%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : RNG055+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 02:04:48 PM UTC 2026
% Result : Theorem 33.10s 4.69s
% Output : CNFRefutation 20.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 34
% Syntax : Number of formulae : 143 ( 34 unt; 18 def)
% Number of atoms : 308 ( 66 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 292 ( 127 ~; 125 |; 20 &)
% ( 18 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 19 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 17 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [W0,W1] :
( ( aScalar0(W1)
& aScalar0(W0) )
=> aScalar0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [W0,W1,W2] :
( ( aScalar0(W2)
& aScalar0(W1)
& aScalar0(W0) )
=> ( sdtasdt0(W0,W1) = sdtasdt0(W1,W0)
& sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2))
& sdtpldt0(W0,W1) = sdtpldt0(W1,W0)
& sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,hypothesis,
( aVector0(xt)
& aVector0(xs) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,hypothesis,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,hypothesis,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(xA) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,hypothesis,
( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,hypothesis,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,hypothesis,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,hypothesis,
( xE = sdtasasdt0(xp,xq)
& aScalar0(xE) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,hypothesis,
( xF = sdtasdt0(xA,xA)
& aScalar0(xF) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,hypothesis,
( xG = sdtasdt0(xB,xB)
& aScalar0(xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,hypothesis,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,hypothesis,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,hypothesis,
( xN = sdtasdt0(xR,xS)
& aScalar0(xN) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,conjecture,
sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
sdtasdt0(xP,xP) != sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f82,plain,
! [W0,W1] :
( aScalar0(sdtasdt0(W0,W1))
| ~ aScalar0(W1)
| ~ aScalar0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f83,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f95,plain,
! [W0,W1,W2] :
( ( sdtasdt0(W0,W1) = sdtasdt0(W1,W0)
& sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2))
& sdtpldt0(W0,W1) = sdtpldt0(W1,W0)
& sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) )
| ~ aScalar0(W2)
| ~ aScalar0(W1)
| ~ aScalar0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f98,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f99,plain,
! [X0,X1,X2] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f157,plain,
aVector0(xs),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f158,plain,
aVector0(xt),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f161,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f162,plain,
aDimensionOf0(xs) != sz00,
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f173,plain,
aScalar0(xA),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f175,plain,
aScalar0(xB),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f177,plain,
aScalar0(xC),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f179,plain,
aScalar0(xD),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f181,plain,
aScalar0(xE),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f183,plain,
aScalar0(xF),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f185,plain,
aScalar0(xG),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f187,plain,
aScalar0(xH),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f188,plain,
xH = sdtasdt0(xA,xB),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f191,plain,
aScalar0(xP),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f192,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f195,plain,
aScalar0(xN),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f198,plain,
sdtasdt0(xP,xP) != sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f199,definition,
! [X0] :
( sQ0_spl
<=> ~ aScalar0(X0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f200,plain,
! [X0] :
( ~ sQ0_spl
| ~ aScalar0(X0) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f210,definition,
! [X0,X1] :
( sQ3_spl
<=> ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f211,plain,
! [X0,X1] :
( ~ sQ3_spl
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,plain,
( sQ0_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f99,f210,f199]) ).
fof(f219,plain,
( ~ sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f195,f200]) ).
fof(f234,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f219]) ).
fof(f235,plain,
! [X0] :
( ~ sQ3_spl
| sdtasdt0(X0,xH) = sdtasdt0(xH,X0)
| ~ aScalar0(X0) ),
inference(resolution,[status(thm)],[f211,f187]) ).
fof(f236,plain,
! [X0] :
( ~ sQ3_spl
| sdtasdt0(X0,xP) = sdtasdt0(xP,X0)
| ~ aScalar0(X0) ),
inference(resolution,[status(thm)],[f211,f191]) ).
fof(f238,plain,
! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,xH),X1) = sdtasdt0(X0,sdtasdt0(xH,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[status(thm)],[f98,f187]) ).
fof(f240,plain,
! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,xP),X1) = sdtasdt0(X0,sdtasdt0(xP,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[status(thm)],[f98,f191]) ).
fof(f248,plain,
( aScalar0(xP)
| ~ aScalar0(xH)
| ~ aScalar0(xE) ),
inference(paramodulation,[status(thm)],[f192,f83]) ).
fof(f249,plain,
( aScalar0(xH)
| ~ aScalar0(xB)
| ~ aScalar0(xA) ),
inference(paramodulation,[status(thm)],[f188,f83]) ).
fof(f250,definition,
( sQ4_spl
<=> aScalar0(xE) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f252,plain,
( sQ4_spl
| ~ aScalar0(xE) ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,definition,
( sQ5_spl
<=> aScalar0(xH) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f256,definition,
( sQ6_spl
<=> aScalar0(xP) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f248,f250,f253,f256]) ).
fof(f260,definition,
( sQ7_spl
<=> aScalar0(xA) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f262,plain,
( sQ7_spl
| ~ aScalar0(xA) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,definition,
( sQ8_spl
<=> aScalar0(xB) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f265,plain,
( sQ8_spl
| ~ aScalar0(xB) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,plain,
( sQ5_spl
| ~ sQ8_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f249,f260,f263,f253]) ).
fof(f267,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f265,f175]) ).
fof(f268,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f267]) ).
fof(f269,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f262,f173]) ).
fof(f270,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f269]) ).
fof(f271,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f252,f181]) ).
fof(f272,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f271]) ).
fof(f273,plain,
! [X0] :
( sdtasdt0(sdtasdt0(X0,xE),xE) = sdtasdt0(X0,sdtasdt0(xE,xE))
| ~ aScalar0(X0) ),
inference(resolution,[status(thm)],[f181,f98]) ).
fof(f277,plain,
! [X0] :
( ~ sQ3_spl
| sdtasdt0(X0,xE) = sdtasdt0(xE,X0)
| ~ aScalar0(X0) ),
inference(resolution,[status(thm)],[f181,f211]) ).
fof(f279,definition,
( sQ9_spl
<=> aScalar0(xC) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f281,plain,
( sQ9_spl
| ~ aScalar0(xC) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,definition,
( sQ10_spl
<=> aScalar0(xG) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f284,plain,
( sQ10_spl
| ~ aScalar0(xG) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f290,definition,
( sQ12_spl
<=> aScalar0(xF) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( sQ12_spl
| ~ aScalar0(xF) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,definition,
( sQ13_spl
<=> aScalar0(xD) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( sQ13_spl
| ~ aScalar0(xD) ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f300,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f295,f179]) ).
fof(f301,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f300]) ).
fof(f302,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f292,f183]) ).
fof(f303,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f302]) ).
fof(f316,plain,
( ~ sQ3_spl
| sdtasdt0(xE,xH) = sdtasdt0(xH,xE) ),
inference(resolution,[status(thm)],[f235,f181]) ).
fof(f319,plain,
( ~ sQ3_spl
| sdtasdt0(xP,xH) = sdtasdt0(xH,xP) ),
inference(resolution,[status(thm)],[f235,f191]) ).
fof(f320,plain,
( ~ sQ3_spl
| xP = sdtasdt0(xH,xE) ),
inference(forward_demodulation,[status(thm)],[f192,f316]) ).
fof(f321,plain,
( ~ sQ3_spl
| sdtasdt0(xE,xP) = sdtasdt0(xP,xE) ),
inference(resolution,[status(thm)],[f236,f181]) ).
fof(f334,plain,
( ~ sQ3_spl
| aScalar0(sdtasdt0(xH,xP))
| ~ aScalar0(xH)
| ~ aScalar0(xP) ),
inference(paramodulation,[status(thm)],[f319,f83]) ).
fof(f335,definition,
( sQ17_spl
<=> aScalar0(sdtasdt0(xH,xP)) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f336,plain,
( ~ sQ17_spl
| aScalar0(sdtasdt0(xH,xP)) ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,plain,
( ~ sQ3_spl
| sQ17_spl
| ~ sQ5_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f334,f256,f253,f335,f210]) ).
fof(f339,plain,
! [X0] :
( sdtasdt0(sdtasdt0(X0,xH),xE) = sdtasdt0(X0,sdtasdt0(xH,xE))
| ~ aScalar0(X0) ),
inference(resolution,[status(thm)],[f238,f181]) ).
fof(f343,plain,
! [X0] :
( ~ sQ3_spl
| sdtasdt0(sdtasdt0(X0,xH),xE) = sdtasdt0(X0,xP)
| ~ aScalar0(X0) ),
inference(forward_demodulation,[status(thm)],[f320,f339]) ).
fof(f348,plain,
! [X0] :
( sdtasdt0(sdtasdt0(X0,xP),xE) = sdtasdt0(X0,sdtasdt0(xP,xE))
| ~ aScalar0(X0) ),
inference(resolution,[status(thm)],[f240,f181]) ).
fof(f350,plain,
! [X0] :
( sdtasdt0(sdtasdt0(X0,xP),xH) = sdtasdt0(X0,sdtasdt0(xP,xH))
| ~ aScalar0(X0) ),
inference(resolution,[status(thm)],[f240,f187]) ).
fof(f352,plain,
! [X0] :
( ~ sQ3_spl
| sdtasdt0(sdtasdt0(X0,xP),xE) = sdtasdt0(X0,sdtasdt0(xE,xP))
| ~ aScalar0(X0) ),
inference(forward_demodulation,[status(thm)],[f321,f348]) ).
fof(f353,plain,
! [X0] :
( ~ sQ3_spl
| sdtasdt0(sdtasdt0(X0,xP),xH) = sdtasdt0(X0,sdtasdt0(xH,xP))
| ~ aScalar0(X0) ),
inference(forward_demodulation,[status(thm)],[f319,f350]) ).
fof(f365,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f284,f185]) ).
fof(f366,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f365]) ).
fof(f367,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f281,f177]) ).
fof(f368,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f367]) ).
fof(f391,plain,
( ~ sQ3_spl
| aScalar0(sdtasdt0(xE,xP))
| ~ aScalar0(xE)
| ~ aScalar0(xP) ),
inference(paramodulation,[status(thm)],[f321,f83]) ).
fof(f392,definition,
( sQ19_spl
<=> aScalar0(sdtasdt0(xE,xP)) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( ~ sQ19_spl
| aScalar0(sdtasdt0(xE,xP)) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,plain,
( ~ sQ3_spl
| sQ19_spl
| ~ sQ4_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f391,f256,f250,f392,f210]) ).
fof(f412,plain,
( ~ sQ3_spl
| ~ sQ19_spl
| sdtasdt0(sdtasdt0(xE,xP),xH) = sdtasdt0(xH,sdtasdt0(xE,xP)) ),
inference(resolution,[status(thm)],[f393,f235]) ).
fof(f451,plain,
( ~ sQ17_spl
| ~ sQ3_spl
| sdtasdt0(sdtasdt0(xH,xP),xE) = sdtasdt0(xE,sdtasdt0(xH,xP)) ),
inference(resolution,[status(thm)],[f277,f336]) ).
fof(f457,definition,
( sQ20_spl
<=> aScalar0(sdtasdt0(xH,xH)) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f458,plain,
( ~ sQ20_spl
| aScalar0(sdtasdt0(xH,xH)) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f459,plain,
( sQ20_spl
| ~ aScalar0(sdtasdt0(xH,xH)) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f566,definition,
( sQ22_spl
<=> aDimensionOf0(xs) = sz00 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f567,plain,
( ~ sQ22_spl
| aDimensionOf0(xs) = sz00 ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f573,plain,
( ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f567,f162]) ).
fof(f574,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f573]) ).
fof(f664,definition,
( sQ27_spl
<=> aDimensionOf0(xt) = sz00 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f665,plain,
( ~ sQ27_spl
| aDimensionOf0(xt) = sz00 ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f671,plain,
( ~ sQ27_spl
| aDimensionOf0(xs) = sz00 ),
inference(forward_demodulation,[status(thm)],[f161,f665]) ).
fof(f672,plain,
( ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f671,f162]) ).
fof(f673,plain,
~ sQ27_spl,
inference(contradiction_clause,[status(thm)],[f672]) ).
fof(f690,definition,
( sQ29_spl
<=> aVector0(xs) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f692,plain,
( sQ29_spl
| ~ aVector0(xs) ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,definition,
( sQ30_spl
<=> aVector0(xt) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f695,plain,
( sQ30_spl
| ~ aVector0(xt) ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f748,plain,
( sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f695,f158]) ).
fof(f749,plain,
sQ30_spl,
inference(contradiction_clause,[status(thm)],[f748]) ).
fof(f750,plain,
( sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f692,f157]) ).
fof(f751,plain,
sQ29_spl,
inference(contradiction_clause,[status(thm)],[f750]) ).
fof(f821,plain,
( ~ sQ3_spl
| sdtasdt0(sdtasdt0(xH,xH),xE) = sdtasdt0(xH,xP) ),
inference(resolution,[status(thm)],[f343,f187]) ).
fof(f822,plain,
( ~ sQ3_spl
| sdtasdt0(sdtasdt0(xP,xH),xE) = sdtasdt0(xP,xP) ),
inference(resolution,[status(thm)],[f343,f191]) ).
fof(f827,plain,
( ~ sQ3_spl
| sdtasdt0(sdtasdt0(xH,xP),xE) = sdtasdt0(xP,xP) ),
inference(forward_demodulation,[status(thm)],[f319,f822]) ).
fof(f833,plain,
( ~ sQ3_spl
| ~ sQ17_spl
| sdtasdt0(xE,sdtasdt0(xH,xP)) = sdtasdt0(xP,xP) ),
inference(forward_demodulation,[status(thm)],[f451,f827]) ).
fof(f855,plain,
( sQ20_spl
| ~ aScalar0(xH)
| ~ aScalar0(xH) ),
inference(resolution,[status(thm)],[f459,f83]) ).
fof(f856,plain,
( sQ20_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f855,f253,f457]) ).
fof(f875,plain,
( ~ sQ20_spl
| sdtasdt0(sdtasdt0(sdtasdt0(xH,xH),xE),xE) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) ),
inference(resolution,[status(thm)],[f458,f273]) ).
fof(f915,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| sdtasdt0(xP,xP) != sdtasdt0(sdtasdt0(xH,xP),xE) ),
inference(backward_demodulation,[status(thm)],[f916,f198]) ).
fof(f916,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| sdtasdt0(sdtasdt0(xH,xP),xE) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) ),
inference(forward_demodulation,[status(thm)],[f821,f875]) ).
fof(f1156,plain,
( ~ sQ3_spl
| sdtasdt0(sdtasdt0(xH,xP),xE) = sdtasdt0(xH,sdtasdt0(xE,xP)) ),
inference(resolution,[status(thm)],[f352,f187]) ).
fof(f1168,plain,
( ~ sQ20_spl
| ~ sQ3_spl
| sdtasdt0(xP,xP) != sdtasdt0(xH,sdtasdt0(xE,xP)) ),
inference(backward_demodulation,[status(thm)],[f1156,f915]) ).
fof(f1470,plain,
( ~ sQ3_spl
| sdtasdt0(sdtasdt0(xE,xP),xH) = sdtasdt0(xE,sdtasdt0(xH,xP)) ),
inference(resolution,[status(thm)],[f353,f181]) ).
fof(f1481,plain,
( ~ sQ3_spl
| ~ sQ19_spl
| sdtasdt0(xH,sdtasdt0(xE,xP)) = sdtasdt0(xE,sdtasdt0(xH,xP)) ),
inference(forward_demodulation,[status(thm)],[f412,f1470]) ).
fof(f1482,plain,
( ~ sQ3_spl
| ~ sQ19_spl
| ~ sQ17_spl
| sdtasdt0(xH,sdtasdt0(xE,xP)) = sdtasdt0(xP,xP) ),
inference(forward_demodulation,[status(thm)],[f833,f1481]) ).
fof(f1483,plain,
( ~ sQ3_spl
| ~ sQ19_spl
| ~ sQ17_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1482,f1168]) ).
fof(f1484,plain,
( ~ sQ3_spl
| ~ sQ19_spl
| ~ sQ17_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1483]) ).
fof(f1485,plain,
$false,
inference(sat_refutation,[status(thm)],[f213,f234,f259,f266,f268,f270,f272,f301,f303,f338,f366,f368,f395,f574,f673,f749,f751,f856,f1484]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG055+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 04:16:05 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.14/0.40 % Drodi V4.1.1
% 33.10/4.69 % Refutation found
% 33.10/4.69 % SZS status Theorem for theBenchmark: Theorem is valid
% 33.10/4.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 20.31/4.76 % Elapsed time: 4.365712 seconds
% 20.31/4.76 % CPU time: 34.074254 seconds
% 20.31/4.76 % Total memory used: 287.498 MB
% 20.31/4.76 % Net memory used: 274.103 MB
%------------------------------------------------------------------------------