%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT117+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n014.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 : Fri Sep 25 02:12:00 PM UTC 2026
% Result : Theorem 5.93s 11.22s
% Output : Proof 5.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 57 ( 44 unt; 0 def)
% Number of atoms : 157 ( 22 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 167 ( 67 ~; 61 |; 38 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 3 avg)
% Maximal term depth : 9 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-6 aty)
% Number of variables : 96 ( 0 sgn 22 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,axiom,
! [P,X,Y,A,T,E] :
( ( activates(E,P)
& tgt(P,T)
& act(P,A)
& aer(P,Y)
& aee(P,X)
& strong(P)
& perm(P) )
=> ? [RhoI,Im,Db] :
( part_of(Db,RhoI)
& cnt(Db,A,T)
& bearer(Db,Y)
& disability(Db)
& part_of(Im,RhoI)
& cnt(Im,A,T)
& bearer(Im,X)
& immunity(Im)
& founds_imm(E,RhoI,P) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_perm_relator_strong) ).
fof(f0_nnf,plain,
! [P,X,Y,A,T,E] :
( ? [RhoI,Im,Db] :
( part_of(Db,RhoI)
& cnt(Db,A,T)
& bearer(Db,Y)
& disability(Db)
& part_of(Im,RhoI)
& cnt(Im,A,T)
& bearer(Im,X)
& immunity(Im)
& founds_imm(E,RhoI,P) )
| ~ activates(E,P)
| ~ tgt(P,T)
| ~ act(P,A)
| ~ aer(P,Y)
| ~ aee(P,X)
| ~ strong(P)
| ~ perm(P) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [P,X,Y,A,T,E] :
( ( part_of(sk2(P,X,Y,A,T,E),sk0(P,X,Y,A,T,E))
& cnt(sk2(P,X,Y,A,T,E),A,T)
& bearer(sk2(P,X,Y,A,T,E),Y)
& disability(sk2(P,X,Y,A,T,E))
& part_of(sk1(P,X,Y,A,T,E),sk0(P,X,Y,A,T,E))
& cnt(sk1(P,X,Y,A,T,E),A,T)
& bearer(sk1(P,X,Y,A,T,E),X)
& immunity(sk1(P,X,Y,A,T,E))
& founds_imm(E,sk0(P,X,Y,A,T,E),P) )
| ~ activates(E,P)
| ~ tgt(P,T)
| ~ act(P,A)
| ~ aer(P,Y)
| ~ aee(P,X)
| ~ strong(P)
| ~ perm(P) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f0_nnf]) ).
cnf(c8,plain,
( part_of(sk2(X0,X1,X2,X3,X4,X5),sk0(X0,X1,X2,X3,X4,X5))
| ~ activates(X5,X0)
| ~ tgt(X0,X4)
| ~ act(X0,X3)
| ~ aer(X0,X2)
| ~ aee(X0,X1)
| ~ strong(X0)
| ~ perm(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi8,axiom,
ifeq(perm(X0),true,ifeq(strong(X0),true,ifeq(aee(X0,X1),true,ifeq(aer(X0,X2),true,ifeq(act(X0,X3),true,ifeq(tgt(X0,X4),true,ifeq(activates(X5,X0),true,part_of(sk2(X0,X1,X2,X3,X4,X5),sk0(X0,X1,X2,X3,X4,X5)),true),true),true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
fof(f7,axiom,
perm(p1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',perm_p1) ).
fof(f7_nnf,plain,
perm(p1),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c15,plain,
perm(p1),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(hi15,axiom,
perm(p1) = true,
inference(equality_encoding,[status(esa)],[c15]) ).
fof(f8,axiom,
strong(p1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',strong_p1) ).
fof(f8_nnf,plain,
strong(p1),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c16,plain,
strong(p1),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(hi16,axiom,
strong(p1) = true,
inference(equality_encoding,[status(esa)],[c16]) ).
fof(f9,axiom,
aee(p1,bibliothek),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aee_p1) ).
fof(f9_nnf,plain,
aee(p1,bibliothek),
inference(nnf_transformation,[status(thm)],[f9]) ).
cnf(c17,plain,
aee(p1,bibliothek),
inference(cnf_transformation,[status(esa)],[f9_nnf]) ).
cnf(hi17,axiom,
aee(p1,bibliothek) = true,
inference(equality_encoding,[status(esa)],[c17]) ).
fof(f10,axiom,
aer(p1,museen),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aer_p1) ).
fof(f10_nnf,plain,
aer(p1,museen),
inference(nnf_transformation,[status(thm)],[f10]) ).
cnf(c18,plain,
aer(p1,museen),
inference(cnf_transformation,[status(esa)],[f10_nnf]) ).
cnf(hi18,axiom,
aer(p1,museen) = true,
inference(equality_encoding,[status(esa)],[c18]) ).
fof(f11,axiom,
act(p1,read),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',act_p1) ).
fof(f11_nnf,plain,
act(p1,read),
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c19,plain,
act(p1,read),
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(hi19,axiom,
act(p1,read) = true,
inference(equality_encoding,[status(esa)],[c19]) ).
fof(f12,axiom,
tgt(p1,museum_api),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tgt_p1) ).
fof(f12_nnf,plain,
tgt(p1,museum_api),
inference(nnf_transformation,[status(thm)],[f12]) ).
cnf(c20,plain,
tgt(p1,museum_api),
inference(cnf_transformation,[status(esa)],[f12_nnf]) ).
cnf(hi20,axiom,
tgt(p1,museum_api) = true,
inference(equality_encoding,[status(esa)],[c20]) ).
fof(f13,axiom,
activates(e1,p1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',act_e1_p1) ).
fof(f13_nnf,plain,
activates(e1,p1),
inference(nnf_transformation,[status(thm)],[f13]) ).
cnf(c21,plain,
activates(e1,p1),
inference(cnf_transformation,[status(esa)],[f13_nnf]) ).
cnf(hi21,axiom,
activates(e1,p1) = true,
inference(equality_encoding,[status(esa)],[c21]) ).
cnf(h0,plain,
part_of(sk2(p1,bibliothek,museen,read,museum_api,e1),sk0(p1,bibliothek,museen,read,museum_api,e1)) = true,
inference(hyper_resolution,[status(thm)],[hi8,hi15,hi16,hi17,hi18,hi19,hi20,hi21]) ).
cnf(c7,plain,
( cnt(sk2(X0,X1,X2,X3,X4,X5),X3,X4)
| ~ activates(X5,X0)
| ~ tgt(X0,X4)
| ~ act(X0,X3)
| ~ aer(X0,X2)
| ~ aee(X0,X1)
| ~ strong(X0)
| ~ perm(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi7,axiom,
ifeq(perm(X0),true,ifeq(strong(X0),true,ifeq(aee(X0,X1),true,ifeq(aer(X0,X2),true,ifeq(act(X0,X3),true,ifeq(tgt(X0,X4),true,ifeq(activates(X5,X0),true,cnt(sk2(X0,X1,X2,X3,X4,X5),X3,X4),true),true),true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(h1,plain,
cnt(sk2(p1,bibliothek,museen,read,museum_api,e1),read,museum_api) = true,
inference(hyper_resolution,[status(thm)],[hi7,hi15,hi16,hi17,hi18,hi19,hi20,hi21]) ).
cnf(c6,plain,
( bearer(sk2(X0,X1,X2,X3,X4,X5),X2)
| ~ activates(X5,X0)
| ~ tgt(X0,X4)
| ~ act(X0,X3)
| ~ aer(X0,X2)
| ~ aee(X0,X1)
| ~ strong(X0)
| ~ perm(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi6,axiom,
ifeq(perm(X0),true,ifeq(strong(X0),true,ifeq(aee(X0,X1),true,ifeq(aer(X0,X2),true,ifeq(act(X0,X3),true,ifeq(tgt(X0,X4),true,ifeq(activates(X5,X0),true,bearer(sk2(X0,X1,X2,X3,X4,X5),X2),true),true),true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(h2,plain,
bearer(sk2(p1,bibliothek,museen,read,museum_api,e1),museen) = true,
inference(hyper_resolution,[status(thm)],[hi6,hi15,hi16,hi17,hi18,hi19,hi20,hi21]) ).
cnf(c5,plain,
( disability(sk2(X0,X1,X2,X3,X4,X5))
| ~ activates(X5,X0)
| ~ tgt(X0,X4)
| ~ act(X0,X3)
| ~ aer(X0,X2)
| ~ aee(X0,X1)
| ~ strong(X0)
| ~ perm(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi5,axiom,
ifeq(perm(X0),true,ifeq(strong(X0),true,ifeq(aee(X0,X1),true,ifeq(aer(X0,X2),true,ifeq(act(X0,X3),true,ifeq(tgt(X0,X4),true,ifeq(activates(X5,X0),true,disability(sk2(X0,X1,X2,X3,X4,X5)),true),true),true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(h3,plain,
disability(sk2(p1,bibliothek,museen,read,museum_api,e1)) = true,
inference(hyper_resolution,[status(thm)],[hi5,hi15,hi16,hi17,hi18,hi19,hi20,hi21]) ).
cnf(c0,plain,
( founds_imm(X5,sk0(X0,X1,X2,X3,X4,X5),X0)
| ~ activates(X5,X0)
| ~ tgt(X0,X4)
| ~ act(X0,X3)
| ~ aer(X0,X2)
| ~ aee(X0,X1)
| ~ strong(X0)
| ~ perm(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,axiom,
ifeq(perm(X0),true,ifeq(strong(X0),true,ifeq(aee(X0,X1),true,ifeq(aer(X0,X2),true,ifeq(act(X0,X3),true,ifeq(tgt(X0,X4),true,ifeq(activates(X5,X0),true,founds_imm(X5,sk0(X0,X1,X2,X3,X4,X5),X0),true),true),true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(h8,plain,
founds_imm(e1,sk0(p1,bibliothek,museen,read,museum_api,e1),p1) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi15,hi16,hi17,hi18,hi19,hi20,hi21]) ).
fof(f14,conjecture,
? [RhoI,Db] :
( part_of(Db,RhoI)
& cnt(Db,read,museum_api)
& bearer(Db,museen)
& disability(Db)
& founds_imm(e1,RhoI,p1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture) ).
fof(f14_neg,negated_conjecture,
~ ? [RhoI,Db] :
( part_of(Db,RhoI)
& cnt(Db,read,museum_api)
& bearer(Db,museen)
& disability(Db)
& founds_imm(e1,RhoI,p1) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f14_nnf,plain,
! [RhoI,Db] :
( ~ part_of(Db,RhoI)
| ~ cnt(Db,read,museum_api)
| ~ bearer(Db,museen)
| ~ disability(Db)
| ~ founds_imm(e1,RhoI,p1) ),
inference(nnf_transformation,[status(thm)],[f14_neg]) ).
fof(f14_sk,plain,
! [RhoI,Db] :
( ~ part_of(Db,RhoI)
| ~ cnt(Db,read,museum_api)
| ~ bearer(Db,museen)
| ~ disability(Db)
| ~ founds_imm(e1,RhoI,p1) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c22,plain,
( ~ part_of(X1,X0)
| ~ cnt(X1,read,museum_api)
| ~ bearer(X1,museen)
| ~ disability(X1)
| ~ founds_imm(e1,X0,p1) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(hi22,negated_conjecture,
ifeq(founds_imm(e1,X0,p1),true,ifeq(disability(X1),true,ifeq(bearer(X1,museen),true,ifeq(cnt(X1,read,museum_api),true,ifeq(part_of(X1,X0),true,false,true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c22]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi22,h8,h3,h2,h1,h0]) ).
cnf(t130,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c22]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t130]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT117+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/10.40 % Computer : n014.cluster.edu
% 0.11/10.40 % Model : x86_64 x86_64
% 0.11/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.40 % Memory : 8046.5625MB
% 0.11/10.40 % OS : Linux 6.8.0-71-generic
% 0.11/10.40 % CPULimit : 300
% 0.11/10.40 % WCLimit : 300
% 0.11/10.40 % DateTime : Thu Sep 24 01:25:44 UTC 2026
% 0.11/10.40 % CPUTime :
% 0.11/10.40 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.93/11.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.93/11.22 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------