%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : RNG080+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 02:04:53 PM UTC 2026
% Result : Theorem 7.09s 1.47s
% Output : CNFRefutation 7.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 27
% Syntax : Number of formulae : 104 ( 29 unt; 11 def)
% Number of atoms : 243 ( 100 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 242 ( 103 ~; 113 |; 13 &)
% ( 11 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 16 ( 14 usr; 12 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 13 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36,axiom,
! [W0,W1] :
( ( aVector0(W1)
& aVector0(W0) )
=> ( ( aDimensionOf0(W1) != sz00
& aDimensionOf0(W0) = aDimensionOf0(W1) )
=> sdtasasdt0(W0,W1) = sdtpldt0(sdtasasdt0(sziznziztdt0(W0),sziznziztdt0(W1)),sdtasdt0(sdtlbdtrb0(W0,aDimensionOf0(W0)),sdtlbdtrb0(W1,aDimensionOf0(W1)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,hypothesis,
( aVector0(xt)
& aVector0(xs) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,hypothesis,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,hypothesis,
( xp = sziznziztdt0(xs)
& aVector0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,hypothesis,
( xq = sziznziztdt0(xt)
& aVector0(xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,hypothesis,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(xA) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,hypothesis,
( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,hypothesis,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,hypothesis,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,hypothesis,
( xE = sdtasasdt0(xp,xq)
& aScalar0(xE) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,hypothesis,
( xF = sdtasdt0(xA,xA)
& aScalar0(xF) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,hypothesis,
( xG = sdtasdt0(xB,xB)
& aScalar0(xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,hypothesis,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,hypothesis,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,conjecture,
sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(negated_conjecture,[status(cth)],[f59]) ).
fof(f155,plain,
! [W0,W1] :
( sdtasasdt0(W0,W1) = sdtpldt0(sdtasasdt0(sziznziztdt0(W0),sziznziztdt0(W1)),sdtasdt0(sdtlbdtrb0(W0,aDimensionOf0(W0)),sdtlbdtrb0(W1,aDimensionOf0(W1))))
| aDimensionOf0(W1) = sz00
| aDimensionOf0(W0) != aDimensionOf0(W1)
| ~ aVector0(W1)
| ~ aVector0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f36]) ).
fof(f156,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| aDimensionOf0(X1) = sz00
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[status(thm)],[f155]) ).
fof(f159,plain,
aVector0(xs),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f160,plain,
aVector0(xt),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f163,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f164,plain,
aDimensionOf0(xs) != sz00,
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f166,plain,
xp = sziznziztdt0(xs),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f168,plain,
xq = sziznziztdt0(xt),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f170,plain,
xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f172,plain,
xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f174,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f176,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f178,plain,
xE = sdtasasdt0(xp,xq),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f180,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f182,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f184,plain,
xH = sdtasdt0(xA,xB),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f195,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f196,plain,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f215,plain,
xB = sdtlbdtrb0(xt,aDimensionOf0(xs)),
inference(forward_demodulation,[status(thm)],[f163,f172]) ).
fof(f260,plain,
! [X0] :
( sdtasasdt0(xt,X0) = sdtpldt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(X0,aDimensionOf0(X0))))
| aDimensionOf0(X0) = sz00
| aDimensionOf0(xt) != aDimensionOf0(X0)
| ~ aVector0(X0)
| ~ aVector0(xt) ),
inference(paramodulation,[status(thm)],[f163,f156]) ).
fof(f262,definition,
( sQ10_spl
<=> aVector0(xt) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f264,plain,
( sQ10_spl
| ~ aVector0(xt) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,definition,
! [X0] :
( sQ11_spl
<=> ( sdtasasdt0(xt,X0) = sdtpldt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(X0,aDimensionOf0(X0))))
| aDimensionOf0(X0) = sz00
| aDimensionOf0(xt) != aDimensionOf0(X0)
| ~ aVector0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f266,plain,
! [X0] :
( ~ sQ11_spl
| sdtasasdt0(xt,X0) = sdtpldt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(X0,aDimensionOf0(X0))))
| aDimensionOf0(X0) = sz00
| aDimensionOf0(xt) != aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,plain,
( sQ11_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f260,f262,f265]) ).
fof(f272,definition,
( sQ13_spl
<=> aDimensionOf0(xt) = sz00 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( ~ sQ13_spl
| aDimensionOf0(xt) = sz00 ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f276,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f264,f160]) ).
fof(f277,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f276]) ).
fof(f278,plain,
( ~ sQ13_spl
| aDimensionOf0(xs) = sz00 ),
inference(forward_demodulation,[status(thm)],[f163,f273]) ).
fof(f279,plain,
( ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f278,f164]) ).
fof(f280,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f279]) ).
fof(f284,plain,
! [X0] :
( ~ sQ11_spl
| sdtasasdt0(xt,X0) = sdtpldt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(X0,aDimensionOf0(X0))))
| aDimensionOf0(X0) = sz00
| aDimensionOf0(xs) != aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(forward_demodulation,[status(thm)],[f163,f266]) ).
fof(f285,plain,
! [X0] :
( ~ sQ11_spl
| sdtasasdt0(xt,X0) = sdtpldt0(sdtasasdt0(xq,sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(X0,aDimensionOf0(X0))))
| aDimensionOf0(X0) = sz00
| aDimensionOf0(xs) != aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(forward_demodulation,[status(thm)],[f168,f284]) ).
fof(f286,plain,
! [X0] :
( ~ sQ11_spl
| sdtasasdt0(xt,X0) = sdtpldt0(sdtasasdt0(xq,sziznziztdt0(X0)),sdtasdt0(xB,sdtlbdtrb0(X0,aDimensionOf0(X0))))
| aDimensionOf0(X0) = sz00
| aDimensionOf0(xs) != aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(forward_demodulation,[status(thm)],[f215,f285]) ).
fof(f288,plain,
( ~ sQ11_spl
| sdtasasdt0(xt,xt) = sdtpldt0(sdtasasdt0(xq,sziznziztdt0(xt)),sdtasdt0(xB,sdtlbdtrb0(xt,aDimensionOf0(xs))))
| aDimensionOf0(xt) = sz00
| aDimensionOf0(xs) != aDimensionOf0(xt)
| ~ aVector0(xt) ),
inference(paramodulation,[status(thm)],[f163,f286]) ).
fof(f289,definition,
( sQ14_spl
<=> aDimensionOf0(xs) = aDimensionOf0(xt) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( sQ14_spl
| aDimensionOf0(xs) != aDimensionOf0(xt) ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,definition,
( sQ15_spl
<=> sdtasasdt0(xt,xt) = sdtpldt0(sdtasasdt0(xq,sziznziztdt0(xt)),sdtasdt0(xB,sdtlbdtrb0(xt,aDimensionOf0(xs)))) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ15_spl
| sdtasasdt0(xt,xt) = sdtpldt0(sdtasasdt0(xq,sziznziztdt0(xt)),sdtasdt0(xB,sdtlbdtrb0(xt,aDimensionOf0(xs)))) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,plain,
( ~ sQ11_spl
| sQ15_spl
| sQ13_spl
| ~ sQ14_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f288,f262,f289,f272,f292,f265]) ).
fof(f296,plain,
( sQ14_spl
| aDimensionOf0(xs) != aDimensionOf0(xs) ),
inference(forward_demodulation,[status(thm)],[f163,f291]) ).
fof(f297,plain,
( sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f296]) ).
fof(f298,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f297]) ).
fof(f299,plain,
( ~ sQ15_spl
| sdtasasdt0(xt,xt) = sdtpldt0(sdtasasdt0(xq,xq),sdtasdt0(xB,sdtlbdtrb0(xt,aDimensionOf0(xs)))) ),
inference(forward_demodulation,[status(thm)],[f168,f293]) ).
fof(f300,plain,
( ~ sQ15_spl
| sdtasasdt0(xt,xt) = sdtpldt0(xD,sdtasdt0(xB,sdtlbdtrb0(xt,aDimensionOf0(xs)))) ),
inference(forward_demodulation,[status(thm)],[f176,f299]) ).
fof(f301,plain,
( ~ sQ15_spl
| sdtasasdt0(xt,xt) = sdtpldt0(xD,sdtasdt0(xB,xB)) ),
inference(forward_demodulation,[status(thm)],[f215,f300]) ).
fof(f302,plain,
( ~ sQ15_spl
| ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtpldt0(xD,xG))) ),
inference(backward_demodulation,[status(thm)],[f305,f196]) ).
fof(f305,plain,
( ~ sQ15_spl
| sdtasasdt0(xt,xt) = sdtpldt0(xD,xG) ),
inference(forward_demodulation,[status(thm)],[f182,f301]) ).
fof(f2446,plain,
! [X0] :
( sdtasasdt0(xs,X0) = sdtpldt0(sdtasasdt0(xp,sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(X0,aDimensionOf0(X0))))
| aDimensionOf0(X0) = sz00
| aDimensionOf0(xs) != aDimensionOf0(X0)
| ~ aVector0(X0)
| ~ aVector0(xs) ),
inference(paramodulation,[status(thm)],[f166,f156]) ).
fof(f2454,definition,
( sQ172_spl
<=> aVector0(xs) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f2456,plain,
( sQ172_spl
| ~ aVector0(xs) ),
inference(component_clause,[status(thm)],[f2454]) ).
fof(f2457,definition,
( sQ173_spl
<=> aDimensionOf0(xs) = aDimensionOf0(xs) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f2459,plain,
( sQ173_spl
| aDimensionOf0(xs) != aDimensionOf0(xs) ),
inference(component_clause,[status(thm)],[f2457]) ).
fof(f2460,definition,
( sQ174_spl
<=> aDimensionOf0(xs) = sz00 ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f2461,plain,
( ~ sQ174_spl
| aDimensionOf0(xs) = sz00 ),
inference(component_clause,[status(thm)],[f2460]) ).
fof(f2471,definition,
! [X0] :
( sQ177_spl
<=> ( sdtasasdt0(xs,X0) = sdtpldt0(sdtasasdt0(xp,sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(X0,aDimensionOf0(X0))))
| aDimensionOf0(X0) = sz00
| aDimensionOf0(xs) != aDimensionOf0(X0)
| ~ aVector0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f2472,plain,
! [X0] :
( ~ sQ177_spl
| sdtasasdt0(xs,X0) = sdtpldt0(sdtasasdt0(xp,sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(X0,aDimensionOf0(X0))))
| aDimensionOf0(X0) = sz00
| aDimensionOf0(xs) != aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(component_clause,[status(thm)],[f2471]) ).
fof(f2474,plain,
( sQ177_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f2446,f2454,f2471]) ).
fof(f2503,plain,
( sQ172_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2456,f159]) ).
fof(f2504,plain,
sQ172_spl,
inference(contradiction_clause,[status(thm)],[f2503]) ).
fof(f2505,plain,
( ~ sQ174_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2461,f164]) ).
fof(f2506,plain,
~ sQ174_spl,
inference(contradiction_clause,[status(thm)],[f2505]) ).
fof(f2507,plain,
! [X0] :
( ~ sQ177_spl
| sdtasasdt0(xs,X0) = sdtpldt0(sdtasasdt0(xp,sziznziztdt0(X0)),sdtasdt0(xA,sdtlbdtrb0(X0,aDimensionOf0(X0))))
| aDimensionOf0(X0) = sz00
| aDimensionOf0(xs) != aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(forward_demodulation,[status(thm)],[f170,f2472]) ).
fof(f2510,plain,
( sQ173_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2459]) ).
fof(f2511,plain,
sQ173_spl,
inference(contradiction_clause,[status(thm)],[f2510]) ).
fof(f2577,plain,
( ~ sQ177_spl
| sdtasasdt0(xs,xt) = sdtpldt0(sdtasasdt0(xp,xq),sdtasdt0(xA,sdtlbdtrb0(xt,aDimensionOf0(xt))))
| aDimensionOf0(xt) = sz00
| aDimensionOf0(xs) != aDimensionOf0(xt)
| ~ aVector0(xt) ),
inference(paramodulation,[status(thm)],[f168,f2507]) ).
fof(f2578,plain,
( ~ sQ177_spl
| sdtasasdt0(xs,xs) = sdtpldt0(sdtasasdt0(xp,xp),sdtasdt0(xA,sdtlbdtrb0(xs,aDimensionOf0(xs))))
| aDimensionOf0(xs) = sz00
| aDimensionOf0(xs) != aDimensionOf0(xs)
| ~ aVector0(xs) ),
inference(paramodulation,[status(thm)],[f166,f2507]) ).
fof(f2580,definition,
( sQ195_spl
<=> sdtasasdt0(xs,xt) = sdtpldt0(sdtasasdt0(xp,xq),sdtasdt0(xA,sdtlbdtrb0(xt,aDimensionOf0(xt)))) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f2581,plain,
( ~ sQ195_spl
| sdtasasdt0(xs,xt) = sdtpldt0(sdtasasdt0(xp,xq),sdtasdt0(xA,sdtlbdtrb0(xt,aDimensionOf0(xt)))) ),
inference(component_clause,[status(thm)],[f2580]) ).
fof(f2583,plain,
( ~ sQ177_spl
| sQ195_spl
| sQ13_spl
| ~ sQ14_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2577,f262,f289,f272,f2580,f2471]) ).
fof(f2584,definition,
( sQ196_spl
<=> sdtasasdt0(xs,xs) = sdtpldt0(sdtasasdt0(xp,xp),sdtasdt0(xA,sdtlbdtrb0(xs,aDimensionOf0(xs)))) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f2585,plain,
( ~ sQ196_spl
| sdtasasdt0(xs,xs) = sdtpldt0(sdtasasdt0(xp,xp),sdtasdt0(xA,sdtlbdtrb0(xs,aDimensionOf0(xs)))) ),
inference(component_clause,[status(thm)],[f2584]) ).
fof(f2587,plain,
( ~ sQ177_spl
| sQ196_spl
| sQ174_spl
| ~ sQ173_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f2578,f2454,f2457,f2460,f2584,f2471]) ).
fof(f2592,plain,
( ~ sQ195_spl
| sdtasasdt0(xs,xt) = sdtpldt0(xE,sdtasdt0(xA,sdtlbdtrb0(xt,aDimensionOf0(xt)))) ),
inference(forward_demodulation,[status(thm)],[f178,f2581]) ).
fof(f2593,plain,
( ~ sQ195_spl
| sdtasasdt0(xs,xt) = sdtpldt0(xE,sdtasdt0(xA,sdtlbdtrb0(xt,aDimensionOf0(xs)))) ),
inference(forward_demodulation,[status(thm)],[f163,f2592]) ).
fof(f2594,plain,
( ~ sQ195_spl
| sdtasasdt0(xs,xt) = sdtpldt0(xE,sdtasdt0(xA,xB)) ),
inference(forward_demodulation,[status(thm)],[f215,f2593]) ).
fof(f2595,plain,
( ~ sQ15_spl
| ~ sQ195_spl
| ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtpldt0(xE,xH)),sdtasdt0(sdtasasdt0(xs,xs),sdtpldt0(xD,xG))) ),
inference(backward_demodulation,[status(thm)],[f2618,f302]) ).
fof(f2618,plain,
( ~ sQ195_spl
| sdtasasdt0(xs,xt) = sdtpldt0(xE,xH) ),
inference(forward_demodulation,[status(thm)],[f184,f2594]) ).
fof(f2619,plain,
( ~ sQ196_spl
| sdtasasdt0(xs,xs) = sdtpldt0(xC,sdtasdt0(xA,sdtlbdtrb0(xs,aDimensionOf0(xs)))) ),
inference(forward_demodulation,[status(thm)],[f174,f2585]) ).
fof(f2620,plain,
( ~ sQ196_spl
| sdtasasdt0(xs,xs) = sdtpldt0(xC,sdtasdt0(xA,xA)) ),
inference(forward_demodulation,[status(thm)],[f170,f2619]) ).
fof(f2641,plain,
( ~ sQ196_spl
| sdtasasdt0(xs,xs) = sdtpldt0(xC,xF) ),
inference(forward_demodulation,[status(thm)],[f180,f2620]) ).
fof(f2646,plain,
( ~ sQ15_spl
| ~ sQ195_spl
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtasasdt0(xs,xs),sdtpldt0(xD,xG))) ),
inference(forward_demodulation,[status(thm)],[f2618,f2595]) ).
fof(f2647,plain,
( ~ sQ15_spl
| ~ sQ195_spl
| ~ sQ196_spl
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))) ),
inference(forward_demodulation,[status(thm)],[f2641,f2646]) ).
fof(f2648,plain,
( ~ sQ15_spl
| ~ sQ195_spl
| ~ sQ196_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2647,f195]) ).
fof(f2649,plain,
( ~ sQ15_spl
| ~ sQ195_spl
| ~ sQ196_spl ),
inference(contradiction_clause,[status(thm)],[f2648]) ).
fof(f2650,plain,
$false,
inference(sat_refutation,[status(thm)],[f268,f277,f280,f295,f298,f2474,f2504,f2506,f2511,f2583,f2587,f2649]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG080+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 04:19:59 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 7.09/1.47 % Refutation found
% 7.09/1.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 7.09/1.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.09/1.50 % Elapsed time: 1.122645 seconds
% 7.09/1.50 % CPU time: 8.521436 seconds
% 7.09/1.50 % Total memory used: 168.264 MB
% 7.09/1.50 % Net memory used: 163.568 MB
%------------------------------------------------------------------------------