%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEV631+1 : TPTP v9.3.0. Released v9.3.0.
% 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 : n022.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 05:15:27 PM UTC 2026
% Result : Theorem 8.57s 8.85s
% Output : CNFRefutation 8.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 55 ( 36 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 54 ( 14 ~; 10 |; 15 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 52 ( 18 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('_HAMMER_GOAL',conjecture,
! [X3036] :
( ciT___24t(X3036)
=> ! [X828] :
( cCoq_2eInit_2eDatatypes_2elist___24t(ciT,X828)
=> ! [X184] :
( cF___24t(X3036,X184)
=> ! [X2925] :
( cHList_2ehlist_2ehlist___24t(X828,X2925)
=> ! [X3037] :
( cF___24t(X3036,X3037)
=> ! [X849] :
( cHList_2ehlist_2ehlist___24t(X828,X849)
=> ( cHList_2ehlist_2eHcons___24a4(X3036,X828,X184,X2925) = cHList_2ehlist_2eHcons___24a4(X3036,X828,X3037,X849)
=> ( X184 = X3037
& X2925 = X849 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof('$_inj_HList.hlist.Hcons',axiom,
! [X1717,X1718,X1719,X1720,X1721,X1722,X1723,X1724] :
( cHList_2ehlist_2eHcons___24a4(X1717,X1719,X1721,X1723) = cHList_2ehlist_2eHcons___24a4(X1718,X1720,X1722,X1724)
=> ( X1723 = X1724
& X1721 = X1722
& X1719 = X1720
& X1717 = X1718 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_inj_HList.hlist.Hcons') ).
fof(c_0_2,negated_conjecture,
~ ! [X3036] :
( ciT___24t(X3036)
=> ! [X828] :
( cCoq_2eInit_2eDatatypes_2elist___24t(ciT,X828)
=> ! [X184] :
( cF___24t(X3036,X184)
=> ! [X2925] :
( cHList_2ehlist_2ehlist___24t(X828,X2925)
=> ! [X3037] :
( cF___24t(X3036,X3037)
=> ! [X849] :
( cHList_2ehlist_2ehlist___24t(X828,X849)
=> ( cHList_2ehlist_2eHcons___24a4(X3036,X828,X184,X2925) = cHList_2ehlist_2eHcons___24a4(X3036,X828,X3037,X849)
=> ( X184 = X3037
& X2925 = X849 ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],['_HAMMER_GOAL']) ).
fof(c_0_3,plain,
! [X3092,X3093,X3094,X3095,X3096,X3097,X3098,X3099] :
( ( X3098 = X3099
| cHList_2ehlist_2eHcons___24a4(X3092,X3094,X3096,X3098) != cHList_2ehlist_2eHcons___24a4(X3093,X3095,X3097,X3099) )
& ( X3096 = X3097
| cHList_2ehlist_2eHcons___24a4(X3092,X3094,X3096,X3098) != cHList_2ehlist_2eHcons___24a4(X3093,X3095,X3097,X3099) )
& ( X3094 = X3095
| cHList_2ehlist_2eHcons___24a4(X3092,X3094,X3096,X3098) != cHList_2ehlist_2eHcons___24a4(X3093,X3095,X3097,X3099) )
& ( X3092 = X3093
| cHList_2ehlist_2eHcons___24a4(X3092,X3094,X3096,X3098) != cHList_2ehlist_2eHcons___24a4(X3093,X3095,X3097,X3099) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['$_inj_HList.hlist.Hcons'])])]) ).
fof(c_0_4,negated_conjecture,
( ciT___24t(esk1_0)
& cCoq_2eInit_2eDatatypes_2elist___24t(ciT,esk2_0)
& cF___24t(esk1_0,esk3_0)
& cHList_2ehlist_2ehlist___24t(esk2_0,esk4_0)
& cF___24t(esk1_0,esk5_0)
& cHList_2ehlist_2ehlist___24t(esk2_0,esk6_0)
& cHList_2ehlist_2eHcons___24a4(esk1_0,esk2_0,esk3_0,esk4_0) = cHList_2ehlist_2eHcons___24a4(esk1_0,esk2_0,esk5_0,esk6_0)
& ( esk3_0 != esk5_0
| esk4_0 != esk6_0 ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
cnf(c_0_5,plain,
( X1 = X2
| cHList_2ehlist_2eHcons___24a4(X3,X4,X5,X1) != cHList_2ehlist_2eHcons___24a4(X6,X7,X8,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
cHList_2ehlist_2eHcons___24a4(esk1_0,esk2_0,esk3_0,esk4_0) = cHList_2ehlist_2eHcons___24a4(esk1_0,esk2_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( X1 = esk6_0
| cHList_2ehlist_2eHcons___24a4(X2,X3,X4,X1) != cHList_2ehlist_2eHcons___24a4(esk1_0,esk2_0,esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,negated_conjecture,
esk6_0 = esk4_0,
inference(er,[status(thm)],[c_0_7]) ).
cnf(c_0_9,plain,
( X1 = X2
| cHList_2ehlist_2eHcons___24a4(X3,X4,X1,X5) != cHList_2ehlist_2eHcons___24a4(X6,X7,X2,X8) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_10,negated_conjecture,
cHList_2ehlist_2eHcons___24a4(esk1_0,esk2_0,esk5_0,esk4_0) = cHList_2ehlist_2eHcons___24a4(esk1_0,esk2_0,esk3_0,esk4_0),
inference(rw,[status(thm)],[c_0_6,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( esk3_0 != esk5_0
| esk4_0 != esk6_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
( esk5_0 = X1
| cHList_2ehlist_2eHcons___24a4(esk1_0,esk2_0,esk3_0,esk4_0) != cHList_2ehlist_2eHcons___24a4(X2,X3,X1,X4) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
esk5_0 != esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_8])]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_12]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEV631+1 : TPTP v9.3.0. Released v9.3.0.
% 0.11/0.13 % 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
% 0.15/0.34 % Computer : n022.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue May 5 04:03:36 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.19/0.35 % start to proof: theBenchmark
% 8.57/8.85 % Version : CSE_E---1.7
% 8.57/8.85 % Problem : theBenchmark.p
% 8.57/8.85 % SZS status Theorem for theBenchmark.p
% 8.57/8.85 % SZS output start CNFRefutation
% See solution above
% 8.57/8.85 % Total time : 8.489s
%------------------------------------------------------------------------------