%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SET852-2 : TPTP v9.2.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n014.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 5 05:08:48 PM UTC 2026
% Result : Unsatisfiable 1.15s 1.88s
% Output : CNFRefutation 1.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 15 ( 5 unt; 10 nHn; 11 RR)
% Number of literals : 35 ( 0 equ; 10 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 29 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_4,negated_conjecture,
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X1,tc_set(tc_set(t_a)))
| c_lessequals(X1,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X1,v_Y,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_Zorn_OUnion__lemma0_0,axiom,
( c_in(c_Zorn_OUnion__lemma0__1(X1,X2,X3,X4),X3,tc_set(X4))
| c_lessequals(X2,c_Union(X3,X4),tc_set(X4))
| c_lessequals(c_Union(X3,X4),X1,tc_set(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OUnion__lemma0_0) ).
cnf(cls_Zorn_OUnion__lemma0_2,axiom,
( c_lessequals(X1,c_Union(X3,X4),tc_set(X4))
| c_lessequals(c_Union(X3,X4),X2,tc_set(X4))
| ~ c_lessequals(X1,c_Zorn_OUnion__lemma0__1(X2,X1,X3,X4),tc_set(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OUnion__lemma0_2) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Zorn_OUnion__lemma0_1,axiom,
( c_lessequals(X2,c_Union(X3,X4),tc_set(X4))
| c_lessequals(c_Union(X3,X4),X1,tc_set(X4))
| ~ c_lessequals(c_Zorn_OUnion__lemma0__1(X1,X2,X3,X4),X1,tc_set(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OUnion__lemma0_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c_0_6,negated_conjecture,
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X1,tc_set(tc_set(t_a)))
| c_lessequals(X1,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X1,v_Y,tc_set(tc_set(t_a))) ),
cls_conjecture_4 ).
cnf(c_0_7,axiom,
( c_in(c_Zorn_OUnion__lemma0__1(X1,X2,X3,X4),X3,tc_set(X4))
| c_lessequals(X2,c_Union(X3,X4),tc_set(X4))
| c_lessequals(c_Union(X3,X4),X1,tc_set(X4)) ),
cls_Zorn_OUnion__lemma0_0 ).
cnf(c_0_8,axiom,
( c_lessequals(X1,c_Union(X3,X4),tc_set(X4))
| c_lessequals(c_Union(X3,X4),X2,tc_set(X4))
| ~ c_lessequals(X1,c_Zorn_OUnion__lemma0__1(X2,X1,X3,X4),tc_set(X4)) ),
cls_Zorn_OUnion__lemma0_2 ).
cnf(c_0_9,negated_conjecture,
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_OUnion__lemma0__1(X1,X2,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OUnion__lemma0__1(X1,X2,v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a)))
| c_lessequals(X2,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
cls_conjecture_3 ).
cnf(c_0_11,axiom,
( c_lessequals(X2,c_Union(X3,X4),tc_set(X4))
| c_lessequals(c_Union(X3,X4),X1,tc_set(X4))
| ~ c_lessequals(c_Zorn_OUnion__lemma0__1(X1,X2,X3,X4),X1,tc_set(X4)) ),
cls_Zorn_OUnion__lemma0_1 ).
cnf(c_0_12,negated_conjecture,
( c_lessequals(c_Zorn_OUnion__lemma0__1(X1,c_Zorn_Osucc(v_S,v_m,t_a),v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X1,tc_set(tc_set(t_a))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
cnf(c_0_13,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
cls_conjecture_2 ).
cnf(c_0_14,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_10]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.22 % Problem : SET852-2 : TPTP v9.2.1. Released v3.2.0.
% 0.03/0.22 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.12/0.46 % Computer : n014.cluster.edu
% 0.12/0.46 % Model : x86_64 x86_64
% 0.12/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.46 % Memory : 8042.1875MB
% 0.12/0.46 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.46 % CPULimit : 300
% 0.12/0.46 % WCLimit : 300
% 0.12/0.46 % DateTime : Tue May 5 02:37:52 EDT 2026
% 0.12/0.46 % CPUTime :
% 0.12/0.47 % start to proof: theBenchmark
% 1.15/1.88 % Version : CSE_E---1.7
% 1.15/1.88 % Problem : theBenchmark.p
% 1.15/1.88 % SZS status Unsatisfiable for theBenchmark.p
% 1.15/1.88 % SZS output start CNFRefutation
% See solution above
% 1.15/1.88 % Total time : 1.403s
%------------------------------------------------------------------------------