%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU290+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 02:20:02 PM UTC 2026
% Result : Theorem 0.15s 10.45s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of formulae : 96 ( 21 unt; 8 def)
% Number of atoms : 310 ( 87 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 332 ( 118 ~; 123 |; 59 &)
% ( 19 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 8 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 142 ( 124 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [A,B,C] :
( element(C,powerset(cartesian_product2(A,B)))
=> relation(C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B,C] :
( relation_of2_as_subset(C,A,B)
=> ( ( B = empty_set
=> ( ( quasi_total(C,A,B)
<=> C = empty_set )
| A = empty_set ) )
& ( ( B = empty_set
=> A = empty_set )
=> ( quasi_total(C,A,B)
<=> A = relation_dom_as_subset(A,B,C) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A] :
( ( function(A)
& relation(A) )
=> ! [B] :
( B = relation_rng(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] :
( C = apply(A,D)
& in(D,relation_dom(A)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [A,B,C] :
( relation_of2_as_subset(C,A,B)
=> element(C,powerset(cartesian_product2(A,B))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
? [A] :
( empty(A)
& one_to_one(A)
& function(A)
& relation(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
? [A] :
( relation(A)
& empty(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [A,B,C] :
( relation_of2(C,A,B)
=> relation_dom_as_subset(A,B,C) = relation_dom(C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [A,B,C] :
( relation_of2_as_subset(C,A,B)
<=> relation_of2(C,A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,axiom,
! [A] :
( empty(A)
=> A = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
! [A,B,C,D] :
( ( relation_of2_as_subset(D,A,B)
& quasi_total(D,A,B)
& function(D) )
=> ( in(C,A)
=> ( in(apply(D,C),relation_rng(D))
| B = empty_set ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ! [A,B,C,D] :
( ( relation_of2_as_subset(D,A,B)
& quasi_total(D,A,B)
& function(D) )
=> ( in(C,A)
=> ( in(apply(D,C),relation_rng(D))
| B = empty_set ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f63,plain,
! [A,B,C] :
( relation(C)
| ~ element(C,powerset(cartesian_product2(A,B))) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f64,plain,
! [C] :
( relation(C)
| ! [A,B] : ~ element(C,powerset(cartesian_product2(A,B))) ),
inference(miniscoping,[status(thm)],[f63]) ).
fof(f65,plain,
! [X0,X1,X2] :
( relation(X0)
| ~ element(X0,powerset(cartesian_product2(X1,X2))) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f70,plain,
! [A,B,C] :
( ( ( ( quasi_total(C,A,B)
<=> C = empty_set )
| A = empty_set
| B != empty_set )
& ( ( quasi_total(C,A,B)
<=> A = relation_dom_as_subset(A,B,C) )
| ( A != empty_set
& B = empty_set ) ) )
| ~ relation_of2_as_subset(C,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f71,definition,
! [A,B] :
( sP0_prd(B,A)
<=> ( A != empty_set
& B = empty_set ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f72,plain,
! [A,B,C] :
( ( ( ( quasi_total(C,A,B)
<=> C = empty_set )
| A = empty_set
| B != empty_set )
& ( ( quasi_total(C,A,B)
<=> A = relation_dom_as_subset(A,B,C) )
| sP0_prd(B,A) ) )
| ~ relation_of2_as_subset(C,A,B) ),
inference(formula_renaming,[status(thm)],[f70,f71]) ).
fof(f73,plain,
! [A,B,C] :
( ( ( ( ( C != empty_set
| quasi_total(C,A,B) )
& ( C = empty_set
| ~ quasi_total(C,A,B) ) )
| A = empty_set
| B != empty_set )
& ( ( ( A != relation_dom_as_subset(A,B,C)
| quasi_total(C,A,B) )
& ( A = relation_dom_as_subset(A,B,C)
| ~ quasi_total(C,A,B) ) )
| sP0_prd(B,A) ) )
| ~ relation_of2_as_subset(C,A,B) ),
inference(NNF_transformation,[status(thm)],[f72]) ).
fof(f74,plain,
! [X0,X1,X2] :
( X1 = relation_dom_as_subset(X1,X2,X0)
| ~ quasi_total(X0,X1,X2)
| sP0_prd(X2,X1)
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f78,plain,
! [A] :
( ! [B] :
( B = relation_rng(A)
<=> ! [C] :
( in(C,B)
<=> ? [D] :
( C = apply(A,D)
& in(D,relation_dom(A)) ) ) )
| ~ function(A)
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f79,plain,
! [A] :
( ! [B] :
( ( ? [C] :
( ( ? [D] :
( C = apply(A,D)
& in(D,relation_dom(A)) )
| in(C,B) )
& ( ! [D] :
( C != apply(A,D)
| ~ in(D,relation_dom(A)) )
| ~ in(C,B) ) )
| B = relation_rng(A) )
& ( ! [C] :
( ( ! [D] :
( C != apply(A,D)
| ~ in(D,relation_dom(A)) )
| in(C,B) )
& ( ? [D] :
( C = apply(A,D)
& in(D,relation_dom(A)) )
| ~ in(C,B) ) )
| B != relation_rng(A) ) )
| ~ function(A)
| ~ relation(A) ),
inference(NNF_transformation,[status(thm)],[f78]) ).
fof(f80,plain,
! [A] :
( ( ! [B] :
( ? [C] :
( ( ? [D] :
( C = apply(A,D)
& in(D,relation_dom(A)) )
| in(C,B) )
& ( ! [D] :
( C != apply(A,D)
| ~ in(D,relation_dom(A)) )
| ~ in(C,B) ) )
| B = relation_rng(A) )
& ! [B] :
( ( ! [C] :
( ! [D] :
( C != apply(A,D)
| ~ in(D,relation_dom(A)) )
| in(C,B) )
& ! [C] :
( ? [D] :
( C = apply(A,D)
& in(D,relation_dom(A)) )
| ~ in(C,B) ) )
| B != relation_rng(A) ) )
| ~ function(A)
| ~ relation(A) ),
inference(miniscoping,[status(thm)],[f79]) ).
fof(f81,plain,
! [A] :
( ( ! [B] :
( ( ( ( sK1_skl(B,A) = apply(A,sK2_skl(B,A))
& in(sK2_skl(B,A),relation_dom(A)) )
| in(sK1_skl(B,A),B) )
& ( ! [D] :
( sK1_skl(B,A) != apply(A,D)
| ~ in(D,relation_dom(A)) )
| ~ in(sK1_skl(B,A),B) ) )
| B = relation_rng(A) )
& ! [B] :
( ( ! [C] :
( ! [D] :
( C != apply(A,D)
| ~ in(D,relation_dom(A)) )
| in(C,B) )
& ! [C] :
( ( C = apply(A,sK0_skl(C,B,A))
& in(sK0_skl(C,B,A),relation_dom(A)) )
| ~ in(C,B) ) )
| B != relation_rng(A) ) )
| ~ function(A)
| ~ relation(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(D,sK0_skl(C,B,A)),skolemize(C,sK1_skl(B,A)),skolemize(D,sK2_skl(B,A))],[f80]) ).
fof(f84,plain,
! [X0,X1,X2,X3] :
( X2 != apply(X0,X3)
| ~ in(X3,relation_dom(X0))
| in(X2,X1)
| X1 != relation_rng(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f90,plain,
! [A,B,C] :
( element(C,powerset(cartesian_product2(A,B)))
| ~ relation_of2_as_subset(C,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f91,plain,
! [X0,X1,X2] :
( element(X0,powerset(cartesian_product2(X1,X2)))
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f125,plain,
( empty(sK8_skl)
& one_to_one(sK8_skl)
& function(sK8_skl)
& relation(sK8_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(A,sK8_skl)],[f32]) ).
fof(f129,plain,
empty(sK8_skl),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f130,plain,
( relation(sK9_skl)
& empty(sK9_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(A,sK9_skl)],[f33]) ).
fof(f131,plain,
empty(sK9_skl),
inference(cnf_transformation,[status(thm)],[f130]) ).
fof(f166,plain,
! [A,B,C] :
( relation_dom_as_subset(A,B,C) = relation_dom(C)
| ~ relation_of2(C,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f44]) ).
fof(f167,plain,
! [X0,X1,X2] :
( relation_dom_as_subset(X1,X2,X0) = relation_dom(X0)
| ~ relation_of2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f168,plain,
! [A,B,C] :
( ( ~ relation_of2(C,A,B)
| relation_of2_as_subset(C,A,B) )
& ( relation_of2(C,A,B)
| ~ relation_of2_as_subset(C,A,B) ) ),
inference(NNF_transformation,[status(thm)],[f45]) ).
fof(f169,plain,
( ! [A,B,C] :
( ~ relation_of2(C,A,B)
| relation_of2_as_subset(C,A,B) )
& ! [A,B,C] :
( relation_of2(C,A,B)
| ~ relation_of2_as_subset(C,A,B) ) ),
inference(miniscoping,[status(thm)],[f168]) ).
fof(f170,plain,
! [X0,X1,X2] :
( relation_of2(X0,X1,X2)
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f188,plain,
! [A] :
( A = empty_set
| ~ empty(A) ),
inference(pre_NNF_transformation,[status(thm)],[f52]) ).
fof(f189,plain,
! [X0] :
( X0 = empty_set
| ~ empty(X0) ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f190,plain,
? [A,B,C,D] :
( ~ in(apply(D,C),relation_rng(D))
& B != empty_set
& in(C,A)
& relation_of2_as_subset(D,A,B)
& quasi_total(D,A,B)
& function(D) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f191,plain,
? [A,B,D] :
( ? [C] :
( ~ in(apply(D,C),relation_rng(D))
& B != empty_set
& in(C,A) )
& relation_of2_as_subset(D,A,B)
& quasi_total(D,A,B)
& function(D) ),
inference(miniscoping,[status(thm)],[f190]) ).
fof(f192,plain,
( ~ in(apply(sK22_skl,sK23_skl),relation_rng(sK22_skl))
& sK21_skl != empty_set
& in(sK23_skl,sK20_skl)
& relation_of2_as_subset(sK22_skl,sK20_skl,sK21_skl)
& quasi_total(sK22_skl,sK20_skl,sK21_skl)
& function(sK22_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl]),skolemize(A,sK20_skl),skolemize(B,sK21_skl),skolemize(D,sK22_skl),skolemize(C,sK23_skl)],[f191]) ).
fof(f193,plain,
function(sK22_skl),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f194,plain,
quasi_total(sK22_skl,sK20_skl,sK21_skl),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f195,plain,
relation_of2_as_subset(sK22_skl,sK20_skl,sK21_skl),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f196,plain,
in(sK23_skl,sK20_skl),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f197,plain,
sK21_skl != empty_set,
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f198,plain,
~ in(apply(sK22_skl,sK23_skl),relation_rng(sK22_skl)),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f205,plain,
! [A,B] :
( ( A = empty_set
| B != empty_set
| sP0_prd(B,A) )
& ( ( A != empty_set
& B = empty_set )
| ~ sP0_prd(B,A) ) ),
inference(NNF_transformation,[status(thm)],[f71]) ).
fof(f206,plain,
( ! [A,B] :
( A = empty_set
| B != empty_set
| sP0_prd(B,A) )
& ! [A,B] :
( ( A != empty_set
& B = empty_set )
| ~ sP0_prd(B,A) ) ),
inference(miniscoping,[status(thm)],[f205]) ).
fof(f207,plain,
! [X0,X1] :
( X0 = empty_set
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f214,plain,
! [X0,X1] :
( ~ in(X1,relation_dom(X0))
| in(apply(X0,X1),relation_rng(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f84]) ).
fof(f219,plain,
sK9_skl = empty_set,
inference(resolution,[status(thm)],[f189,f131]) ).
fof(f220,plain,
sK8_skl = empty_set,
inference(resolution,[status(thm)],[f189,f129]) ).
fof(f228,plain,
sK21_skl != sK9_skl,
inference(backward_demodulation,[status(thm)],[f219,f197]) ).
fof(f236,plain,
sK8_skl = empty_set,
inference(backward_demodulation,[status(thm)],[f239,f219]) ).
fof(f239,plain,
sK8_skl = sK9_skl,
inference(forward_demodulation,[status(thm)],[f219,f220]) ).
fof(f241,plain,
sK21_skl != sK8_skl,
inference(forward_demodulation,[status(thm)],[f239,f228]) ).
fof(f372,plain,
! [X0,X1] :
( X0 = sK8_skl
| ~ sP0_prd(X0,X1) ),
inference(forward_demodulation,[status(thm)],[f236,f207]) ).
fof(f374,plain,
! [X0,X1,X2] :
( X2 = relation_dom_as_subset(X2,X0,X1)
| ~ quasi_total(X1,X2,X0)
| ~ relation_of2_as_subset(X1,X2,X0)
| X0 = sK8_skl ),
inference(resolution,[status(thm)],[f372,f74]) ).
fof(f377,plain,
( sK20_skl = relation_dom_as_subset(sK20_skl,sK21_skl,sK22_skl)
| ~ quasi_total(sK22_skl,sK20_skl,sK21_skl)
| sK21_skl = sK8_skl ),
inference(resolution,[status(thm)],[f374,f195]) ).
fof(f378,definition,
( sQ13_spl
<=> sK21_skl = sK8_skl ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f379,plain,
( ~ sQ13_spl
| sK21_skl = sK8_skl ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f381,definition,
( sQ14_spl
<=> quasi_total(sK22_skl,sK20_skl,sK21_skl) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( sQ14_spl
| ~ quasi_total(sK22_skl,sK20_skl,sK21_skl) ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f384,definition,
( sQ15_spl
<=> sK20_skl = relation_dom_as_subset(sK20_skl,sK21_skl,sK22_skl) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f385,plain,
( ~ sQ15_spl
| sK20_skl = relation_dom_as_subset(sK20_skl,sK21_skl,sK22_skl) ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,plain,
( sQ15_spl
| ~ sQ14_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f377,f378,f381,f384]) ).
fof(f389,definition,
( sQ16_spl
<=> relation_of2(sK22_skl,sK20_skl,sK21_skl) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( ~ sQ16_spl
| relation_of2(sK22_skl,sK20_skl,sK21_skl) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f391,plain,
( sQ16_spl
| ~ relation_of2(sK22_skl,sK20_skl,sK21_skl) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f396,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f383,f194]) ).
fof(f397,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f396]) ).
fof(f398,plain,
( ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f379,f241]) ).
fof(f399,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f398]) ).
fof(f655,definition,
( sQ61_spl
<=> relation(sK22_skl) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f657,plain,
( sQ61_spl
| ~ relation(sK22_skl) ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f670,plain,
! [X0,X1] :
( sQ61_spl
| ~ element(sK22_skl,powerset(cartesian_product2(X0,X1))) ),
inference(resolution,[status(thm)],[f657,f65]) ).
fof(f693,definition,
( sQ63_spl
<=> function(sK22_skl) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f695,plain,
( sQ63_spl
| ~ function(sK22_skl) ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f776,plain,
( sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f695,f193]) ).
fof(f777,plain,
sQ63_spl,
inference(contradiction_clause,[status(thm)],[f776]) ).
fof(f1029,plain,
( sQ16_spl
| ~ relation_of2_as_subset(sK22_skl,sK20_skl,sK21_skl) ),
inference(resolution,[status(thm)],[f170,f391]) ).
fof(f1031,plain,
( sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1029,f195]) ).
fof(f1032,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f1031]) ).
fof(f1109,plain,
( ~ sQ16_spl
| relation_dom_as_subset(sK20_skl,sK21_skl,sK22_skl) = relation_dom(sK22_skl) ),
inference(resolution,[status(thm)],[f390,f167]) ).
fof(f1110,plain,
( ~ sQ16_spl
| ~ sQ15_spl
| sK20_skl = relation_dom(sK22_skl) ),
inference(forward_demodulation,[status(thm)],[f385,f1109]) ).
fof(f1173,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ15_spl
| ~ in(X0,sK20_skl)
| in(apply(sK22_skl,X0),relation_rng(sK22_skl))
| ~ function(sK22_skl)
| ~ relation(sK22_skl) ),
inference(paramodulation,[status(thm)],[f1110,f214]) ).
fof(f1230,definition,
! [X0] :
( sQ159_spl
<=> ( ~ in(X0,sK20_skl)
| in(apply(sK22_skl,X0),relation_rng(sK22_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1231,plain,
! [X0] :
( ~ sQ159_spl
| ~ in(X0,sK20_skl)
| in(apply(sK22_skl,X0),relation_rng(sK22_skl)) ),
inference(component_clause,[status(thm)],[f1230]) ).
fof(f1233,plain,
( ~ sQ16_spl
| ~ sQ15_spl
| sQ159_spl
| ~ sQ63_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1173,f655,f693,f1230,f384,f389]) ).
fof(f1333,plain,
! [X0,X1] :
( sQ61_spl
| ~ relation_of2_as_subset(sK22_skl,X0,X1) ),
inference(resolution,[status(thm)],[f670,f91]) ).
fof(f1337,plain,
( sQ61_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f195,f1333]) ).
fof(f1339,plain,
sQ61_spl,
inference(contradiction_clause,[status(thm)],[f1337]) ).
fof(f1601,plain,
( ~ sQ159_spl
| in(apply(sK22_skl,sK23_skl),relation_rng(sK22_skl)) ),
inference(resolution,[status(thm)],[f1231,f196]) ).
fof(f1604,plain,
( ~ sQ159_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1601,f198]) ).
fof(f1605,plain,
~ sQ159_spl,
inference(contradiction_clause,[status(thm)],[f1604]) ).
fof(f1606,plain,
$false,
inference(sat_refutation,[status(thm)],[f387,f397,f399,f777,f1032,f1233,f1339,f1605]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU290+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/10.38 % Computer : n013.cluster.edu
% 0.11/10.38 % Model : x86_64 x86_64
% 0.11/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.38 % Memory : 8046.5625MB
% 0.11/10.38 % OS : Linux 6.8.0-71-generic
% 0.11/10.38 % CPULimit : 300
% 0.11/10.38 % WCLimit : 300
% 0.11/10.38 % DateTime : Mon Sep 21 06:07:49 UTC 2026
% 0.11/10.38 % CPUTime :
% 0.11/10.40 % Drodi V4.1.1
% 0.15/10.45 % Refutation found
% 0.15/10.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/10.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/10.48 % Elapsed time: 0.076526 seconds
% 0.15/10.48 % CPU time: 0.357621 seconds
% 0.15/10.48 % Total memory used: 89.146 MB
% 0.15/10.48 % Net memory used: 88.565 MB
%------------------------------------------------------------------------------