TSTP Solution File: PLA005-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PLA005-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 17:32:17 EDT 2022
% Result : Unsatisfiable 0.20s 0.44s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 24
% Syntax : Number of clauses : 50 ( 17 unt; 0 nHn; 50 RR)
% Number of literals : 153 ( 0 equ; 127 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ holds(and__dfg(on(c,a),on(d,b)),u),
file('PLA005-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ holds(u,v)
| ~ holds(w,v)
| holds(and__dfg(w,u),v) ),
file('PLA005-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ differ(u,table)
| ~ holds(empty,v)
| ~ holds(clear(u),v)
| holds(holding(u),do(pickup(u),v)) ),
file('PLA005-1.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('PLA005-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ differ(u,v)
| ~ holds(on(u,w),x)
| holds(on(u,w),do(pickup(v),x)) ),
file('PLA005-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ differ(u,v)
| ~ holds(clear(u),w)
| holds(clear(u),do(pickup(v),w)) ),
file('PLA005-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(empty,do(putdown(w,u),v)) ),
file('PLA005-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(on(w,u),do(putdown(w,u),v)) ),
file('PLA005-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ holds(on(u,v),w)
| holds(on(u,v),do(putdown(x,y),w)) ),
file('PLA005-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ differ(u,v)
| ~ holds(clear(u),w)
| holds(clear(u),do(putdown(x,v),w)) ),
file('PLA005-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ differ(u,v)
| differ(v,u) ),
file('PLA005-1.p',unknown),
[] ).
cnf(13,axiom,
differ(a,b),
file('PLA005-1.p',unknown),
[] ).
cnf(14,axiom,
differ(a,c),
file('PLA005-1.p',unknown),
[] ).
cnf(15,axiom,
differ(a,d),
file('PLA005-1.p',unknown),
[] ).
cnf(17,axiom,
differ(b,c),
file('PLA005-1.p',unknown),
[] ).
cnf(18,axiom,
differ(b,d),
file('PLA005-1.p',unknown),
[] ).
cnf(20,axiom,
differ(c,d),
file('PLA005-1.p',unknown),
[] ).
cnf(21,axiom,
differ(c,table),
file('PLA005-1.p',unknown),
[] ).
cnf(22,axiom,
differ(d,table),
file('PLA005-1.p',unknown),
[] ).
cnf(25,axiom,
holds(on(c,d),s0),
file('PLA005-1.p',unknown),
[] ).
cnf(27,axiom,
holds(clear(a),s0),
file('PLA005-1.p',unknown),
[] ).
cnf(28,axiom,
holds(clear(b),s0),
file('PLA005-1.p',unknown),
[] ).
cnf(29,axiom,
holds(clear(c),s0),
file('PLA005-1.p',unknown),
[] ).
cnf(30,axiom,
holds(empty,s0),
file('PLA005-1.p',unknown),
[] ).
cnf(32,plain,
( ~ holds(on(d,b),u)
| ~ holds(on(c,a),u) ),
inference(res,[status(thm),theory(equality)],[2,1]),
[iquote('0:Res:2.2,1.0')] ).
cnf(39,plain,
differ(d,a),
inference(res,[status(thm),theory(equality)],[15,12]),
[iquote('0:Res:15.0,12.0')] ).
cnf(42,plain,
differ(b,a),
inference(res,[status(thm),theory(equality)],[13,12]),
[iquote('0:Res:13.0,12.0')] ).
cnf(54,plain,
( ~ holds(on(c,a),u)
| ~ holds(on(d,b),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(b),u)
| ~ holds(holding(d),u)
| ~ holds(on(c,a),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,a),v)
| ~ holds(clear(b),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(67,plain,
( ~ differ(d,table)
| ~ holds(empty,u)
| ~ holds(clear(d),u)
| ~ differ(c,d)
| ~ holds(on(c,a),u)
| ~ holds(clear(b),do(pickup(d),u)) ),
inference(res,[status(thm),theory(equality)],[3,61]),
[iquote('0:Res:3.3,61.3')] ).
cnf(68,plain,
( ~ holds(empty,u)
| ~ holds(clear(d),u)
| ~ holds(on(c,a),u)
| ~ holds(clear(b),do(pickup(d),u)) ),
inference(mrr,[status(thm)],[67,22,20]),
[iquote('0:MRR:67.0,67.3,22.0,20.0')] ).
cnf(69,plain,
( ~ differ(b,d)
| ~ holds(clear(b),u)
| ~ holds(empty,u)
| ~ holds(clear(d),u)
| ~ holds(on(c,a),u) ),
inference(res,[status(thm),theory(equality)],[6,68]),
[iquote('0:Res:6.2,68.3')] ).
cnf(71,plain,
( ~ holds(clear(b),u)
| ~ holds(empty,u)
| ~ holds(clear(d),u)
| ~ holds(on(c,a),u) ),
inference(mrr,[status(thm)],[69,18]),
[iquote('0:MRR:69.0,18.0')] ).
cnf(75,plain,
( ~ holds(clear(a),u)
| ~ holds(holding(c),u)
| ~ holds(clear(b),do(putdown(c,a),u))
| ~ holds(empty,do(putdown(c,a),u))
| ~ holds(clear(d),do(putdown(c,a),u)) ),
inference(res,[status(thm),theory(equality)],[8,71]),
[iquote('0:Res:8.2,71.3')] ).
cnf(76,plain,
( ~ holds(clear(a),u)
| ~ holds(holding(c),u)
| ~ holds(clear(b),do(putdown(c,a),u))
| ~ holds(clear(d),do(putdown(c,a),u)) ),
inference(mrr,[status(thm)],[75,7]),
[iquote('0:MRR:75.3,7.2')] ).
cnf(87,plain,
( ~ differ(d,a)
| ~ holds(clear(d),u)
| ~ holds(clear(a),u)
| ~ holds(holding(c),u)
| ~ holds(clear(b),do(putdown(c,a),u)) ),
inference(res,[status(thm),theory(equality)],[11,76]),
[iquote('0:Res:11.2,76.3')] ).
cnf(88,plain,
( ~ holds(clear(d),u)
| ~ holds(clear(a),u)
| ~ holds(holding(c),u)
| ~ holds(clear(b),do(putdown(c,a),u)) ),
inference(mrr,[status(thm)],[87,39]),
[iquote('0:MRR:87.0,39.0')] ).
cnf(89,plain,
( ~ differ(b,a)
| ~ holds(clear(b),u)
| ~ holds(clear(d),u)
| ~ holds(clear(a),u)
| ~ holds(holding(c),u) ),
inference(res,[status(thm),theory(equality)],[11,88]),
[iquote('0:Res:11.2,88.3')] ).
cnf(90,plain,
( ~ holds(clear(b),u)
| ~ holds(clear(d),u)
| ~ holds(clear(a),u)
| ~ holds(holding(c),u) ),
inference(mrr,[status(thm)],[89,42]),
[iquote('0:MRR:89.0,42.0')] ).
cnf(93,plain,
( ~ differ(c,table)
| ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(clear(b),do(pickup(c),u))
| ~ holds(clear(d),do(pickup(c),u))
| ~ holds(clear(a),do(pickup(c),u)) ),
inference(res,[status(thm),theory(equality)],[3,90]),
[iquote('0:Res:3.3,90.3')] ).
cnf(94,plain,
( ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(clear(b),do(pickup(c),u))
| ~ holds(clear(d),do(pickup(c),u))
| ~ holds(clear(a),do(pickup(c),u)) ),
inference(mrr,[status(thm)],[93,21]),
[iquote('0:MRR:93.0,21.0')] ).
cnf(125,plain,
( ~ differ(a,c)
| ~ holds(clear(a),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(clear(b),do(pickup(c),u))
| ~ holds(clear(d),do(pickup(c),u)) ),
inference(res,[status(thm),theory(equality)],[6,94]),
[iquote('0:Res:6.2,94.4')] ).
cnf(127,plain,
( ~ holds(clear(a),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(clear(b),do(pickup(c),u))
| ~ holds(clear(d),do(pickup(c),u)) ),
inference(mrr,[status(thm)],[125,14]),
[iquote('0:MRR:125.0,14.0')] ).
cnf(130,plain,
( ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(on(c,d),u)
| ~ holds(clear(a),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(clear(b),do(pickup(c),u)) ),
inference(res,[status(thm),theory(equality)],[4,127]),
[iquote('0:Res:4.3,127.4')] ).
cnf(132,plain,
( ~ holds(on(c,d),u)
| ~ holds(clear(a),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(clear(b),do(pickup(c),u)) ),
inference(obv,[status(thm),theory(equality)],[130]),
[iquote('0:Obv:130.1')] ).
cnf(155,plain,
( ~ differ(b,c)
| ~ holds(clear(b),u)
| ~ holds(on(c,d),u)
| ~ holds(clear(a),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u) ),
inference(res,[status(thm),theory(equality)],[6,132]),
[iquote('0:Res:6.2,132.4')] ).
cnf(157,plain,
( ~ holds(clear(b),u)
| ~ holds(on(c,d),u)
| ~ holds(clear(a),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u) ),
inference(mrr,[status(thm)],[155,17]),
[iquote('0:MRR:155.0,17.0')] ).
cnf(159,plain,
( ~ holds(clear(b),s0)
| ~ holds(clear(a),s0)
| ~ holds(empty,s0)
| ~ holds(clear(c),s0) ),
inference(res,[status(thm),theory(equality)],[25,157]),
[iquote('0:Res:25.0,157.1')] ).
cnf(163,plain,
$false,
inference(mrr,[status(thm)],[159,28,27,30,29]),
[iquote('0:MRR:159.0,159.1,159.2,159.3,28.0,27.0,30.0,29.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PLA005-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue May 31 23:53:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.44
% 0.20/0.44 SPASS V 3.9
% 0.20/0.44 SPASS beiseite: Proof found.
% 0.20/0.44 % SZS status Theorem
% 0.20/0.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.44 SPASS derived 101 clauses, backtracked 0 clauses, performed 0 splits and kept 114 clauses.
% 0.20/0.44 SPASS allocated 63307 KBytes.
% 0.20/0.44 SPASS spent 0:00:00.08 on the problem.
% 0.20/0.44 0:00:00.04 for the input.
% 0.20/0.44 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.44 0:00:00.00 for inferences.
% 0.20/0.44 0:00:00.00 for the backtracking.
% 0.20/0.44 0:00:00.02 for the reduction.
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 Here is a proof with depth 14, length 50 :
% 0.20/0.44 % SZS output start Refutation
% See solution above
% 0.20/0.44 Formulae used in the proof : prove_CA_DB and_definition pickup_1 pickup_2 pickup_3 pickup_4 putdown_1 putdown_2 putdown_4 putdown_5 symmetry_of_differ differ_a_b differ_a_c differ_a_d differ_b_c differ_b_d differ_c_d differ_c_table differ_d_table initial_state3 initial_state5 initial_state6 initial_state7 initial_state8
% 0.20/0.44
%------------------------------------------------------------------------------