%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SET847-2 : TPTP v9.2.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n004.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 05:08:46 PM UTC 2026
% Result : Unsatisfiable 1.24s 1.71s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of clauses : 31 ( 12 unt; 7 nHn; 18 RR)
% Number of literals : 56 ( 10 equ; 25 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 72 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ c_in(X1,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Set_OsubsetI_0,axiom,
( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
cnf(cls_Set_Osubset__antisym_0,axiom,
( X2 = X1
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X2,X1,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
cnf(cls_Set_ODiffI_0,axiom,
( c_in(X1,X4,X3)
| c_in(X1,c_minus(X2,X4,tc_set(X3)),X3)
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiffI_0) ).
cnf(cls_Zorn_OTFin__chain__lemma4_0,axiom,
( c_in(X1,c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__chain__lemma4_0) ).
cnf(cls_Set_Oempty__subsetI_0,axiom,
c_lessequals(c_emptyset,X1,tc_set(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oempty__subsetI_0) ).
cnf(cls_Zorn_OTFin__UnionI_0,axiom,
( c_in(c_Union(X1,tc_set(X3)),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
| ~ c_lessequals(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(tc_set(X3)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).
cnf(cls_Zorn_Osucc__not__equals_0,axiom,
( ~ c_in(X1,c_minus(c_Zorn_Ochain(X2,X3),c_Zorn_Omaxchain(X2,X3),tc_set(tc_set(tc_set(X3)))),tc_set(tc_set(X3)))
| c_Zorn_Osucc(X2,X1,X3) != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Osucc__not__equals_0) ).
cnf(cls_Set_Osubset__refl_0,axiom,
c_lessequals(X1,X1,tc_set(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
cnf(cls_Zorn_Oequal__succ__Union_1,axiom,
( c_Union(c_Zorn_OTFin(X1,X2),tc_set(X2)) = c_Zorn_Osucc(X1,c_Union(c_Zorn_OTFin(X1,X2),tc_set(X2)),X2)
| ~ c_in(c_Union(c_Zorn_OTFin(X1,X2),tc_set(X2)),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Oequal__succ__Union_1) ).
cnf(cls_Set_OemptyE_0,axiom,
~ c_in(X1,c_emptyset,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
cnf(c_0_11,negated_conjecture,
~ c_in(X1,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
cls_conjecture_0 ).
cnf(c_0_12,axiom,
( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
cls_Set_OsubsetI_0 ).
cnf(c_0_13,axiom,
( X2 = X1
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X2,X1,tc_set(X3)) ),
cls_Set_Osubset__antisym_0 ).
cnf(c_0_14,negated_conjecture,
c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X1,tc_set(tc_set(tc_set(t_a)))),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,axiom,
( c_in(X1,X4,X3)
| c_in(X1,c_minus(X2,X4,tc_set(X3)),X3)
| ~ c_in(X1,X2,X3) ),
cls_Set_ODiffI_0 ).
cnf(c_0_16,axiom,
( c_in(X1,c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
cls_Zorn_OTFin__chain__lemma4_0 ).
cnf(c_0_17,negated_conjecture,
( X1 = c_Zorn_Omaxchain(v_S,t_a)
| ~ c_lessequals(X1,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(tc_set(t_a)))) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,axiom,
c_lessequals(c_emptyset,X1,tc_set(X2)),
cls_Set_Oempty__subsetI_0 ).
cnf(c_0_19,plain,
( c_in(X1,c_minus(c_Zorn_Ochain(X2,X3),X4,tc_set(tc_set(tc_set(X3)))),tc_set(tc_set(X3)))
| c_in(X1,X4,tc_set(tc_set(X3)))
| ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,axiom,
( c_in(c_Union(X1,tc_set(X3)),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
| ~ c_lessequals(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(tc_set(X3)))) ),
cls_Zorn_OTFin__UnionI_0 ).
cnf(c_0_21,axiom,
( ~ c_in(X1,c_minus(c_Zorn_Ochain(X2,X3),c_Zorn_Omaxchain(X2,X3),tc_set(tc_set(tc_set(X3)))),tc_set(tc_set(X3)))
| c_Zorn_Osucc(X2,X1,X3) != X1 ),
cls_Zorn_Osucc__not__equals_0 ).
cnf(c_0_22,negated_conjecture,
c_Zorn_Omaxchain(v_S,t_a) = c_emptyset,
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,plain,
( c_in(c_Union(X1,tc_set(X2)),c_minus(c_Zorn_Ochain(X3,X2),X4,tc_set(tc_set(tc_set(X2)))),tc_set(tc_set(X2)))
| c_in(c_Union(X1,tc_set(X2)),X4,tc_set(tc_set(X2)))
| ~ c_lessequals(X1,c_Zorn_OTFin(X3,X2),tc_set(tc_set(tc_set(X2)))) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,axiom,
c_lessequals(X1,X1,tc_set(X2)),
cls_Set_Osubset__refl_0 ).
cnf(c_0_25,axiom,
( c_Union(c_Zorn_OTFin(X1,X2),tc_set(X2)) = c_Zorn_Osucc(X1,c_Union(c_Zorn_OTFin(X1,X2),tc_set(X2)),X2)
| ~ c_in(c_Union(c_Zorn_OTFin(X1,X2),tc_set(X2)),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
cls_Zorn_Oequal__succ__Union_1 ).
cnf(c_0_26,negated_conjecture,
( c_Zorn_Osucc(v_S,X1,t_a) != X1
| ~ c_in(X1,c_minus(c_Zorn_Ochain(v_S,t_a),c_emptyset,tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a))) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
( c_in(c_Union(c_Zorn_OTFin(X1,X2),tc_set(X2)),c_minus(c_Zorn_Ochain(X1,X2),X3,tc_set(tc_set(tc_set(X2)))),tc_set(tc_set(X2)))
| c_in(c_Union(c_Zorn_OTFin(X1,X2),tc_set(X2)),X3,tc_set(tc_set(X2))) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,plain,
c_Zorn_Osucc(X1,c_Union(c_Zorn_OTFin(X1,X2),tc_set(X2)),X2) = c_Union(c_Zorn_OTFin(X1,X2),tc_set(X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_20]),c_0_24])]) ).
cnf(c_0_29,axiom,
~ c_in(X1,c_emptyset,X2),
cls_Set_OemptyE_0 ).
cnf(c_0_30,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET847-2 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n004.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 02:38:47 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.24/1.71 % Version : CSE_E---1.7
% 1.24/1.71 % Problem : theBenchmark.p
% 1.24/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.24/1.71 % SZS output start CNFRefutation
% See solution above
% 1.24/1.71 % Total time : 1.372s
%------------------------------------------------------------------------------