%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV370+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 : n012.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 02:47:31 PM UTC 2026
% Result : Theorem 0.04s 0.33s
% Output : CNFRefutation 0.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 87 ( 6 unt; 7 def)
% Number of atoms : 241 ( 20 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 255 ( 101 ~; 111 |; 22 &)
% ( 17 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 8 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 201 ( 183 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [U,V] :
( less_than(V,U)
| less_than(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [U,V,W] :
( contains_pq(insert_pq(U,V),W)
<=> ( V = W
| contains_pq(U,W) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [U,V,W,X] :
( contains_slb(insert_slb(U,pair(V,X)),W)
<=> ( V = W
| contains_slb(U,W) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [U,V,W,X,Y] :
( less_than(Y,X)
=> ( check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))
<=> check_cpq(triple(U,V,W)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [U,V,W,X] :
( contains_cpq(triple(U,V,W),X)
<=> contains_slb(V,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,axiom,
! [U,V,W,X,Y] : i(triple(U,insert_slb(V,pair(X,Y)),W)) = insert_pq(i(triple(U,V,W)),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,conjecture,
! [U] :
( ! [V,W,X] :
( contains_cpq(triple(V,U,W),X)
<=> contains_pq(i(triple(V,U,W)),X) )
=> ! [Y,Z,X1,X2,X3] :
( contains_cpq(triple(Y,insert_slb(U,pair(X1,X2)),Z),X3)
<=> contains_pq(i(triple(Y,insert_slb(U,pair(X1,X2)),Z)),X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
~ ! [U] :
( ! [V,W,X] :
( contains_cpq(triple(V,U,W),X)
<=> contains_pq(i(triple(V,U,W)),X) )
=> ! [Y,Z,X1,X2,X3] :
( contains_cpq(triple(Y,insert_slb(U,pair(X1,X2)),Z),X3)
<=> contains_pq(i(triple(Y,insert_slb(U,pair(X1,X2)),Z)),X3) ) ),
inference(negated_conjecture,[status(cth)],[f63]) ).
fof(f68,plain,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f79,plain,
! [U,V,W] :
( ( ( V != W
& ~ contains_pq(U,W) )
| contains_pq(insert_pq(U,V),W) )
& ( V = W
| contains_pq(U,W)
| ~ contains_pq(insert_pq(U,V),W) ) ),
inference(NNF_transformation,[status(thm)],[f9]) ).
fof(f80,plain,
( ! [U,V,W] :
( ( V != W
& ~ contains_pq(U,W) )
| contains_pq(insert_pq(U,V),W) )
& ! [U,V,W] :
( V = W
| contains_pq(U,W)
| ~ contains_pq(insert_pq(U,V),W) ) ),
inference(miniscoping,[status(thm)],[f79]) ).
fof(f81,plain,
! [X0,X1,X2] :
( X1 = X2
| contains_pq(X0,X2)
| ~ contains_pq(insert_pq(X0,X1),X2) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ~ contains_pq(X0,X2)
| contains_pq(insert_pq(X0,X1),X2) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f83,plain,
! [X0,X1,X2] :
( X1 != X2
| contains_pq(insert_pq(X0,X1),X2) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f106,plain,
! [U,V,W,X] :
( ( ( V != W
& ~ contains_slb(U,W) )
| contains_slb(insert_slb(U,pair(V,X)),W) )
& ( V = W
| contains_slb(U,W)
| ~ contains_slb(insert_slb(U,pair(V,X)),W) ) ),
inference(NNF_transformation,[status(thm)],[f21]) ).
fof(f107,plain,
( ! [U,V,W] :
( ( V != W
& ~ contains_slb(U,W) )
| ! [X] : contains_slb(insert_slb(U,pair(V,X)),W) )
& ! [U,V,W] :
( V = W
| contains_slb(U,W)
| ! [X] : ~ contains_slb(insert_slb(U,pair(V,X)),W) ) ),
inference(miniscoping,[status(thm)],[f106]) ).
fof(f108,plain,
! [X0,X1,X2,X3] :
( X1 = X3
| contains_slb(X0,X3)
| ~ contains_slb(insert_slb(X0,pair(X1,X2)),X3) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f109,plain,
! [X0,X1,X2,X3] :
( ~ contains_slb(X0,X3)
| contains_slb(insert_slb(X0,pair(X1,X2)),X3) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f110,plain,
! [X0,X1,X2,X3] :
( X1 != X3
| contains_slb(insert_slb(X0,pair(X1,X2)),X3) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f145,plain,
! [U,V,W,X,Y] :
( ( check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))
<=> check_cpq(triple(U,V,W)) )
| ~ less_than(Y,X) ),
inference(pre_NNF_transformation,[status(thm)],[f37]) ).
fof(f146,plain,
! [U,V,W,X,Y] :
( ( ( ~ check_cpq(triple(U,V,W))
| check_cpq(triple(U,insert_slb(V,pair(X,Y)),W)) )
& ( check_cpq(triple(U,V,W))
| ~ check_cpq(triple(U,insert_slb(V,pair(X,Y)),W)) ) )
| ~ less_than(Y,X) ),
inference(NNF_transformation,[status(thm)],[f145]) ).
fof(f147,plain,
! [X,Y] :
( ( ! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
| check_cpq(triple(U,insert_slb(V,pair(X,Y)),W)) )
& ! [U,V,W] :
( check_cpq(triple(U,V,W))
| ~ check_cpq(triple(U,insert_slb(V,pair(X,Y)),W)) ) )
| ~ less_than(Y,X) ),
inference(miniscoping,[status(thm)],[f146]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4] :
( check_cpq(triple(X2,X3,X4))
| ~ check_cpq(triple(X2,insert_slb(X3,pair(X1,X0)),X4))
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4] :
( ~ check_cpq(triple(X2,X3,X4))
| check_cpq(triple(X2,insert_slb(X3,pair(X1,X0)),X4))
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f155,plain,
! [U,V,W,X] :
( ( ~ contains_slb(V,X)
| contains_cpq(triple(U,V,W),X) )
& ( contains_slb(V,X)
| ~ contains_cpq(triple(U,V,W),X) ) ),
inference(NNF_transformation,[status(thm)],[f39]) ).
fof(f156,plain,
( ! [V,X] :
( ~ contains_slb(V,X)
| ! [U,W] : contains_cpq(triple(U,V,W),X) )
& ! [V,X] :
( contains_slb(V,X)
| ! [U,W] : ~ contains_cpq(triple(U,V,W),X) ) ),
inference(miniscoping,[status(thm)],[f155]) ).
fof(f157,plain,
! [X0,X1,X2,X3] :
( contains_slb(X1,X3)
| ~ contains_cpq(triple(X0,X1,X2),X3) ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f158,plain,
! [X0,X1,X2,X3] :
( ~ contains_slb(X1,X3)
| contains_cpq(triple(X0,X1,X2),X3) ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4] : i(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) = insert_pq(i(triple(X0,X1,X4)),X2),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f229,plain,
? [U] :
( ? [Y,Z,X1,X2,X3] :
( contains_cpq(triple(Y,insert_slb(U,pair(X1,X2)),Z),X3)
<~> contains_pq(i(triple(Y,insert_slb(U,pair(X1,X2)),Z)),X3) )
& ! [V,W,X] :
( contains_cpq(triple(V,U,W),X)
<=> contains_pq(i(triple(V,U,W)),X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f64]) ).
fof(f230,plain,
? [U] :
( ? [Y,Z,X1,X2,X3] :
( ( ~ contains_pq(i(triple(Y,insert_slb(U,pair(X1,X2)),Z)),X3)
| ~ contains_cpq(triple(Y,insert_slb(U,pair(X1,X2)),Z),X3) )
& ( contains_pq(i(triple(Y,insert_slb(U,pair(X1,X2)),Z)),X3)
| contains_cpq(triple(Y,insert_slb(U,pair(X1,X2)),Z),X3) ) )
& ! [V,W,X] :
( ( ~ contains_pq(i(triple(V,U,W)),X)
| contains_cpq(triple(V,U,W),X) )
& ( contains_pq(i(triple(V,U,W)),X)
| ~ contains_cpq(triple(V,U,W),X) ) ) ),
inference(NNF_transformation,[status(thm)],[f229]) ).
fof(f231,plain,
? [U] :
( ? [Y,Z,X1,X2,X3] :
( ( ~ contains_pq(i(triple(Y,insert_slb(U,pair(X1,X2)),Z)),X3)
| ~ contains_cpq(triple(Y,insert_slb(U,pair(X1,X2)),Z),X3) )
& ( contains_pq(i(triple(Y,insert_slb(U,pair(X1,X2)),Z)),X3)
| contains_cpq(triple(Y,insert_slb(U,pair(X1,X2)),Z),X3) ) )
& ! [V,W,X] :
( ~ contains_pq(i(triple(V,U,W)),X)
| contains_cpq(triple(V,U,W),X) )
& ! [V,W,X] :
( contains_pq(i(triple(V,U,W)),X)
| ~ contains_cpq(triple(V,U,W),X) ) ),
inference(miniscoping,[status(thm)],[f230]) ).
fof(f232,plain,
( ( ~ contains_pq(i(triple(sK5_skl,insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK6_skl)),sK9_skl)
| ~ contains_cpq(triple(sK5_skl,insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK6_skl),sK9_skl) )
& ( contains_pq(i(triple(sK5_skl,insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK6_skl)),sK9_skl)
| contains_cpq(triple(sK5_skl,insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK6_skl),sK9_skl) )
& ! [V,W,X] :
( ~ contains_pq(i(triple(V,sK4_skl,W)),X)
| contains_cpq(triple(V,sK4_skl,W),X) )
& ! [V,W,X] :
( contains_pq(i(triple(V,sK4_skl,W)),X)
| ~ contains_cpq(triple(V,sK4_skl,W),X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl]),skolemize(U,sK4_skl),skolemize(Y,sK5_skl),skolemize(Z,sK6_skl),skolemize(X1,sK7_skl),skolemize(X2,sK8_skl),skolemize(X3,sK9_skl)],[f231]) ).
fof(f233,plain,
! [X0,X1,X2] :
( contains_pq(i(triple(X0,sK4_skl,X1)),X2)
| ~ contains_cpq(triple(X0,sK4_skl,X1),X2) ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f234,plain,
! [X0,X1,X2] :
( ~ contains_pq(i(triple(X0,sK4_skl,X1)),X2)
| contains_cpq(triple(X0,sK4_skl,X1),X2) ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f235,plain,
( contains_pq(i(triple(sK5_skl,insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK6_skl)),sK9_skl)
| contains_cpq(triple(sK5_skl,insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK6_skl),sK9_skl) ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f236,plain,
( ~ contains_pq(i(triple(sK5_skl,insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK6_skl)),sK9_skl)
| ~ contains_cpq(triple(sK5_skl,insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK6_skl),sK9_skl) ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f237,definition,
( sQ0_spl
<=> contains_cpq(triple(sK5_skl,insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK6_skl),sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( ~ sQ0_spl
| contains_cpq(triple(sK5_skl,insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK6_skl),sK9_skl) ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f239,plain,
( sQ0_spl
| ~ contains_cpq(triple(sK5_skl,insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK6_skl),sK9_skl) ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f240,definition,
( sQ1_spl
<=> contains_pq(i(triple(sK5_skl,insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK6_skl)),sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( ~ sQ1_spl
| contains_pq(i(triple(sK5_skl,insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK6_skl)),sK9_skl) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f242,plain,
( sQ1_spl
| ~ contains_pq(i(triple(sK5_skl,insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK6_skl)),sK9_skl) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f235,f237,f240]) ).
fof(f244,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f236,f237,f240]) ).
fof(f245,plain,
! [X0,X1] : contains_pq(insert_pq(X0,X1),X1),
inference(destructive_equality_resolution,[status(thm)],[f83]) ).
fof(f246,plain,
! [X0,X1,X2] : contains_slb(insert_slb(X0,pair(X1,X2)),X1),
inference(destructive_equality_resolution,[status(thm)],[f110]) ).
fof(f250,plain,
( sQ0_spl
| ~ contains_slb(insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK9_skl) ),
inference(resolution,[status(thm)],[f239,f158]) ).
fof(f292,plain,
( sQ0_spl
| ~ contains_slb(sK4_skl,sK9_skl) ),
inference(resolution,[status(thm)],[f109,f250]) ).
fof(f320,plain,
( ~ sQ0_spl
| contains_slb(insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK9_skl) ),
inference(resolution,[status(thm)],[f238,f157]) ).
fof(f321,plain,
( ~ sQ0_spl
| sK7_skl = sK9_skl
| contains_slb(sK4_skl,sK9_skl) ),
inference(resolution,[status(thm)],[f320,f108]) ).
fof(f322,definition,
( sQ5_spl
<=> contains_slb(sK4_skl,sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f323,plain,
( ~ sQ5_spl
| contains_slb(sK4_skl,sK9_skl) ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,definition,
( sQ6_spl
<=> sK7_skl = sK9_skl ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f326,plain,
( ~ sQ6_spl
| sK7_skl = sK9_skl ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,plain,
( ~ sQ0_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f321,f322,f325,f237]) ).
fof(f331,plain,
! [X0,X1,X2,X3,X4] :
( check_cpq(triple(X2,X3,X4))
| ~ less_than(X0,X1)
| ~ check_cpq(triple(X2,X3,X4))
| ~ less_than(X0,X1) ),
inference(resolution,[status(thm)],[f149,f148]) ).
fof(f332,definition,
! [X0,X1] :
( sQ7_spl
<=> ( ~ less_than(X0,X1)
| ~ less_than(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f333,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ less_than(X0,X1)
| ~ less_than(X0,X1) ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,definition,
! [X2,X3,X4] :
( sQ8_spl
<=> ( check_cpq(triple(X2,X3,X4))
| ~ check_cpq(triple(X2,X3,X4)) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f338,plain,
( sQ8_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f331,f332,f335]) ).
fof(f339,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ less_than(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f333]) ).
fof(f343,plain,
! [X0,X1] :
( ~ sQ7_spl
| less_than(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f68,f339]) ).
fof(f346,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f343,f339]) ).
fof(f347,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f346]) ).
fof(f538,plain,
( sQ1_spl
| ~ contains_pq(insert_pq(i(triple(sK5_skl,sK4_skl,sK6_skl)),sK7_skl),sK9_skl) ),
inference(backward_demodulation,[status(thm)],[f193,f242]) ).
fof(f558,plain,
( sQ1_spl
| ~ contains_pq(i(triple(sK5_skl,sK4_skl,sK6_skl)),sK9_skl) ),
inference(resolution,[status(thm)],[f538,f82]) ).
fof(f559,plain,
( sQ1_spl
| ~ contains_cpq(triple(sK5_skl,sK4_skl,sK6_skl),sK9_skl) ),
inference(resolution,[status(thm)],[f558,f233]) ).
fof(f561,plain,
( sQ1_spl
| ~ contains_slb(sK4_skl,sK9_skl) ),
inference(resolution,[status(thm)],[f559,f158]) ).
fof(f562,plain,
( sQ1_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f561,f323]) ).
fof(f563,plain,
( sQ1_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f562]) ).
fof(f564,plain,
( ~ sQ1_spl
| contains_pq(insert_pq(i(triple(sK5_skl,sK4_skl,sK6_skl)),sK7_skl),sK9_skl) ),
inference(forward_demodulation,[status(thm)],[f193,f241]) ).
fof(f565,plain,
( ~ sQ1_spl
| sK7_skl = sK9_skl
| contains_pq(i(triple(sK5_skl,sK4_skl,sK6_skl)),sK9_skl) ),
inference(resolution,[status(thm)],[f564,f81]) ).
fof(f566,definition,
( sQ25_spl
<=> contains_pq(i(triple(sK5_skl,sK4_skl,sK6_skl)),sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f567,plain,
( ~ sQ25_spl
| contains_pq(i(triple(sK5_skl,sK4_skl,sK6_skl)),sK9_skl) ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f569,plain,
( ~ sQ1_spl
| sQ6_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f565,f566,f325,f240]) ).
fof(f589,plain,
( sQ1_spl
| ~ sQ6_spl
| ~ contains_pq(insert_pq(i(triple(sK5_skl,sK4_skl,sK6_skl)),sK7_skl),sK7_skl) ),
inference(forward_demodulation,[status(thm)],[f326,f538]) ).
fof(f590,plain,
( sQ1_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f589,f245]) ).
fof(f591,plain,
( sQ1_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f590]) ).
fof(f611,plain,
( ~ sQ25_spl
| contains_cpq(triple(sK5_skl,sK4_skl,sK6_skl),sK9_skl) ),
inference(resolution,[status(thm)],[f567,f234]) ).
fof(f614,plain,
( ~ sQ25_spl
| contains_slb(sK4_skl,sK9_skl) ),
inference(resolution,[status(thm)],[f611,f157]) ).
fof(f615,plain,
( ~ sQ25_spl
| sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f614,f292]) ).
fof(f616,plain,
( ~ sQ25_spl
| sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f615]) ).
fof(f617,plain,
( sQ0_spl
| ~ sQ6_spl
| ~ contains_slb(insert_slb(sK4_skl,pair(sK7_skl,sK8_skl)),sK7_skl) ),
inference(backward_demodulation,[status(thm)],[f326,f250]) ).
fof(f621,plain,
( sQ0_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f617,f246]) ).
fof(f622,plain,
( sQ0_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f621]) ).
fof(f623,plain,
$false,
inference(sat_refutation,[status(thm)],[f243,f244,f328,f338,f347,f563,f569,f591,f616,f622]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV370+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Mon Sep 21 08:43:38 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.31 % Drodi V4.1.1
% 0.04/0.33 % Refutation found
% 0.04/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.04/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.04/0.35 % Elapsed time: 0.050071 seconds
% 0.04/0.35 % CPU time: 0.150786 seconds
% 0.04/0.35 % Total memory used: 108.674 MB
% 0.04/0.35 % Net memory used: 108.229 MB
%------------------------------------------------------------------------------