%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT117+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 : Tue Sep 8 06:20:03 AM UTC 2026
% Result : Theorem 0.22s 0.53s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of clauses : 34 ( 14 unt; 0 nHn; 34 RR)
% Number of literals : 156 ( 0 equ; 134 neg)
% Maximal clause size : 16 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-6 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
action(read),
file('MGT117+1.p',unknown),
[] ).
cnf(4,axiom,
target(museum_api),
file('MGT117+1.p',unknown),
[] ).
cnf(5,axiom,
rule(p1),
file('MGT117+1.p',unknown),
[] ).
cnf(7,axiom,
perm(p1),
file('MGT117+1.p',unknown),
[] ).
cnf(8,axiom,
strong(p1),
file('MGT117+1.p',unknown),
[] ).
cnf(9,axiom,
aee(p1,bibliothek),
file('MGT117+1.p',unknown),
[] ).
cnf(10,axiom,
aer(p1,museen),
file('MGT117+1.p',unknown),
[] ).
cnf(11,axiom,
act(p1,read),
file('MGT117+1.p',unknown),
[] ).
cnf(12,axiom,
tgt(p1,museum_api),
file('MGT117+1.p',unknown),
[] ).
cnf(13,axiom,
activates(e1,p1),
file('MGT117+1.p',unknown),
[] ).
cnf(15,axiom,
disability(skf3(u,v,w,x,y,z)),
file('MGT117+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ disability(u)
| ~ part_of(u,v)
| ~ bearer(u,museen)
| ~ cnt(u,read,museum_api)
| ~ founds_imm(e1,v,p1) ),
file('MGT117+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ perm(u)
| ~ strong(u)
| ~ aer(u,v)
| ~ aee(u,w)
| ~ activates(x,u)
| ~ tgt(u,y)
| ~ act(u,z)
| bearer(skf3(v,w,y,z,u,x),v) ),
file('MGT117+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ perm(u)
| ~ strong(u)
| ~ aer(u,v)
| ~ aee(u,w)
| ~ activates(x,u)
| ~ tgt(u,y)
| ~ act(u,z)
| cnt(skf3(v,w,y,z,u,x),z,y) ),
file('MGT117+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ perm(u)
| ~ strong(u)
| ~ aer(u,v)
| ~ aee(u,w)
| ~ activates(x,u)
| ~ tgt(u,y)
| ~ act(u,z)
| founds_imm(x,skf5(u,x,x1,x2,x3,x4),u) ),
file('MGT117+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ perm(u)
| ~ strong(u)
| ~ aer(u,v)
| ~ aee(u,w)
| ~ activates(x,u)
| ~ tgt(u,y)
| ~ act(u,z)
| part_of(skf3(v,w,y,z,u,x),skf5(u,x,z,y,w,v)) ),
file('MGT117+1.p',unknown),
[] ).
cnf(36,plain,
( ~ perm(u)
| ~ strong(u)
| ~ disability(skf3(v,w,museum_api,read,u,x))
| ~ aer(u,v)
| ~ aee(u,w)
| ~ activates(x,u)
| ~ tgt(u,museum_api)
| ~ act(u,read)
| ~ part_of(skf3(v,w,museum_api,read,u,x),y)
| ~ bearer(skf3(v,w,museum_api,read,u,x),museen)
| ~ founds_imm(e1,y,p1) ),
inference(res,[status(thm),theory(equality)],[19,16]),
[iquote('0:Res:19.7,16.3')] ).
cnf(37,plain,
( ~ perm(u)
| ~ strong(u)
| ~ aer(u,v)
| ~ aee(u,w)
| ~ activates(x,u)
| ~ tgt(u,museum_api)
| ~ act(u,read)
| ~ part_of(skf3(v,w,museum_api,read,u,x),y)
| ~ bearer(skf3(v,w,museum_api,read,u,x),museen)
| ~ founds_imm(e1,y,p1) ),
inference(ssi,[status(thm)],[36,15,4,3]),
[iquote('0:SSi:36.2,15.0,4.0,3.0')] ).
cnf(38,plain,
( ~ perm(p1)
| ~ strong(p1)
| ~ aee(p1,u)
| ~ activates(v,p1)
| ~ tgt(p1,w)
| ~ act(p1,x)
| founds_imm(v,skf5(p1,v,y,z,x1,x2),p1) ),
inference(res,[status(thm),theory(equality)],[10,21]),
[iquote('0:Res:10.0,21.2')] ).
cnf(39,plain,
( ~ aee(p1,u)
| ~ activates(v,p1)
| ~ tgt(p1,w)
| ~ act(p1,x)
| founds_imm(v,skf5(p1,v,y,z,x1,x2),p1) ),
inference(ssi,[status(thm)],[38,5,8,7]),
[iquote('0:SSi:38.1,38.0,5.0,8.0,7.0,5.0,8.0,7.0')] ).
cnf(40,plain,
( ~ activates(u,p1)
| ~ tgt(p1,v)
| ~ act(p1,w)
| founds_imm(u,skf5(p1,u,x,y,z,x1),p1) ),
inference(res,[status(thm),theory(equality)],[9,39]),
[iquote('0:Res:9.0,39.0')] ).
cnf(41,plain,
( ~ tgt(p1,u)
| ~ act(p1,v)
| founds_imm(e1,skf5(p1,e1,w,x,y,z),p1) ),
inference(res,[status(thm),theory(equality)],[13,40]),
[iquote('0:Res:13.0,40.0')] ).
cnf(42,plain,
( ~ act(p1,u)
| founds_imm(e1,skf5(p1,e1,v,w,x,y),p1) ),
inference(res,[status(thm),theory(equality)],[12,41]),
[iquote('0:Res:12.0,41.0')] ).
cnf(43,plain,
founds_imm(e1,skf5(p1,e1,u,v,w,x),p1),
inference(res,[status(thm),theory(equality)],[11,42]),
[iquote('0:Res:11.0,42.0')] ).
cnf(45,plain,
( ~ perm(u)
| ~ strong(u)
| ~ perm(u)
| ~ strong(u)
| ~ aer(u,v)
| ~ aee(u,w)
| ~ activates(x,u)
| ~ tgt(u,museum_api)
| ~ act(u,read)
| ~ aer(u,v)
| ~ aee(u,w)
| ~ activates(x,u)
| ~ tgt(u,museum_api)
| ~ act(u,read)
| ~ bearer(skf3(v,w,museum_api,read,u,x),museen)
| ~ founds_imm(e1,skf5(u,x,read,museum_api,w,v),p1) ),
inference(res,[status(thm),theory(equality)],[22,37]),
[iquote('0:Res:22.7,37.7')] ).
cnf(46,plain,
( ~ perm(u)
| ~ strong(u)
| ~ aer(u,v)
| ~ aee(u,w)
| ~ activates(x,u)
| ~ tgt(u,museum_api)
| ~ act(u,read)
| ~ bearer(skf3(v,w,museum_api,read,u,x),museen)
| ~ founds_imm(e1,skf5(u,x,read,museum_api,w,v),p1) ),
inference(obv,[status(thm),theory(equality)],[45]),
[iquote('0:Obv:45.8')] ).
cnf(47,plain,
( ~ perm(p1)
| ~ strong(p1)
| ~ aer(p1,u)
| ~ aee(p1,v)
| ~ activates(e1,p1)
| ~ tgt(p1,museum_api)
| ~ act(p1,read)
| ~ bearer(skf3(u,v,museum_api,read,p1,e1),museen) ),
inference(res,[status(thm),theory(equality)],[43,46]),
[iquote('0:Res:43.0,46.8')] ).
cnf(48,plain,
( ~ aer(p1,u)
| ~ aee(p1,v)
| ~ activates(e1,p1)
| ~ tgt(p1,museum_api)
| ~ act(p1,read)
| ~ bearer(skf3(u,v,museum_api,read,p1,e1),museen) ),
inference(ssi,[status(thm)],[47,5,8,7]),
[iquote('0:SSi:47.1,47.0,5.0,8.0,7.0,5.0,8.0,7.0')] ).
cnf(49,plain,
( ~ aer(p1,u)
| ~ aee(p1,v)
| ~ bearer(skf3(u,v,museum_api,read,p1,e1),museen) ),
inference(mrr,[status(thm)],[48,13,12,11]),
[iquote('0:MRR:48.2,48.3,48.4,13.0,12.0,11.0')] ).
cnf(50,plain,
( ~ perm(p1)
| ~ strong(p1)
| ~ aer(p1,museen)
| ~ aee(p1,u)
| ~ activates(e1,p1)
| ~ tgt(p1,museum_api)
| ~ act(p1,read)
| ~ aer(p1,museen)
| ~ aee(p1,u) ),
inference(res,[status(thm),theory(equality)],[17,49]),
[iquote('0:Res:17.7,49.2')] ).
cnf(51,plain,
( ~ perm(p1)
| ~ strong(p1)
| ~ activates(e1,p1)
| ~ tgt(p1,museum_api)
| ~ act(p1,read)
| ~ aer(p1,museen)
| ~ aee(p1,u) ),
inference(obv,[status(thm),theory(equality)],[50]),
[iquote('0:Obv:50.3')] ).
cnf(52,plain,
( ~ activates(e1,p1)
| ~ tgt(p1,museum_api)
| ~ act(p1,read)
| ~ aer(p1,museen)
| ~ aee(p1,u) ),
inference(ssi,[status(thm)],[51,5,8,7]),
[iquote('0:SSi:51.1,51.0,5.0,8.0,7.0,5.0,8.0,7.0')] ).
cnf(53,plain,
~ aee(p1,u),
inference(mrr,[status(thm)],[52,13,12,11,10]),
[iquote('0:MRR:52.0,52.1,52.2,52.3,13.0,12.0,11.0,10.0')] ).
cnf(54,plain,
$false,
inference(unc,[status(thm)],[53,9]),
[iquote('0:UnC:53.0,9.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT117+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.03 % Command : run_spass %d %s
% 0.07/0.34 % Computer : n004.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 7 14:09:30 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.22/0.53
% 0.22/0.53 SPASS V 3.9
% 0.22/0.53 SPASS beiseite: Proof found.
% 0.22/0.53 % SZS status Theorem
% 0.22/0.53 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.53 SPASS derived 12 clauses, backtracked 0 clauses, performed 0 splits and kept 33 clauses.
% 0.22/0.53 SPASS allocated 97933 KBytes.
% 0.22/0.53 SPASS spent 0:00:00.17 on the problem.
% 0.22/0.53 0:00:00.06 for the input.
% 0.22/0.53 0:00:00.06 for the FLOTTER CNF translation.
% 0.22/0.53 0:00:00.00 for inferences.
% 0.22/0.53 0:00:00.00 for the backtracking.
% 0.22/0.53 0:00:00.00 for the reduction.
% 0.22/0.53
% 0.22/0.53
% 0.22/0.53 Here is a proof with depth 7, length 34 :
% 0.22/0.53 % SZS output start Refutation
% See solution above
% 0.22/0.53 Formulae used in the proof : action_read target_museum rule_p1 perm_p1 strong_p1 aee_p1 aer_p1 act_p1 tgt_p1 act_e1_p1 ax_perm_relator_strong conjecture
% 0.22/0.53
%------------------------------------------------------------------------------