%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV249-2 : 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 : n023.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 249.22s 129.67s
% Output : CNFRefutation 250.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of clauses : 51 ( 32 unt; 0 nHn; 24 RR)
% Number of literals : 77 ( 20 equ; 29 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 133 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
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_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_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_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_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_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__insert__left_0,axiom,
c_union(c_insert(X1,X2,X3),X4,X3) = c_insert(X1,c_union(X2,X4,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__insert__left_0) ).
cnf(cls_Set_OUn__insert__right_0,axiom,
c_union(X1,c_insert(X2,X3,X4),X4) = c_insert(X2,c_union(X1,X3,X4),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__insert__right_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_Message_Oanalz__synth__Un_0,axiom,
c_Message_Oanalz(c_union(c_Message_Osynth(X1),X2,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),c_Message_Osynth(X1),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__synth__Un_0) ).
cnf(cls_Message_Oanalz__analz__Un_0,axiom,
c_Message_Oanalz(c_union(c_Message_Oanalz(X1),X2,tc_Message_Omsg)) = c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__analz__Un_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
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(c_0_17,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_Orderings_Oorder__class_Oaxioms__1_0 ).
cnf(c_0_18,axiom,
class_Orderings_Oorder(tc_set(X1)),
clsarity_set_2 ).
cnf(c_0_19,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_20,plain,
c_lessequals(X1,X1,tc_set(X2)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,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_22,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_23,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_24,plain,
c_lessequals(X1,c_union(X2,X1,X3),tc_set(X3)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,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_26,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_27,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_28,plain,
c_lessequals(X1,c_insert(X2,X1,X3),tc_set(X3)),
inference(spm,[status(thm)],[c_0_21,c_0_20]) ).
cnf(c_0_29,plain,
( c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3))
| ~ c_lessequals(c_minus(X1,X2,tc_set(X3)),X4,tc_set(X3))
| ~ c_lessequals(X2,X4,tc_set(X3)) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_30,plain,
c_lessequals(c_minus(X1,X2,tc_set(X3)),c_union(X2,X1,X3),tc_set(X3)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,plain,
c_lessequals(X1,c_union(X1,X2,X3),tc_set(X3)),
inference(spm,[status(thm)],[c_0_26,c_0_20]) ).
cnf(c_0_32,axiom,
c_union(c_insert(X1,X2,X3),X4,X3) = c_insert(X1,c_union(X2,X4,X3),X3),
cls_Set_OUn__insert__left_0 ).
cnf(c_0_33,axiom,
c_union(X1,c_insert(X2,X3,X4),X4) = c_insert(X2,c_union(X1,X3,X4),X4),
cls_Set_OUn__insert__right_0 ).
cnf(c_0_34,plain,
( c_insert(X1,X2,X3) = X2
| ~ c_lessequals(c_insert(X1,X2,X3),X2,tc_set(X3)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_35,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_36,plain,
c_lessequals(c_union(X1,X2,X3),c_union(X2,X1,X3),tc_set(X3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
cnf(c_0_37,axiom,
c_Message_Oanalz(c_union(c_Message_Osynth(X1),X2,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),c_Message_Osynth(X1),tc_Message_Omsg),
cls_Message_Oanalz__synth__Un_0 ).
cnf(c_0_38,axiom,
c_Message_Oanalz(c_union(c_Message_Oanalz(X1),X2,tc_Message_Omsg)) = c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),
cls_Message_Oanalz__analz__Un_0 ).
cnf(c_0_39,plain,
c_union(c_insert(X1,X2,X3),X4,X3) = c_union(X2,c_insert(X1,X4,X3),X3),
inference(rw,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,plain,
( c_insert(X1,X2,X3) = X2
| ~ c_in(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_20])]) ).
cnf(c_0_41,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
cls_conjecture_0 ).
cnf(c_0_42,negated_conjecture,
~ c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
cls_conjecture_1 ).
cnf(c_0_43,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_27,c_0_36]),c_0_36])]) ).
cnf(c_0_44,plain,
c_union(c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) = c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(X1)),X2,tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_45,plain,
c_lessequals(c_insert(X1,X2,X3),c_union(X2,c_insert(X1,X4,X3),X3),tc_set(X3)),
inference(spm,[status(thm)],[c_0_31,c_0_39]) ).
cnf(c_0_46,negated_conjecture,
c_insert(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg) = c_Message_Osynth(c_Message_Oanalz(v_G)),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,negated_conjecture,
~ c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(v_H,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_43]) ).
cnf(c_0_48,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_49,negated_conjecture,
c_lessequals(c_insert(v_X,X1,tc_Message_Omsg),c_union(X1,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_50,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV249-2 : 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
% 0.15/0.33 % Computer : n023.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 :
% 0.15/0.34 % start to proof: theBenchmark
% 249.22/129.67 % Version : CSE_E---1.7
% 249.22/129.67 % Problem : theBenchmark.p
% 249.22/129.67 % SZS status Unsatisfiable for theBenchmark.p
% 249.22/129.67 % SZS output start CNFRefutation
% See solution above
% 250.13/130.56 % Total time : 90.880s
%------------------------------------------------------------------------------