TSTP Solution File: MGT038-10 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT038-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:26:22 EDT 2022
% Result : Satisfiable 0.19s 0.43s
% Output : Saturation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 159)
% Comments :
%------------------------------------------------------------------------------
cnf(165,plain,
equal(ifeq(in_environment(u,appear(efficient_producers,sk3)),true__dfg,ifeq(environment(u),true__dfg,ifeq(stable(u),true__dfg,in_environment(u,sk1(sk2(sk3),first_movers)),true__dfg),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,159]),
[iquote('0:Rew:2.0,159.0')] ).
cnf(125,plain,
equal(ifeq(in_environment(u,appear(first_movers,sk3)),true__dfg,ifeq(environment(u),true__dfg,ifeq(stable(u),true__dfg,in_environment(u,appear(efficient_producers,e)),true__dfg),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,116]),
[iquote('0:Rew:2.0,116.0')] ).
cnf(124,plain,
equal(ifeq(in_environment(u,sk2(sk3)),true__dfg,ifeq(environment(u),true__dfg,ifeq(stable(u),true__dfg,in_environment(u,sk1(sk2(sk3),first_movers)),true__dfg),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,118]),
[iquote('0:Rew:2.0,118.0')] ).
cnf(156,plain,
equal(ifeq(greater(u,appear(efficient_producers,sk3)),true__dfg,ifeq(greater(sk1(sk2(sk3),first_movers),u),true__dfg,true__dfg,true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[155,8]),
[iquote('0:SpR:155.0,8.0')] ).
cnf(93,plain,
equal(ifeq(greater(u,sk2(sk3)),true__dfg,ifeq(greater(sk1(sk2(sk3),first_movers),u),true__dfg,true__dfg,true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[84,8]),
[iquote('0:SpR:84.0,8.0')] ).
cnf(123,plain,
equal(ifeq(in_environment(u,appear(efficient_producers,sk3)),true__dfg,ifeq(environment(u),true__dfg,ifeq(stable(u),true__dfg,in_environment(u,sk2(sk3)),true__dfg),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,117]),
[iquote('0:Rew:2.0,117.0')] ).
cnf(140,plain,
equal(ifeq(greater(appear(efficient_producers,e),u),true__dfg,ifeq(in_environment(sk3,u),true__dfg,true__dfg,true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,134,12,13]),
[iquote('0:Rew:2.0,134.0,12.0,134.0,2.0,134.0,13.0,134.0')] ).
cnf(227,plain,
equal(ifeq(greater(appear(efficient_producers,sk3),sk2(sk3)),true__dfg,true__dfg,true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[84,164]),
[iquote('0:SpR:84.0,164.0')] ).
cnf(164,plain,
equal(ifeq(greater(appear(efficient_producers,sk3),u),true__dfg,greater(sk1(sk2(sk3),first_movers),u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,157]),
[iquote('0:Rew:2.0,157.0')] ).
cnf(163,plain,
equal(ifeq(greater(u,sk1(sk2(sk3),first_movers)),true__dfg,greater(u,appear(efficient_producers,sk3)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,158]),
[iquote('0:Rew:2.0,158.0')] ).
cnf(57,plain,
equal(ifeq(greater(u,appear(first_movers,sk3)),true__dfg,ifeq(greater(appear(efficient_producers,e),u),true__dfg,true__dfg,true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[22,8]),
[iquote('0:SpR:22.0,8.0')] ).
cnf(180,plain,
equal(ifeq(in_environment(sk3,appear(efficient_producers,sk3)),true__dfg,in_environment(sk3,sk1(sk2(sk3),first_movers)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,174]),
[iquote('0:Rew:2.0,174.0')] ).
cnf(208,plain,
equal(ifeq(greater(sk1(sk2(sk3),first_movers),sk1(sk2(sk3),first_movers)),true__dfg,true__dfg,true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[84,100]),
[iquote('0:SpR:84.0,100.0')] ).
cnf(100,plain,
equal(ifeq(greater(u,sk1(sk2(sk3),first_movers)),true__dfg,greater(u,sk2(sk3)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,95]),
[iquote('0:Rew:2.0,95.0')] ).
cnf(202,plain,
equal(ifeq(greater(sk2(sk3),sk1(sk2(sk3),first_movers)),true__dfg,true__dfg,true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,198]),
[iquote('0:Rew:2.0,198.0')] ).
cnf(85,plain,
equal(ifeq(greater(u,appear(efficient_producers,sk3)),true__dfg,ifeq(greater(sk2(sk3),u),true__dfg,true__dfg,true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[78,8]),
[iquote('0:SpR:78.0,8.0')] ).
cnf(99,plain,
equal(ifeq(greater(sk2(sk3),u),true__dfg,greater(sk1(sk2(sk3),first_movers),u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,94]),
[iquote('0:Rew:2.0,94.0')] ).
cnf(179,plain,
equal(ifeq(in_environment(sk3,sk2(sk3)),true__dfg,in_environment(sk3,sk1(sk2(sk3),first_movers)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,173]),
[iquote('0:Rew:2.0,173.0')] ).
cnf(177,plain,
equal(ifeq(in_environment(sk3,appear(efficient_producers,sk3)),true__dfg,in_environment(sk3,sk2(sk3)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,172]),
[iquote('0:Rew:2.0,172.0')] ).
cnf(152,plain,
equal(ifeq(greater(sk2(sk3),sk2(sk3)),true__dfg,true__dfg,true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[78,92]),
[iquote('0:SpR:78.0,92.0')] ).
cnf(119,plain,
equal(ifeq(greater(u,v),true__dfg,ifeq(in_environment(sk3,v),true__dfg,in_environment(sk3,u),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,113,13]),
[iquote('0:Rew:2.0,113.0,2.0,113.0,13.0,113.0')] ).
cnf(155,plain,
equal(greater(sk1(sk2(sk3),first_movers),appear(efficient_producers,sk3)),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,153]),
[iquote('0:Rew:2.0,153.0')] ).
cnf(92,plain,
equal(ifeq(greater(u,sk2(sk3)),true__dfg,greater(u,appear(efficient_producers,sk3)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,87]),
[iquote('0:Rew:2.0,87.0')] ).
cnf(139,plain,
equal(ifeq(greater(u,appear(efficient_producers,e)),true__dfg,in_environment(sk3,u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,135,12,13]),
[iquote('0:Rew:2.0,135.0,2.0,135.0,12.0,135.0,2.0,135.0,13.0,135.0')] ).
cnf(145,plain,
equal(ifeq(greater(appear(first_movers,sk3),appear(efficient_producers,e)),true__dfg,true__dfg,true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,143]),
[iquote('0:Rew:2.0,143.0')] ).
cnf(114,plain,
equal(ifeq(greater(appear(first_movers,u),v),true__dfg,ifeq(in_environment(u,v),true__dfg,true__dfg,true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[4,7]),
[iquote('0:SpR:4.0,7.0')] ).
cnf(131,plain,
~ equal(tuple(cardinality_at_time(first_movers,to),true__dfg,true__dfg),tuple(zero,true__dfg,true__dfg)),
inference(rew,[status(thm),theory(equality)],[130,72]),
[iquote('0:Rew:130.0,72.0')] ).
cnf(130,plain,
equal(in_environment(sk3,appear(efficient_producers,e)),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,129]),
[iquote('0:Rew:2.0,129.0')] ).
cnf(121,plain,
equal(ifeq(greater(u,appear(first_movers,sk3)),true__dfg,in_environment(sk3,u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,115,12,13]),
[iquote('0:Rew:2.0,115.0,2.0,115.0,12.0,115.0,2.0,115.0,13.0,115.0')] ).
cnf(109,plain,
equal(ifeq(greater(appear(efficient_producers,sk3),appear(efficient_producers,sk3)),true__dfg,true__dfg,true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[78,91]),
[iquote('0:SpR:78.0,91.0')] ).
cnf(7,axiom,
equal(ifeq(greater(u,v),true__dfg,ifeq(in_environment(w,v),true__dfg,ifeq(environment(w),true__dfg,ifeq(stable(w),true__dfg,in_environment(w,u),true__dfg),true__dfg),true__dfg),true__dfg),true__dfg),
file('MGT038-10.p',unknown),
[] ).
cnf(91,plain,
equal(ifeq(greater(appear(efficient_producers,sk3),u),true__dfg,greater(sk2(sk3),u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,86]),
[iquote('0:Rew:2.0,86.0')] ).
cnf(83,plain,
equal(ifeq(contracts_from(u,first_movers),true__dfg,greater(sk1(u,first_movers),u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,82]),
[iquote('0:Rew:2.0,82.0')] ).
cnf(84,plain,
equal(greater(sk1(sk2(sk3),first_movers),sk2(sk3)),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,81,3]),
[iquote('0:Rew:2.0,81.0,3.0,81.0,2.0,81.0')] ).
cnf(78,plain,
equal(greater(sk2(sk3),appear(efficient_producers,sk3)),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,76,12]),
[iquote('0:Rew:2.0,76.0,12.0,76.0,2.0,76.0')] ).
cnf(5,axiom,
equal(ifeq(finite_set(u),true__dfg,ifeq(contracts_from(v,u),true__dfg,greater(sk1(v,u),v),true__dfg),true__dfg),true__dfg),
file('MGT038-10.p',unknown),
[] ).
cnf(9,axiom,
equal(ifeq(environment(u),true__dfg,ifeq(stable(u),true__dfg,greater(sk2(u),appear(efficient_producers,u)),true__dfg),true__dfg),true__dfg),
file('MGT038-10.p',unknown),
[] ).
cnf(73,plain,
~ equal(tuple(cardinality_at_time(first_movers,to),true__dfg,greater(appear(first_movers,sk3),appear(first_movers,sk3))),tuple(zero,true__dfg,true__dfg)),
inference(spl,[status(thm),theory(equality)],[54,14]),
[iquote('0:SpL:54.0,14.0')] ).
cnf(70,plain,
equal(ifeq(greater(appear(efficient_producers,e),appear(efficient_producers,e)),true__dfg,true__dfg,true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[22,61]),
[iquote('0:SpR:22.0,61.0')] ).
cnf(14,axiom,
~ equal(tuple(cardinality_at_time(first_movers,to),in_environment(sk3,u),greater(u,appear(first_movers,sk3))),tuple(zero,true__dfg,true__dfg)),
file('MGT038-10.p',unknown),
[] ).
cnf(61,plain,
equal(ifeq(greater(u,appear(efficient_producers,e)),true__dfg,greater(u,appear(first_movers,sk3)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,59]),
[iquote('0:Rew:2.0,59.0')] ).
cnf(66,plain,
equal(ifeq(greater(appear(first_movers,sk3),appear(first_movers,sk3)),true__dfg,true__dfg,true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[22,60]),
[iquote('0:SpR:22.0,60.0')] ).
cnf(60,plain,
equal(ifeq(greater(appear(first_movers,sk3),u),true__dfg,greater(appear(efficient_producers,e),u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,58]),
[iquote('0:Rew:2.0,58.0')] ).
cnf(54,plain,
equal(in_environment(sk3,appear(first_movers,sk3)),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,52,12]),
[iquote('0:Rew:2.0,52.0,12.0,52.0,2.0,52.0')] ).
cnf(8,axiom,
equal(ifeq(greater(u,v),true__dfg,ifeq(greater(w,u),true__dfg,greater(w,v),true__dfg),true__dfg),true__dfg),
file('MGT038-10.p',unknown),
[] ).
cnf(4,axiom,
equal(ifeq(environment(u),true__dfg,ifeq(stable(u),true__dfg,in_environment(u,appear(first_movers,u)),true__dfg),true__dfg),true__dfg),
file('MGT038-10.p',unknown),
[] ).
cnf(38,plain,
equal(ifeq2(finite_set(u),true__dfg,ifeq2(contracts_from(v,u),true__dfg,zero,zero),zero),zero),
inference(rew,[status(thm),theory(equality)],[37,6]),
[iquote('0:Rew:37.0,6.0')] ).
cnf(40,plain,
equal(ifeq2(contracts_from(u,first_movers),true__dfg,zero,zero),zero),
inference(rew,[status(thm),theory(equality)],[37,39]),
[iquote('0:Rew:37.0,39.0')] ).
cnf(37,plain,
equal(cardinality_at_time(s,t2),zero),
inference(rew,[status(thm),theory(equality)],[1,35,3]),
[iquote('0:Rew:1.0,35.0,3.0,35.0,1.0,35.0')] ).
cnf(29,plain,
equal(contracts_from(sk2(sk3),first_movers),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,27,12]),
[iquote('0:Rew:2.0,27.0,12.0,27.0,2.0,27.0')] ).
cnf(10,axiom,
equal(ifeq(environment(u),true__dfg,ifeq(stable(u),true__dfg,contracts_from(sk2(u),first_movers),true__dfg),true__dfg),true__dfg),
file('MGT038-10.p',unknown),
[] ).
cnf(22,plain,
equal(greater(appear(efficient_producers,e),appear(first_movers,sk3)),true__dfg),
inference(rew,[status(thm),theory(equality)],[2,21]),
[iquote('0:Rew:2.0,21.0')] ).
cnf(11,axiom,
equal(ifeq(environment(u),true__dfg,greater(appear(efficient_producers,e),appear(first_movers,u)),true__dfg),true__dfg),
file('MGT038-10.p',unknown),
[] ).
cnf(1,axiom,
equal(ifeq2(u,u,v,w),v),
file('MGT038-10.p',unknown),
[] ).
cnf(2,axiom,
equal(ifeq(u,u,v,w),v),
file('MGT038-10.p',unknown),
[] ).
cnf(3,axiom,
equal(finite_set(first_movers),true__dfg),
file('MGT038-10.p',unknown),
[] ).
cnf(12,axiom,
equal(environment(sk3),true__dfg),
file('MGT038-10.p',unknown),
[] ).
cnf(13,axiom,
equal(stable(sk3),true__dfg),
file('MGT038-10.p',unknown),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT038-10 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 08:21:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.43
% 0.19/0.43 SPASS V 3.9
% 0.19/0.43 SPASS beiseite: Completion found.
% 0.19/0.43 % SZS status CounterSatisfiable
% 0.19/0.43 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43 SPASS derived 177 clauses, backtracked 0 clauses, performed 0 splits and kept 60 clauses.
% 0.19/0.43 SPASS allocated 63430 KBytes.
% 0.19/0.43 SPASS spent 0:00:00.09 on the problem.
% 0.19/0.43 0:00:00.03 for the input.
% 0.19/0.43 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.43 0:00:00.01 for inferences.
% 0.19/0.43 0:00:00.00 for the backtracking.
% 0.19/0.43 0:00:00.02 for the reduction.
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 The saturated set of worked-off clauses is :
% 0.19/0.43 % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------