%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV261-2 : 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 : n028.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 05:21:16 PM UTC 2026
% Result : Unsatisfiable 1.37s 1.76s
% Output : CNFRefutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 29 ( 8 unt; 6 nHn; 18 RR)
% Number of literals : 56 ( 4 equ; 23 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 78 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_Osubset__trans_0,axiom,
( c_lessequals(X4,X2,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X4,X1,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).
cnf(cls_Message_Oparts__mono_0,axiom,
( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__mono_0) ).
cnf(cls_Set_OsubsetI_1,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
cnf(cls_Set_OUnCI_0,axiom,
( c_in(X1,c_union(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
cnf(cls_Set_OinsertE_0,axiom,
( c_in(X1,X3,X4)
| X1 = X2
| ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_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_Message_Oparts__Un__subset2_0,axiom,
c_lessequals(c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)),c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__Un__subset2_0) ).
cnf(cls_Set_OUnCI_1,axiom,
( c_in(X1,c_union(X2,X4,X3),X3)
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_X,v_G,tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_10,axiom,
( c_lessequals(X4,X2,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X4,X1,tc_set(X3)) ),
cls_Set_Osubset__trans_0 ).
cnf(c_0_11,axiom,
( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg)) ),
cls_Message_Oparts__mono_0 ).
cnf(c_0_12,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
cls_Set_OsubsetI_1 ).
cnf(c_0_13,axiom,
( c_in(X1,c_union(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
cls_Set_OUnCI_0 ).
cnf(c_0_14,axiom,
( c_in(X1,X3,X4)
| X1 = X2
| ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
cls_Set_OinsertE_0 ).
cnf(c_0_15,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_16,plain,
( c_lessequals(c_Message_Oparts(X1),X2,tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Oparts(X3),X2,tc_set(tc_Message_Omsg))
| ~ c_lessequals(X1,X3,tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,axiom,
c_lessequals(c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)),c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
cls_Message_Oparts__Un__subset2_0 ).
cnf(c_0_18,axiom,
( c_in(X1,c_union(X2,X4,X3),X3)
| ~ c_in(X1,X2,X3) ),
cls_Set_OUnCI_1 ).
cnf(c_0_19,plain,
( c_lessequals(X1,c_union(X2,X3,X4),tc_set(X4))
| ~ c_in(c_Main_OsubsetI__1(X1,c_union(X2,X3,X4),X4),X3,X4) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_20,plain,
( c_Main_OsubsetI__1(c_insert(X1,X2,X3),X4,X3) = X1
| c_lessequals(c_insert(X1,X2,X3),X4,tc_set(X3))
| c_in(c_Main_OsubsetI__1(c_insert(X1,X2,X3),X4,X3),X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
cls_conjecture_1 ).
cnf(c_0_22,plain,
( c_lessequals(c_Message_Oparts(X1),c_union(c_Message_Oparts(X2),c_Message_Oparts(X3),tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X1,c_union(X2,X3,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,plain,
( c_lessequals(X1,c_union(X2,X3,X4),tc_set(X4))
| ~ c_in(c_Main_OsubsetI__1(X1,c_union(X2,X3,X4),X4),X2,X4) ),
inference(spm,[status(thm)],[c_0_12,c_0_18]) ).
cnf(c_0_24,plain,
( c_Main_OsubsetI__1(c_insert(X1,X2,X3),c_union(X4,X2,X3),X3) = X1
| c_lessequals(c_insert(X1,X2,X3),c_union(X4,X2,X3),tc_set(X3)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,plain,
( c_lessequals(c_insert(X1,X2,X3),c_union(X4,X2,X3),tc_set(X3))
| ~ c_in(X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
c_in(v_X,v_G,tc_Message_Omsg),
cls_conjecture_0 ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV261-2 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n028.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 05:00:16 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.37/1.76 % Version : CSE_E---1.7
% 1.37/1.76 % Problem : theBenchmark.p
% 1.37/1.76 % SZS status Unsatisfiable for theBenchmark.p
% 1.37/1.76 % SZS output start CNFRefutation
% See solution above
% 1.37/1.76 % Total time : 1.368s
%------------------------------------------------------------------------------