%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV258-2 : 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 : n011.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 1.25s 1.72s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 15 ( 9 unt; 0 nHn; 12 RR)
% Number of literals : 23 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 21 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_1) ).
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/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_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_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/sandbox2/benchmark/theBenchmark.p',cls_Set_Oinsert__subset_2) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_6,negated_conjecture,
~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
cls_conjecture_1 ).
cnf(c_0_7,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_8,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_9,axiom,
c_lessequals(X1,X1,tc_set(X2)),
cls_Set_Osubset__refl_0 ).
cnf(c_0_10,negated_conjecture,
~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,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_12,plain,
c_lessequals(X1,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
cls_conjecture_0 ).
cnf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV258-2 : 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
% 0.16/0.33 % Computer : n011.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 04:58:47 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.25/1.72 % Version : CSE_E---1.7
% 1.25/1.72 % Problem : theBenchmark.p
% 1.25/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.25/1.72 % SZS output start CNFRefutation
% See solution above
% 1.25/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------