%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU304+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 02:20:06 PM UTC 2026
% Result : Theorem 0.21s 10.51s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 20
% Syntax : Number of formulae : 97 ( 14 unt; 13 def)
% Number of atoms : 338 ( 39 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 396 ( 155 ~; 167 |; 41 &)
% ( 17 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 14 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 95 ( 90 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [A,B,C] :
( ( element(C,the_carrier(A))
& element(B,the_carrier(A))
& meet_semilatt_str(A)
& meet_commutative(A)
& ~ empty_carrier(A) )
=> meet_commut(A,B,C) = meet_commut(A,C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A] :
( ( join_semilatt_str(A)
& ~ empty_carrier(A) )
=> ! [B] :
( element(B,the_carrier(A))
=> ! [C] :
( element(C,the_carrier(A))
=> ( below(A,B,C)
<=> join(A,B,C) = C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] :
( ( latt_str(A)
& ~ empty_carrier(A) )
=> ( meet_absorbing(A)
<=> ! [B] :
( element(B,the_carrier(A))
=> ! [C] :
( element(C,the_carrier(A))
=> join(A,meet(A,B,C),C) = C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [A,B,C] :
( ( element(C,the_carrier(A))
& element(B,the_carrier(A))
& meet_semilatt_str(A)
& meet_commutative(A)
& ~ empty_carrier(A) )
=> element(meet_commut(A,B,C),the_carrier(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [A] :
( latt_str(A)
=> ( join_semilatt_str(A)
& meet_semilatt_str(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [A,B,C] :
( ( element(C,the_carrier(A))
& element(B,the_carrier(A))
& meet_semilatt_str(A)
& meet_commutative(A)
& ~ empty_carrier(A) )
=> meet_commut(A,B,C) = meet(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,conjecture,
! [A] :
( ( latt_str(A)
& meet_absorbing(A)
& meet_commutative(A)
& ~ empty_carrier(A) )
=> ! [B] :
( element(B,the_carrier(A))
=> ! [C] :
( element(C,the_carrier(A))
=> below(A,meet_commut(A,B,C),B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
~ ! [A] :
( ( latt_str(A)
& meet_absorbing(A)
& meet_commutative(A)
& ~ empty_carrier(A) )
=> ! [B] :
( element(B,the_carrier(A))
=> ! [C] :
( element(C,the_carrier(A))
=> below(A,meet_commut(A,B,C),B) ) ) ),
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f59,plain,
! [A,B,C] :
( meet_commut(A,B,C) = meet_commut(A,C,B)
| ~ element(C,the_carrier(A))
| ~ element(B,the_carrier(A))
| ~ meet_semilatt_str(A)
| ~ meet_commutative(A)
| empty_carrier(A) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f60,plain,
! [X0,X1,X2] :
( meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f65,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( below(A,B,C)
<=> join(A,B,C) = C )
| ~ element(C,the_carrier(A)) )
| ~ element(B,the_carrier(A)) )
| ~ join_semilatt_str(A)
| empty_carrier(A) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f66,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( join(A,B,C) != C
| below(A,B,C) )
& ( join(A,B,C) = C
| ~ below(A,B,C) ) )
| ~ element(C,the_carrier(A)) )
| ~ element(B,the_carrier(A)) )
| ~ join_semilatt_str(A)
| empty_carrier(A) ),
inference(NNF_transformation,[status(thm)],[f65]) ).
fof(f68,plain,
! [X0,X1,X2] :
( join(X0,X1,X2) != X2
| below(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ join_semilatt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f69,plain,
! [A] :
( ( meet_absorbing(A)
<=> ! [B] :
( ! [C] :
( join(A,meet(A,B,C),C) = C
| ~ element(C,the_carrier(A)) )
| ~ element(B,the_carrier(A)) ) )
| ~ latt_str(A)
| empty_carrier(A) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f70,plain,
! [A] :
( ( ( ? [B] :
( ? [C] :
( join(A,meet(A,B,C),C) != C
& element(C,the_carrier(A)) )
& element(B,the_carrier(A)) )
| meet_absorbing(A) )
& ( ! [B] :
( ! [C] :
( join(A,meet(A,B,C),C) = C
| ~ element(C,the_carrier(A)) )
| ~ element(B,the_carrier(A)) )
| ~ meet_absorbing(A) ) )
| ~ latt_str(A)
| empty_carrier(A) ),
inference(NNF_transformation,[status(thm)],[f69]) ).
fof(f71,plain,
! [A] :
( ( ( ( join(A,meet(A,sK0_skl(A),sK1_skl(A)),sK1_skl(A)) != sK1_skl(A)
& element(sK1_skl(A),the_carrier(A))
& element(sK0_skl(A),the_carrier(A)) )
| meet_absorbing(A) )
& ( ! [B] :
( ! [C] :
( join(A,meet(A,B,C),C) = C
| ~ element(C,the_carrier(A)) )
| ~ element(B,the_carrier(A)) )
| ~ meet_absorbing(A) ) )
| ~ latt_str(A)
| empty_carrier(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(B,sK0_skl(A)),skolemize(C,sK1_skl(A))],[f70]) ).
fof(f72,plain,
! [X0,X1,X2] :
( join(X0,meet(X0,X1,X2),X2) = X2
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_absorbing(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f82,plain,
! [A,B,C] :
( element(meet_commut(A,B,C),the_carrier(A))
| ~ element(C,the_carrier(A))
| ~ element(B,the_carrier(A))
| ~ meet_semilatt_str(A)
| ~ meet_commutative(A)
| empty_carrier(A) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f83,plain,
! [X0,X1,X2] :
( element(meet_commut(X0,X1,X2),the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f88,plain,
! [A] :
( ( join_semilatt_str(A)
& meet_semilatt_str(A) )
| ~ latt_str(A) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f89,plain,
! [X0] :
( meet_semilatt_str(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f90,plain,
! [X0] :
( join_semilatt_str(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f131,plain,
! [A,B,C] :
( meet_commut(A,B,C) = meet(A,B,C)
| ~ element(C,the_carrier(A))
| ~ element(B,the_carrier(A))
| ~ meet_semilatt_str(A)
| ~ meet_commutative(A)
| empty_carrier(A) ),
inference(pre_NNF_transformation,[status(thm)],[f39]) ).
fof(f132,plain,
! [X0,X1,X2] :
( meet_commut(X0,X1,X2) = meet(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f141,plain,
? [A] :
( ? [B] :
( ? [C] :
( ~ below(A,meet_commut(A,B,C),B)
& element(C,the_carrier(A)) )
& element(B,the_carrier(A)) )
& latt_str(A)
& meet_absorbing(A)
& meet_commutative(A)
& ~ empty_carrier(A) ),
inference(pre_NNF_transformation,[status(thm)],[f44]) ).
fof(f142,plain,
( ~ below(sK11_skl,meet_commut(sK11_skl,sK12_skl,sK13_skl),sK12_skl)
& element(sK13_skl,the_carrier(sK11_skl))
& element(sK12_skl,the_carrier(sK11_skl))
& latt_str(sK11_skl)
& meet_absorbing(sK11_skl)
& meet_commutative(sK11_skl)
& ~ empty_carrier(sK11_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl,sK13_skl]),skolemize(A,sK11_skl),skolemize(B,sK12_skl),skolemize(C,sK13_skl)],[f141]) ).
fof(f143,plain,
~ empty_carrier(sK11_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f144,plain,
meet_commutative(sK11_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f145,plain,
meet_absorbing(sK11_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f146,plain,
latt_str(sK11_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f147,plain,
element(sK12_skl,the_carrier(sK11_skl)),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f148,plain,
element(sK13_skl,the_carrier(sK11_skl)),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f149,plain,
~ below(sK11_skl,meet_commut(sK11_skl,sK12_skl,sK13_skl),sK12_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f185,plain,
! [X0] :
( join(sK11_skl,meet(sK11_skl,X0,sK12_skl),sK12_skl) = sK12_skl
| ~ element(X0,the_carrier(sK11_skl))
| ~ meet_absorbing(sK11_skl)
| ~ latt_str(sK11_skl)
| empty_carrier(sK11_skl) ),
inference(resolution,[status(thm)],[f147,f72]) ).
fof(f187,definition,
( sQ3_spl
<=> empty_carrier(sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f188,plain,
( ~ sQ3_spl
| empty_carrier(sK11_skl) ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f190,definition,
( sQ4_spl
<=> meet_semilatt_str(sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( sQ4_spl
| ~ meet_semilatt_str(sK11_skl) ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f204,definition,
( sQ8_spl
<=> latt_str(sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( sQ8_spl
| ~ latt_str(sK11_skl) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,definition,
( sQ9_spl
<=> meet_absorbing(sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( sQ9_spl
| ~ meet_absorbing(sK11_skl) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,definition,
! [X0] :
( sQ10_spl
<=> ( join(sK11_skl,meet(sK11_skl,X0,sK12_skl),sK12_skl) = sK12_skl
| ~ element(X0,the_carrier(sK11_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f211,plain,
! [X0] :
( ~ sQ10_spl
| join(sK11_skl,meet(sK11_skl,X0,sK12_skl),sK12_skl) = sK12_skl
| ~ element(X0,the_carrier(sK11_skl)) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,plain,
( sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f185,f187,f204,f207,f210]) ).
fof(f214,definition,
( sQ11_spl
<=> meet_commutative(sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f216,plain,
( sQ11_spl
| ~ meet_commutative(sK11_skl) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f221,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f188,f143]) ).
fof(f222,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f221]) ).
fof(f223,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f216,f144]) ).
fof(f224,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f223]) ).
fof(f228,plain,
! [X0] :
( meet_commut(sK11_skl,X0,sK13_skl) = meet_commut(sK11_skl,sK13_skl,X0)
| ~ element(X0,the_carrier(sK11_skl))
| ~ meet_semilatt_str(sK11_skl)
| ~ meet_commutative(sK11_skl)
| empty_carrier(sK11_skl) ),
inference(resolution,[status(thm)],[f148,f60]) ).
fof(f241,definition,
! [X0] :
( sQ16_spl
<=> ( meet_commut(sK11_skl,X0,sK13_skl) = meet_commut(sK11_skl,sK13_skl,X0)
| ~ element(X0,the_carrier(sK11_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f242,plain,
! [X0] :
( ~ sQ16_spl
| meet_commut(sK11_skl,X0,sK13_skl) = meet_commut(sK11_skl,sK13_skl,X0)
| ~ element(X0,the_carrier(sK11_skl)) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,plain,
( sQ16_spl
| ~ sQ4_spl
| ~ sQ11_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f228,f187,f214,f190,f241]) ).
fof(f245,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f209,f145]) ).
fof(f246,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f245]) ).
fof(f247,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f206,f146]) ).
fof(f248,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f247]) ).
fof(f249,plain,
( sQ4_spl
| ~ latt_str(sK11_skl) ),
inference(resolution,[status(thm)],[f192,f89]) ).
fof(f250,plain,
( sQ4_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f249,f204,f190]) ).
fof(f251,plain,
! [X0,X1] :
( element(meet_commut(sK11_skl,X0,X1),the_carrier(sK11_skl))
| ~ element(X1,the_carrier(sK11_skl))
| ~ element(X0,the_carrier(sK11_skl))
| ~ meet_semilatt_str(sK11_skl)
| empty_carrier(sK11_skl) ),
inference(resolution,[status(thm)],[f83,f144]) ).
fof(f252,definition,
! [X0,X1] :
( sQ17_spl
<=> ( element(meet_commut(sK11_skl,X0,X1),the_carrier(sK11_skl))
| ~ element(X1,the_carrier(sK11_skl))
| ~ element(X0,the_carrier(sK11_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f253,plain,
! [X0,X1] :
( ~ sQ17_spl
| element(meet_commut(sK11_skl,X0,X1),the_carrier(sK11_skl))
| ~ element(X1,the_carrier(sK11_skl))
| ~ element(X0,the_carrier(sK11_skl)) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( sQ17_spl
| ~ sQ4_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f251,f187,f190,f252]) ).
fof(f256,plain,
join_semilatt_str(sK11_skl),
inference(resolution,[status(thm)],[f90,f146]) ).
fof(f257,plain,
! [X0,X1] :
( meet_commut(sK11_skl,X0,X1) = meet(sK11_skl,X0,X1)
| ~ element(X1,the_carrier(sK11_skl))
| ~ element(X0,the_carrier(sK11_skl))
| ~ meet_semilatt_str(sK11_skl)
| empty_carrier(sK11_skl) ),
inference(resolution,[status(thm)],[f132,f144]) ).
fof(f258,definition,
! [X0,X1] :
( sQ18_spl
<=> ( meet_commut(sK11_skl,X0,X1) = meet(sK11_skl,X0,X1)
| ~ element(X1,the_carrier(sK11_skl))
| ~ element(X0,the_carrier(sK11_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f259,plain,
! [X0,X1] :
( ~ sQ18_spl
| meet_commut(sK11_skl,X0,X1) = meet(sK11_skl,X0,X1)
| ~ element(X1,the_carrier(sK11_skl))
| ~ element(X0,the_carrier(sK11_skl)) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,plain,
( sQ18_spl
| ~ sQ4_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f257,f187,f190,f258]) ).
fof(f282,plain,
( ~ sQ10_spl
| join(sK11_skl,meet(sK11_skl,sK13_skl,sK12_skl),sK12_skl) = sK12_skl ),
inference(resolution,[status(thm)],[f211,f148]) ).
fof(f307,plain,
( ~ sQ16_spl
| meet_commut(sK11_skl,sK12_skl,sK13_skl) = meet_commut(sK11_skl,sK13_skl,sK12_skl) ),
inference(resolution,[status(thm)],[f242,f147]) ).
fof(f309,plain,
! [X0,X1] :
( join(sK11_skl,X0,X1) != X1
| below(sK11_skl,X0,X1)
| ~ element(X1,the_carrier(sK11_skl))
| ~ element(X0,the_carrier(sK11_skl))
| empty_carrier(sK11_skl) ),
inference(resolution,[status(thm)],[f256,f68]) ).
fof(f315,definition,
! [X0,X1] :
( sQ28_spl
<=> ( join(sK11_skl,X0,X1) != X1
| below(sK11_skl,X0,X1)
| ~ element(X1,the_carrier(sK11_skl))
| ~ element(X0,the_carrier(sK11_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f316,plain,
! [X0,X1] :
( ~ sQ28_spl
| join(sK11_skl,X0,X1) != X1
| below(sK11_skl,X0,X1)
| ~ element(X1,the_carrier(sK11_skl))
| ~ element(X0,the_carrier(sK11_skl)) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,plain,
( sQ28_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f309,f187,f315]) ).
fof(f324,plain,
! [X0] :
( ~ sQ17_spl
| element(meet_commut(sK11_skl,X0,sK13_skl),the_carrier(sK11_skl))
| ~ element(X0,the_carrier(sK11_skl)) ),
inference(resolution,[status(thm)],[f253,f148]) ).
fof(f327,plain,
! [X0] :
( ~ sQ18_spl
| meet_commut(sK11_skl,X0,sK12_skl) = meet(sK11_skl,X0,sK12_skl)
| ~ element(X0,the_carrier(sK11_skl)) ),
inference(resolution,[status(thm)],[f259,f147]) ).
fof(f364,plain,
( ~ sQ17_spl
| element(meet_commut(sK11_skl,sK12_skl,sK13_skl),the_carrier(sK11_skl)) ),
inference(resolution,[status(thm)],[f324,f147]) ).
fof(f373,plain,
( ~ sQ28_spl
| join(sK11_skl,meet_commut(sK11_skl,sK12_skl,sK13_skl),sK12_skl) != sK12_skl
| ~ element(sK12_skl,the_carrier(sK11_skl))
| ~ element(meet_commut(sK11_skl,sK12_skl,sK13_skl),the_carrier(sK11_skl)) ),
inference(resolution,[status(thm)],[f316,f149]) ).
fof(f374,definition,
( sQ34_spl
<=> element(meet_commut(sK11_skl,sK12_skl,sK13_skl),the_carrier(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f376,plain,
( sQ34_spl
| ~ element(meet_commut(sK11_skl,sK12_skl,sK13_skl),the_carrier(sK11_skl)) ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f377,definition,
( sQ35_spl
<=> element(sK12_skl,the_carrier(sK11_skl)) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f379,plain,
( sQ35_spl
| ~ element(sK12_skl,the_carrier(sK11_skl)) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,definition,
( sQ36_spl
<=> join(sK11_skl,meet_commut(sK11_skl,sK12_skl,sK13_skl),sK12_skl) = sK12_skl ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f382,plain,
( sQ36_spl
| join(sK11_skl,meet_commut(sK11_skl,sK12_skl,sK13_skl),sK12_skl) != sK12_skl ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,plain,
( ~ sQ28_spl
| ~ sQ36_spl
| ~ sQ35_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f373,f374,f377,f380,f315]) ).
fof(f462,plain,
( ~ sQ18_spl
| meet_commut(sK11_skl,sK13_skl,sK12_skl) = meet(sK11_skl,sK13_skl,sK12_skl) ),
inference(resolution,[status(thm)],[f327,f148]) ).
fof(f464,plain,
( ~ sQ18_spl
| ~ sQ16_spl
| meet_commut(sK11_skl,sK12_skl,sK13_skl) = meet(sK11_skl,sK13_skl,sK12_skl) ),
inference(forward_demodulation,[status(thm)],[f307,f462]) ).
fof(f564,plain,
( ~ sQ10_spl
| ~ sQ18_spl
| ~ sQ16_spl
| join(sK11_skl,meet_commut(sK11_skl,sK12_skl,sK13_skl),sK12_skl) = sK12_skl ),
inference(backward_demodulation,[status(thm)],[f464,f282]) ).
fof(f565,plain,
( ~ sQ10_spl
| ~ sQ18_spl
| ~ sQ16_spl
| sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f564,f382]) ).
fof(f566,plain,
( ~ sQ10_spl
| ~ sQ18_spl
| ~ sQ16_spl
| sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f565]) ).
fof(f567,plain,
( sQ34_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f376,f364]) ).
fof(f568,plain,
( sQ34_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f567]) ).
fof(f569,plain,
( sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f379,f147]) ).
fof(f570,plain,
sQ35_spl,
inference(contradiction_clause,[status(thm)],[f569]) ).
fof(f571,plain,
$false,
inference(sat_refutation,[status(thm)],[f213,f222,f224,f244,f246,f248,f250,f255,f261,f318,f383,f566,f568,f570]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU304+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/10.45 % Computer : n009.cluster.edu
% 0.18/10.45 % Model : x86_64 x86_64
% 0.18/10.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/10.45 % Memory : 8046.5625MB
% 0.18/10.45 % OS : Linux 6.8.0-71-generic
% 0.18/10.46 % CPULimit : 300
% 0.18/10.46 % WCLimit : 300
% 0.18/10.46 % DateTime : Mon Sep 21 06:09:39 UTC 2026
% 0.18/10.46 % CPUTime :
% 0.18/10.47 % Drodi V4.1.1
% 0.21/10.51 % Refutation found
% 0.21/10.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/10.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/10.54 % Elapsed time: 0.062125 seconds
% 0.21/10.54 % CPU time: 0.247716 seconds
% 0.21/10.54 % Total memory used: 87.050 MB
% 0.21/10.54 % Net memory used: 86.880 MB
%------------------------------------------------------------------------------