%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU321+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 : n001.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 02:20:09 PM UTC 2026
% Result : Theorem 0.19s 0.52s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 27
% Syntax : Number of formulae : 108 ( 17 unt; 16 def)
% Number of atoms : 281 ( 16 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 280 ( 107 ~; 109 |; 29 &)
% ( 18 <=>; 16 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 17 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 74 ( 64 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [A] :
( ( one_sorted_str(A)
& ~ empty_carrier(A) )
=> ? [B] :
( ~ empty(B)
& element(B,powerset(the_carrier(A))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [A,B] :
( element(A,B)
=> ( in(A,B)
| empty(B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [A,B] :
( element(B,powerset(A))
=> subset_complement(A,subset_complement(A,B)) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [A] :
? [B] : element(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [A,B] :
( element(B,powerset(A))
=> element(subset_complement(A,B),powerset(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
? [A] :
( ~ empty_carrier(A)
& one_sorted_str(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [A] :
( ( one_sorted_str(A)
& ~ empty_carrier(A) )
=> ~ empty(the_carrier(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
( v5_membered(empty_set)
& v4_membered(empty_set)
& v3_membered(empty_set)
& v2_membered(empty_set)
& v1_membered(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,conjecture,
! [A] :
( ( one_sorted_str(A)
& ~ empty_carrier(A) )
=> ! [B] :
( element(B,powerset(the_carrier(A)))
=> ! [C] :
( element(C,the_carrier(A))
=> ( in(C,subset_complement(the_carrier(A),B))
<=> ~ in(C,B) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
~ ! [A] :
( ( one_sorted_str(A)
& ~ empty_carrier(A) )
=> ! [B] :
( element(B,powerset(the_carrier(A)))
=> ! [C] :
( element(C,the_carrier(A))
=> ( in(C,subset_complement(the_carrier(A),B))
<=> ~ in(C,B) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f42,axiom,
! [A] :
( A != empty_set
=> ! [B] :
( element(B,powerset(A))
=> ! [C] :
( element(C,A)
=> ( ~ in(C,B)
=> in(C,subset_complement(A,B)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [A,B,C] :
( element(C,powerset(A))
=> ~ ( in(B,C)
& in(B,subset_complement(A,C)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,plain,
! [A] :
( ? [B] :
( ~ empty(B)
& element(B,powerset(the_carrier(A))) )
| ~ one_sorted_str(A)
| empty_carrier(A) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
! [A] :
( ( ~ empty(sK0_skl(A))
& element(sK0_skl(A),powerset(the_carrier(A))) )
| ~ one_sorted_str(A)
| empty_carrier(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(B,sK0_skl(A))],[f46]) ).
fof(f48,plain,
! [X0] :
( element(sK0_skl(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f111,plain,
! [A,B] :
( in(A,B)
| empty(B)
| ~ element(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f112,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f111]) ).
fof(f119,plain,
! [A,B] :
( subset_complement(A,subset_complement(A,B)) = B
| ~ element(B,powerset(A)) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f120,plain,
! [X0,X1] :
( subset_complement(X1,subset_complement(X1,X0)) = X0
| ~ element(X0,powerset(X1)) ),
inference(cnf_transformation,[status(thm)],[f119]) ).
fof(f125,plain,
! [A] : element(sK3_skl(A),A),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(B,sK3_skl(A))],[f25]) ).
fof(f126,plain,
! [X0] : element(sK3_skl(X0),X0),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f127,plain,
! [A,B] :
( element(subset_complement(A,B),powerset(A))
| ~ element(B,powerset(A)) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f128,plain,
! [X0,X1] :
( element(subset_complement(X1,X0),powerset(X1))
| ~ element(X0,powerset(X1)) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f129,plain,
( ~ empty_carrier(sK4_skl)
& one_sorted_str(sK4_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(A,sK4_skl)],[f32]) ).
fof(f130,plain,
one_sorted_str(sK4_skl),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f131,plain,
~ empty_carrier(sK4_skl),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f132,plain,
! [A] :
( ~ empty(the_carrier(A))
| ~ one_sorted_str(A)
| empty_carrier(A) ),
inference(pre_NNF_transformation,[status(thm)],[f33]) ).
fof(f133,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[status(thm)],[f132]) ).
fof(f134,plain,
empty(empty_set),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f154,plain,
? [A] :
( ? [B] :
( ? [C] :
( ( in(C,subset_complement(the_carrier(A),B))
<~> ~ in(C,B) )
& element(C,the_carrier(A)) )
& element(B,powerset(the_carrier(A))) )
& one_sorted_str(A)
& ~ empty_carrier(A) ),
inference(pre_NNF_transformation,[status(thm)],[f41]) ).
fof(f155,plain,
? [A] :
( ? [B] :
( ? [C] :
( ( in(C,B)
| ~ in(C,subset_complement(the_carrier(A),B)) )
& ( ~ in(C,B)
| in(C,subset_complement(the_carrier(A),B)) )
& element(C,the_carrier(A)) )
& element(B,powerset(the_carrier(A))) )
& one_sorted_str(A)
& ~ empty_carrier(A) ),
inference(NNF_transformation,[status(thm)],[f154]) ).
fof(f156,plain,
( ( in(sK7_skl,sK6_skl)
| ~ in(sK7_skl,subset_complement(the_carrier(sK5_skl),sK6_skl)) )
& ( ~ in(sK7_skl,sK6_skl)
| in(sK7_skl,subset_complement(the_carrier(sK5_skl),sK6_skl)) )
& element(sK7_skl,the_carrier(sK5_skl))
& element(sK6_skl,powerset(the_carrier(sK5_skl)))
& one_sorted_str(sK5_skl)
& ~ empty_carrier(sK5_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl,sK6_skl,sK7_skl]),skolemize(A,sK5_skl),skolemize(B,sK6_skl),skolemize(C,sK7_skl)],[f155]) ).
fof(f157,plain,
~ empty_carrier(sK5_skl),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f158,plain,
one_sorted_str(sK5_skl),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f159,plain,
element(sK6_skl,powerset(the_carrier(sK5_skl))),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f160,plain,
element(sK7_skl,the_carrier(sK5_skl)),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f161,plain,
( ~ in(sK7_skl,sK6_skl)
| in(sK7_skl,subset_complement(the_carrier(sK5_skl),sK6_skl)) ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f162,plain,
( in(sK7_skl,sK6_skl)
| ~ in(sK7_skl,subset_complement(the_carrier(sK5_skl),sK6_skl)) ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f163,plain,
! [A] :
( ! [B] :
( ! [C] :
( in(C,subset_complement(A,B))
| in(C,B)
| ~ element(C,A) )
| ~ element(B,powerset(A)) )
| A = empty_set ),
inference(pre_NNF_transformation,[status(thm)],[f42]) ).
fof(f164,plain,
! [X0,X1,X2] :
( in(X2,subset_complement(X0,X1))
| in(X2,X1)
| ~ element(X2,X0)
| ~ element(X1,powerset(X0))
| X0 = empty_set ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f165,plain,
! [A,B,C] :
( ~ in(B,C)
| ~ in(B,subset_complement(A,C))
| ~ element(C,powerset(A)) ),
inference(pre_NNF_transformation,[status(thm)],[f43]) ).
fof(f166,plain,
! [A,C] :
( ! [B] :
( ~ in(B,C)
| ~ in(B,subset_complement(A,C)) )
| ~ element(C,powerset(A)) ),
inference(miniscoping,[status(thm)],[f165]) ).
fof(f167,plain,
! [X0,X1,X2] :
( ~ in(X2,X0)
| ~ in(X2,subset_complement(X1,X0))
| ~ element(X0,powerset(X1)) ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f168,definition,
( sQ0_spl
<=> in(sK7_skl,subset_complement(the_carrier(sK5_skl),sK6_skl)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f169,plain,
( ~ sQ0_spl
| in(sK7_skl,subset_complement(the_carrier(sK5_skl),sK6_skl)) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,definition,
( sQ1_spl
<=> in(sK7_skl,sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f172,plain,
( ~ sQ1_spl
| in(sK7_skl,sK6_skl) ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f174,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f161,f168,f171]) ).
fof(f175,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f162,f168,f171]) ).
fof(f177,plain,
! [X0,X1] :
( in(X1,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[status(thm)],[f133,f112]) ).
fof(f178,plain,
subset_complement(the_carrier(sK5_skl),subset_complement(the_carrier(sK5_skl),sK6_skl)) = sK6_skl,
inference(resolution,[status(thm)],[f120,f159]) ).
fof(f180,plain,
! [X0] :
( subset_complement(the_carrier(X0),subset_complement(the_carrier(X0),sK0_skl(X0))) = sK0_skl(X0)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(resolution,[status(thm)],[f48,f120]) ).
fof(f183,plain,
( element(sK6_skl,powerset(the_carrier(sK5_skl)))
| ~ element(subset_complement(the_carrier(sK5_skl),sK6_skl),powerset(the_carrier(sK5_skl))) ),
inference(paramodulation,[status(thm)],[f178,f128]) ).
fof(f184,definition,
( sQ2_spl
<=> element(subset_complement(the_carrier(sK5_skl),sK6_skl),powerset(the_carrier(sK5_skl))) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f185,plain,
( ~ sQ2_spl
| element(subset_complement(the_carrier(sK5_skl),sK6_skl),powerset(the_carrier(sK5_skl))) ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f186,plain,
( sQ2_spl
| ~ element(subset_complement(the_carrier(sK5_skl),sK6_skl),powerset(the_carrier(sK5_skl))) ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f187,definition,
( sQ3_spl
<=> element(sK6_skl,powerset(the_carrier(sK5_skl))) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f190,plain,
( sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f183,f184,f187]) ).
fof(f200,plain,
! [X0] :
( in(X0,subset_complement(the_carrier(sK5_skl),sK6_skl))
| in(X0,sK6_skl)
| ~ element(X0,the_carrier(sK5_skl))
| the_carrier(sK5_skl) = empty_set ),
inference(resolution,[status(thm)],[f164,f159]) ).
fof(f201,definition,
( sQ4_spl
<=> the_carrier(sK5_skl) = empty_set ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( ~ sQ4_spl
| the_carrier(sK5_skl) = empty_set ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f204,definition,
! [X0] :
( sQ5_spl
<=> ( in(X0,subset_complement(the_carrier(sK5_skl),sK6_skl))
| in(X0,sK6_skl)
| ~ element(X0,the_carrier(sK5_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f205,plain,
! [X0] :
( ~ sQ5_spl
| in(X0,subset_complement(the_carrier(sK5_skl),sK6_skl))
| in(X0,sK6_skl)
| ~ element(X0,the_carrier(sK5_skl)) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,plain,
( sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f200,f201,f204]) ).
fof(f214,plain,
( ~ sQ4_spl
| ~ empty(empty_set)
| ~ one_sorted_str(sK5_skl)
| empty_carrier(sK5_skl) ),
inference(paramodulation,[status(thm)],[f202,f133]) ).
fof(f220,plain,
( sQ2_spl
| ~ element(sK6_skl,powerset(the_carrier(sK5_skl))) ),
inference(resolution,[status(thm)],[f186,f128]) ).
fof(f221,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f220,f159]) ).
fof(f222,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f221]) ).
fof(f225,plain,
! [X0] :
( ~ sQ2_spl
| in(X0,subset_complement(the_carrier(sK5_skl),subset_complement(the_carrier(sK5_skl),sK6_skl)))
| in(X0,subset_complement(the_carrier(sK5_skl),sK6_skl))
| ~ element(X0,the_carrier(sK5_skl))
| the_carrier(sK5_skl) = empty_set ),
inference(resolution,[status(thm)],[f185,f164]) ).
fof(f227,definition,
! [X0] :
( sQ6_spl
<=> ( in(X0,subset_complement(the_carrier(sK5_skl),subset_complement(the_carrier(sK5_skl),sK6_skl)))
| in(X0,subset_complement(the_carrier(sK5_skl),sK6_skl))
| ~ element(X0,the_carrier(sK5_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f230,plain,
( ~ sQ2_spl
| sQ6_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f225,f201,f227,f184]) ).
fof(f231,definition,
( sQ7_spl
<=> empty_carrier(sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f232,plain,
( ~ sQ7_spl
| empty_carrier(sK5_skl) ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f234,definition,
( sQ8_spl
<=> one_sorted_str(sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( sQ8_spl
| ~ one_sorted_str(sK5_skl) ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f241,definition,
( sQ10_spl
<=> empty(empty_set) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f243,plain,
( sQ10_spl
| ~ empty(empty_set) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,plain,
( ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ8_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f214,f231,f234,f241,f201]) ).
fof(f245,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f236,f158]) ).
fof(f246,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f245]) ).
fof(f247,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f232,f157]) ).
fof(f248,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f247]) ).
fof(f249,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f243,f134]) ).
fof(f250,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f249]) ).
fof(f252,plain,
( in(sK7_skl,the_carrier(sK5_skl))
| ~ one_sorted_str(sK5_skl)
| empty_carrier(sK5_skl) ),
inference(resolution,[status(thm)],[f177,f160]) ).
fof(f253,definition,
( sQ11_spl
<=> in(sK7_skl,the_carrier(sK5_skl)) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f256,plain,
( sQ11_spl
| ~ sQ8_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f252,f231,f234,f253]) ).
fof(f271,plain,
( ~ sQ5_spl
| in(sK3_skl(the_carrier(sK5_skl)),subset_complement(the_carrier(sK5_skl),sK6_skl))
| in(sK3_skl(the_carrier(sK5_skl)),sK6_skl) ),
inference(resolution,[status(thm)],[f205,f126]) ).
fof(f272,plain,
( ~ sQ5_spl
| in(sK7_skl,subset_complement(the_carrier(sK5_skl),sK6_skl))
| in(sK7_skl,sK6_skl) ),
inference(resolution,[status(thm)],[f205,f160]) ).
fof(f273,definition,
( sQ12_spl
<=> in(sK3_skl(the_carrier(sK5_skl)),sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f276,definition,
( sQ13_spl
<=> in(sK3_skl(the_carrier(sK5_skl)),subset_complement(the_carrier(sK5_skl),sK6_skl)) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( ~ sQ5_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f271,f273,f276,f204]) ).
fof(f280,plain,
( ~ sQ5_spl
| sQ0_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f272,f171,f168,f204]) ).
fof(f281,plain,
! [X0] :
( ~ sQ1_spl
| ~ in(sK7_skl,subset_complement(X0,sK6_skl))
| ~ element(sK6_skl,powerset(X0)) ),
inference(resolution,[status(thm)],[f172,f167]) ).
fof(f294,plain,
( subset_complement(the_carrier(sK4_skl),subset_complement(the_carrier(sK4_skl),sK0_skl(sK4_skl))) = sK0_skl(sK4_skl)
| ~ one_sorted_str(sK4_skl) ),
inference(resolution,[status(thm)],[f180,f131]) ).
fof(f295,plain,
( subset_complement(the_carrier(sK5_skl),subset_complement(the_carrier(sK5_skl),sK0_skl(sK5_skl))) = sK0_skl(sK5_skl)
| ~ one_sorted_str(sK5_skl) ),
inference(resolution,[status(thm)],[f180,f157]) ).
fof(f296,definition,
( sQ14_spl
<=> one_sorted_str(sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( sQ14_spl
| ~ one_sorted_str(sK4_skl) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,definition,
( sQ15_spl
<=> subset_complement(the_carrier(sK4_skl),subset_complement(the_carrier(sK4_skl),sK0_skl(sK4_skl))) = sK0_skl(sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f294,f296,f299]) ).
fof(f303,definition,
( sQ16_spl
<=> subset_complement(the_carrier(sK5_skl),subset_complement(the_carrier(sK5_skl),sK0_skl(sK5_skl))) = sK0_skl(sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( sQ16_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f295,f234,f303]) ).
fof(f307,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f298,f130]) ).
fof(f308,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f307]) ).
fof(f350,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| ~ element(sK6_skl,powerset(the_carrier(sK5_skl))) ),
inference(resolution,[status(thm)],[f281,f169]) ).
fof(f351,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f350,f159]) ).
fof(f352,plain,
( ~ sQ0_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f351]) ).
fof(f353,plain,
$false,
inference(sat_refutation,[status(thm)],[f174,f175,f190,f207,f222,f230,f244,f246,f248,f250,f256,f279,f280,f302,f306,f308,f352]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU321+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n001.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 06:16:59 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.48 % Drodi V4.1.1
% 0.19/0.52 % Refutation found
% 0.19/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.55 % Elapsed time: 0.089873 seconds
% 0.24/0.55 % CPU time: 0.097224 seconds
% 0.24/0.55 % Total memory used: 8.088 MB
% 0.24/0.55 % Net memory used: 8.061 MB
%------------------------------------------------------------------------------