ A @ c27 ) ),
    inference(simp,[status(thm)],[1223]) ).

thf(1257,plain,
    ! [A: $i] :
      ( ~ ( p4 @ A @ ( f5 @ c22 @ c23 ) )
      | ( ( p21 @ ( f5 @ c22 @ ( f14 @ ( f16 @ ( f18 @ ( f20 @ c29 @ ( f12 @ c25 @ c26 ) ) @ c23 ) @ c22 ) @ c27 ) ) @ c27 )
       != ( p21 @ A @ c27 ) ) ),
    inference(paramod_ordered,[status(thm)],[780,1230]) ).

thf(1258,plain,
    ~ ( p4 @ ( f5 @ c22 @ ( f14 @ ( f16 @ ( f18 @ ( f20 @ c29 @ ( f12 @ c25 @ c26 ) ) @ c23 ) @ c22 ) @ c27 ) ) @ ( f5 @ c22 @ c23 ) ),
    inference(pattern_uni,[status(thm)],[1257:[bind(A,$thf( f5 @ c22 @ ( f14 @ ( f16 @ ( f18 @ ( f20 @ c29 @ ( f12 @ c25 @ c26 ) ) @ c23 ) @ c22 ) @ c27 ) ))]]) ).

thf(1475,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p2 @ A @ C )
      | ~ ( p3 @ B @ D )
      | ( ( p4 @ ( f5 @ A @ B ) @ ( f5 @ C @ D ) )
       != ( p4 @ ( f5 @ c22 @ ( f14 @ ( f16 @ ( f18 @ ( f20 @ c29 @ ( f12 @ c25 @ c26 ) ) @ c23 ) @ c22 ) @ c27 ) ) @ ( f5 @ c22 @ c23 ) ) ) ),
    inference(paramod_ordered,[status(thm)],[92,1258]) ).

thf(1476,plain,
    ( ~ ( p2 @ c22 @ c22 )
    | ~ ( p3 @ ( f14 @ ( f16 @ ( f18 @ ( f20 @ c29 @ ( f12 @ c25 @ c26 ) ) @ c23 ) @ c22 ) @ c27 ) @ c23 ) ),
    inference(pattern_uni,[status(thm)],[1475:[bind(A,$thf( c22 )),bind(B,$thf( f14 @ ( f16 @ ( f18 @ ( f20 @ c29 @ ( f12 @ c25 @ c26 ) ) @ c23 ) @ c22 ) @ c27 )),bind(C,$thf( c22 )),bind(D,$thf( c23 ))]]) ).

thf(7,negated_conjecture,
    ! [A: $i] : ( p2 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).

thf(48,plain,
    ! [A: $i] : ( p2 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(2124,plain,
    ( ~ $true
    | ~ ( p3 @ ( f14 @ ( f16 @ ( f18 @ ( f20 @ c29 @ ( f12 @ c25 @ c26 ) ) @ c23 ) @ c22 ) @ c27 ) @ c23 ) ),
    inference(rewrite,[status(thm)],[1476,48]) ).

thf(2125,plain,
    ~ ( p3 @ ( f14 @ ( f16 @ ( f18 @ ( f20 @ c29 @ ( f12 @ c25 @ c26 ) ) @ c23 ) @ c22 ) @ c27 ) @ c23 ),
    inference(simp,[status(thm)],[2124]) ).

thf(2128,plain,
    ! [B: $i,A: $i] :
      ( ~ ( p3 @ A @ B )
      | ( ( p3 @ B @ A )
       != ( p3 @ ( f14 @ ( f16 @ ( f18 @ ( f20 @ c29 @ ( f12 @ c25 @ c26 ) ) @ c23 ) @ c22 ) @ c27 ) @ c23 ) ) ),
    inference(paramod_ordered,[status(thm)],[1595,2125]) ).

thf(2129,plain,
    ~ ( p3 @ c23 @ ( f14 @ ( f16 @ ( f18 @ ( f20 @ c29 @ ( f12 @ c25 @ c26 ) ) @ c23 ) @ c22 ) @ c27 ) ),
    inference(pattern_uni,[status(thm)],[2128:[bind(A,$thf( c23 )),bind(B,$thf( f14 @ ( f16 @ ( f18 @ ( f20 @ c29 @ ( f12 @ c25 @ c26 ) ) @ c23 ) @ c22 ) @ c27 ))]]) ).

thf(3069,plain,
    $false,
    inference(rewrite,[status(thm)],[3047,2129]) ).

thf(3070,plain,
    $false,
    inference(simp,[status(thm)],[3069]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12  % Problem  : SYN632-1 : TPTP v8.2.0. Released v2.5.0.
% 0.15/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.35  % Computer : n029.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Mon May 20 15:27:09 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 1.04/1.03  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.54/1.24  % [INFO] 	 Parsing done (211ms). 
% 1.58/1.26  % [INFO] 	 Running in sequential loop mode. 
% 2.18/1.65  % [INFO] 	 nitpick registered as external prover. 
% 2.18/1.66  % [INFO] 	 Scanning for conjecture ... 
% 2.58/1.83  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 2.86/1.94  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 2.86/1.94  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.86/1.95  % [INFO] 	 Type checking passed. 
% 2.86/1.96  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 57.93/9.84  % [INFO] 	 Killing All external provers ... 
% 57.93/9.87  % Time passed: 9336ms (effective reasoning time: 8586ms)
% 57.93/9.87  % Axioms used in derivation (0): 
% 57.93/9.87  % No. of inferences in proof: 58
% 57.93/9.87  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 9336 ms resp. 8586 ms w/o parsing
% 58.07/10.02  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 58.07/10.02  % [INFO] 	 Killing All external provers ... 
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