%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SET853-2 : 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 08:37:09 AM UTC 2026
% Result : Unsatisfiable 0.09s 6.43s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 58 ( 18 unt; 0 def)
% Number of atoms : 152 ( 29 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 150 ( 56 ~; 94 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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; 4 con; 0-3 aty)
% Number of variables : 57 ( 2 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_0,axiom,
c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_1,plain,
c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(cls_conjecture_1,axiom,
c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_2,plain,
c_in(v_xa,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
fof(cls_conjecture_2,axiom,
c_lessequals(v_xa,c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(c_3,plain,
c_lessequals(v_xa,c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
inference(clausify,[status(thm)],[cls_conjecture_2]) ).
fof(cls_conjecture_3,axiom,
v_xa != c_Zorn_Osucc(v_S,v_x,t_a),
file('theBenchmark.p',cls_conjecture_3) ).
cnf(c_4,plain,
v_xa != c_Zorn_Osucc(v_S,v_x,t_a),
inference(clausify,[status(thm)],[cls_conjecture_3]) ).
cnf(c_5,plain,
c_Zorn_Osucc(v_S,v_x,t_a) != v_xa,
inference(copy,[status(thm)],[c_4]) ).
fof(cls_conjecture_4,axiom,
~ c_lessequals(c_Zorn_Osucc(v_S,v_xa,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
file('theBenchmark.p',cls_conjecture_4) ).
cnf(c_6,plain,
~ c_lessequals(c_Zorn_Osucc(v_S,v_xa,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
inference(clausify,[status(thm)],[cls_conjecture_4]) ).
fof(cls_conjecture_5,axiom,
! [VAR_0] :
( ~ c_in(VAR_0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(VAR_0,v_x,tc_set(tc_set(t_a)))
| VAR_0 = v_x
| c_lessequals(c_Zorn_Osucc(v_S,VAR_0,t_a),v_x,tc_set(tc_set(t_a))) ),
file('theBenchmark.p',cls_conjecture_5) ).
cnf(c_7,plain,
( ~ c_in(A,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(A,v_x,tc_set(tc_set(t_a)))
| A = v_x
| c_lessequals(c_Zorn_Osucc(v_S,A,t_a),v_x,tc_set(tc_set(t_a))) ),
inference(clausify,[status(thm)],[cls_conjecture_5]) ).
cnf(c_8,plain,
( ~ c_in(A,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(A,v_x,tc_set(tc_set(t_a)))
| v_x = A
| c_lessequals(c_Zorn_Osucc(v_S,A,t_a),v_x,tc_set(tc_set(t_a))) ),
inference(copy,[status(thm)],[c_7]) ).
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_9,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]) ).
fof(cls_Set_Osubset__refl_0,axiom,
! [VAR_0,VAR_1] : c_lessequals(VAR_0,VAR_0,tc_set(VAR_1)),
file('theBenchmark.p',cls_Set_Osubset__refl_0) ).
cnf(c_10,plain,
c_lessequals(A,A,tc_set(B)),
inference(clausify,[status(thm)],[cls_Set_Osubset__refl_0]) ).
fof(cls_Zorn_OTFin__linear__lemma1_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( c_lessequals(c_Zorn_Osucc(VAR_1,VAR_0,VAR_2),VAR_3,tc_set(tc_set(VAR_2)))
| c_lessequals(VAR_3,VAR_0,tc_set(tc_set(VAR_2)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(VAR_1,VAR_0,VAR_2),c_Zorn_OTFin(VAR_1,VAR_2),tc_set(tc_set(VAR_2)))
| ~ c_in(VAR_3,c_Zorn_OTFin(VAR_1,VAR_2),tc_set(tc_set(VAR_2)))
| ~ c_in(VAR_0,c_Zorn_OTFin(VAR_1,VAR_2),tc_set(tc_set(VAR_2))) ),
file('theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_0) ).
cnf(c_11,plain,
( c_lessequals(c_Zorn_Osucc(B,A,C),D,tc_set(tc_set(C)))
| c_lessequals(D,A,tc_set(tc_set(C)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(B,A,C),c_Zorn_OTFin(B,C),tc_set(tc_set(C)))
| ~ c_in(D,c_Zorn_OTFin(B,C),tc_set(tc_set(C)))
| ~ c_in(A,c_Zorn_OTFin(B,C),tc_set(tc_set(C))) ),
inference(clausify,[status(thm)],[cls_Zorn_OTFin__linear__lemma1_0]) ).
fof(cls_Zorn_OTFin__linear__lemma1_1,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( c_lessequals(c_Zorn_Osucc(VAR_1,VAR_0,VAR_2),VAR_3,tc_set(tc_set(VAR_2)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(VAR_1,VAR_0,VAR_2),VAR_0,tc_set(tc_set(VAR_2)))
| c_lessequals(VAR_3,VAR_0,tc_set(tc_set(VAR_2)))
| ~ c_in(VAR_3,c_Zorn_OTFin(VAR_1,VAR_2),tc_set(tc_set(VAR_2)))
| ~ c_in(VAR_0,c_Zorn_OTFin(VAR_1,VAR_2),tc_set(tc_set(VAR_2))) ),
file('theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_1) ).
cnf(c_12,plain,
( c_lessequals(c_Zorn_Osucc(B,A,C),D,tc_set(tc_set(C)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(B,A,C),A,tc_set(tc_set(C)))
| c_lessequals(D,A,tc_set(tc_set(C)))
| ~ c_in(D,c_Zorn_OTFin(B,C),tc_set(tc_set(C)))
| ~ c_in(A,c_Zorn_OTFin(B,C),tc_set(tc_set(C))) ),
inference(clausify,[status(thm)],[cls_Zorn_OTFin__linear__lemma1_1]) ).
fof(cls_Zorn_OTFin__linear__lemma1_2,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( c_lessequals(c_Zorn_Osucc(VAR_1,VAR_0,VAR_2),VAR_3,tc_set(tc_set(VAR_2)))
| c_lessequals(VAR_3,VAR_0,tc_set(tc_set(VAR_2)))
| c_Zorn_OTFin__linear__lemma1__1(VAR_1,VAR_0,VAR_2) != VAR_0
| ~ c_in(VAR_3,c_Zorn_OTFin(VAR_1,VAR_2),tc_set(tc_set(VAR_2)))
| ~ c_in(VAR_0,c_Zorn_OTFin(VAR_1,VAR_2),tc_set(tc_set(VAR_2))) ),
file('theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_2) ).
cnf(c_13,plain,
( c_lessequals(c_Zorn_Osucc(B,A,C),D,tc_set(tc_set(C)))
| c_lessequals(D,A,tc_set(tc_set(C)))
| c_Zorn_OTFin__linear__lemma1__1(B,A,C) != A
| ~ c_in(D,c_Zorn_OTFin(B,C),tc_set(tc_set(C)))
| ~ c_in(A,c_Zorn_OTFin(B,C),tc_set(tc_set(C))) ),
inference(clausify,[status(thm)],[cls_Zorn_OTFin__linear__lemma1_2]) ).
fof(cls_Zorn_OTFin__linear__lemma1_3,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( c_lessequals(c_Zorn_Osucc(VAR_1,VAR_0,VAR_2),VAR_3,tc_set(tc_set(VAR_2)))
| c_lessequals(VAR_3,VAR_0,tc_set(tc_set(VAR_2)))
| ~ c_lessequals(c_Zorn_Osucc(VAR_1,c_Zorn_OTFin__linear__lemma1__1(VAR_1,VAR_0,VAR_2),VAR_2),VAR_0,tc_set(tc_set(VAR_2)))
| ~ c_in(VAR_3,c_Zorn_OTFin(VAR_1,VAR_2),tc_set(tc_set(VAR_2)))
| ~ c_in(VAR_0,c_Zorn_OTFin(VAR_1,VAR_2),tc_set(tc_set(VAR_2))) ),
file('theBenchmark.p',cls_Zorn_OTFin__linear__lemma1_3) ).
cnf(c_14,plain,
( c_lessequals(c_Zorn_Osucc(B,A,C),D,tc_set(tc_set(C)))
| c_lessequals(D,A,tc_set(tc_set(C)))
| ~ c_lessequals(c_Zorn_Osucc(B,c_Zorn_OTFin__linear__lemma1__1(B,A,C),C),A,tc_set(tc_set(C)))
| ~ c_in(D,c_Zorn_OTFin(B,C),tc_set(tc_set(C)))
| ~ c_in(A,c_Zorn_OTFin(B,C),tc_set(tc_set(C))) ),
inference(clausify,[status(thm)],[cls_Zorn_OTFin__linear__lemma1_3]) ).
fof(cls_Zorn_Osucc__trans_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( c_lessequals(VAR_0,c_Zorn_Osucc(VAR_3,VAR_1,VAR_2),tc_set(tc_set(VAR_2)))
| ~ c_lessequals(VAR_0,VAR_1,tc_set(tc_set(VAR_2))) ),
file('theBenchmark.p',cls_Zorn_Osucc__trans_0) ).
cnf(c_15,plain,
( c_lessequals(A,c_Zorn_Osucc(D,B,C),tc_set(tc_set(C)))
| ~ c_lessequals(A,B,tc_set(tc_set(C))) ),
inference(clausify,[status(thm)],[cls_Zorn_Osucc__trans_0]) ).
cnf(c_155,plain,
( ~ c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| v_x = v_xa
| c_lessequals(c_Zorn_Osucc(v_S,v_xa,t_a),v_x,tc_set(tc_set(t_a))) ),
inference(resolve,[status(thm)],[c_8,c_2]) ).
cnf(c_17,plain,
( ~ c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| v_xa = v_x
| c_lessequals(c_Zorn_Osucc(v_S,v_xa,t_a),v_x,tc_set(tc_set(t_a))) ),
inference(copy,[status(thm)],[c_155]) ).
cnf(c_156,plain,
( c_Zorn_Osucc(v_S,v_x,t_a) = v_xa
| ~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a))) ),
inference(resolve,[status(thm)],[c_9,c_3]) ).
cnf(c_18,plain,
~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a))),
inference(resolve,[status(thm)],[c_5,c_156]) ).
cnf(c_20,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),A,tc_set(tc_set(t_a)))
| c_lessequals(A,v_x,tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(A,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolve,[status(thm)],[c_11,c_1]) ).
cnf(c_24,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),A,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a)))
| c_lessequals(A,v_x,tc_set(tc_set(t_a)))
| ~ c_in(A,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolve,[status(thm)],[c_12,c_1]) ).
cnf(c_30,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),A,tc_set(tc_set(t_a)))
| c_lessequals(A,v_x,tc_set(tc_set(t_a)))
| c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) != v_x
| ~ c_in(A,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolve,[status(thm)],[c_13,c_1]) ).
cnf(c_34,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),A,tc_set(tc_set(t_a)))
| c_lessequals(A,v_x,tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),t_a),v_x,tc_set(tc_set(t_a)))
| ~ c_in(A,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolve,[status(thm)],[c_14,c_1]) ).
cnf(c_39,plain,
~ c_lessequals(c_Zorn_Osucc(v_S,v_xa,t_a),v_x,tc_set(tc_set(t_a))),
inference(resolve,[status(thm)],[c_15,c_6]) ).
cnf(c_40,plain,
( ~ c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| v_xa = v_x ),
inference(resolve,[status(thm)],[c_39,c_17]) ).
cnf(c_157,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a)))
| c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolve,[status(thm)],[c_20,c_2]) ).
cnf(c_42,plain,
( c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolve,[status(thm)],[c_18,c_157]) ).
cnf(c_158,plain,
( ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a)))
| v_x = c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a)
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),t_a),v_x,tc_set(tc_set(t_a)))
| c_lessequals(v_xa,v_x,tc_set(tc_set(t_a))) ),
inference(resolve,[status(thm)],[c_42,c_8]) ).
cnf(c_79,plain,
( ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a)))
| c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) = v_x
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),t_a),v_x,tc_set(tc_set(t_a)))
| c_lessequals(v_xa,v_x,tc_set(tc_set(t_a))) ),
inference(copy,[status(thm)],[c_158]) ).
cnf(c_159,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a)))
| c_lessequals(v_xa,v_x,tc_set(tc_set(t_a))) ),
inference(resolve,[status(thm)],[c_24,c_2]) ).
cnf(c_88,plain,
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a)))
| c_lessequals(v_xa,v_x,tc_set(tc_set(t_a))) ),
inference(resolve,[status(thm)],[c_18,c_159]) ).
cnf(c_160,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a)))
| c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) != v_x ),
inference(resolve,[status(thm)],[c_30,c_2]) ).
cnf(c_108,plain,
( c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) != v_x ),
inference(resolve,[status(thm)],[c_18,c_160]) ).
cnf(c_161,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_xa,tc_set(tc_set(t_a)))
| c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),t_a),v_x,tc_set(tc_set(t_a))) ),
inference(resolve,[status(thm)],[c_34,c_2]) ).
cnf(c_120,plain,
( c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),t_a),v_x,tc_set(tc_set(t_a))) ),
inference(resolve,[status(thm)],[c_18,c_161]) ).
cnf(c_162,plain,
( c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) = v_x
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),t_a),v_x,tc_set(tc_set(t_a)))
| c_lessequals(v_xa,v_x,tc_set(tc_set(t_a))) ),
inference(resolve,[status(thm)],[c_79,c_88]) ).
cnf(c_146,plain,
( c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) = v_x
| c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),t_a),v_x,tc_set(tc_set(t_a)))
| c_lessequals(v_xa,v_x,tc_set(tc_set(t_a))) ),
inference(copy,[status(thm)],[c_162]) ).
cnf(c_163,plain,
( c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) = v_x
| c_lessequals(v_xa,v_x,tc_set(tc_set(t_a))) ),
inference(resolve,[status(thm)],[c_146,c_120]) ).
cnf(c_147,plain,
( c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) = v_x
| c_lessequals(v_xa,v_x,tc_set(tc_set(t_a))) ),
inference(copy,[status(thm)],[c_163]) ).
cnf(c_148,plain,
( v_xa = v_x
| c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a) = v_x ),
inference(resolve,[status(thm)],[c_147,c_40]) ).
cnf(c_150,plain,
( c_lessequals(v_xa,v_x,tc_set(tc_set(t_a)))
| v_xa = v_x ),
inference(resolve,[status(thm)],[c_148,c_108]) ).
cnf(c_164,plain,
( v_xa = v_x
| v_xa = v_x ),
inference(resolve,[status(thm)],[c_150,c_40]) ).
cnf(c_152,plain,
v_xa = v_x,
inference(copy,[status(thm)],[c_164]) ).
cnf(c_165,plain,
~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
inference(paramod,[status(thm)],[c_152,c_6]) ).
cnf(c_154,plain,
$false,
inference(resolve,[status(thm)],[c_10,c_165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET853-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/6.37 % Computer : n006.cluster.edu
% 0.09/6.37 % Model : x86_64 x86_64
% 0.09/6.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/6.37 % Memory : 8046.5625MB
% 0.09/6.37 % OS : Linux 6.8.0-71-generic
% 0.09/6.37 % CPULimit : 300
% 0.09/6.37 % WCLimit : 300
% 0.09/6.37 % DateTime : Sat Sep 26 08:21:48 UTC 2026
% 0.09/6.38 % CPUTime :
% 0.09/6.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/6.38 % Process 807421 was started by sandbox on n006,
% 0.09/6.38 % Sat Sep 26 08:21:48 2026
% 0.09/6.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/6.38
% 0.09/6.38 % From the command line: assign(max_seconds, 300).
% 0.09/6.43
% 0.09/6.43 % SZS status Unsatisfiable for theBenchmark
% 0.09/6.43
% 0.09/6.43 % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.09/6.43 % Length of proof is 34.
% 0.09/6.43 % Level of proof is 10.
% 0.09/6.43 % Maximum clause weight is 68.000.
% 0.09/6.43 % Given clauses 78.
% 0.09/6.43
% 0.09/6.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------