TSTP Solution File: PLA011-2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PLA011-2 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 : Mon Jul 18 17:32:18 EDT 2022
% Result : Unsatisfiable 0.18s 0.41s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 21
% Syntax : Number of clauses : 42 ( 12 unt; 0 nHn; 42 RR)
% Number of literals : 121 ( 0 equ; 99 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 11 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ holds(and__dfg(on(c,b),on(d,c)),u),
file('PLA011-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ holds(u,v)
| ~ holds(w,v)
| holds(and__dfg(w,u),v) ),
file('PLA011-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ differ(u,table)
| ~ holds(empty,v)
| ~ holds(clear(u),v)
| holds(holding(u),do(pickup(u),v)) ),
file('PLA011-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ holds(empty,u)
| ~ holds(clear(v),u)
| ~ holds(on(v,w),u)
| holds(clear(w),do(pickup(v),u)) ),
file('PLA011-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ differ(u,v)
| ~ holds(on(u,w),x)
| holds(on(u,w),do(pickup(v),x)) ),
file('PLA011-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ differ(u,v)
| ~ holds(clear(u),w)
| holds(clear(u),do(pickup(v),w)) ),
file('PLA011-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(empty,do(putdown(w,u),v)) ),
file('PLA011-2.p',unknown),
[] ).
cnf(8,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(on(w,u),do(putdown(w,u),v)) ),
file('PLA011-2.p',unknown),
[] ).
cnf(9,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(clear(w),do(putdown(w,u),v)) ),
file('PLA011-2.p',unknown),
[] ).
cnf(10,axiom,
( ~ holds(on(u,v),w)
| holds(on(u,v),do(putdown(x,y),w)) ),
file('PLA011-2.p',unknown),
[] ).
cnf(11,axiom,
( ~ differ(u,v)
| ~ holds(clear(u),w)
| holds(clear(u),do(putdown(x,v),w)) ),
file('PLA011-2.p',unknown),
[] ).
cnf(12,axiom,
( ~ differ(u,v)
| differ(v,u) ),
file('PLA011-2.p',unknown),
[] ).
cnf(17,axiom,
differ(b,c),
file('PLA011-2.p',unknown),
[] ).
cnf(18,axiom,
differ(b,d),
file('PLA011-2.p',unknown),
[] ).
cnf(20,axiom,
differ(c,d),
file('PLA011-2.p',unknown),
[] ).
cnf(21,axiom,
differ(c,table),
file('PLA011-2.p',unknown),
[] ).
cnf(22,axiom,
differ(d,table),
file('PLA011-2.p',unknown),
[] ).
cnf(25,axiom,
holds(on(c,d),s0),
file('PLA011-2.p',unknown),
[] ).
cnf(28,axiom,
holds(clear(b),s0),
file('PLA011-2.p',unknown),
[] ).
cnf(29,axiom,
holds(clear(c),s0),
file('PLA011-2.p',unknown),
[] ).
cnf(30,axiom,
holds(empty,s0),
file('PLA011-2.p',unknown),
[] ).
cnf(32,plain,
( ~ holds(on(d,c),u)
| ~ holds(on(c,b),u) ),
inference(res,[status(thm),theory(equality)],[2,1]),
[iquote('0:Res:2.2,1.0')] ).
cnf(38,plain,
differ(d,b),
inference(res,[status(thm),theory(equality)],[18,12]),
[iquote('0:Res:18.0,12.0')] ).
cnf(54,plain,
( ~ holds(on(c,b),u)
| ~ holds(on(d,c),do(putdown(v,w),u)) ),
inference(res,[status(thm),theory(equality)],[10,32]),
[iquote('0:Res:10.1,32.1')] ).
cnf(59,plain,
( ~ holds(clear(c),u)
| ~ holds(holding(d),u)
| ~ holds(on(c,b),u) ),
inference(res,[status(thm),theory(equality)],[8,54]),
[iquote('0:Res:8.2,54.1')] ).
cnf(61,plain,
( ~ differ(c,u)
| ~ holds(on(c,b),v)
| ~ holds(clear(c),do(pickup(u),v))
| ~ holds(holding(d),do(pickup(u),v)) ),
inference(res,[status(thm),theory(equality)],[5,59]),
[iquote('0:Res:5.2,59.2')] ).
cnf(68,plain,
( ~ differ(d,table)
| ~ holds(empty,u)
| ~ holds(clear(d),u)
| ~ differ(c,d)
| ~ holds(on(c,b),u)
| ~ holds(clear(c),do(pickup(d),u)) ),
inference(res,[status(thm),theory(equality)],[3,61]),
[iquote('0:Res:3.3,61.3')] ).
cnf(69,plain,
( ~ holds(empty,u)
| ~ holds(clear(d),u)
| ~ holds(on(c,b),u)
| ~ holds(clear(c),do(pickup(d),u)) ),
inference(mrr,[status(thm)],[68,22,20]),
[iquote('0:MRR:68.0,68.3,22.0,20.0')] ).
cnf(70,plain,
( ~ differ(c,d)
| ~ holds(clear(c),u)
| ~ holds(empty,u)
| ~ holds(clear(d),u)
| ~ holds(on(c,b),u) ),
inference(res,[status(thm),theory(equality)],[6,69]),
[iquote('0:Res:6.2,69.3')] ).
cnf(72,plain,
( ~ holds(clear(c),u)
| ~ holds(empty,u)
| ~ holds(clear(d),u)
| ~ holds(on(c,b),u) ),
inference(mrr,[status(thm)],[70,20]),
[iquote('0:MRR:70.0,20.0')] ).
cnf(76,plain,
( ~ holds(clear(b),u)
| ~ holds(holding(c),u)
| ~ holds(clear(c),do(putdown(c,b),u))
| ~ holds(empty,do(putdown(c,b),u))
| ~ holds(clear(d),do(putdown(c,b),u)) ),
inference(res,[status(thm),theory(equality)],[8,72]),
[iquote('0:Res:8.2,72.3')] ).
cnf(77,plain,
( ~ holds(clear(b),u)
| ~ holds(holding(c),u)
| ~ holds(clear(d),do(putdown(c,b),u)) ),
inference(mrr,[status(thm)],[76,9,7]),
[iquote('0:MRR:76.2,76.3,9.2,7.2')] ).
cnf(78,plain,
( ~ differ(d,b)
| ~ holds(clear(d),u)
| ~ holds(clear(b),u)
| ~ holds(holding(c),u) ),
inference(res,[status(thm),theory(equality)],[11,77]),
[iquote('0:Res:11.2,77.2')] ).
cnf(79,plain,
( ~ holds(clear(d),u)
| ~ holds(clear(b),u)
| ~ holds(holding(c),u) ),
inference(mrr,[status(thm)],[78,38]),
[iquote('0:MRR:78.0,38.0')] ).
cnf(82,plain,
( ~ differ(c,table)
| ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(clear(d),do(pickup(c),u))
| ~ holds(clear(b),do(pickup(c),u)) ),
inference(res,[status(thm),theory(equality)],[3,79]),
[iquote('0:Res:3.3,79.2')] ).
cnf(83,plain,
( ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(clear(d),do(pickup(c),u))
| ~ holds(clear(b),do(pickup(c),u)) ),
inference(mrr,[status(thm)],[82,21]),
[iquote('0:MRR:82.0,21.0')] ).
cnf(92,plain,
( ~ differ(b,c)
| ~ holds(clear(b),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(clear(d),do(pickup(c),u)) ),
inference(res,[status(thm),theory(equality)],[6,83]),
[iquote('0:Res:6.2,83.3')] ).
cnf(94,plain,
( ~ holds(clear(b),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(clear(d),do(pickup(c),u)) ),
inference(mrr,[status(thm)],[92,17]),
[iquote('0:MRR:92.0,17.0')] ).
cnf(97,plain,
( ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(on(c,d),u)
| ~ holds(clear(b),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u) ),
inference(res,[status(thm),theory(equality)],[4,94]),
[iquote('0:Res:4.3,94.3')] ).
cnf(99,plain,
( ~ holds(on(c,d),u)
| ~ holds(clear(b),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u) ),
inference(obv,[status(thm),theory(equality)],[97]),
[iquote('0:Obv:97.1')] ).
cnf(107,plain,
( ~ holds(clear(b),s0)
| ~ holds(empty,s0)
| ~ holds(clear(c),s0) ),
inference(res,[status(thm),theory(equality)],[25,99]),
[iquote('0:Res:25.0,99.0')] ).
cnf(111,plain,
$false,
inference(mrr,[status(thm)],[107,28,30,29]),
[iquote('0:MRR:107.0,107.1,107.2,28.0,30.0,29.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PLA011-2 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue May 31 20:58:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.41
% 0.18/0.41 SPASS V 3.9
% 0.18/0.41 SPASS beiseite: Proof found.
% 0.18/0.41 % SZS status Theorem
% 0.18/0.41 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.41 SPASS derived 62 clauses, backtracked 0 clauses, performed 0 splits and kept 78 clauses.
% 0.18/0.41 SPASS allocated 63224 KBytes.
% 0.18/0.41 SPASS spent 0:00:00.07 on the problem.
% 0.18/0.41 0:00:00.03 for the input.
% 0.18/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.41 0:00:00.00 for inferences.
% 0.18/0.41 0:00:00.00 for the backtracking.
% 0.18/0.41 0:00:00.01 for the reduction.
% 0.18/0.41
% 0.18/0.41
% 0.18/0.41 Here is a proof with depth 12, length 42 :
% 0.18/0.41 % SZS output start Refutation
% See solution above
% 0.18/0.41 Formulae used in the proof : prove_DCB and_definition pickup_1 pickup_2 pickup_3 pickup_4 putdown_1 putdown_2 putdown_3 putdown_4 putdown_5 symmetry_of_differ differ_b_c differ_b_d differ_c_d differ_c_table differ_d_table initial_state3 initial_state6 initial_state7 initial_state8
% 0.18/0.41
%------------------------------------------------------------------------------