%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN982-1 : TPTP v9.2.1. Released v3.1.0.
% 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 : 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 05:51:11 PM UTC 2026
% Result : Unsatisfiable 1.27s 1.71s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of clauses : 48 ( 16 unt; 0 nHn; 48 RR)
% Number of literals : 103 ( 0 equ; 60 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-1 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 69 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause30,axiom,
( ssSb(pair(X1,X2))
| ~ ssM(sent(X1,b,pair(X1,X2)))
| ~ ssBf(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
cnf(clause16,axiom,
ssM(sent(a,b,pair(a,na))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
cnf(clause3,axiom,
ssBf(na),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
cnf(clause34,axiom,
( ssBk(key(X2,X1))
| ~ ssM(sent(X1,b,pair(encr(triple(X1,X2,tb(X3)),bt),encr(nb(X3),X2))))
| ~ ssSb(pair(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
cnf(clause27,axiom,
( ssM(sent(X2,X3,X1))
| ~ ssIm(X1)
| ~ ssP(X2)
| ~ ssP(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
cnf(clause4,axiom,
ssP(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
cnf(clause5,axiom,
ssP(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
cnf(clause29,axiom,
( ssIm(encr(X1,X2))
| ~ ssIm(X1)
| ~ ssIk(key(X2,X3))
| ~ ssP(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
cnf(clause25,axiom,
( ssIk(key(X1,X2))
| ~ ssIm(X1)
| ~ ssP(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
cnf(clause33,axiom,
( ssM(sent(b,t,triple(b,nb(X2),encr(triple(X1,X2,tb(X2)),bt))))
| ~ ssM(sent(X1,b,pair(X1,X2)))
| ~ ssBf(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
cnf(clause26,axiom,
( ssIm(pair(X1,X2))
| ~ ssIm(X1)
| ~ ssIm(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
cnf(clause37,negated_conjecture,
( ~ ssIk(key(X1,b))
| ~ ssBk(key(X1,a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
cnf(clause20,axiom,
( ssIm(X3)
| ~ ssM(sent(X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
cnf(clause18,axiom,
( ssIm(X2)
| ~ ssIm(triple(X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
cnf(clause17,axiom,
( ssIm(X3)
| ~ ssIm(triple(X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
cnf(clause14,axiom,
( ssIm(X2)
| ~ ssIm(pair(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
cnf(c_0_16,axiom,
( ssSb(pair(X1,X2))
| ~ ssM(sent(X1,b,pair(X1,X2)))
| ~ ssBf(X2) ),
clause30 ).
cnf(c_0_17,axiom,
ssM(sent(a,b,pair(a,na))),
clause16 ).
cnf(c_0_18,axiom,
ssBf(na),
clause3 ).
cnf(c_0_19,axiom,
( ssBk(key(X2,X1))
| ~ ssM(sent(X1,b,pair(encr(triple(X1,X2,tb(X3)),bt),encr(nb(X3),X2))))
| ~ ssSb(pair(X1,X3)) ),
clause34 ).
cnf(c_0_20,plain,
ssSb(pair(a,na)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_21,plain,
( ssBk(key(X1,a))
| ~ ssM(sent(a,b,pair(encr(triple(a,X1,tb(na)),bt),encr(nb(na),X1)))) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,axiom,
( ssM(sent(X2,X3,X1))
| ~ ssIm(X1)
| ~ ssP(X2)
| ~ ssP(X3) ),
clause27 ).
cnf(c_0_23,axiom,
ssP(b),
clause4 ).
cnf(c_0_24,axiom,
ssP(a),
clause5 ).
cnf(c_0_25,axiom,
( ssIm(encr(X1,X2))
| ~ ssIm(X1)
| ~ ssIk(key(X2,X3))
| ~ ssP(X3) ),
clause29 ).
cnf(c_0_26,axiom,
( ssIk(key(X1,X2))
| ~ ssIm(X1)
| ~ ssP(X2) ),
clause25 ).
cnf(c_0_27,axiom,
( ssM(sent(b,t,triple(b,nb(X2),encr(triple(X1,X2,tb(X2)),bt))))
| ~ ssM(sent(X1,b,pair(X1,X2)))
| ~ ssBf(X2) ),
clause33 ).
cnf(c_0_28,plain,
( ssBk(key(X1,a))
| ~ ssIm(pair(encr(triple(a,X1,tb(na)),bt),encr(nb(na),X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24])]) ).
cnf(c_0_29,axiom,
( ssIm(pair(X1,X2))
| ~ ssIm(X1)
| ~ ssIm(X2) ),
clause26 ).
cnf(c_0_30,plain,
( ssIm(encr(X1,X2))
| ~ ssIm(X1)
| ~ ssIm(X2)
| ~ ssP(X3) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,negated_conjecture,
( ~ ssIk(key(X1,b))
| ~ ssBk(key(X1,a)) ),
clause37 ).
cnf(c_0_32,axiom,
( ssIm(X3)
| ~ ssM(sent(X1,X2,X3)) ),
clause20 ).
cnf(c_0_33,plain,
ssM(sent(b,t,triple(b,nb(na),encr(triple(a,na,tb(na)),bt)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_17]),c_0_18])]) ).
cnf(c_0_34,plain,
( ssBk(key(X1,a))
| ~ ssIm(encr(triple(a,X1,tb(na)),bt))
| ~ ssIm(encr(nb(na),X1)) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,plain,
( ssIm(encr(X1,X2))
| ~ ssIm(X1)
| ~ ssIm(X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_24]) ).
cnf(c_0_36,negated_conjecture,
( ~ ssIm(X1)
| ~ ssBk(key(X1,a)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_26]),c_0_23])]) ).
cnf(c_0_37,axiom,
( ssIm(X2)
| ~ ssIm(triple(X1,X2,X3)) ),
clause18 ).
cnf(c_0_38,plain,
ssIm(triple(b,nb(na),encr(triple(a,na,tb(na)),bt))),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,plain,
( ~ ssIm(encr(triple(a,X1,tb(na)),bt))
| ~ ssIm(nb(na))
| ~ ssIm(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_40,plain,
ssIm(nb(na)),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,axiom,
( ssIm(X3)
| ~ ssIm(triple(X1,X2,X3)) ),
clause17 ).
cnf(c_0_42,axiom,
( ssIm(X2)
| ~ ssIm(pair(X1,X2)) ),
clause14 ).
cnf(c_0_43,plain,
ssIm(pair(a,na)),
inference(spm,[status(thm)],[c_0_32,c_0_17]) ).
cnf(c_0_44,plain,
( ~ ssIm(encr(triple(a,X1,tb(na)),bt))
| ~ ssIm(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40])]) ).
cnf(c_0_45,plain,
ssIm(encr(triple(a,na,tb(na)),bt)),
inference(spm,[status(thm)],[c_0_41,c_0_38]) ).
cnf(c_0_46,plain,
ssIm(na),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN982-1 : TPTP v9.2.1. Released v3.1.0.
% 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
% 0.15/0.32 % Computer : n026.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 08:51:08 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.27/1.71 % Version : CSE_E---1.7
% 1.27/1.71 % Problem : theBenchmark.p
% 1.27/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/1.71 % SZS output start CNFRefutation
% See solution above
% 1.27/1.71 % Total time : 1.371s
%------------------------------------------------------------------------------