%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT113+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n005.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 06:20:02 AM UTC 2026
% Result : Theorem 0.32s 0.59s
% Output : Refutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 23
% Syntax : Number of clauses : 53 ( 15 unt; 0 nHn; 53 RR)
% Number of literals : 327 ( 0 equ; 298 neg)
% Maximal clause size : 20 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 16 con; 0-6 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
action(distrib),
file('MGT113+1.p',unknown),
[] ).
cnf(4,axiom,
target(concert_ds),
file('MGT113+1.p',unknown),
[] ).
cnf(5,axiom,
rule(f1),
file('MGT113+1.p',unknown),
[] ).
cnf(6,axiom,
event(e1),
file('MGT113+1.p',unknown),
[] ).
cnf(7,axiom,
proh(f1),
file('MGT113+1.p',unknown),
[] ).
cnf(8,axiom,
has_rem(f1),
file('MGT113+1.p',unknown),
[] ).
cnf(9,axiom,
aee(f1,marketplace),
file('MGT113+1.p',unknown),
[] ).
cnf(10,axiom,
aer(f1,philharmonie),
file('MGT113+1.p',unknown),
[] ).
cnf(11,axiom,
act(f1,distrib),
file('MGT113+1.p',unknown),
[] ).
cnf(12,axiom,
tgt(f1,concert_ds),
file('MGT113+1.p',unknown),
[] ).
cnf(13,axiom,
activates(e1,f1),
file('MGT113+1.p',unknown),
[] ).
cnf(22,axiom,
power(skf16(u,v,w,x,y,z)),
file('MGT113+1.p',unknown),
[] ).
cnf(23,axiom,
subjection(skf15(u,v,w,x,y,z)),
file('MGT113+1.p',unknown),
[] ).
cnf(28,axiom,
( ~ subjection(u)
| ~ part_of(u,v)
| ~ founds_rem(w,v,x)
| ~ cnt(u,decl(y),z)
| about_event(u,w) ),
file('MGT113+1.p',unknown),
[] ).
cnf(29,axiom,
( ~ power(u)
| ~ part_of(u,v)
| ~ founds_rem(w,v,x)
| ~ cnt(u,decl(y),z)
| about_event(u,w) ),
file('MGT113+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ proh(u)
| ~ has_rem(u)
| ~ aer(u,v)
| ~ aee(u,w)
| ~ activates(x,u)
| ~ tgt(u,y)
| ~ act(u,z)
| bearer(skf15(w,v,y,z,u,x),w) ),
file('MGT113+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ proh(u)
| ~ has_rem(u)
| ~ aer(u,v)
| ~ aee(u,w)
| ~ activates(x,u)
| ~ tgt(u,y)
| ~ act(u,z)
| bearer(skf16(z,y,v,w,u,x),v) ),
file('MGT113+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ proh(u)
| ~ has_rem(u)
| ~ aer(u,v)
| ~ aee(u,w)
| ~ activates(x,u)
| ~ tgt(u,y)
| ~ act(u,z)
| founds_rem(x,skf17(u,x,x1,x2,x3,x4),u) ),
file('MGT113+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ proh(u)
| ~ has_rem(u)
| ~ aer(u,v)
| ~ aee(u,w)
| ~ activates(x,u)
| ~ tgt(u,y)
| ~ act(u,z)
| cnt(skf15(w,v,y,z,u,x),decl(z),y) ),
file('MGT113+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ proh(u)
| ~ has_rem(u)
| ~ aer(u,v)
| ~ aee(u,w)
| ~ activates(x,u)
| ~ tgt(u,y)
| ~ act(u,z)
| cnt(skf16(z,y,v,w,u,x),decl(z),y) ),
file('MGT113+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ proh(u)
| ~ has_rem(u)
| ~ aer(u,v)
| ~ aee(u,w)
| ~ activates(x,u)
| ~ tgt(u,y)
| ~ act(u,z)
| part_of(skf15(w,v,y,z,u,x),skf17(u,x,z,y,v,w)) ),
file('MGT113+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ proh(u)
| ~ has_rem(u)
| ~ aer(u,v)
| ~ aee(u,w)
| ~ activates(x,u)
| ~ tgt(u,y)
| ~ act(u,z)
| part_of(skf16(z,y,v,w,u,x),skf17(u,x,z,y,v,w)) ),
file('MGT113+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ power(u)
| ~ subjection(v)
| ~ part_of(v,w)
| ~ about_event(u,e1)
| ~ cnt(u,decl(distrib),concert_ds)
| ~ bearer(u,philharmonie)
| ~ founds_rem(e1,w,f1)
| ~ part_of(u,w)
| ~ bearer(v,marketplace)
| ~ cnt(v,decl(distrib),concert_ds)
| ~ about_event(v,e1) ),
file('MGT113+1.p',unknown),
[] ).
cnf(47,plain,
( ~ subjection(u)
| ~ power(v)
| ~ part_of(v,w)
| ~ part_of(u,w)
| ~ bearer(u,marketplace)
| ~ bearer(v,philharmonie)
| ~ cnt(u,decl(distrib),concert_ds)
| ~ cnt(v,decl(distrib),concert_ds)
| ~ founds_rem(e1,w,f1) ),
inference(mrr,[status(thm)],[46,29,28]),
[iquote('0:MRR:46.3,46.10,29.4,28.4')] ).
cnf(76,plain,
( ~ proh(f1)
| ~ has_rem(f1)
| ~ aee(f1,u)
| ~ activates(v,f1)
| ~ tgt(f1,w)
| ~ act(f1,x)
| founds_rem(v,skf17(f1,v,y,z,x1,x2),f1) ),
inference(res,[status(thm),theory(equality)],[10,39]),
[iquote('0:Res:10.0,39.2')] ).
cnf(77,plain,
( ~ aee(f1,u)
| ~ activates(v,f1)
| ~ tgt(f1,w)
| ~ act(f1,x)
| founds_rem(v,skf17(f1,v,y,z,x1,x2),f1) ),
inference(ssi,[status(thm)],[76,5,8,7]),
[iquote('0:SSi:76.1,76.0,5.0,8.0,7.0,5.0,8.0,7.0')] ).
cnf(78,plain,
( ~ activates(u,f1)
| ~ tgt(f1,v)
| ~ act(f1,w)
| founds_rem(u,skf17(f1,u,x,y,z,x1),f1) ),
inference(res,[status(thm),theory(equality)],[9,77]),
[iquote('0:Res:9.0,77.0')] ).
cnf(82,plain,
( ~ tgt(f1,u)
| ~ act(f1,v)
| founds_rem(e1,skf17(f1,e1,w,x,y,z),f1) ),
inference(res,[status(thm),theory(equality)],[13,78]),
[iquote('0:Res:13.0,78.0')] ).
cnf(83,plain,
( ~ act(f1,u)
| founds_rem(e1,skf17(f1,e1,v,w,x,y),f1) ),
inference(res,[status(thm),theory(equality)],[12,82]),
[iquote('0:Res:12.0,82.0')] ).
cnf(84,plain,
founds_rem(e1,skf17(f1,e1,u,v,w,x),f1),
inference(res,[status(thm),theory(equality)],[11,83]),
[iquote('0:Res:11.0,83.0')] ).
cnf(89,plain,
( ~ proh(u)
| ~ has_rem(u)
| ~ subjection(skf15(v,w,concert_ds,distrib,u,x))
| ~ power(y)
| ~ aer(u,w)
| ~ aee(u,v)
| ~ activates(x,u)
| ~ tgt(u,concert_ds)
| ~ act(u,distrib)
| ~ part_of(y,z)
| ~ part_of(skf15(v,w,concert_ds,distrib,u,x),z)
| ~ bearer(skf15(v,w,concert_ds,distrib,u,x),marketplace)
| ~ bearer(y,philharmonie)
| ~ cnt(y,decl(distrib),concert_ds)
| ~ founds_rem(e1,z,f1) ),
inference(res,[status(thm),theory(equality)],[40,47]),
[iquote('0:Res:40.7,47.6')] ).
cnf(90,plain,
( ~ proh(u)
| ~ has_rem(u)
| ~ power(v)
| ~ aer(u,w)
| ~ aee(u,x)
| ~ activates(y,u)
| ~ tgt(u,concert_ds)
| ~ act(u,distrib)
| ~ part_of(v,z)
| ~ part_of(skf15(x,w,concert_ds,distrib,u,y),z)
| ~ bearer(skf15(x,w,concert_ds,distrib,u,y),marketplace)
| ~ bearer(v,philharmonie)
| ~ cnt(v,decl(distrib),concert_ds)
| ~ founds_rem(e1,z,f1) ),
inference(ssi,[status(thm)],[89,23,4,3]),
[iquote('0:SSi:89.2,23.0,4.0,3.0')] ).
cnf(103,plain,
( ~ proh(u)
| ~ has_rem(u)
| ~ proh(u)
| ~ has_rem(u)
| ~ power(v)
| ~ aer(u,w)
| ~ aee(u,x)
| ~ activates(y,u)
| ~ tgt(u,concert_ds)
| ~ act(u,distrib)
| ~ aer(u,w)
| ~ aee(u,x)
| ~ activates(y,u)
| ~ tgt(u,concert_ds)
| ~ act(u,distrib)
| ~ part_of(v,skf17(u,y,distrib,concert_ds,w,x))
| ~ bearer(skf15(x,w,concert_ds,distrib,u,y),marketplace)
| ~ bearer(v,philharmonie)
| ~ cnt(v,decl(distrib),concert_ds)
| ~ founds_rem(e1,skf17(u,y,distrib,concert_ds,w,x),f1) ),
inference(res,[status(thm),theory(equality)],[44,90]),
[iquote('0:Res:44.7,90.9')] ).
cnf(104,plain,
( ~ proh(u)
| ~ has_rem(u)
| ~ power(v)
| ~ aer(u,w)
| ~ aee(u,x)
| ~ activates(y,u)
| ~ tgt(u,concert_ds)
| ~ act(u,distrib)
| ~ part_of(v,skf17(u,y,distrib,concert_ds,w,x))
| ~ bearer(skf15(x,w,concert_ds,distrib,u,y),marketplace)
| ~ bearer(v,philharmonie)
| ~ cnt(v,decl(distrib),concert_ds)
| ~ founds_rem(e1,skf17(u,y,distrib,concert_ds,w,x),f1) ),
inference(obv,[status(thm),theory(equality)],[103]),
[iquote('0:Obv:103.9')] ).
cnf(107,plain,
( ~ proh(f1)
| ~ has_rem(f1)
| ~ power(u)
| ~ aer(f1,v)
| ~ aee(f1,w)
| ~ activates(e1,f1)
| ~ tgt(f1,concert_ds)
| ~ act(f1,distrib)
| ~ part_of(u,skf17(f1,e1,distrib,concert_ds,v,w))
| ~ bearer(skf15(w,v,concert_ds,distrib,f1,e1),marketplace)
| ~ bearer(u,philharmonie)
| ~ cnt(u,decl(distrib),concert_ds) ),
inference(res,[status(thm),theory(equality)],[84,104]),
[iquote('0:Res:84.0,104.12')] ).
cnf(108,plain,
( ~ power(u)
| ~ aer(f1,v)
| ~ aee(f1,w)
| ~ activates(e1,f1)
| ~ tgt(f1,concert_ds)
| ~ act(f1,distrib)
| ~ part_of(u,skf17(f1,e1,distrib,concert_ds,v,w))
| ~ bearer(skf15(w,v,concert_ds,distrib,f1,e1),marketplace)
| ~ bearer(u,philharmonie)
| ~ cnt(u,decl(distrib),concert_ds) ),
inference(ssi,[status(thm)],[107,5,8,7]),
[iquote('0:SSi:107.1,107.0,5.0,8.0,7.0,5.0,8.0,7.0')] ).
cnf(109,plain,
( ~ power(u)
| ~ aer(f1,v)
| ~ aee(f1,w)
| ~ part_of(u,skf17(f1,e1,distrib,concert_ds,v,w))
| ~ bearer(skf15(w,v,concert_ds,distrib,f1,e1),marketplace)
| ~ bearer(u,philharmonie)
| ~ cnt(u,decl(distrib),concert_ds) ),
inference(mrr,[status(thm)],[108,13,12,11]),
[iquote('0:MRR:108.3,108.4,108.5,13.0,12.0,11.0')] ).
cnf(110,plain,
( ~ proh(f1)
| ~ has_rem(f1)
| ~ power(skf16(distrib,concert_ds,u,v,f1,e1))
| ~ aer(f1,u)
| ~ aee(f1,v)
| ~ activates(e1,f1)
| ~ tgt(f1,concert_ds)
| ~ act(f1,distrib)
| ~ aer(f1,u)
| ~ aee(f1,v)
| ~ bearer(skf15(v,u,concert_ds,distrib,f1,e1),marketplace)
| ~ bearer(skf16(distrib,concert_ds,u,v,f1,e1),philharmonie)
| ~ cnt(skf16(distrib,concert_ds,u,v,f1,e1),decl(distrib),concert_ds) ),
inference(res,[status(thm),theory(equality)],[45,109]),
[iquote('0:Res:45.7,109.3')] ).
cnf(115,plain,
( ~ proh(f1)
| ~ has_rem(f1)
| ~ power(skf16(distrib,concert_ds,u,v,f1,e1))
| ~ activates(e1,f1)
| ~ tgt(f1,concert_ds)
| ~ act(f1,distrib)
| ~ aer(f1,u)
| ~ aee(f1,v)
| ~ bearer(skf15(v,u,concert_ds,distrib,f1,e1),marketplace)
| ~ bearer(skf16(distrib,concert_ds,u,v,f1,e1),philharmonie)
| ~ cnt(skf16(distrib,concert_ds,u,v,f1,e1),decl(distrib),concert_ds) ),
inference(obv,[status(thm),theory(equality)],[110]),
[iquote('0:Obv:110.4')] ).
cnf(116,plain,
( ~ activates(e1,f1)
| ~ tgt(f1,concert_ds)
| ~ act(f1,distrib)
| ~ aer(f1,u)
| ~ aee(f1,v)
| ~ bearer(skf15(v,u,concert_ds,distrib,f1,e1),marketplace)
| ~ bearer(skf16(distrib,concert_ds,u,v,f1,e1),philharmonie)
| ~ cnt(skf16(distrib,concert_ds,u,v,f1,e1),decl(distrib),concert_ds) ),
inference(ssi,[status(thm)],[115,22,3,4,5,8,7,6]),
[iquote('0:SSi:115.2,115.1,115.0,22.0,3.0,4.0,5.0,8.0,7.0,6.0,5.0,8.0,7.0,5.0,8.0,7.0')] ).
cnf(117,plain,
( ~ aer(f1,u)
| ~ aee(f1,v)
| ~ bearer(skf15(v,u,concert_ds,distrib,f1,e1),marketplace)
| ~ bearer(skf16(distrib,concert_ds,u,v,f1,e1),philharmonie)
| ~ cnt(skf16(distrib,concert_ds,u,v,f1,e1),decl(distrib),concert_ds) ),
inference(mrr,[status(thm)],[116,13,12,11]),
[iquote('0:MRR:116.0,116.1,116.2,13.0,12.0,11.0')] ).
cnf(118,plain,
( ~ proh(f1)
| ~ has_rem(f1)
| ~ aer(f1,u)
| ~ aee(f1,v)
| ~ activates(e1,f1)
| ~ tgt(f1,concert_ds)
| ~ act(f1,distrib)
| ~ aer(f1,u)
| ~ aee(f1,v)
| ~ bearer(skf15(v,u,concert_ds,distrib,f1,e1),marketplace)
| ~ bearer(skf16(distrib,concert_ds,u,v,f1,e1),philharmonie) ),
inference(res,[status(thm),theory(equality)],[41,117]),
[iquote('0:Res:41.7,117.4')] ).
cnf(119,plain,
( ~ proh(f1)
| ~ has_rem(f1)
| ~ activates(e1,f1)
| ~ tgt(f1,concert_ds)
| ~ act(f1,distrib)
| ~ aer(f1,u)
| ~ aee(f1,v)
| ~ bearer(skf15(v,u,concert_ds,distrib,f1,e1),marketplace)
| ~ bearer(skf16(distrib,concert_ds,u,v,f1,e1),philharmonie) ),
inference(obv,[status(thm),theory(equality)],[118]),
[iquote('0:Obv:118.3')] ).
cnf(120,plain,
( ~ activates(e1,f1)
| ~ tgt(f1,concert_ds)
| ~ act(f1,distrib)
| ~ aer(f1,u)
| ~ aee(f1,v)
| ~ bearer(skf15(v,u,concert_ds,distrib,f1,e1),marketplace)
| ~ bearer(skf16(distrib,concert_ds,u,v,f1,e1),philharmonie) ),
inference(ssi,[status(thm)],[119,5,8,7]),
[iquote('0:SSi:119.1,119.0,5.0,8.0,7.0,5.0,8.0,7.0')] ).
cnf(121,plain,
( ~ aer(f1,u)
| ~ aee(f1,v)
| ~ bearer(skf15(v,u,concert_ds,distrib,f1,e1),marketplace)
| ~ bearer(skf16(distrib,concert_ds,u,v,f1,e1),philharmonie) ),
inference(mrr,[status(thm)],[120,13,12,11]),
[iquote('0:MRR:120.0,120.1,120.2,13.0,12.0,11.0')] ).
cnf(125,plain,
( ~ proh(f1)
| ~ has_rem(f1)
| ~ aer(f1,u)
| ~ aee(f1,marketplace)
| ~ activates(e1,f1)
| ~ tgt(f1,concert_ds)
| ~ act(f1,distrib)
| ~ aer(f1,u)
| ~ aee(f1,marketplace)
| ~ bearer(skf16(distrib,concert_ds,u,marketplace,f1,e1),philharmonie) ),
inference(res,[status(thm),theory(equality)],[37,121]),
[iquote('0:Res:37.7,121.2')] ).
cnf(126,plain,
( ~ proh(f1)
| ~ has_rem(f1)
| ~ activates(e1,f1)
| ~ tgt(f1,concert_ds)
| ~ act(f1,distrib)
| ~ aer(f1,u)
| ~ aee(f1,marketplace)
| ~ bearer(skf16(distrib,concert_ds,u,marketplace,f1,e1),philharmonie) ),
inference(obv,[status(thm),theory(equality)],[125]),
[iquote('0:Obv:125.3')] ).
cnf(127,plain,
( ~ activates(e1,f1)
| ~ tgt(f1,concert_ds)
| ~ act(f1,distrib)
| ~ aer(f1,u)
| ~ aee(f1,marketplace)
| ~ bearer(skf16(distrib,concert_ds,u,marketplace,f1,e1),philharmonie) ),
inference(ssi,[status(thm)],[126,5,8,7]),
[iquote('0:SSi:126.1,126.0,5.0,8.0,7.0,5.0,8.0,7.0')] ).
cnf(128,plain,
( ~ aer(f1,u)
| ~ bearer(skf16(distrib,concert_ds,u,marketplace,f1,e1),philharmonie) ),
inference(mrr,[status(thm)],[127,13,12,11,9]),
[iquote('0:MRR:127.0,127.1,127.2,127.4,13.0,12.0,11.0,9.0')] ).
cnf(129,plain,
( ~ proh(f1)
| ~ has_rem(f1)
| ~ aer(f1,philharmonie)
| ~ aee(f1,marketplace)
| ~ activates(e1,f1)
| ~ tgt(f1,concert_ds)
| ~ act(f1,distrib)
| ~ aer(f1,philharmonie) ),
inference(res,[status(thm),theory(equality)],[38,128]),
[iquote('0:Res:38.7,128.1')] ).
cnf(130,plain,
( ~ proh(f1)
| ~ has_rem(f1)
| ~ aee(f1,marketplace)
| ~ activates(e1,f1)
| ~ tgt(f1,concert_ds)
| ~ act(f1,distrib)
| ~ aer(f1,philharmonie) ),
inference(obv,[status(thm),theory(equality)],[129]),
[iquote('0:Obv:129.2')] ).
cnf(131,plain,
( ~ aee(f1,marketplace)
| ~ activates(e1,f1)
| ~ tgt(f1,concert_ds)
| ~ act(f1,distrib)
| ~ aer(f1,philharmonie) ),
inference(ssi,[status(thm)],[130,5,8,7]),
[iquote('0:SSi:130.1,130.0,5.0,8.0,7.0,5.0,8.0,7.0')] ).
cnf(132,plain,
$false,
inference(mrr,[status(thm)],[131,9,13,12,11,10]),
[iquote('0:MRR:131.0,131.1,131.2,131.3,131.4,9.0,13.0,12.0,11.0,10.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT113+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.03 % Command : run_spass %d %s
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 7 14:07:20 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.32/0.59
% 0.32/0.59 SPASS V 3.9
% 0.32/0.59 SPASS beiseite: Proof found.
% 0.32/0.59 % SZS status Theorem
% 0.32/0.59 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/0.59 SPASS derived 38 clauses, backtracked 0 clauses, performed 0 splits and kept 79 clauses.
% 0.32/0.59 SPASS allocated 98264 KBytes.
% 0.32/0.59 SPASS spent 0:00:00.22 on the problem.
% 0.32/0.59 0:00:00.06 for the input.
% 0.32/0.59 0:00:00.09 for the FLOTTER CNF translation.
% 0.32/0.59 0:00:00.00 for inferences.
% 0.32/0.59 0:00:00.00 for the backtracking.
% 0.32/0.59 0:00:00.02 for the reduction.
% 0.32/0.59
% 0.32/0.59
% 0.32/0.59 Here is a proof with depth 10, length 53 :
% 0.32/0.59 % SZS output start Refutation
% See solution above
% 0.32/0.60 Formulae used in the proof : action_distrib target_concert rule_f1 event_e1 proh_f1 rem_f1 aee_f1 aer_f1 act_f1 tgt_f1 act_e1_f1 ax_proh_relator_remedy marketplace_does ax_B1 ax_A1 ax_A2 ax_A3 ax_B3 ax_B2 conjecture
% 0.32/0.60
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