%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC014-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:39:35 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.38s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 39
% Syntax : Number of formulae : 128 ( 15 unt; 21 def)
% Number of atoms : 368 ( 91 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 459 ( 219 ~; 219 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 22 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [U] :
( app(nil,U) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f85,axiom,
! [U,V] :
( ssList(app(V,U))
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,axiom,
! [U,V] :
( tl(cons(U,V)) = V
| ~ ssList(V)
| ~ ssItem(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f99,axiom,
! [U,V] :
( ~ ssList(V)
| ~ ssItem(U)
| cons(U,V) != V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f100,axiom,
! [U,V] :
( V = U
| neq(V,U)
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f118,axiom,
! [U,V] :
( nil = U
| ~ ssList(U)
| ~ ssList(V)
| app(U,V) != nil ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f133,axiom,
! [U,V] :
( tl(app(V,U)) = app(tl(V),U)
| nil = V
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f188,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f189,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f190,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
! [A,B] :
( ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| app(sk1,B) != A
| tl(sk2) != B
| ~ ssList(B)
| sk2 != A
| ~ ssList(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f200,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f201,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f202,negated_conjecture,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f203,negated_conjecture,
( ~ neq(sk4,nil)
| app(cons(sk5,nil),sk6) = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f211,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f278,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f289,plain,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f300,plain,
! [X0,X1] :
( tl(cons(X0,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f304,plain,
! [V] :
( ~ ssList(V)
| ! [U] :
( ~ ssItem(U)
| cons(U,V) != V ) ),
inference(miniscoping,[status(thm)],[f99]) ).
fof(f305,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != X1 ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f306,plain,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f330,plain,
! [U] :
( nil = U
| ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| app(U,V) != nil ) ),
inference(miniscoping,[status(thm)],[f118]) ).
fof(f331,plain,
! [X0,X1] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
inference(cnf_transformation,[status(thm)],[f330]) ).
fof(f349,plain,
! [X0,X1] :
( tl(app(X1,X0)) = app(tl(X1),X0)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f436,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f437,plain,
ssList(sk4),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f438,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f439,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f440,plain,
( neq(sk2,nil)
| neq(sk2,nil) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f448,plain,
( ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| ! [A,B] :
( app(sk1,B) != A
| tl(sk2) != B
| ~ ssList(B)
| sk2 != A
| ~ ssList(A) ) ),
inference(miniscoping,[status(thm)],[f199]) ).
fof(f449,plain,
! [X0,X1] :
( ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| app(sk1,X1) != X0
| tl(sk2) != X1
| ~ ssList(X1)
| sk2 != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f448]) ).
fof(f450,plain,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f451,plain,
( ~ neq(sk4,nil)
| ssList(sk6) ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f452,plain,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f453,plain,
( ~ neq(sk4,nil)
| app(cons(sk5,nil),sk6) = sk4 ),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f461,definition,
( sQ2_spl
<=> neq(sk2,nil) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( ~ sQ2_spl
| neq(sk2,nil) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,plain,
sQ2_spl,
inference(split_clause,[status(thm)],[f440,f461]) ).
fof(f465,definition,
( sQ3_spl
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f467,plain,
( sQ3_spl
| ~ neq(sk4,nil) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f469,definition,
! [X0,X1] :
( sQ4_spl
<=> ( app(sk1,X1) != X0
| tl(sk2) != X1
| ~ ssList(X1)
| sk2 != X0
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f470,plain,
! [X0,X1] :
( ~ sQ4_spl
| app(sk1,X1) != X0
| tl(sk2) != X1
| ~ ssList(X1)
| sk2 != X0
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,definition,
( sQ5_spl
<=> neq(nil,sk2) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( sQ5_spl
| ~ neq(nil,sk2) ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f476,definition,
( sQ6_spl
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f480,definition,
( sQ7_spl
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f484,definition,
( sQ8_spl
<=> cons(sk5,nil) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( ~ sQ8_spl
| cons(sk5,nil) = sk3 ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f488,definition,
( sQ9_spl
<=> app(cons(sk5,nil),sk6) = sk4 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( ~ sQ9_spl
| app(cons(sk5,nil),sk6) = sk4 ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f492,plain,
( ~ sQ3_spl
| ~ sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f449,f469,f472,f465]) ).
fof(f493,plain,
( ~ sQ3_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f450,f476,f465]) ).
fof(f494,plain,
( ~ sQ3_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f451,f480,f465]) ).
fof(f495,plain,
( ~ sQ3_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f452,f484,f465]) ).
fof(f496,plain,
( ~ sQ3_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f453,f488,f465]) ).
fof(f528,plain,
( ~ sQ2_spl
| neq(sk4,nil) ),
inference(forward_demodulation,[status(thm)],[f438,f462]) ).
fof(f529,plain,
( sQ3_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f467,f528]) ).
fof(f530,plain,
( sQ3_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f529]) ).
fof(f531,plain,
! [X0,X1] :
( ~ sQ4_spl
| app(sk1,X1) != X0
| tl(sk2) != X1
| ~ ssList(X1)
| sk4 != X0
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f438,f470]) ).
fof(f532,plain,
! [X0,X1] :
( ~ sQ4_spl
| app(sk1,X1) != X0
| tl(sk4) != X1
| ~ ssList(X1)
| sk4 != X0
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f438,f531]) ).
fof(f533,plain,
! [X0,X1] :
( ~ sQ4_spl
| app(sk3,X1) != X0
| tl(sk4) != X1
| ~ ssList(X1)
| sk4 != X0
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f439,f532]) ).
fof(f534,plain,
( ~ sQ4_spl
| app(sk3,tl(sk4)) != sk4
| ~ ssList(tl(sk4))
| ~ ssList(sk4) ),
inference(destructive_equality_resolution,[status(thm)],[f533]) ).
fof(f535,plain,
( ~ sQ4_spl
| app(sk3,tl(sk4)) != sk4
| ~ ssList(tl(sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[f534,f437]) ).
fof(f536,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| app(sk3,sk6) = sk4 ),
inference(forward_demodulation,[status(thm)],[f485,f489]) ).
fof(f537,plain,
( ~ sQ8_spl
| ~ ssList(nil)
| ~ ssItem(sk5)
| sk3 != nil ),
inference(paramodulation,[status(thm)],[f485,f305]) ).
fof(f538,definition,
( sQ10_spl
<=> sk3 = nil ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f540,plain,
( sQ10_spl
| sk3 != nil ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f541,definition,
( sQ11_spl
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( sQ11_spl
| ~ ssList(nil) ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| ~ sQ6_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f537,f538,f476,f541,f484]) ).
fof(f545,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| ssList(sk4)
| ~ ssList(sk3)
| ~ ssList(sk6) ),
inference(paramodulation,[status(thm)],[f536,f289]) ).
fof(f546,definition,
( sQ12_spl
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f548,plain,
( sQ12_spl
| ~ ssList(sk3) ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f549,definition,
( sQ13_spl
<=> ssList(sk4) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f552,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| sQ13_spl
| ~ sQ12_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f545,f480,f546,f549,f484,f488]) ).
fof(f553,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f548,f436]) ).
fof(f554,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f553]) ).
fof(f557,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f543,f211]) ).
fof(f558,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f557]) ).
fof(f565,plain,
( ~ sQ8_spl
| tl(sk3) = nil
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(paramodulation,[status(thm)],[f485,f300]) ).
fof(f566,definition,
( sQ14_spl
<=> tl(sk3) = nil ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f567,plain,
( ~ sQ14_spl
| tl(sk3) = nil ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f569,plain,
( ~ sQ8_spl
| sQ14_spl
| ~ sQ11_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f565,f476,f541,f566,f484]) ).
fof(f588,plain,
( sQ5_spl
| ~ neq(nil,sk4) ),
inference(forward_demodulation,[status(thm)],[f438,f474]) ).
fof(f590,plain,
( sQ5_spl
| nil = sk4
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(resolution,[status(thm)],[f588,f306]) ).
fof(f597,definition,
( sQ21_spl
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( ~ sQ21_spl
| nil = sk4 ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f601,plain,
( sQ5_spl
| sQ21_spl
| ~ sQ11_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f590,f549,f541,f597,f472]) ).
fof(f605,plain,
( sQ10_spl
| ~ sQ21_spl
| sk3 != sk4 ),
inference(backward_demodulation,[status(thm)],[f598,f540]) ).
fof(f620,plain,
! [X0,X1] :
( ~ sQ21_spl
| nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != sk4 ),
inference(forward_demodulation,[status(thm)],[f598,f331]) ).
fof(f621,plain,
! [X0,X1] :
( ~ sQ21_spl
| sk4 = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != sk4 ),
inference(forward_demodulation,[status(thm)],[f598,f620]) ).
fof(f622,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ21_spl
| sk4 = sk3
| ~ ssList(sk3)
| ~ ssList(sk6) ),
inference(resolution,[status(thm)],[f621,f536]) ).
fof(f624,definition,
( sQ22_spl
<=> sk4 = sk3 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f625,plain,
( ~ sQ22_spl
| sk4 = sk3 ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f627,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ21_spl
| sQ22_spl
| ~ sQ12_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f622,f480,f546,f624,f597,f484,f488]) ).
fof(f628,definition,
( sQ23_spl
<=> sk4 = sk4 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f630,plain,
( sQ23_spl
| sk4 != sk4 ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f632,plain,
( sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f630]) ).
fof(f633,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f632]) ).
fof(f644,plain,
( ~ sQ22_spl
| sQ10_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f625,f605]) ).
fof(f645,plain,
( ~ sQ22_spl
| sQ10_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f644]) ).
fof(f651,definition,
( sQ25_spl
<=> ssList(tl(sk4)) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f658,definition,
( sQ27_spl
<=> app(sk3,tl(sk4)) = sk4 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f660,plain,
( sQ27_spl
| app(sk3,tl(sk4)) != sk4 ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,plain,
( ~ sQ4_spl
| ~ sQ27_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f535,f651,f658,f469]) ).
fof(f689,plain,
! [X0] :
( ~ sQ14_spl
| tl(app(sk3,X0)) = app(nil,X0)
| nil = sk3
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f567,f349]) ).
fof(f690,definition,
! [X0] :
( sQ31_spl
<=> ( tl(app(sk3,X0)) = app(nil,X0)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f691,plain,
! [X0] :
( ~ sQ31_spl
| tl(app(sk3,X0)) = app(nil,X0)
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,plain,
( ~ sQ14_spl
| sQ10_spl
| ~ sQ12_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f689,f690,f546,f538,f566]) ).
fof(f709,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ31_spl
| tl(sk4) = app(nil,sk6)
| ~ ssList(sk6) ),
inference(paramodulation,[status(thm)],[f536,f691]) ).
fof(f714,definition,
( sQ35_spl
<=> tl(sk4) = app(nil,sk6) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f715,plain,
( ~ sQ35_spl
| tl(sk4) = app(nil,sk6) ),
inference(component_clause,[status(thm)],[f714]) ).
fof(f717,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ31_spl
| sQ35_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f709,f480,f714,f690,f484,f488]) ).
fof(f725,plain,
( ~ sQ35_spl
| tl(sk4) = sk6
| ~ ssList(sk6) ),
inference(paramodulation,[status(thm)],[f715,f278]) ).
fof(f726,plain,
( ~ sQ35_spl
| ssList(tl(sk4))
| ~ ssList(nil)
| ~ ssList(sk6) ),
inference(paramodulation,[status(thm)],[f715,f289]) ).
fof(f727,definition,
( sQ36_spl
<=> tl(sk4) = sk6 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f728,plain,
( ~ sQ36_spl
| tl(sk4) = sk6 ),
inference(component_clause,[status(thm)],[f727]) ).
fof(f730,plain,
( ~ sQ35_spl
| sQ36_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f725,f480,f727,f714]) ).
fof(f731,plain,
( ~ sQ35_spl
| sQ25_spl
| ~ sQ11_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f726,f480,f541,f651,f714]) ).
fof(f746,plain,
( sQ27_spl
| ~ sQ36_spl
| app(sk3,sk6) != sk4 ),
inference(forward_demodulation,[status(thm)],[f728,f660]) ).
fof(f747,plain,
( sQ27_spl
| ~ sQ36_spl
| ~ sQ9_spl
| ~ sQ8_spl
| sk4 != sk4 ),
inference(forward_demodulation,[status(thm)],[f536,f746]) ).
fof(f748,plain,
( sQ27_spl
| ~ sQ36_spl
| ~ sQ9_spl
| ~ sQ8_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f747]) ).
fof(f749,plain,
( sQ27_spl
| ~ sQ36_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f748]) ).
fof(f750,plain,
$false,
inference(sat_refutation,[status(thm)],[f464,f492,f493,f494,f495,f496,f530,f544,f552,f554,f558,f569,f601,f627,f633,f645,f661,f693,f717,f730,f731,f749]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC014-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 07:49:11 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.047267 seconds
% 0.14/0.41 % CPU time: 0.102497 seconds
% 0.14/0.41 % Total memory used: 20.952 MB
% 0.14/0.41 % Net memory used: 20.927 MB
%------------------------------------------------------------------------------