%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV248-1 : 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 : n005.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 05:21:12 PM UTC 2026
% Result : Unsatisfiable 56.07s 33.28s
% Output : CNFRefutation 56.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 49 ( 8 unt; 6 nHn; 41 RR)
% Number of literals : 94 ( 0 equ; 61 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 75 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ c_lessequals(c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Set_OUn__least_0,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__least_0) ).
cnf(cls_Message_Oanalz__mono_0,axiom,
( c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__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/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_1) ).
cnf(cls_Set_OPow__iff__iff1_0,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OPow__iff__iff1_0) ).
cnf(cls_Message_Oanalz_OInj_0,axiom,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV004-0.ax',cls_Message_Oanalz_OInj_0) ).
cnf(cls_Set_OUnCI_1,axiom,
( c_in(X1,c_union(X2,X4,X3),X3)
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnCI_1) ).
cnf(cls_Set_OPow__iff__iff2_0,axiom,
( c_in(X1,c_Pow(X2,X3),tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OPow__iff__iff2_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/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_0) ).
cnf(cls_Set_OUnCI_0,axiom,
( c_in(X1,c_union(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnCI_0) ).
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/sandbox/benchmark/Axioms/SWV004-0.ax',cls_Message_Osynth_OInj_0) ).
cnf(cls_Set_OUnE_0,axiom,
( c_in(X1,X3,X4)
| c_in(X1,X2,X4)
| ~ c_in(X1,c_union(X2,X3,X4),X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnE_0) ).
cnf(c_0_12,negated_conjecture,
~ c_lessequals(c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
cls_conjecture_0 ).
cnf(c_0_13,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__least_0 ).
cnf(c_0_14,negated_conjecture,
( ~ c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,axiom,
( c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg)) ),
cls_Message_Oanalz__mono_0 ).
cnf(c_0_16,negated_conjecture,
( ~ c_lessequals(c_union(v_G,v_H,tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_lessequals(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,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_18,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
cls_Set_OPow__iff__iff1_0 ).
cnf(c_0_19,negated_conjecture,
( ~ c_lessequals(c_union(v_G,v_H,tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( ~ c_lessequals(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_in(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Pow(c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_14,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
( ~ c_in(c_Main_OsubsetI__1(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Main_OsubsetI__1(c_union(v_G,v_H,tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_19,c_0_17]) ).
cnf(c_0_22,axiom,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
cls_Message_Oanalz_OInj_0 ).
cnf(c_0_23,negated_conjecture,
( ~ c_in(c_Main_OsubsetI__1(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Pow(c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_20,c_0_17]) ).
cnf(c_0_24,negated_conjecture,
( ~ c_in(c_Main_OsubsetI__1(c_union(v_G,v_H,tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(c_Main_OsubsetI__1(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,axiom,
( c_in(X1,c_union(X2,X4,X3),X3)
| ~ c_in(X1,X2,X3) ),
cls_Set_OUnCI_1 ).
cnf(c_0_26,negated_conjecture,
( ~ c_lessequals(c_union(v_G,v_H,tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_in(c_Message_Osynth(v_G),c_Pow(c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_16,c_0_18]) ).
cnf(c_0_27,negated_conjecture,
( ~ c_in(c_Main_OsubsetI__1(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Pow(c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_28,axiom,
( c_in(X1,c_Pow(X2,X3),tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3)) ),
cls_Set_OPow__iff__iff2_0 ).
cnf(c_0_29,negated_conjecture,
( ~ c_in(c_Main_OsubsetI__1(c_union(v_G,v_H,tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(c_Main_OsubsetI__1(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_G),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,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_31,negated_conjecture,
( ~ c_in(c_Main_OsubsetI__1(c_union(v_G,v_H,tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(c_Message_Osynth(v_G),c_Pow(c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_26,c_0_17]) ).
cnf(c_0_32,negated_conjecture,
( ~ c_in(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Pow(c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_G),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_27,c_0_25]) ).
cnf(c_0_33,plain,
( c_in(c_Message_Oanalz(X1),c_Pow(c_Message_Oanalz(X2),tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_28,c_0_15]) ).
cnf(c_0_34,axiom,
( c_in(X1,c_union(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
cls_Set_OUnCI_0 ).
cnf(c_0_35,negated_conjecture,
( ~ c_in(c_Main_OsubsetI__1(c_union(v_G,v_H,tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(v_G),tc_Message_Omsg)
| ~ c_in(c_Main_OsubsetI__1(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_G),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_29,c_0_25]) ).
cnf(c_0_36,plain,
( c_in(X1,c_Pow(X2,X3),tc_set(X3))
| c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
inference(spm,[status(thm)],[c_0_28,c_0_30]) ).
cnf(c_0_37,negated_conjecture,
( ~ c_in(c_Main_OsubsetI__1(c_union(v_G,v_H,tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(v_G),tc_Message_Omsg)
| ~ c_in(c_Message_Osynth(v_G),c_Pow(c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_31,c_0_25]) ).
cnf(c_0_38,negated_conjecture,
~ c_in(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Pow(c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_30]),c_0_32]) ).
cnf(c_0_39,plain,
( c_in(c_Message_Oanalz(X1),c_Pow(c_Message_Oanalz(X2),tc_Message_Omsg),tc_set(tc_Message_Omsg))
| c_in(c_Main_OsubsetI__1(X1,X2,tc_Message_Omsg),X1,tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_33,c_0_30]) ).
cnf(c_0_40,negated_conjecture,
( ~ c_in(c_Main_OsubsetI__1(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_G),tc_Message_Omsg)
| ~ c_in(c_Main_OsubsetI__1(c_union(v_G,v_H,tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_29,c_0_34]) ).
cnf(c_0_41,negated_conjecture,
( ~ c_in(c_Main_OsubsetI__1(c_union(v_G,v_H,tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg)
| ~ c_in(c_Message_Osynth(v_G),c_Pow(c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(spm,[status(thm)],[c_0_31,c_0_34]) ).
cnf(c_0_42,negated_conjecture,
~ c_in(c_Main_OsubsetI__1(c_union(v_G,v_H,tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(v_G),tc_Message_Omsg),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).
cnf(c_0_43,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_44,axiom,
( c_in(X1,X3,X4)
| c_in(X1,X2,X4)
| ~ c_in(X1,c_union(X2,X3,X4),X4) ),
cls_Set_OUnE_0 ).
cnf(c_0_45,negated_conjecture,
c_in(c_Main_OsubsetI__1(c_union(v_G,v_H,tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_46,negated_conjecture,
~ c_in(c_Main_OsubsetI__1(c_union(v_G,v_H,tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_36]),c_0_41]) ).
cnf(c_0_47,negated_conjecture,
~ c_in(c_Main_OsubsetI__1(c_union(v_G,v_H,tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),v_G,tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_47]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV248-1 : 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
% 0.15/0.33 % Computer : n005.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 04:59:00 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 56.07/33.28 % Version : CSE_E---1.7
% 56.07/33.28 % Problem : theBenchmark.p
% 56.07/33.28 % SZS status Unsatisfiable for theBenchmark.p
% 56.07/33.28 % SZS output start CNFRefutation
% See solution above
% 56.28/33.50 % Total time : 24.496s
%------------------------------------------------------------------------------