%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT114+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 01:25:37 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.39s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 31
% Syntax : Number of formulae : 119 ( 33 unt; 18 def)
% Number of atoms : 439 ( 47 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 528 ( 208 ~; 234 |; 61 &)
% ( 21 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 17 prp; 0-5 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-4 aty)
% Number of variables : 188 ( 174 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Rho,A,T] :
( odrl_rel(Rho)
=> ( ? [L] :
( ! [L2] :
( ( cnt(L2,A,T)
& part_of(L2,Rho)
& permission(L2) )
=> L2 = L )
& cnt(L,A,T)
& part_of(L,Rho)
& permission(L) )
<=> ? [N] :
( ! [M] :
( ( cnt(M,A,T)
& part_of(M,Rho)
& no_right(M) )
=> M = N )
& cnt(N,A,T)
& part_of(N,Rho)
& no_right(N) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
odrl_rel(rho1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
permission(l),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
no_right(n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
no_right(n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
part_of(l,rho1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
part_of(n1,rho1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
part_of(n2,rho1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
cnt(l,some_action,some_target),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
cnt(n1,some_action,some_target),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
cnt(n2,some_action,some_target),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
n1 != n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [L2] :
( ( cnt(L2,some_action,some_target)
& part_of(L2,rho1)
& permission(L2) )
=> L2 = l ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,plain,
! [Rho,A,T] :
( ( ? [L] :
( ! [L2] :
( L2 = L
| ~ cnt(L2,A,T)
| ~ part_of(L2,Rho)
| ~ permission(L2) )
& cnt(L,A,T)
& part_of(L,Rho)
& permission(L) )
<=> ? [N] :
( ! [M] :
( M = N
| ~ cnt(M,A,T)
| ~ part_of(M,Rho)
| ~ no_right(M) )
& cnt(N,A,T)
& part_of(N,Rho)
& no_right(N) ) )
| ~ odrl_rel(Rho) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f21,definition,
! [Rho,A,T,L,L2] :
( sP0_prd(L2,L,T,A,Rho)
<=> ( L2 = L
| ~ cnt(L2,A,T)
| ~ part_of(L2,Rho)
| ~ permission(L2) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f22,definition,
! [Rho,A,T,N,M] :
( sP1_prd(M,N,T,A,Rho)
<=> ( M = N
| ~ cnt(M,A,T)
| ~ part_of(M,Rho)
| ~ no_right(M) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f23,plain,
! [Rho,A,T] :
( ( ? [L] :
( ! [L2] : sP0_prd(L2,L,T,A,Rho)
& cnt(L,A,T)
& part_of(L,Rho)
& permission(L) )
<=> ? [N] :
( ! [M] : sP1_prd(M,N,T,A,Rho)
& cnt(N,A,T)
& part_of(N,Rho)
& no_right(N) ) )
| ~ odrl_rel(Rho) ),
inference(formula_renaming,[status(thm)],[f20,f22,f21]) ).
fof(f24,plain,
! [Rho,A,T] :
( ( ( ! [N] :
( ? [M] : ~ sP1_prd(M,N,T,A,Rho)
| ~ cnt(N,A,T)
| ~ part_of(N,Rho)
| ~ no_right(N) )
| ? [L] :
( ! [L2] : sP0_prd(L2,L,T,A,Rho)
& cnt(L,A,T)
& part_of(L,Rho)
& permission(L) ) )
& ( ? [N] :
( ! [M] : sP1_prd(M,N,T,A,Rho)
& cnt(N,A,T)
& part_of(N,Rho)
& no_right(N) )
| ! [L] :
( ? [L2] : ~ sP0_prd(L2,L,T,A,Rho)
| ~ cnt(L,A,T)
| ~ part_of(L,Rho)
| ~ permission(L) ) ) )
| ~ odrl_rel(Rho) ),
inference(NNF_transformation,[status(thm)],[f23]) ).
fof(f25,plain,
! [Rho] :
( ( ! [A,T] :
( ! [N] :
( ? [M] : ~ sP1_prd(M,N,T,A,Rho)
| ~ cnt(N,A,T)
| ~ part_of(N,Rho)
| ~ no_right(N) )
| ? [L] :
( ! [L2] : sP0_prd(L2,L,T,A,Rho)
& cnt(L,A,T)
& part_of(L,Rho)
& permission(L) ) )
& ! [A,T] :
( ? [N] :
( ! [M] : sP1_prd(M,N,T,A,Rho)
& cnt(N,A,T)
& part_of(N,Rho)
& no_right(N) )
| ! [L] :
( ? [L2] : ~ sP0_prd(L2,L,T,A,Rho)
| ~ cnt(L,A,T)
| ~ part_of(L,Rho)
| ~ permission(L) ) ) )
| ~ odrl_rel(Rho) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f26,plain,
! [Rho] :
( ( ! [A,T] :
( ! [N] :
( ~ sP1_prd(sK3_skl(N,T,A,Rho),N,T,A,Rho)
| ~ cnt(N,A,T)
| ~ part_of(N,Rho)
| ~ no_right(N) )
| ( ! [L2] : sP0_prd(L2,sK2_skl(T,A,Rho),T,A,Rho)
& cnt(sK2_skl(T,A,Rho),A,T)
& part_of(sK2_skl(T,A,Rho),Rho)
& permission(sK2_skl(T,A,Rho)) ) )
& ! [A,T] :
( ( ! [M] : sP1_prd(M,sK1_skl(T,A,Rho),T,A,Rho)
& cnt(sK1_skl(T,A,Rho),A,T)
& part_of(sK1_skl(T,A,Rho),Rho)
& no_right(sK1_skl(T,A,Rho)) )
| ! [L] :
( ~ sP0_prd(sK0_skl(L,T,A,Rho),L,T,A,Rho)
| ~ cnt(L,A,T)
| ~ part_of(L,Rho)
| ~ permission(L) ) ) )
| ~ odrl_rel(Rho) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(L2,sK0_skl(L,T,A,Rho)),skolemize(N,sK1_skl(T,A,Rho)),skolemize(L,sK2_skl(T,A,Rho)),skolemize(M,sK3_skl(N,T,A,Rho))],[f25]) ).
fof(f30,plain,
! [X0,X1,X2,X3,X4] :
( sP1_prd(X4,sK1_skl(X3,X2,X0),X3,X2,X0)
| ~ sP0_prd(sK0_skl(X1,X3,X2,X0),X1,X3,X2,X0)
| ~ cnt(X1,X2,X3)
| ~ part_of(X1,X0)
| ~ permission(X1)
| ~ odrl_rel(X0) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f39,plain,
odrl_rel(rho1),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f40,plain,
permission(l),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f41,plain,
no_right(n1),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f42,plain,
no_right(n2),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f43,plain,
part_of(l,rho1),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f44,plain,
part_of(n1,rho1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f45,plain,
part_of(n2,rho1),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f46,plain,
cnt(l,some_action,some_target),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f47,plain,
cnt(n1,some_action,some_target),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f48,plain,
cnt(n2,some_action,some_target),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f51,plain,
n1 != n2,
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f52,plain,
! [L2] :
( L2 = l
| ~ cnt(L2,some_action,some_target)
| ~ part_of(L2,rho1)
| ~ permission(L2) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f53,plain,
! [X0] :
( X0 = l
| ~ cnt(X0,some_action,some_target)
| ~ part_of(X0,rho1)
| ~ permission(X0) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
! [Rho,A,T,L,L2] :
( ( ( L2 != L
& cnt(L2,A,T)
& part_of(L2,Rho)
& permission(L2) )
| sP0_prd(L2,L,T,A,Rho) )
& ( L2 = L
| ~ cnt(L2,A,T)
| ~ part_of(L2,Rho)
| ~ permission(L2)
| ~ sP0_prd(L2,L,T,A,Rho) ) ),
inference(NNF_transformation,[status(thm)],[f21]) ).
fof(f55,plain,
( ! [Rho,A,T,L,L2] :
( ( L2 != L
& cnt(L2,A,T)
& part_of(L2,Rho)
& permission(L2) )
| sP0_prd(L2,L,T,A,Rho) )
& ! [Rho,A,T,L,L2] :
( L2 = L
| ~ cnt(L2,A,T)
| ~ part_of(L2,Rho)
| ~ permission(L2)
| ~ sP0_prd(L2,L,T,A,Rho) ) ),
inference(miniscoping,[status(thm)],[f54]) ).
fof(f57,plain,
! [X0,X1,X2,X3,X4] :
( permission(X0)
| sP0_prd(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f58,plain,
! [X0,X1,X2,X3,X4] :
( part_of(X0,X4)
| sP0_prd(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f59,plain,
! [X0,X1,X2,X3,X4] :
( cnt(X0,X3,X2)
| sP0_prd(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f60,plain,
! [X0,X1,X2,X3,X4] :
( X0 != X1
| sP0_prd(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f61,plain,
! [Rho,A,T,N,M] :
( ( ( M != N
& cnt(M,A,T)
& part_of(M,Rho)
& no_right(M) )
| sP1_prd(M,N,T,A,Rho) )
& ( M = N
| ~ cnt(M,A,T)
| ~ part_of(M,Rho)
| ~ no_right(M)
| ~ sP1_prd(M,N,T,A,Rho) ) ),
inference(NNF_transformation,[status(thm)],[f22]) ).
fof(f62,plain,
( ! [Rho,A,T,N,M] :
( ( M != N
& cnt(M,A,T)
& part_of(M,Rho)
& no_right(M) )
| sP1_prd(M,N,T,A,Rho) )
& ! [Rho,A,T,N,M] :
( M = N
| ~ cnt(M,A,T)
| ~ part_of(M,Rho)
| ~ no_right(M)
| ~ sP1_prd(M,N,T,A,Rho) ) ),
inference(miniscoping,[status(thm)],[f61]) ).
fof(f63,plain,
! [X0,X1,X2,X3,X4] :
( X0 = X1
| ~ cnt(X0,X3,X2)
| ~ part_of(X0,X4)
| ~ no_right(X0)
| ~ sP1_prd(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f68,plain,
! [X0,X1,X2,X3] : sP0_prd(X0,X0,X1,X2,X3),
inference(destructive_equality_resolution,[status(thm)],[f60]) ).
fof(f71,plain,
( l = l
| ~ cnt(l,some_action,some_target)
| ~ part_of(l,rho1) ),
inference(resolution,[status(thm)],[f53,f40]) ).
fof(f72,plain,
! [X0,X1,X2,X3,X4] :
( sP0_prd(X0,X1,X2,X3,X4)
| X0 = l
| ~ cnt(X0,some_action,some_target)
| ~ part_of(X0,rho1) ),
inference(resolution,[status(thm)],[f53,f57]) ).
fof(f73,definition,
( sQ0_spl
<=> part_of(l,rho1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f75,plain,
( sQ0_spl
| ~ part_of(l,rho1) ),
inference(component_clause,[status(thm)],[f73]) ).
fof(f76,definition,
( sQ1_spl
<=> cnt(l,some_action,some_target) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f78,plain,
( sQ1_spl
| ~ cnt(l,some_action,some_target) ),
inference(component_clause,[status(thm)],[f76]) ).
fof(f79,definition,
( sQ2_spl
<=> l = l ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f82,plain,
( sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f71,f73,f76,f79]) ).
fof(f85,plain,
! [X0,X1,X2,X3,X4] :
( sP1_prd(X4,sK1_skl(X1,X2,X3),X1,X2,X3)
| ~ cnt(X0,X2,X1)
| ~ part_of(X0,X3)
| ~ permission(X0)
| ~ odrl_rel(X3)
| sK0_skl(X0,X1,X2,X3) = l
| ~ cnt(sK0_skl(X0,X1,X2,X3),some_action,some_target)
| ~ part_of(sK0_skl(X0,X1,X2,X3),rho1) ),
inference(resolution,[status(thm)],[f72,f30]) ).
fof(f87,plain,
! [X0,X1,X2,X3] :
( sP1_prd(X3,sK1_skl(X1,X2,rho1),X1,X2,rho1)
| ~ cnt(X0,X2,X1)
| ~ part_of(X0,rho1)
| ~ permission(X0)
| sK0_skl(X0,X1,X2,rho1) = l
| ~ cnt(sK0_skl(X0,X1,X2,rho1),some_action,some_target)
| ~ part_of(sK0_skl(X0,X1,X2,rho1),rho1) ),
inference(resolution,[status(thm)],[f85,f39]) ).
fof(f89,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( sP0_prd(sK0_skl(X0,X1,X2,rho1),X4,X5,X6,rho1)
| sP1_prd(X3,sK1_skl(X1,X2,rho1),X1,X2,rho1)
| ~ cnt(X0,X2,X1)
| ~ part_of(X0,rho1)
| ~ permission(X0)
| sK0_skl(X0,X1,X2,rho1) = l
| ~ cnt(sK0_skl(X0,X1,X2,rho1),some_action,some_target) ),
inference(resolution,[status(thm)],[f87,f58]) ).
fof(f92,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( sP0_prd(sK0_skl(X0,X1,X2,rho1),X7,some_target,some_action,X8)
| sP0_prd(sK0_skl(X0,X1,X2,rho1),X4,X5,X6,rho1)
| sP1_prd(X3,sK1_skl(X1,X2,rho1),X1,X2,rho1)
| ~ cnt(X0,X2,X1)
| ~ part_of(X0,rho1)
| ~ permission(X0)
| sK0_skl(X0,X1,X2,rho1) = l ),
inference(resolution,[status(thm)],[f89,f59]) ).
fof(f94,plain,
! [X0,X1,X2,X3,X4,X5] :
( sP1_prd(X5,sK1_skl(some_target,some_action,rho1),some_target,some_action,rho1)
| ~ cnt(X0,some_action,some_target)
| ~ part_of(X0,rho1)
| ~ permission(X0)
| ~ odrl_rel(rho1)
| sP0_prd(sK0_skl(X0,some_target,some_action,rho1),X2,X3,X4,rho1)
| sP1_prd(X1,sK1_skl(some_target,some_action,rho1),some_target,some_action,rho1)
| ~ cnt(X0,some_action,some_target)
| ~ part_of(X0,rho1)
| ~ permission(X0)
| sK0_skl(X0,some_target,some_action,rho1) = l ),
inference(resolution,[status(thm)],[f92,f30]) ).
fof(f96,definition,
! [X0,X2,X3,X4] :
( sQ3_spl
<=> ( ~ cnt(X0,some_action,some_target)
| ~ part_of(X0,rho1)
| ~ permission(X0)
| sP0_prd(sK0_skl(X0,some_target,some_action,rho1),X2,X3,X4,rho1)
| ~ cnt(X0,some_action,some_target)
| ~ part_of(X0,rho1)
| ~ permission(X0)
| sK0_skl(X0,some_target,some_action,rho1) = l ) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f97,plain,
! [X0,X1,X2,X3] :
( ~ sQ3_spl
| ~ cnt(X0,some_action,some_target)
| ~ part_of(X0,rho1)
| ~ permission(X0)
| sP0_prd(sK0_skl(X0,some_target,some_action,rho1),X1,X2,X3,rho1)
| ~ cnt(X0,some_action,some_target)
| ~ part_of(X0,rho1)
| ~ permission(X0)
| sK0_skl(X0,some_target,some_action,rho1) = l ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f99,definition,
! [X1] :
( sQ4_spl
<=> sP1_prd(X1,sK1_skl(some_target,some_action,rho1),some_target,some_action,rho1) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f100,plain,
! [X0] :
( ~ sQ4_spl
| sP1_prd(X0,sK1_skl(some_target,some_action,rho1),some_target,some_action,rho1) ),
inference(component_clause,[status(thm)],[f99]) ).
fof(f102,definition,
( sQ5_spl
<=> odrl_rel(rho1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f104,plain,
( sQ5_spl
| ~ odrl_rel(rho1) ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f105,plain,
( ~ sQ5_spl
| sQ4_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f94,f96,f99,f102]) ).
fof(f106,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f104,f39]) ).
fof(f107,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f106]) ).
fof(f108,plain,
! [X0,X1,X2,X3] :
( ~ sQ3_spl
| sP0_prd(sK0_skl(X0,some_target,some_action,rho1),X1,X2,X3,rho1)
| ~ cnt(X0,some_action,some_target)
| ~ part_of(X0,rho1)
| ~ permission(X0)
| sK0_skl(X0,some_target,some_action,rho1) = l ),
inference(duplicate_literals_removal,[status(thm)],[f97]) ).
fof(f111,plain,
! [X0] :
( ~ sQ4_spl
| X0 = sK1_skl(some_target,some_action,rho1)
| ~ cnt(X0,some_action,some_target)
| ~ part_of(X0,rho1)
| ~ no_right(X0) ),
inference(resolution,[status(thm)],[f100,f63]) ).
fof(f149,definition,
( sQ15_spl
<=> permission(l) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f151,plain,
( sQ15_spl
| ~ permission(l) ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f161,plain,
! [X0,X1] :
( ~ sQ3_spl
| sP1_prd(X1,sK1_skl(some_target,some_action,rho1),some_target,some_action,rho1)
| ~ cnt(X0,some_action,some_target)
| ~ part_of(X0,rho1)
| ~ permission(X0)
| ~ odrl_rel(rho1)
| ~ cnt(X0,some_action,some_target)
| ~ part_of(X0,rho1)
| ~ permission(X0)
| sK0_skl(X0,some_target,some_action,rho1) = l ),
inference(resolution,[status(thm)],[f108,f30]) ).
fof(f163,definition,
! [X0] :
( sQ16_spl
<=> ( ~ cnt(X0,some_action,some_target)
| ~ part_of(X0,rho1)
| ~ permission(X0)
| ~ cnt(X0,some_action,some_target)
| ~ part_of(X0,rho1)
| ~ permission(X0)
| sK0_skl(X0,some_target,some_action,rho1) = l ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f164,plain,
! [X0] :
( ~ sQ16_spl
| ~ cnt(X0,some_action,some_target)
| ~ part_of(X0,rho1)
| ~ permission(X0)
| ~ cnt(X0,some_action,some_target)
| ~ part_of(X0,rho1)
| ~ permission(X0)
| sK0_skl(X0,some_target,some_action,rho1) = l ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,plain,
( ~ sQ3_spl
| sQ4_spl
| ~ sQ5_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f161,f163,f102,f99,f96]) ).
fof(f167,plain,
! [X0] :
( ~ sQ16_spl
| ~ cnt(X0,some_action,some_target)
| ~ part_of(X0,rho1)
| ~ permission(X0)
| sK0_skl(X0,some_target,some_action,rho1) = l ),
inference(duplicate_literals_removal,[status(thm)],[f164]) ).
fof(f224,plain,
( ~ sQ16_spl
| ~ cnt(l,some_action,some_target)
| ~ part_of(l,rho1)
| sK0_skl(l,some_target,some_action,rho1) = l ),
inference(resolution,[status(thm)],[f167,f40]) ).
fof(f226,definition,
( sQ23_spl
<=> sK0_skl(l,some_target,some_action,rho1) = l ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( ~ sQ23_spl
| sK0_skl(l,some_target,some_action,rho1) = l ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| ~ sQ0_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f224,f226,f73,f76,f163]) ).
fof(f230,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f78,f46]) ).
fof(f231,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f230]) ).
fof(f232,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f75,f43]) ).
fof(f233,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f232]) ).
fof(f239,plain,
! [X0] :
( ~ sQ23_spl
| sP1_prd(X0,sK1_skl(some_target,some_action,rho1),some_target,some_action,rho1)
| ~ sP0_prd(l,l,some_target,some_action,rho1)
| ~ cnt(l,some_action,some_target)
| ~ part_of(l,rho1)
| ~ permission(l)
| ~ odrl_rel(rho1) ),
inference(paramodulation,[status(thm)],[f227,f30]) ).
fof(f260,definition,
( sQ29_spl
<=> sP0_prd(l,l,some_target,some_action,rho1) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f262,plain,
( sQ29_spl
| ~ sP0_prd(l,l,some_target,some_action,rho1) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,plain,
( ~ sQ23_spl
| sQ4_spl
| ~ sQ29_spl
| ~ sQ1_spl
| ~ sQ0_spl
| ~ sQ15_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f239,f102,f149,f73,f76,f260,f99,f226]) ).
fof(f264,plain,
( sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f262,f68]) ).
fof(f265,plain,
sQ29_spl,
inference(contradiction_clause,[status(thm)],[f264]) ).
fof(f271,plain,
( ~ sQ4_spl
| n2 = sK1_skl(some_target,some_action,rho1)
| ~ cnt(n2,some_action,some_target)
| ~ part_of(n2,rho1) ),
inference(resolution,[status(thm)],[f111,f42]) ).
fof(f272,plain,
( ~ sQ4_spl
| n1 = sK1_skl(some_target,some_action,rho1)
| ~ cnt(n1,some_action,some_target)
| ~ part_of(n1,rho1) ),
inference(resolution,[status(thm)],[f111,f41]) ).
fof(f275,definition,
( sQ31_spl
<=> part_of(n2,rho1) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( sQ31_spl
| ~ part_of(n2,rho1) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,definition,
( sQ32_spl
<=> cnt(n2,some_action,some_target) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( sQ32_spl
| ~ cnt(n2,some_action,some_target) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,definition,
( sQ33_spl
<=> n2 = sK1_skl(some_target,some_action,rho1) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( ~ sQ33_spl
| n2 = sK1_skl(some_target,some_action,rho1) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,plain,
( ~ sQ4_spl
| sQ33_spl
| ~ sQ32_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f271,f275,f278,f281,f99]) ).
fof(f285,definition,
( sQ34_spl
<=> part_of(n1,rho1) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( sQ34_spl
| ~ part_of(n1,rho1) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f288,definition,
( sQ35_spl
<=> cnt(n1,some_action,some_target) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f290,plain,
( sQ35_spl
| ~ cnt(n1,some_action,some_target) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,definition,
( sQ36_spl
<=> n1 = sK1_skl(some_target,some_action,rho1) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ36_spl
| n1 = sK1_skl(some_target,some_action,rho1) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,plain,
( ~ sQ4_spl
| sQ36_spl
| ~ sQ35_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f272,f285,f288,f291,f99]) ).
fof(f295,plain,
( sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f290,f47]) ).
fof(f296,plain,
sQ35_spl,
inference(contradiction_clause,[status(thm)],[f295]) ).
fof(f297,plain,
( sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f287,f44]) ).
fof(f298,plain,
sQ34_spl,
inference(contradiction_clause,[status(thm)],[f297]) ).
fof(f299,plain,
( sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f280,f48]) ).
fof(f300,plain,
sQ32_spl,
inference(contradiction_clause,[status(thm)],[f299]) ).
fof(f301,plain,
( sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f277,f45]) ).
fof(f302,plain,
sQ31_spl,
inference(contradiction_clause,[status(thm)],[f301]) ).
fof(f303,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f151,f40]) ).
fof(f304,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f303]) ).
fof(f327,plain,
( ~ sQ33_spl
| ~ sQ36_spl
| n2 = n1 ),
inference(forward_demodulation,[status(thm)],[f292,f282]) ).
fof(f328,plain,
( ~ sQ33_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f327,f51]) ).
fof(f329,plain,
( ~ sQ33_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f328]) ).
fof(f330,plain,
$false,
inference(sat_refutation,[status(thm)],[f82,f105,f107,f166,f229,f231,f233,f263,f265,f284,f294,f296,f298,f300,f302,f304,f329]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT114+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 01:31:23 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.39 % Refutation found
% 0.11/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.41 % Elapsed time: 0.032831 seconds
% 0.15/0.41 % CPU time: 0.095543 seconds
% 0.15/0.41 % Total memory used: 3.147 MB
% 0.15/0.41 % Net memory used: 3.055 MB
%------------------------------------------------------------------------------