%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV274-2 : 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 : n026.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 05:21:23 PM UTC 2026
% Result : Unsatisfiable 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of clauses : 26 ( 9 unt; 9 nHn; 21 RR)
% Number of literals : 50 ( 6 equ; 16 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 : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 39 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Message_Osynth__trans_0,axiom,
( c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_lessequals(X2,c_Message_Osynth(X3),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth__trans_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_conjecture_0,negated_conjecture,
c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_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_Message_Osynth_OInj_0,axiom,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_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_conjecture_2,negated_conjecture,
~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_0_8,axiom,
( c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_lessequals(X2,c_Message_Osynth(X3),tc_set(tc_Message_Omsg)) ),
cls_Message_Osynth__trans_0 ).
cnf(c_0_9,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_10,plain,
( c_in(c_Main_OsubsetI__1(X1,c_Message_Osynth(X2),tc_Message_Omsg),X1,tc_Message_Omsg)
| c_in(X3,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,negated_conjecture,
c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
cls_conjecture_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_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
cls_Message_Osynth_OInj_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,negated_conjecture,
( c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg),c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg)
| c_in(v_Y,c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,plain,
( c_lessequals(X1,c_Message_Osynth(X2),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(X1,c_Message_Osynth(X2),tc_Message_Omsg),X2,tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
( c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg) = v_X
| c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg),v_H,tc_Message_Omsg)
| c_in(v_Y,c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg),
cls_conjecture_2 ).
cnf(c_0_19,negated_conjecture,
( c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) = v_X
| c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_20,negated_conjecture,
( c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) = v_X
| c_in(X1,c_Message_Osynth(v_H),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_8,c_0_19]) ).
cnf(c_0_21,negated_conjecture,
c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) = v_X,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_11]),c_0_18]) ).
cnf(c_0_22,negated_conjecture,
c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
cls_conjecture_1 ).
cnf(c_0_23,negated_conjecture,
c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_21]),c_0_22])]) ).
cnf(c_0_24,negated_conjecture,
( c_in(X1,c_Message_Osynth(v_H),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_8,c_0_23]) ).
cnf(c_0_25,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_11]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV274-2 : 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 : n026.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 04:59:53 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/1.72 % SZS output start CNFRefutation
% See solution above
% 1.27/1.72 % Total time : 1.373s
%------------------------------------------------------------------------------