%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC030-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 02:39:40 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.41s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 33
% Syntax : Number of formulae : 129 ( 15 unt; 16 def)
% Number of atoms : 388 ( 114 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 497 ( 238 ~; 243 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 17 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 71 ( 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f73,axiom,
! [U] :
( app(U,nil) = U
| ~ ssList(U) ),
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(f118,axiom,
! [U,V] :
( nil = U
| ~ ssList(U)
| ~ ssList(V)
| app(U,V) != nil ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f119,axiom,
! [U,V] :
( nil = V
| ~ ssList(U)
| ~ ssList(V)
| app(U,V) != nil ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f149,axiom,
! [U,V,W] :
( app(app(W,V),U) = app(W,app(V,U))
| ~ ssList(W)
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f150,axiom,
! [U,V,W] :
( V = W
| ~ ssList(W)
| ~ ssList(U)
| ~ ssList(V)
| app(U,V) != app(U,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f151,axiom,
! [U,V,W] :
( U = W
| ~ ssList(W)
| ~ ssList(V)
| ~ ssList(U)
| app(U,V) != app(W,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f157,axiom,
! [U,V,W] :
( cons(U,app(V,W)) = app(cons(U,V),W)
| ~ ssList(W)
| ~ ssList(V)
| ~ ssItem(U) ),
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,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
app(sk5,sk6) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
app(sk6,sk5) = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
( nil = sk1
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f273,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f274,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f285,plain,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f326,plain,
! [U] :
( nil = U
| ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| app(U,V) != nil ) ),
inference(miniscoping,[status(thm)],[f118]) ).
fof(f327,plain,
! [X0,X1] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f328,plain,
! [V] :
( nil = V
| ! [U] :
( ~ ssList(U)
| ~ ssList(V)
| app(U,V) != nil ) ),
inference(miniscoping,[status(thm)],[f119]) ).
fof(f329,plain,
! [X0,X1] :
( nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
inference(cnf_transformation,[status(thm)],[f328]) ).
fof(f368,plain,
! [X0,X1,X2] :
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f369,plain,
! [V,W] :
( V = W
| ~ ssList(W)
| ! [U] :
( ~ ssList(U)
| ~ ssList(V)
| app(U,V) != app(U,W) ) ),
inference(miniscoping,[status(thm)],[f150]) ).
fof(f370,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != app(X0,X2) ),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f371,plain,
! [U,W] :
( U = W
| ~ ssList(W)
| ! [V] :
( ~ ssList(V)
| ~ ssList(U)
| app(U,V) != app(W,V) ) ),
inference(miniscoping,[status(thm)],[f151]) ).
fof(f372,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) != app(X2,X1) ),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f383,plain,
! [X0,X1,X2] :
( cons(X0,app(X1,X2)) = app(cons(X0,X1),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f434,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f435,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f436,plain,
ssList(sk5),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f437,plain,
ssList(sk6),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f438,plain,
app(sk5,sk6) = sk4,
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f439,plain,
app(sk6,sk5) = sk3,
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f440,plain,
( nil = sk1
| nil = sk2 ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f443,plain,
( nil != sk2
| nil != sk1 ),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f451,definition,
( sQ2_spl
<=> nil = sk2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( ~ sQ2_spl
| nil = sk2 ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f453,plain,
( sQ2_spl
| nil != sk2 ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,definition,
( sQ3_spl
<=> nil = sk1 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f455,plain,
( ~ sQ3_spl
| nil = sk1 ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f456,plain,
( sQ3_spl
| nil != sk1 ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f440,f451,f454]) ).
fof(f460,plain,
( ~ sQ2_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f443,f454,f451]) ).
fof(f492,plain,
( sQ3_spl
| nil != sk3 ),
inference(forward_demodulation,[status(thm)],[f435,f456]) ).
fof(f493,plain,
( sQ3_spl
| ~ sQ2_spl
| sk4 != sk3 ),
inference(backward_demodulation,[status(thm)],[f495,f492]) ).
fof(f495,plain,
( ~ sQ2_spl
| nil = sk4 ),
inference(forward_demodulation,[status(thm)],[f434,f452]) ).
fof(f497,plain,
! [X0] :
( ~ sQ2_spl
| app(sk4,X0) = X0
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f495,f274]) ).
fof(f498,plain,
( ssList(sk3)
| ~ ssList(sk6)
| ~ ssList(sk5) ),
inference(paramodulation,[status(thm)],[f439,f285]) ).
fof(f499,plain,
( ssList(sk4)
| ~ ssList(sk5)
| ~ ssList(sk6) ),
inference(paramodulation,[status(thm)],[f438,f285]) ).
fof(f500,definition,
( sQ4_spl
<=> ssList(sk5) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f502,plain,
( sQ4_spl
| ~ ssList(sk5) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,definition,
( sQ5_spl
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f505,plain,
( sQ5_spl
| ~ ssList(sk6) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,definition,
( sQ6_spl
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f498,f500,f503,f506]) ).
fof(f510,definition,
( sQ7_spl
<=> ssList(sk4) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( sQ7_spl
| ~ sQ4_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f499,f503,f500,f510]) ).
fof(f514,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f502,f436]) ).
fof(f515,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f514]) ).
fof(f516,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f505,f437]) ).
fof(f517,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f516]) ).
fof(f531,plain,
! [X0,X1] :
( ~ sQ2_spl
| nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != sk4 ),
inference(forward_demodulation,[status(thm)],[f495,f327]) ).
fof(f532,plain,
! [X0,X1] :
( ~ sQ2_spl
| sk4 = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != sk4 ),
inference(forward_demodulation,[status(thm)],[f495,f531]) ).
fof(f533,plain,
( ~ sQ2_spl
| ~ ssList(sk4)
| sk4 = sk4
| ~ ssList(sk4)
| ~ ssList(sk4) ),
inference(resolution,[status(thm)],[f532,f497]) ).
fof(f537,plain,
( ~ sQ2_spl
| sk4 = sk5
| ~ ssList(sk5)
| ~ ssList(sk6)
| sk4 != sk4 ),
inference(paramodulation,[status(thm)],[f438,f532]) ).
fof(f538,definition,
( sQ8_spl
<=> sk4 = sk4 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f541,plain,
( ~ sQ2_spl
| sQ8_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f533,f510,f538,f451]) ).
fof(f542,definition,
( sQ9_spl
<=> sk4 = sk5 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( ~ sQ9_spl
| sk4 = sk5 ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f550,definition,
( sQ11_spl
<=> sk4 = sk6 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f551,plain,
( ~ sQ11_spl
| sk4 = sk6 ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f552,plain,
( sQ11_spl
| sk4 != sk6 ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f554,plain,
( ~ sQ2_spl
| sQ9_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f537,f538,f503,f500,f542,f451]) ).
fof(f562,plain,
( sQ2_spl
| nil != sk4 ),
inference(forward_demodulation,[status(thm)],[f434,f453]) ).
fof(f563,plain,
( ~ sQ3_spl
| nil = sk3 ),
inference(forward_demodulation,[status(thm)],[f435,f455]) ).
fof(f564,plain,
( sQ2_spl
| ~ sQ3_spl
| sk3 != sk4 ),
inference(backward_demodulation,[status(thm)],[f563,f562]) ).
fof(f565,plain,
! [X0,X1] :
( ~ sQ3_spl
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != sk3 ),
inference(forward_demodulation,[status(thm)],[f563,f329]) ).
fof(f566,plain,
! [X0,X1] :
( ~ sQ3_spl
| sk3 = X1
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != sk3 ),
inference(forward_demodulation,[status(thm)],[f563,f565]) ).
fof(f567,plain,
( ~ sQ3_spl
| sk3 = sk5
| ~ ssList(sk6)
| ~ ssList(sk5) ),
inference(resolution,[status(thm)],[f566,f439]) ).
fof(f570,definition,
( sQ14_spl
<=> sk3 = sk5 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f571,plain,
( ~ sQ14_spl
| sk3 = sk5 ),
inference(component_clause,[status(thm)],[f570]) ).
fof(f573,plain,
( ~ sQ3_spl
| sQ14_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f567,f500,f503,f570,f454]) ).
fof(f578,definition,
( sQ16_spl
<=> sk3 = sk6 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f579,plain,
( ~ sQ16_spl
| sk3 = sk6 ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f591,plain,
( sQ2_spl
| ~ sQ3_spl
| ~ sQ14_spl
| sk5 != sk4 ),
inference(backward_demodulation,[status(thm)],[f571,f564]) ).
fof(f592,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| nil = sk5 ),
inference(backward_demodulation,[status(thm)],[f571,f563]) ).
fof(f593,plain,
( ~ sQ14_spl
| app(sk6,sk5) = sk5 ),
inference(backward_demodulation,[status(thm)],[f571,f439]) ).
fof(f604,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ14_spl
| app(sk5,X0) = X0
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f592,f274]) ).
fof(f606,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| sk4 = sk6
| ~ ssList(sk6) ),
inference(paramodulation,[status(thm)],[f438,f604]) ).
fof(f611,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| sQ11_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f606,f503,f550,f570,f454]) ).
fof(f612,plain,
( sQ2_spl
| ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ11_spl
| sk5 != sk6 ),
inference(backward_demodulation,[status(thm)],[f551,f591]) ).
fof(f657,definition,
( sQ22_spl
<=> sk6 = sk5 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f658,plain,
( ~ sQ22_spl
| sk6 = sk5 ),
inference(component_clause,[status(thm)],[f657]) ).
fof(f697,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ14_spl
| app(X0,sk5) = X0
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f592,f273]) ).
fof(f699,plain,
( ~ sQ14_spl
| ~ sQ3_spl
| sk5 = sk6
| ~ ssList(sk6) ),
inference(paramodulation,[status(thm)],[f593,f697]) ).
fof(f702,plain,
( ~ sQ14_spl
| ~ sQ3_spl
| sQ22_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f699,f503,f657,f454,f570]) ).
fof(f704,plain,
( ~ sQ22_spl
| sQ2_spl
| ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f658,f612]) ).
fof(f705,plain,
( ~ sQ22_spl
| sQ2_spl
| ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f704]) ).
fof(f707,plain,
( sQ3_spl
| ~ sQ2_spl
| ~ sQ11_spl
| sk6 != sk3 ),
inference(forward_demodulation,[status(thm)],[f551,f493]) ).
fof(f768,plain,
! [X0] :
( X0 = sk6
| ~ ssList(sk6)
| ~ ssList(sk5)
| ~ ssList(X0)
| app(X0,sk5) != sk3 ),
inference(paramodulation,[status(thm)],[f439,f372]) ).
fof(f770,plain,
! [X0] :
( X0 = sk5
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ ssList(X0)
| app(sk6,X0) != sk3 ),
inference(paramodulation,[status(thm)],[f439,f370]) ).
fof(f772,plain,
! [X0] :
( app(sk3,X0) = app(sk6,app(sk5,X0))
| ~ ssList(sk6)
| ~ ssList(sk5)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f439,f368]) ).
fof(f774,definition,
! [X0] :
( sQ33_spl
<=> ( X0 = sk6
| ~ ssList(X0)
| app(X0,sk5) != sk3 ) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f777,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f768,f774,f500,f503]) ).
fof(f779,definition,
! [X0] :
( sQ34_spl
<=> ( X0 = sk5
| ~ ssList(X0)
| app(sk6,X0) != sk3 ) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f782,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f770,f779,f503,f500]) ).
fof(f784,definition,
! [X0] :
( sQ35_spl
<=> ( app(sk3,X0) = app(sk6,app(sk5,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f787,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f772,f784,f500,f503]) ).
fof(f791,plain,
! [X0] :
( cons(X0,sk3) = app(cons(X0,sk6),sk5)
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ ssItem(X0) ),
inference(paramodulation,[status(thm)],[f439,f383]) ).
fof(f792,definition,
! [X0] :
( sQ36_spl
<=> ( cons(X0,sk3) = app(cons(X0,sk6),sk5)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f795,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f791,f792,f503,f500]) ).
fof(f809,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| nil = sk5 ),
inference(backward_demodulation,[status(thm)],[f543,f495]) ).
fof(f822,plain,
( sQ11_spl
| ~ sQ9_spl
| sk5 != sk6 ),
inference(forward_demodulation,[status(thm)],[f543,f552]) ).
fof(f865,plain,
( ~ sQ9_spl
| app(sk5,sk6) = sk5 ),
inference(forward_demodulation,[status(thm)],[f543,f438]) ).
fof(f914,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ9_spl
| app(X0,sk5) = X0
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f809,f273]) ).
fof(f919,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| sk3 = sk6
| ~ ssList(sk6) ),
inference(paramodulation,[status(thm)],[f439,f914]) ).
fof(f927,plain,
( ~ sQ2_spl
| ~ sQ9_spl
| sQ16_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f919,f503,f578,f542,f451]) ).
fof(f965,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ9_spl
| app(sk5,X0) = X0
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f543,f497]) ).
fof(f970,plain,
( ~ sQ9_spl
| ~ sQ2_spl
| sk5 = sk6
| ~ ssList(sk6) ),
inference(paramodulation,[status(thm)],[f865,f965]) ).
fof(f978,plain,
( ~ sQ9_spl
| ~ sQ2_spl
| sQ22_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f970,f503,f657,f451,f542]) ).
fof(f980,plain,
( ~ sQ22_spl
| sQ11_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f658,f822]) ).
fof(f981,plain,
( ~ sQ22_spl
| sQ11_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f980]) ).
fof(f991,plain,
( sQ3_spl
| ~ sQ2_spl
| ~ sQ11_spl
| ~ sQ16_spl
| sk6 != sk6 ),
inference(forward_demodulation,[status(thm)],[f579,f707]) ).
fof(f992,plain,
( sQ3_spl
| ~ sQ2_spl
| ~ sQ11_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f991]) ).
fof(f993,plain,
( sQ3_spl
| ~ sQ2_spl
| ~ sQ11_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f992]) ).
fof(f994,plain,
$false,
inference(sat_refutation,[status(thm)],[f457,f460,f509,f513,f515,f517,f541,f554,f573,f611,f702,f705,f777,f782,f787,f795,f927,f978,f981,f993]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC030-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n017.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 07:45:43 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.40 % Drodi V4.1.1
% 0.11/0.41 % Refutation found
% 0.11/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.44 % Elapsed time: 0.051741 seconds
% 0.11/0.44 % CPU time: 0.131867 seconds
% 0.11/0.44 % Total memory used: 28.514 MB
% 0.11/0.44 % Net memory used: 28.411 MB
%------------------------------------------------------------------------------