%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : COL106-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 06:57:44 AM UTC 2026
% Result : Unsatisfiable 2.01s 0.68s
% Output : CNFRefutation 2.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 12
% Syntax : Number of formulae : 72 ( 28 unt; 0 def)
% Number of atoms : 170 ( 112 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 139 ( 41 ~; 98 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-4 aty)
% Number of variables : 113 ( 22 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_0,axiom,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya),v_xb,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_1,plain,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya),v_xb,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(cls_conjecture_1,axiom,
! [VAR_0] :
( ~ c_in(c_Pair(v_x,VAR_0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_xb,VAR_0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_2,plain,
( ~ c_in(c_Pair(v_x,A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_xb,A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
fof(cls_Comb_OAp__parcontractE_0,axiom,
! [VAR_0,VAR_1,VAR_2] :
( VAR_2 = c_Comb_Ocomb_Oop_A_D_D(v_sko__uTI(VAR_0,VAR_1,VAR_2),v_sko__uTH(VAR_0,VAR_1,VAR_2))
| VAR_0 = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(VAR_0,VAR_1,VAR_2)),v_sko__uTG(VAR_0,VAR_1,VAR_2))
| VAR_0 = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,VAR_2)
| VAR_2 = c_Comb_Ocomb_Oop_A_D_D(VAR_0,VAR_1)
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(VAR_0,VAR_1),VAR_2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('theBenchmark.p',cls_Comb_OAp__parcontractE_0) ).
cnf(c_3,plain,
( C = c_Comb_Ocomb_Oop_A_D_D(v_sko__uTI(A,B,C),v_sko__uTH(A,B,C))
| A = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(A,B,C)),v_sko__uTG(A,B,C))
| A = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,C)
| C = c_Comb_Ocomb_Oop_A_D_D(A,B)
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(A,B),C,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(clausify,[status(thm)],[cls_Comb_OAp__parcontractE_0]) ).
cnf(c_422,plain,
( C = c_Comb_Ocomb_Oop_A_D_D(v_sko__uTI(A,B,C),v_sko__uTH(A,B,C))
| A = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(A,B,C)),v_sko__uTG(A,B,C))
| A = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,C)
| c_Comb_Ocomb_Oop_A_D_D(A,B) = C
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(A,B),C,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(copy,[status(thm)],[c_3]) ).
cnf(c_423,plain,
( C = c_Comb_Ocomb_Oop_A_D_D(v_sko__uTI(A,B,C),v_sko__uTH(A,B,C))
| A = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(A,B,C)),v_sko__uTG(A,B,C))
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,C) = A
| c_Comb_Ocomb_Oop_A_D_D(A,B) = C
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(A,B),C,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(copy,[status(thm)],[c_422]) ).
cnf(c_424,plain,
( C = c_Comb_Ocomb_Oop_A_D_D(v_sko__uTI(A,B,C),v_sko__uTH(A,B,C))
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(A,B,C)),v_sko__uTG(A,B,C)) = A
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,C) = A
| c_Comb_Ocomb_Oop_A_D_D(A,B) = C
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(A,B),C,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(copy,[status(thm)],[c_423]) ).
cnf(c_4,plain,
( c_Comb_Ocomb_Oop_A_D_D(v_sko__uTI(A,B,C),v_sko__uTH(A,B,C)) = C
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(A,B,C)),v_sko__uTG(A,B,C)) = A
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,C) = A
| c_Comb_Ocomb_Oop_A_D_D(A,B) = C
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(A,B),C,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(copy,[status(thm)],[c_424]) ).
fof(cls_Comb_OAp__parcontractE_2,axiom,
! [VAR_0,VAR_1,VAR_2] :
( VAR_0 = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(VAR_0,VAR_1,VAR_2)),v_sko__uTG(VAR_0,VAR_1,VAR_2))
| VAR_0 = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,VAR_2)
| VAR_2 = c_Comb_Ocomb_Oop_A_D_D(VAR_0,VAR_1)
| c_in(c_Pair(VAR_0,v_sko__uTI(VAR_0,VAR_1,VAR_2),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(VAR_0,VAR_1),VAR_2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('theBenchmark.p',cls_Comb_OAp__parcontractE_2) ).
cnf(c_5,plain,
( A = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(A,B,C)),v_sko__uTG(A,B,C))
| A = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,C)
| C = c_Comb_Ocomb_Oop_A_D_D(A,B)
| c_in(c_Pair(A,v_sko__uTI(A,B,C),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(A,B),C,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(clausify,[status(thm)],[cls_Comb_OAp__parcontractE_2]) ).
cnf(c_425,plain,
( A = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(A,B,C)),v_sko__uTG(A,B,C))
| A = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,C)
| c_Comb_Ocomb_Oop_A_D_D(A,B) = C
| c_in(c_Pair(A,v_sko__uTI(A,B,C),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(A,B),C,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(copy,[status(thm)],[c_5]) ).
cnf(c_426,plain,
( A = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(A,B,C)),v_sko__uTG(A,B,C))
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,C) = A
| c_Comb_Ocomb_Oop_A_D_D(A,B) = C
| c_in(c_Pair(A,v_sko__uTI(A,B,C),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(A,B),C,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(copy,[status(thm)],[c_425]) ).
cnf(c_6,plain,
( c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(A,B,C)),v_sko__uTG(A,B,C)) = A
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,C) = A
| c_Comb_Ocomb_Oop_A_D_D(A,B) = C
| c_in(c_Pair(A,v_sko__uTI(A,B,C),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(A,B),C,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(copy,[status(thm)],[c_426]) ).
fof(cls_Comb_Ocomb_Odistinct__3__iff1_0,axiom,
! [VAR_0,VAR_1] : c_Comb_Ocomb_OK != c_Comb_Ocomb_Oop_A_D_D(VAR_0,VAR_1),
file('theBenchmark.p',cls_Comb_Ocomb_Odistinct__3__iff1_0) ).
cnf(c_7,plain,
c_Comb_Ocomb_OK != c_Comb_Ocomb_Oop_A_D_D(A,B),
inference(clausify,[status(thm)],[cls_Comb_Ocomb_Odistinct__3__iff1_0]) ).
cnf(c_8,plain,
c_Comb_Ocomb_Oop_A_D_D(A,B) != c_Comb_Ocomb_OK,
inference(copy,[status(thm)],[c_7]) ).
fof(cls_Comb_Ocomb_Oinject__iff1_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( VAR_0 = VAR_2
| c_Comb_Ocomb_Oop_A_D_D(VAR_0,VAR_1) != c_Comb_Ocomb_Oop_A_D_D(VAR_2,VAR_3) ),
file('theBenchmark.p',cls_Comb_Ocomb_Oinject__iff1_0) ).
cnf(c_9,plain,
( A = C
| c_Comb_Ocomb_Oop_A_D_D(A,B) != c_Comb_Ocomb_Oop_A_D_D(C,D) ),
inference(clausify,[status(thm)],[cls_Comb_Ocomb_Oinject__iff1_0]) ).
fof(cls_Comb_Ocomb_Oinject__iff1_1,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( VAR_1 = VAR_3
| c_Comb_Ocomb_Oop_A_D_D(VAR_0,VAR_1) != c_Comb_Ocomb_Oop_A_D_D(VAR_2,VAR_3) ),
file('theBenchmark.p',cls_Comb_Ocomb_Oinject__iff1_1) ).
cnf(c_10,plain,
( B = D
| c_Comb_Ocomb_Oop_A_D_D(A,B) != c_Comb_Ocomb_Oop_A_D_D(C,D) ),
inference(clausify,[status(thm)],[cls_Comb_Ocomb_Oinject__iff1_1]) ).
fof(cls_Comb_OK1__parcontractD__dest_0,axiom,
! [VAR_0,VAR_1] :
( VAR_1 = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_sko__uTE(VAR_0,VAR_1))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,VAR_0),VAR_1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('theBenchmark.p',cls_Comb_OK1__parcontractD__dest_0) ).
cnf(c_11,plain,
( B = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_sko__uTE(A,B))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,A),B,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(clausify,[status(thm)],[cls_Comb_OK1__parcontractD__dest_0]) ).
cnf(c_12,plain,
( c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_sko__uTE(A,B)) = B
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,A),B,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(copy,[status(thm)],[c_11]) ).
fof(cls_Comb_OK1__parcontractD__dest_1,axiom,
! [VAR_0,VAR_1] :
( c_in(c_Pair(VAR_0,v_sko__uTE(VAR_0,VAR_1),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,VAR_0),VAR_1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('theBenchmark.p',cls_Comb_OK1__parcontractD__dest_1) ).
cnf(c_13,plain,
( c_in(c_Pair(A,v_sko__uTE(A,B),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,A),B,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(clausify,[status(thm)],[cls_Comb_OK1__parcontractD__dest_1]) ).
fof(cls_Comb_Oparcontract_Ointros__1_0,axiom,
! [VAR_0] : c_in(c_Pair(VAR_0,VAR_0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('theBenchmark.p',cls_Comb_Oparcontract_Ointros__1_0) ).
cnf(c_14,plain,
c_in(c_Pair(A,A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(clausify,[status(thm)],[cls_Comb_Oparcontract_Ointros__1_0]) ).
fof(cls_Comb_Oparcontract_Ointros__2_0,axiom,
! [VAR_0,VAR_1] : c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,VAR_0),VAR_1),VAR_0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('theBenchmark.p',cls_Comb_Oparcontract_Ointros__2_0) ).
cnf(c_15,plain,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,A),B),A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(clausify,[status(thm)],[cls_Comb_Oparcontract_Ointros__2_0]) ).
fof(cls_Comb_Oparcontract_Ointros__4_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(VAR_2,VAR_0),c_Comb_Ocomb_Oop_A_D_D(VAR_3,VAR_1),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(VAR_2,VAR_3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(VAR_0,VAR_1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('theBenchmark.p',cls_Comb_Oparcontract_Ointros__4_0) ).
cnf(c_16,plain,
( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(C,A),c_Comb_Ocomb_Oop_A_D_D(D,B),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(C,D,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(A,B,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(clausify,[status(thm)],[cls_Comb_Oparcontract_Ointros__4_0]) ).
cnf(c_19,plain,
( c_Comb_Ocomb_Oop_A_D_D(v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb),v_sko__uTH(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)) = v_xb
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)),v_sko__uTG(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb ),
inference(resolve,[status(thm)],[c_4,c_1]) ).
cnf(c_20,plain,
( c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_sko__uTF(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)),v_sko__uTG(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb
| c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(resolve,[status(thm)],[c_6,c_1]) ).
cnf(c_22,plain,
c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(A,B),C) != c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,D),
inference(resolve,[status(thm)],[c_9,c_8]) ).
cnf(c_23,plain,
( c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb
| c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(resolve,[status(thm)],[c_22,c_20]) ).
cnf(c_24,plain,
( c_Comb_Ocomb_Oop_A_D_D(v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb),v_sko__uTH(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)) = v_xb
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb ),
inference(resolve,[status(thm)],[c_22,c_19]) ).
cnf(c_27,plain,
c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_sko__uTE(A,c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,A))) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,A),
inference(resolve,[status(thm)],[c_14,c_12]) ).
cnf(c_28,plain,
~ c_in(c_Pair(v_xb,v_x,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(resolve,[status(thm)],[c_14,c_2]) ).
cnf(c_29,plain,
~ c_in(c_Pair(v_x,v_xb,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(resolve,[status(thm)],[c_14,c_2]) ).
cnf(c_30,plain,
( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(A,c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,C),D)),c_Comb_Ocomb_Oop_A_D_D(B,C),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(A,B,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(resolve,[status(thm)],[c_16,c_15]) ).
cnf(c_32,plain,
( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(A,c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya)),c_Comb_Ocomb_Oop_A_D_D(B,v_xb),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(A,B,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(resolve,[status(thm)],[c_16,c_1]) ).
cnf(c_44,plain,
( c_in(c_Pair(v_x,v_sko__uTE(v_x,v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb ),
inference(resolve,[status(thm)],[c_23,c_13]) ).
cnf(c_45,plain,
( c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_sko__uTE(v_x,v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb))) = v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb ),
inference(resolve,[status(thm)],[c_23,c_12]) ).
cnf(c_52,plain,
v_sko__uTE(A,c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,A)) = A,
inference(resolve,[status(thm)],[c_27,c_10]) ).
cnf(c_427,plain,
( B = v_sko__uTE(C,c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,C))
| c_Comb_Ocomb_Oop_A_D_D(A,B) != c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,C) ),
inference(paramod,[status(thm)],[c_27,c_10]) ).
cnf(c_428,plain,
( B = C
| c_Comb_Ocomb_Oop_A_D_D(A,B) != c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,C) ),
inference(paramod,[status(thm)],[c_52,c_427]) ).
cnf(c_55,plain,
( C = A
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,A) != c_Comb_Ocomb_Oop_A_D_D(B,C) ),
inference(copy,[status(thm)],[c_428]) ).
cnf(c_74,plain,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(A,c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,B),C)),c_Comb_Ocomb_Oop_A_D_D(A,B),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(resolve,[status(thm)],[c_30,c_14]) ).
cnf(c_78,plain,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(A,c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya)),c_Comb_Ocomb_Oop_A_D_D(A,v_xb),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(resolve,[status(thm)],[c_32,c_14]) ).
cnf(c_166,plain,
c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_sko__uTE(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,A),B),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,A))) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,A),
inference(resolve,[status(thm)],[c_74,c_12]) ).
cnf(c_429,plain,
A = v_sko__uTE(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,A),B),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,A)),
inference(resolve,[status(thm)],[c_166,c_55]) ).
cnf(c_168,plain,
v_sko__uTE(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,A),B),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,A)) = A,
inference(copy,[status(thm)],[c_429]) ).
cnf(c_181,plain,
c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_sko__uTE(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb))) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb),
inference(resolve,[status(thm)],[c_78,c_12]) ).
cnf(c_193,plain,
( ~ c_in(c_Pair(v_xb,v_sko__uTE(v_x,v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb ),
inference(resolve,[status(thm)],[c_44,c_2]) ).
cnf(c_200,plain,
( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb),A),v_sko__uTE(v_x,v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb ),
inference(paramod,[status(thm)],[c_45,c_15]) ).
cnf(c_430,plain,
v_xb = v_sko__uTE(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb)),
inference(resolve,[status(thm)],[c_181,c_55]) ).
cnf(c_271,plain,
v_sko__uTE(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb)) = v_xb,
inference(copy,[status(thm)],[c_430]) ).
cnf(c_431,plain,
( c_in(c_Pair(v_xb,v_sko__uTE(v_x,v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb ),
inference(paramod,[status(thm)],[c_24,c_200]) ).
cnf(c_432,plain,
( c_in(c_Pair(v_xb,v_sko__uTE(v_x,v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb ),
inference(copy,[status(thm)],[c_431]) ).
cnf(c_404,plain,
( c_in(c_Pair(v_xb,v_sko__uTE(v_x,v_sko__uTI(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya,v_xb)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb ),
inference(copy,[status(thm)],[c_432]) ).
cnf(c_433,plain,
( c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb ),
inference(resolve,[status(thm)],[c_404,c_193]) ).
cnf(c_434,plain,
( c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb ),
inference(copy,[status(thm)],[c_433]) ).
cnf(c_412,plain,
( c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya) = v_xb ),
inference(copy,[status(thm)],[c_434]) ).
cnf(c_435,plain,
( c_in(c_Pair(v_xb,v_x,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x) ),
inference(paramod,[status(thm)],[c_412,c_15]) ).
cnf(c_418,plain,
c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_xb) = c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),
inference(resolve,[status(thm)],[c_28,c_435]) ).
cnf(c_436,plain,
v_sko__uTE(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x)) = v_xb,
inference(paramod,[status(thm)],[c_418,c_271]) ).
cnf(c_437,plain,
v_x = v_xb,
inference(paramod,[status(thm)],[c_168,c_436]) ).
cnf(c_419,plain,
v_xb = v_x,
inference(copy,[status(thm)],[c_437]) ).
cnf(c_438,plain,
~ c_in(c_Pair(v_x,v_x,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(paramod,[status(thm)],[c_419,c_29]) ).
cnf(c_421,plain,
$false,
inference(resolve,[status(thm)],[c_14,c_438]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL106-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 23:15:40 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 2364197 was started by sandbox on n006,
% 0.08/0.36 % Sat Sep 26 23:15:40 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.36
% 0.08/0.36 % From the command line: assign(max_seconds, 300).
% 2.01/0.68
% 2.01/0.68 % SZS status Unsatisfiable for theBenchmark
% 2.01/0.68
% 2.01/0.68 % Proof 1 at 0.28 (+ 0.02) seconds.
% 2.01/0.68 % Length of proof is 43.
% 2.01/0.68 % Level of proof is 10.
% 2.01/0.68 % Maximum clause weight is 85.000.
% 2.01/0.68 % Given clauses 165.
% 2.01/0.68
% 2.01/0.68 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------