%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV252-2 : 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 : n022.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 05:21:13 PM UTC 2026
% Result : Unsatisfiable 3.63s 3.15s
% Output : CNFRefutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of clauses : 60 ( 35 unt; 0 nHn; 33 RR)
% Number of literals : 91 ( 15 equ; 34 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 126 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Message_Oanalz__subset__iff_0,axiom,
( c_lessequals(X1,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__subset__iff_0) ).
cnf(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
cnf(clsarity_set_2,axiom,
class_Orderings_Oorder(tc_set(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_set_2) ).
cnf(cls_Set_OUn__subset__iff_0,axiom,
( c_lessequals(X1,X4,tc_set(X3))
| ~ c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_0) ).
cnf(cls_Message_Oparts__synth_0,axiom,
c_Message_Oparts(c_Message_Osynth(X1)) = c_union(c_Message_Oparts(X1),c_Message_Osynth(X1),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__synth_0) ).
cnf(cls_Message_Oparts__analz_0,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).
cnf(cls_Set_Oinsert__subset_2,axiom,
( c_lessequals(c_insert(X1,X4,X3),X2,tc_set(X3))
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__subset_2) ).
cnf(cls_Set_OUn__subset__iff_1,axiom,
( c_lessequals(X2,X4,tc_set(X3))
| ~ c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_1) ).
cnf(cls_Message_Oanalz__parts_0,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__parts_0) ).
cnf(cls_Message_Oparts__subset__iff_0,axiom,
( c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Set_Oinsert__subset_1,axiom,
( c_lessequals(X2,X4,tc_set(X3))
| ~ c_lessequals(c_insert(X1,X2,X3),X4,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__subset_1) ).
cnf(cls_Set_OUn__subset__iff_2,axiom,
( c_lessequals(c_union(X4,X1,X3),X2,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X4,X2,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_2) ).
cnf(cls_Set_OUn__Diff__cancel2_0,axiom,
c_union(c_minus(X1,X2,tc_set(X3)),X2,X3) = c_union(X1,X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__Diff__cancel2_0) ).
cnf(cls_Set_Oinsert__subset_0,axiom,
( c_in(X1,X4,X3)
| ~ c_lessequals(c_insert(X1,X2,X3),X4,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__subset_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/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
cnf(cls_Set_OUn__Diff__cancel_0,axiom,
c_union(X1,c_minus(X2,X1,tc_set(X3)),X3) = c_union(X1,X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__Diff__cancel_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Message_Oparts__subset__iff_1,axiom,
( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_1) ).
cnf(c_0_19,axiom,
( c_lessequals(X1,c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)) ),
cls_Message_Oanalz__subset__iff_0 ).
cnf(c_0_20,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_Orderings_Oorder__class_Oaxioms__1_0 ).
cnf(c_0_21,axiom,
class_Orderings_Oorder(tc_set(X1)),
clsarity_set_2 ).
cnf(c_0_22,axiom,
( c_lessequals(X1,X4,tc_set(X3))
| ~ c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3)) ),
cls_Set_OUn__subset__iff_0 ).
cnf(c_0_23,plain,
c_lessequals(X1,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_24,axiom,
c_Message_Oparts(c_Message_Osynth(X1)) = c_union(c_Message_Oparts(X1),c_Message_Osynth(X1),tc_Message_Omsg),
cls_Message_Oparts__synth_0 ).
cnf(c_0_25,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
cls_Message_Oparts__analz_0 ).
cnf(c_0_26,axiom,
( c_lessequals(c_insert(X1,X4,X3),X2,tc_set(X3))
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_set(X3)) ),
cls_Set_Oinsert__subset_2 ).
cnf(c_0_27,axiom,
( c_lessequals(X2,X4,tc_set(X3))
| ~ c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3)) ),
cls_Set_OUn__subset__iff_1 ).
cnf(c_0_28,plain,
c_lessequals(X1,c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,plain,
c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X1))) = c_union(c_Message_Oparts(X1),c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_Message_Oanalz__parts_0 ).
cnf(c_0_31,axiom,
( c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
cls_Message_Oparts__subset__iff_0 ).
cnf(c_0_32,plain,
( c_lessequals(c_insert(X1,X2,X3),X2,tc_set(X3))
| ~ c_in(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_20]),c_0_21])]) ).
cnf(c_0_33,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),
cls_conjecture_0 ).
cnf(c_0_34,axiom,
( c_lessequals(X2,X4,tc_set(X3))
| ~ c_lessequals(c_insert(X1,X2,X3),X4,tc_set(X3)) ),
cls_Set_Oinsert__subset_1 ).
cnf(c_0_35,axiom,
( c_lessequals(c_union(X4,X1,X3),X2,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X4,X2,tc_set(X3)) ),
cls_Set_OUn__subset__iff_2 ).
cnf(c_0_36,plain,
c_lessequals(X1,c_union(X2,X1,X3),tc_set(X3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_20]),c_0_21])]) ).
cnf(c_0_37,plain,
c_lessequals(X1,c_union(X1,X2,X3),tc_set(X3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_20]),c_0_21])]) ).
cnf(c_0_38,axiom,
c_union(c_minus(X1,X2,tc_set(X3)),X2,X3) = c_union(X1,X2,X3),
cls_Set_OUn__Diff__cancel2_0 ).
cnf(c_0_39,plain,
c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X1))),tc_set(tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_40,axiom,
( c_in(X1,X4,X3)
| ~ c_lessequals(c_insert(X1,X2,X3),X4,tc_set(X3)) ),
cls_Set_Oinsert__subset_0 ).
cnf(c_0_41,plain,
c_lessequals(X1,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_20]),c_0_21])]) ).
cnf(c_0_42,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_43,negated_conjecture,
c_lessequals(c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(v_H)),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_44,plain,
c_lessequals(X1,c_insert(X2,X1,X3),tc_set(X3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_20]),c_0_21])]) ).
cnf(c_0_45,plain,
( c_lessequals(c_union(X1,X2,X3),c_union(X4,X1,X3),tc_set(X3))
| ~ c_lessequals(X2,c_union(X4,X1,X3),tc_set(X3)) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_46,plain,
c_lessequals(c_minus(X1,X2,tc_set(X3)),c_union(X1,X2,X3),tc_set(X3)),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_47,axiom,
c_union(X1,c_minus(X2,X1,tc_set(X3)),X3) = c_union(X1,X2,X3),
cls_Set_OUn__Diff__cancel_0 ).
cnf(c_0_48,plain,
c_lessequals(X1,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X1))),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_31,c_0_39]) ).
cnf(c_0_49,plain,
c_in(X1,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_50,negated_conjecture,
c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg) = c_Message_Osynth(c_Message_Oanalz(v_H)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]) ).
cnf(c_0_51,plain,
c_lessequals(c_union(X1,X2,X3),c_union(X2,X1,X3),tc_set(X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).
cnf(c_0_52,plain,
( c_lessequals(c_insert(X1,X2,tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X2))),tc_set(tc_Message_Omsg))
| ~ c_in(X1,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X2))),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_26,c_0_48]) ).
cnf(c_0_53,negated_conjecture,
c_in(v_X,c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
cls_conjecture_1 ).
cnf(c_0_55,plain,
c_union(X1,X2,X3) = c_union(X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_51]),c_0_51])]) ).
cnf(c_0_56,axiom,
( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg)) ),
cls_Message_Oparts__subset__iff_1 ).
cnf(c_0_57,negated_conjecture,
c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_set(tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55]),c_0_29]) ).
cnf(c_0_59,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV252-2 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.12 % 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
% 0.14/0.32 % Computer : n022.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 04:58:51 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 3.63/3.15 % Version : CSE_E---1.7
% 3.63/3.15 % Problem : theBenchmark.p
% 3.63/3.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.63/3.15 % SZS output start CNFRefutation
% See solution above
% 3.63/3.16 % Total time : 2.368s
%------------------------------------------------------------------------------