%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SET846-2 : 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 : n008.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 0.27s 1.63s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 16 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 24 ( 0 equ; 10 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 34 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Zorn_OTFin_OsuccI_0,axiom,
( c_in(c_Zorn_Osucc(X2,X1,X3),c_Zorn_OTFin(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_OsuccI_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_Set_OUnion__upper_0,axiom,
( c_lessequals(X1,c_Union(X2,X3),tc_set(X3))
| ~ c_in(X1,X2,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnion__upper_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(i_0_5,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))),
cls_conjecture_1,
[final] ).
cnf(i_0_6,axiom,
( c_in(c_Zorn_Osucc(X2,X1,X3),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
cls_Zorn_OTFin_OsuccI_0,
[final] ).
cnf(i_0_7,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,
[final] ).
cnf(i_0_8,axiom,
( c_lessequals(X1,c_Union(X2,X3),tc_set(X3))
| ~ c_in(X1,X2,tc_set(X3)) ),
cls_Set_OUnion__upper_0,
[final] ).
cnf(i_0_9,axiom,
c_lessequals(X1,X1,tc_set(X2)),
cls_Set_Osubset__refl_0,
[final] ).
cnf(i_0_10,plain,
c_in(c_Union(c_Zorn_OTFin(X1,X2),tc_set(X2)),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))),
inference(scs_inference,[],[i_0_9,i_0_7]) ).
cnf(i_0_11,plain,
c_lessequals(X1,X1,tc_set(X2)),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_12,plain,
( ~ c_lessequals(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(tc_set(X3))))
| c_in(c_Union(X1,tc_set(X3)),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_13,plain,
c_in(c_Zorn_Osucc(X1,c_Union(c_Zorn_OTFin(X1,X2),tc_set(X2)),X2),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))),
inference(scs_inference,[],[i_0_9,i_0_7,i_0_6]) ).
cnf(i_0_14,plain,
( ~ c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))
| c_in(c_Zorn_Osucc(X2,X1,X3),c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_15,plain,
$false,
inference(scs_inference,[],[i_0_5,i_0_9,i_0_7,i_0_6,i_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET846-2 : TPTP v9.2.1. Released v3.2.0.
% 0.12/0.13 % 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
% 0.16/0.34 % Computer : n008.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 02:38:59 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 0.27/1.63 % Version : CSE_E---1.7
% 0.27/1.63 % Problem : theBenchmark.p
% 0.27/1.63 % SZS status Unsatisfiable for theBenchmark.p
% 0.27/1.63 % SZS output start CNFRefutation
% See solution above
% 0.27/1.65 % Total time : 1.272s
%------------------------------------------------------------------------------