%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT347+1 : TPTP v9.2.1. Released v3.4.0.
% 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 : n011.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 04:38:14 PM UTC 2026
% Result : Theorem 1.72s 1.85s
% Output : CNFRefutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 54 ( 18 unt; 0 def)
% Number of atoms : 212 ( 15 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 243 ( 85 ~; 72 |; 65 &)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cc2_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v2_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(t1_waybel22,conjecture,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_yellow_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& v1_waybel_0(X2,k2_yellow_1(k9_waybel_0(X1)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X1))))) )
=> k1_yellow_0(k2_yellow_1(k9_waybel_0(X1)),X2) = k3_tarski(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_waybel22) ).
fof(t7_waybel16,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& l1_orders_2(X1) )
=> k9_waybel_0(X1) = k8_waybel_0(k7_lattice3(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_waybel16) ).
fof(fc5_yellow_7,axiom,
! [X1] :
( ( v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1))
& v1_lattice3(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_yellow_7) ).
fof(t9_waybel13,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v1_yellow_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& v1_waybel_0(X2,k2_yellow_1(k8_waybel_0(X1)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1))))) )
=> k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),X2) = k3_tarski(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_waybel13) ).
fof(fc10_yellow_7,axiom,
! [X1] :
( ( v2_yellow_0(X1)
& l1_orders_2(X1) )
=> ( v1_orders_2(k7_lattice3(X1))
& v1_yellow_0(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc10_yellow_7) ).
fof(fc3_yellow_7,axiom,
! [X1] :
( ( v4_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_orders_2(k7_lattice3(X1))
& v4_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_yellow_7) ).
fof(fc2_yellow_7,axiom,
! [X1] :
( ( v3_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_orders_2(k7_lattice3(X1))
& v3_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_yellow_7) ).
fof(fc1_yellow_7,axiom,
! [X1] :
( ( v2_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_orders_2(k7_lattice3(X1))
& v2_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_yellow_7) ).
fof(dt_k7_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_orders_2(k7_lattice3(X1))
& l1_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_lattice3) ).
fof(c_0_10,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v2_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc2_lattice3]) ).
fof(c_0_11,negated_conjecture,
~ ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_yellow_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& v1_waybel_0(X2,k2_yellow_1(k9_waybel_0(X1)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X1))))) )
=> k1_yellow_0(k2_yellow_1(k9_waybel_0(X1)),X2) = k3_tarski(X2) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t1_waybel22])]) ).
fof(c_0_12,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& l1_orders_2(X1) )
=> k9_waybel_0(X1) = k8_waybel_0(k7_lattice3(X1)) ),
inference(fof_simplification,[status(thm)],[t7_waybel16]) ).
fof(c_0_13,plain,
! [X169] :
( ~ l1_orders_2(X169)
| ~ v2_lattice3(X169)
| ~ v3_struct_0(X169) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).
fof(c_0_14,negated_conjecture,
( v2_orders_2(esk1_0)
& v3_orders_2(esk1_0)
& v4_orders_2(esk1_0)
& v2_yellow_0(esk1_0)
& v2_lattice3(esk1_0)
& l1_orders_2(esk1_0)
& ~ v1_xboole_0(esk2_0)
& v1_waybel_0(esk2_0,k2_yellow_1(k9_waybel_0(esk1_0)))
& m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(esk1_0)))))
& k1_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),esk2_0) != k3_tarski(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_15,plain,
! [X1] :
( ( v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1))
& v1_lattice3(k7_lattice3(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc5_yellow_7]) ).
fof(c_0_16,plain,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v1_yellow_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& v1_waybel_0(X2,k2_yellow_1(k8_waybel_0(X1)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1))))) )
=> k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),X2) = k3_tarski(X2) ) ),
inference(fof_simplification,[status(thm)],[t9_waybel13]) ).
fof(c_0_17,plain,
! [X295] :
( v3_struct_0(X295)
| ~ v2_orders_2(X295)
| ~ v3_orders_2(X295)
| ~ l1_orders_2(X295)
| k9_waybel_0(X295) = k8_waybel_0(k7_lattice3(X295)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).
cnf(c_0_18,plain,
( ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_21,plain,
! [X217] :
( ( ~ v3_struct_0(k7_lattice3(X217))
| ~ v2_lattice3(X217)
| ~ l1_orders_2(X217) )
& ( v1_orders_2(k7_lattice3(X217))
| ~ v2_lattice3(X217)
| ~ l1_orders_2(X217) )
& ( v1_lattice3(k7_lattice3(X217))
| ~ v2_lattice3(X217)
| ~ l1_orders_2(X217) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
fof(c_0_22,plain,
! [X203] :
( ( v1_orders_2(k7_lattice3(X203))
| ~ v2_yellow_0(X203)
| ~ l1_orders_2(X203) )
& ( v1_yellow_0(k7_lattice3(X203))
| ~ v2_yellow_0(X203)
| ~ l1_orders_2(X203) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc10_yellow_7])])]) ).
fof(c_0_23,plain,
! [X211] :
( ( v1_orders_2(k7_lattice3(X211))
| ~ v4_orders_2(X211)
| ~ l1_orders_2(X211) )
& ( v4_orders_2(k7_lattice3(X211))
| ~ v4_orders_2(X211)
| ~ l1_orders_2(X211) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_yellow_7])])]) ).
fof(c_0_24,plain,
! [X209] :
( ( v1_orders_2(k7_lattice3(X209))
| ~ v3_orders_2(X209)
| ~ l1_orders_2(X209) )
& ( v3_orders_2(k7_lattice3(X209))
| ~ v3_orders_2(X209)
| ~ l1_orders_2(X209) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_yellow_7])])]) ).
fof(c_0_25,plain,
! [X207] :
( ( v1_orders_2(k7_lattice3(X207))
| ~ v2_orders_2(X207)
| ~ l1_orders_2(X207) )
& ( v2_orders_2(k7_lattice3(X207))
| ~ v2_orders_2(X207)
| ~ l1_orders_2(X207) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_yellow_7])])]) ).
fof(c_0_26,plain,
! [X298,X299] :
( ~ v2_orders_2(X298)
| ~ v3_orders_2(X298)
| ~ v4_orders_2(X298)
| ~ v1_lattice3(X298)
| ~ v1_yellow_0(X298)
| ~ l1_orders_2(X298)
| v1_xboole_0(X299)
| ~ v1_waybel_0(X299,k2_yellow_1(k8_waybel_0(X298)))
| ~ m1_subset_1(X299,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X298)))))
| k1_yellow_0(k2_yellow_1(k8_waybel_0(X298)),X299) = k3_tarski(X299) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
cnf(c_0_27,plain,
( v3_struct_0(X1)
| k9_waybel_0(X1) = k8_waybel_0(k7_lattice3(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_28,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_29,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_30,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_31,plain,
( v1_lattice3(k7_lattice3(X1))
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_32,plain,
( v1_yellow_0(k7_lattice3(X1))
| ~ v2_yellow_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,negated_conjecture,
v2_yellow_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_34,plain,
( v4_orders_2(k7_lattice3(X1))
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_35,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_36,plain,
( v3_orders_2(k7_lattice3(X1))
| ~ v3_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_37,plain,
( v2_orders_2(k7_lattice3(X1))
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_38,plain,
( v1_xboole_0(X2)
| k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),X2) = k3_tarski(X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v1_yellow_0(X1)
| ~ l1_orders_2(X1)
| ~ v1_waybel_0(X2,k2_yellow_1(k8_waybel_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1))))) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_39,negated_conjecture,
k8_waybel_0(k7_lattice3(esk1_0)) = k9_waybel_0(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_19]),c_0_28]),c_0_29])]),c_0_30]) ).
cnf(c_0_40,negated_conjecture,
v1_lattice3(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_19]),c_0_20])]) ).
cnf(c_0_41,negated_conjecture,
v1_yellow_0(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_19]),c_0_33])]) ).
cnf(c_0_42,negated_conjecture,
v4_orders_2(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_19]),c_0_35])]) ).
cnf(c_0_43,negated_conjecture,
v3_orders_2(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_19]),c_0_28])]) ).
cnf(c_0_44,negated_conjecture,
v2_orders_2(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_19]),c_0_29])]) ).
fof(c_0_45,plain,
! [X186] :
( ( v1_orders_2(k7_lattice3(X186))
| ~ l1_orders_2(X186) )
& ( l1_orders_2(k7_lattice3(X186))
| ~ l1_orders_2(X186) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_lattice3])])]) ).
cnf(c_0_46,negated_conjecture,
( k1_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),X1) = k3_tarski(X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(esk1_0)))))
| ~ v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(esk1_0)))
| ~ l1_orders_2(k7_lattice3(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_41]),c_0_42]),c_0_43]),c_0_44])]) ).
cnf(c_0_47,plain,
( l1_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_48,negated_conjecture,
( k1_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),X1) = k3_tarski(X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(esk1_0)))))
| ~ v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_19])]) ).
cnf(c_0_49,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(esk1_0))))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_50,negated_conjecture,
v1_waybel_0(esk2_0,k2_yellow_1(k9_waybel_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_51,negated_conjecture,
k1_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),esk2_0) != k3_tarski(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_52,negated_conjecture,
~ v1_xboole_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_53,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]),c_0_51]),c_0_52]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT347+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % 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
% 0.14/0.32 % Computer : n011.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 : Mon May 4 21:28:47 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.72/1.85 % Version : CSE_E---1.7
% 1.72/1.85 % Problem : theBenchmark.p
% 1.72/1.85 % SZS status Theorem for theBenchmark.p
% 1.72/1.85 % SZS output start CNFRefutation
% See solution above
% 1.72/1.86 % Total time : 1.373s
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