%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV272-2 : 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 : n003.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 0.25s 1.60s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 31 ( 12 unt; 6 nHn; 25 RR)
% Number of literals : 56 ( 0 equ; 26 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 66 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_OUn__iff_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/theBenchmark.p',cls_Set_OUn__iff_0) ).
cnf(cls_Message_OCrypt__synth_1,axiom,
( c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Set_OUn__iff_1,axiom,
( c_in(X1,c_union(X2,X4,X3),X3)
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_1) ).
cnf(cls_Set_OUn__iff_2,axiom,
( c_in(X1,c_union(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_2) ).
cnf(cls_Message_Oparts_OBody_0,axiom,
( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OBody_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Message_Oparts_OInj_0,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
cnf(i_0_8,axiom,
( c_in(X1,X3,X4)
| c_in(X1,X2,X4)
| ~ c_in(X1,c_union(X2,X3,X4),X4) ),
cls_Set_OUn__iff_0,
[final] ).
cnf(i_0_9,axiom,
( c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
cls_Message_OCrypt__synth_1,
[final] ).
cnf(i_0_10,negated_conjecture,
~ c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
cls_conjecture_2,
[final] ).
cnf(i_0_11,axiom,
( c_in(X1,c_union(X2,X4,X3),X3)
| ~ c_in(X1,X2,X3) ),
cls_Set_OUn__iff_1,
[final] ).
cnf(i_0_12,axiom,
( c_in(X1,c_union(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
cls_Set_OUn__iff_2,
[final] ).
cnf(i_0_13,axiom,
( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
cls_Message_Oparts_OBody_0,
[final] ).
cnf(i_0_14,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
cls_conjecture_1,
[final] ).
cnf(i_0_15,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
cls_Message_Oparts_OInj_0,
[final] ).
cnf(i_0_16,plain,
~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
inference(scs_inference,[],[i_0_10,i_0_11]) ).
cnf(i_0_17,plain,
( c_in(X1,c_union(X2,X3,X4),X4)
| ~ c_in(X1,X2,X4) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_18,plain,
~ c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
inference(scs_inference,[],[i_0_10,i_0_11,i_0_12]) ).
cnf(i_0_19,plain,
( c_in(X1,c_union(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_20,plain,
~ c_in(c_Message_Omsg_OCrypt(X1,v_X),c_Message_Oparts(v_H),tc_Message_Omsg),
inference(scs_inference,[],[i_0_10,i_0_11,i_0_12,i_0_13]) ).
cnf(i_0_21,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_22,plain,
~ c_in(v_X,v_H,tc_Message_Omsg),
inference(scs_inference,[],[i_0_10,i_0_11,i_0_12,i_0_13,i_0_15]) ).
cnf(i_0_23,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_24,plain,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_H),tc_Message_Omsg),
inference(scs_inference,[],[i_0_10,i_0_14,i_0_11,i_0_12,i_0_13,i_0_15,i_0_8]) ).
cnf(i_0_25,plain,
( ~ c_in(X1,c_union(X2,X3,X4),X4)
| c_in(X1,X3,X4)
| c_in(X1,X2,X4) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_26,plain,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_H,tc_Message_Omsg),
inference(scs_inference,[],[i_0_10,i_0_14,i_0_11,i_0_12,i_0_13,i_0_15,i_0_8,i_0_9]) ).
cnf(i_0_27,plain,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X3,X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_28,plain,
~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OCrypt(X2,v_X)),c_Message_Oparts(v_H),tc_Message_Omsg),
inference(scs_inference,[],[i_0_20,i_0_13]) ).
cnf(i_0_29,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_30,plain,
$false,
inference(scs_inference,[],[i_0_26,i_0_20,i_0_13,i_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV272-2 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.11 % 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
% 0.14/0.32 % Computer : n003.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 04:59:26 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 0.25/1.60 % Version : CSE_E---1.7
% 0.25/1.60 % Problem : theBenchmark.p
% 0.25/1.60 % SZS status Unsatisfiable for theBenchmark.p
% 0.25/1.60 % SZS output start CNFRefutation
% See solution above
% 0.25/1.64 % Total time : 1.270s
%------------------------------------------------------------------------------