%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SET831-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 08:37:04 AM UTC 2026
% Result : Unsatisfiable 1.01s 0.57s
% Output : CNFRefutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 13
% Syntax : Number of formulae : 78 ( 11 unt; 0 def)
% Number of atoms : 203 ( 41 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 210 ( 85 ~; 125 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 100 ( 4 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_0,axiom,
( c_lessequals(v_X,v_Y,tc_set(t_a))
| v_X = c_inter(v_Y,v_Z,t_a) ),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_1,plain,
( c_lessequals(v_X,v_Y,tc_set(t_a))
| v_X = c_inter(v_Y,v_Z,t_a) ),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
cnf(c_2,plain,
( c_lessequals(v_X,v_Y,tc_set(t_a))
| c_inter(v_Y,v_Z,t_a) = v_X ),
inference(copy,[status(thm)],[c_1]) ).
fof(cls_conjecture_1,axiom,
( c_lessequals(v_X,v_Z,tc_set(t_a))
| v_X = c_inter(v_Y,v_Z,t_a) ),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_3,plain,
( c_lessequals(v_X,v_Z,tc_set(t_a))
| v_X = c_inter(v_Y,v_Z,t_a) ),
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
cnf(c_4,plain,
( c_lessequals(v_X,v_Z,tc_set(t_a))
| c_inter(v_Y,v_Z,t_a) = v_X ),
inference(copy,[status(thm)],[c_3]) ).
fof(cls_conjecture_2,axiom,
( v_X != c_inter(v_Y,v_Z,t_a)
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| c_lessequals(v_x,v_Y,tc_set(t_a)) ),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(c_5,plain,
( v_X != c_inter(v_Y,v_Z,t_a)
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| c_lessequals(v_x,v_Y,tc_set(t_a)) ),
inference(clausify,[status(thm)],[cls_conjecture_2]) ).
cnf(c_6,plain,
( c_inter(v_Y,v_Z,t_a) != v_X
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| c_lessequals(v_x,v_Y,tc_set(t_a)) ),
inference(copy,[status(thm)],[c_5]) ).
fof(cls_conjecture_3,axiom,
( v_X != c_inter(v_Y,v_Z,t_a)
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| c_lessequals(v_x,v_Z,tc_set(t_a)) ),
file('theBenchmark.p',cls_conjecture_3) ).
cnf(c_7,plain,
( v_X != c_inter(v_Y,v_Z,t_a)
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| c_lessequals(v_x,v_Z,tc_set(t_a)) ),
inference(clausify,[status(thm)],[cls_conjecture_3]) ).
cnf(c_8,plain,
( c_inter(v_Y,v_Z,t_a) != v_X
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| c_lessequals(v_x,v_Z,tc_set(t_a)) ),
inference(copy,[status(thm)],[c_7]) ).
fof(cls_conjecture_4,axiom,
( v_X != c_inter(v_Y,v_Z,t_a)
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ c_lessequals(v_x,v_X,tc_set(t_a)) ),
file('theBenchmark.p',cls_conjecture_4) ).
cnf(c_9,plain,
( v_X != c_inter(v_Y,v_Z,t_a)
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ c_lessequals(v_x,v_X,tc_set(t_a)) ),
inference(clausify,[status(thm)],[cls_conjecture_4]) ).
cnf(c_10,plain,
( c_inter(v_Y,v_Z,t_a) != v_X
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ c_lessequals(v_x,v_X,tc_set(t_a)) ),
inference(copy,[status(thm)],[c_9]) ).
fof(cls_conjecture_5,axiom,
! [VAR_0] :
( ~ c_lessequals(VAR_0,v_Y,tc_set(t_a))
| ~ c_lessequals(VAR_0,v_Z,tc_set(t_a))
| c_lessequals(VAR_0,v_X,tc_set(t_a))
| v_X = c_inter(v_Y,v_Z,t_a) ),
file('theBenchmark.p',cls_conjecture_5) ).
cnf(c_11,plain,
( ~ c_lessequals(A,v_Y,tc_set(t_a))
| ~ c_lessequals(A,v_Z,tc_set(t_a))
| c_lessequals(A,v_X,tc_set(t_a))
| v_X = c_inter(v_Y,v_Z,t_a) ),
inference(clausify,[status(thm)],[cls_conjecture_5]) ).
cnf(c_12,plain,
( ~ c_lessequals(A,v_Y,tc_set(t_a))
| ~ c_lessequals(A,v_Z,tc_set(t_a))
| c_lessequals(A,v_X,tc_set(t_a))
| c_inter(v_Y,v_Z,t_a) = v_X ),
inference(copy,[status(thm)],[c_11]) ).
fof(cls_Set_OIntE_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( c_in(VAR_0,VAR_2,VAR_3)
| ~ c_in(VAR_0,c_inter(VAR_1,VAR_2,VAR_3),VAR_3) ),
file('theBenchmark.p',cls_Set_OIntE_0) ).
cnf(c_13,plain,
( c_in(A,C,D)
| ~ c_in(A,c_inter(B,C,D),D) ),
inference(clausify,[status(thm)],[cls_Set_OIntE_0]) ).
fof(cls_Set_OIntE_1,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( c_in(VAR_0,VAR_1,VAR_3)
| ~ c_in(VAR_0,c_inter(VAR_1,VAR_2,VAR_3),VAR_3) ),
file('theBenchmark.p',cls_Set_OIntE_1) ).
cnf(c_14,plain,
( c_in(A,B,D)
| ~ c_in(A,c_inter(B,C,D),D) ),
inference(clausify,[status(thm)],[cls_Set_OIntE_1]) ).
fof(cls_Set_OIntI_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( c_in(VAR_0,c_inter(VAR_3,VAR_1,VAR_2),VAR_2)
| ~ c_in(VAR_0,VAR_3,VAR_2)
| ~ c_in(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',cls_Set_OIntI_0) ).
cnf(c_15,plain,
( c_in(A,c_inter(D,B,C),C)
| ~ c_in(A,D,C)
| ~ c_in(A,B,C) ),
inference(clausify,[status(thm)],[cls_Set_OIntI_0]) ).
fof(cls_Set_OsubsetD_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( c_in(VAR_0,VAR_3,VAR_2)
| ~ c_lessequals(VAR_1,VAR_3,tc_set(VAR_2))
| ~ c_in(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',cls_Set_OsubsetD_0) ).
cnf(c_16,plain,
( c_in(A,D,C)
| ~ c_lessequals(B,D,tc_set(C))
| ~ c_in(A,B,C) ),
inference(clausify,[status(thm)],[cls_Set_OsubsetD_0]) ).
fof(cls_Set_OsubsetI_0,axiom,
! [VAR_0,VAR_1,VAR_2] :
( c_lessequals(VAR_0,VAR_1,tc_set(VAR_2))
| c_in(c_Main_OsubsetI__1(VAR_0,VAR_1,VAR_2),VAR_0,VAR_2) ),
file('theBenchmark.p',cls_Set_OsubsetI_0) ).
cnf(c_17,plain,
( c_lessequals(A,B,tc_set(C))
| c_in(c_Main_OsubsetI__1(A,B,C),A,C) ),
inference(clausify,[status(thm)],[cls_Set_OsubsetI_0]) ).
fof(cls_Set_OsubsetI_1,axiom,
! [VAR_0,VAR_1,VAR_2] :
( c_lessequals(VAR_0,VAR_1,tc_set(VAR_2))
| ~ c_in(c_Main_OsubsetI__1(VAR_0,VAR_1,VAR_2),VAR_1,VAR_2) ),
file('theBenchmark.p',cls_Set_OsubsetI_1) ).
cnf(c_18,plain,
( c_lessequals(A,B,tc_set(C))
| ~ c_in(c_Main_OsubsetI__1(A,B,C),B,C) ),
inference(clausify,[status(thm)],[cls_Set_OsubsetI_1]) ).
fof(cls_Set_Osubset__antisym_0,axiom,
! [VAR_0,VAR_1,VAR_2] :
( VAR_1 = VAR_0
| ~ c_lessequals(VAR_1,VAR_0,tc_set(VAR_2))
| ~ c_lessequals(VAR_0,VAR_1,tc_set(VAR_2)) ),
file('theBenchmark.p',cls_Set_Osubset__antisym_0) ).
cnf(c_19,plain,
( B = A
| ~ c_lessequals(B,A,tc_set(C))
| ~ c_lessequals(A,B,tc_set(C)) ),
inference(clausify,[status(thm)],[cls_Set_Osubset__antisym_0]) ).
cnf(c_23,plain,
( c_in(c_Main_OsubsetI__1(A,B,C),D,C)
| ~ c_lessequals(A,D,tc_set(C))
| c_lessequals(A,B,tc_set(C)) ),
inference(resolve,[status(thm)],[c_17,c_16]) ).
cnf(c_26,plain,
( c_in(c_Main_OsubsetI__1(c_inter(A,B,C),D,C),A,C)
| c_lessequals(c_inter(A,B,C),D,tc_set(C)) ),
inference(resolve,[status(thm)],[c_17,c_14]) ).
cnf(c_27,plain,
( c_in(c_Main_OsubsetI__1(c_inter(A,B,C),D,C),B,C)
| c_lessequals(c_inter(A,B,C),D,tc_set(C)) ),
inference(resolve,[status(thm)],[c_17,c_13]) ).
cnf(c_386,plain,
( c_lessequals(A,D,tc_set(C))
| c_in(c_Main_OsubsetI__1(A,D,C),B,C)
| ~ c_lessequals(A,B,tc_set(C)) ),
inference(resolve,[status(thm)],[c_16,c_17]) ).
cnf(c_28,plain,
( c_inter(v_Y,v_Z,t_a) = v_X
| c_lessequals(v_X,A,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_X,A,t_a),v_Z,t_a) ),
inference(resolve,[status(thm)],[c_386,c_4]) ).
cnf(c_387,plain,
( c_lessequals(A,D,tc_set(C))
| c_in(c_Main_OsubsetI__1(A,D,C),B,C)
| ~ c_lessequals(A,B,tc_set(C)) ),
inference(resolve,[status(thm)],[c_16,c_17]) ).
cnf(c_29,plain,
( c_inter(v_Y,v_Z,t_a) = v_X
| c_lessequals(v_X,A,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_X,A,t_a),v_Y,t_a) ),
inference(resolve,[status(thm)],[c_387,c_2]) ).
cnf(c_388,plain,
( c_inter(v_Y,v_Z,t_a) = v_X
| c_lessequals(v_X,A,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_X,A,t_a),c_inter(B,v_Z,t_a),t_a)
| ~ c_in(c_Main_OsubsetI__1(v_X,A,t_a),B,t_a) ),
inference(resolve,[status(thm)],[c_15,c_28]) ).
cnf(c_389,plain,
( c_inter(v_Y,v_Z,t_a) = v_X
| c_lessequals(v_X,A,tc_set(t_a))
| c_inter(v_Y,v_Z,t_a) = v_X
| c_lessequals(v_X,A,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_X,A,t_a),c_inter(v_Y,v_Z,t_a),t_a) ),
inference(resolve,[status(thm)],[c_388,c_29]) ).
cnf(c_390,plain,
( c_inter(v_Y,v_Z,t_a) = v_X
| c_inter(v_Y,v_Z,t_a) = v_X
| c_lessequals(v_X,A,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_X,A,t_a),c_inter(v_Y,v_Z,t_a),t_a) ),
inference(copy,[status(thm)],[c_389]) ).
cnf(c_57,plain,
( c_inter(v_Y,v_Z,t_a) = v_X
| c_lessequals(v_X,A,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_X,A,t_a),c_inter(v_Y,v_Z,t_a),t_a) ),
inference(copy,[status(thm)],[c_390]) ).
cnf(c_391,plain,
( c_lessequals(c_inter(A,B,C),A,tc_set(C))
| c_lessequals(c_inter(A,B,C),A,tc_set(C)) ),
inference(resolve,[status(thm)],[c_26,c_18]) ).
cnf(c_112,plain,
c_lessequals(c_inter(A,B,C),A,tc_set(C)),
inference(copy,[status(thm)],[c_391]) ).
cnf(c_392,plain,
( c_lessequals(c_inter(A,B,C),B,tc_set(C))
| c_lessequals(c_inter(A,B,C),B,tc_set(C)) ),
inference(resolve,[status(thm)],[c_27,c_18]) ).
cnf(c_142,plain,
c_lessequals(c_inter(A,B,C),B,tc_set(C)),
inference(copy,[status(thm)],[c_392]) ).
cnf(c_393,plain,
( ~ c_lessequals(c_inter(A,v_Z,t_a),v_Y,tc_set(t_a))
| c_lessequals(c_inter(A,v_Z,t_a),v_X,tc_set(t_a))
| c_inter(v_Y,v_Z,t_a) = v_X ),
inference(resolve,[status(thm)],[c_12,c_142]) ).
cnf(c_159,plain,
( c_lessequals(c_inter(v_Y,v_Z,t_a),v_X,tc_set(t_a))
| c_inter(v_Y,v_Z,t_a) = v_X ),
inference(resolve,[status(thm)],[c_393,c_112]) ).
cnf(c_394,plain,
( c_inter(v_Y,v_Z,t_a) = v_X
| ~ c_lessequals(v_X,c_inter(v_Y,v_Z,t_a),tc_set(t_a))
| c_inter(v_Y,v_Z,t_a) = v_X ),
inference(resolve,[status(thm)],[c_159,c_19]) ).
cnf(c_184,plain,
( ~ c_lessequals(v_X,c_inter(v_Y,v_Z,t_a),tc_set(t_a))
| c_inter(v_Y,v_Z,t_a) = v_X ),
inference(copy,[status(thm)],[c_394]) ).
cnf(c_395,plain,
( c_lessequals(v_X,c_inter(v_Y,v_Z,t_a),tc_set(t_a))
| c_inter(v_Y,v_Z,t_a) = v_X
| c_lessequals(v_X,c_inter(v_Y,v_Z,t_a),tc_set(t_a)) ),
inference(resolve,[status(thm)],[c_57,c_18]) ).
cnf(c_286,plain,
( c_inter(v_Y,v_Z,t_a) = v_X
| c_lessequals(v_X,c_inter(v_Y,v_Z,t_a),tc_set(t_a)) ),
inference(copy,[status(thm)],[c_395]) ).
cnf(c_396,plain,
( c_inter(v_Y,v_Z,t_a) = v_X
| c_inter(v_Y,v_Z,t_a) = v_X ),
inference(resolve,[status(thm)],[c_286,c_184]) ).
cnf(c_296,plain,
c_inter(v_Y,v_Z,t_a) = v_X,
inference(copy,[status(thm)],[c_396]) ).
cnf(c_397,plain,
( v_X != v_X
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ c_lessequals(v_x,v_X,tc_set(t_a)) ),
inference(paramod,[status(thm)],[c_296,c_10]) ).
cnf(c_299,plain,
( ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ c_lessequals(v_x,v_X,tc_set(t_a)) ),
inference(copy,[status(thm)],[c_397]) ).
cnf(c_398,plain,
( v_X != v_X
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| c_lessequals(v_x,v_Z,tc_set(t_a)) ),
inference(paramod,[status(thm)],[c_296,c_8]) ).
cnf(c_300,plain,
( ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| c_lessequals(v_x,v_Z,tc_set(t_a)) ),
inference(copy,[status(thm)],[c_398]) ).
cnf(c_399,plain,
( v_X != v_X
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| c_lessequals(v_x,v_Y,tc_set(t_a)) ),
inference(paramod,[status(thm)],[c_296,c_6]) ).
cnf(c_301,plain,
( ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| c_lessequals(v_x,v_Y,tc_set(t_a)) ),
inference(copy,[status(thm)],[c_399]) ).
cnf(c_305,plain,
c_lessequals(v_X,v_Y,tc_set(t_a)),
inference(paramod,[status(thm)],[c_296,c_112]) ).
cnf(c_308,plain,
c_lessequals(v_X,v_Z,tc_set(t_a)),
inference(paramod,[status(thm)],[c_296,c_142]) ).
cnf(c_400,plain,
( ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| c_lessequals(v_x,v_Y,tc_set(t_a)) ),
inference(resolve,[status(thm)],[c_308,c_301]) ).
cnf(c_310,plain,
c_lessequals(v_x,v_Y,tc_set(t_a)),
inference(resolve,[status(thm)],[c_305,c_400]) ).
cnf(c_401,plain,
( ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| c_lessequals(v_x,v_Z,tc_set(t_a)) ),
inference(resolve,[status(thm)],[c_308,c_300]) ).
cnf(c_311,plain,
c_lessequals(v_x,v_Z,tc_set(t_a)),
inference(resolve,[status(thm)],[c_305,c_401]) ).
cnf(c_402,plain,
( ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ c_lessequals(v_x,v_X,tc_set(t_a)) ),
inference(resolve,[status(thm)],[c_308,c_299]) ).
cnf(c_312,plain,
~ c_lessequals(v_x,v_X,tc_set(t_a)),
inference(resolve,[status(thm)],[c_305,c_402]) ).
cnf(c_328,plain,
~ c_in(c_Main_OsubsetI__1(v_x,v_X,t_a),v_X,t_a),
inference(resolve,[status(thm)],[c_18,c_312]) ).
cnf(c_335,plain,
( c_in(c_Main_OsubsetI__1(v_x,A,t_a),v_Y,t_a)
| c_lessequals(v_x,A,tc_set(t_a)) ),
inference(resolve,[status(thm)],[c_310,c_23]) ).
cnf(c_339,plain,
( c_in(c_Main_OsubsetI__1(v_x,A,t_a),v_Z,t_a)
| c_lessequals(v_x,A,tc_set(t_a)) ),
inference(resolve,[status(thm)],[c_311,c_23]) ).
cnf(c_403,plain,
( c_lessequals(v_x,A,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_x,A,t_a),c_inter(B,v_Z,t_a),t_a)
| ~ c_in(c_Main_OsubsetI__1(v_x,A,t_a),B,t_a) ),
inference(resolve,[status(thm)],[c_15,c_339]) ).
cnf(c_404,plain,
( c_lessequals(v_x,A,tc_set(t_a))
| c_lessequals(v_x,A,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_x,A,t_a),c_inter(v_Y,v_Z,t_a),t_a) ),
inference(resolve,[status(thm)],[c_403,c_335]) ).
cnf(c_405,plain,
( c_lessequals(v_x,A,tc_set(t_a))
| c_lessequals(v_x,A,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_x,A,t_a),v_X,t_a) ),
inference(paramod,[status(thm)],[c_296,c_404]) ).
cnf(c_384,plain,
( c_lessequals(v_x,A,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_x,A,t_a),v_X,t_a) ),
inference(copy,[status(thm)],[c_405]) ).
cnf(c_406,plain,
c_lessequals(v_x,v_X,tc_set(t_a)),
inference(resolve,[status(thm)],[c_384,c_328]) ).
cnf(c_385,plain,
$false,
inference(resolve,[status(thm)],[c_312,c_406]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET831-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n001.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 08:25:12 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.44 % Process 1362118 was started by sandbox2 on n001,
% 0.17/0.44 % Sat Sep 26 08:25:12 2026
% 0.17/0.44 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.17/0.44
% 0.17/0.44 % From the command line: assign(max_seconds, 300).
% 1.01/0.57
% 1.01/0.57 % Assigning unary symbol tc_set kb_weight 0 and highest precedence (11).
% 1.01/0.57
% 1.01/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.01/0.57
% 1.01/0.57 % Proof 1 at 0.09 (+ 0.03) seconds.
% 1.01/0.57 % Length of proof is 44.
% 1.01/0.57 % Level of proof is 10.
% 1.01/0.57 % Maximum clause weight is 33.000.
% 1.01/0.57 % Given clauses 119.
% 1.01/0.57
% 1.01/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------