TSTP Solution File: PLA005-2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PLA005-2 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 0.46s
% 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 : 154 ( 0 equ; 128 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(d,b),on(c,a)),u),
file('PLA005-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ holds(u,v)
| ~ holds(w,v)
| holds(and__dfg(w,u),v) ),
file('PLA005-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ differ(u,table)
| ~ holds(empty,v)
| ~ holds(clear(u),v)
| holds(holding(u),do(pickup(u),v)) ),
file('PLA005-2.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('PLA005-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ differ(u,v)
| ~ holds(on(u,w),x)
| holds(on(u,w),do(pickup(v),x)) ),
file('PLA005-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ differ(u,v)
| ~ holds(clear(u),w)
| holds(clear(u),do(pickup(v),w)) ),
file('PLA005-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(empty,do(putdown(w,u),v)) ),
file('PLA005-2.p',unknown),
[] ).
cnf(8,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(on(w,u),do(putdown(w,u),v)) ),
file('PLA005-2.p',unknown),
[] ).
cnf(10,axiom,
( ~ holds(on(u,v),w)
| holds(on(u,v),do(putdown(x,y),w)) ),
file('PLA005-2.p',unknown),
[] ).
cnf(11,axiom,
( ~ differ(u,v)
| ~ holds(clear(u),w)
| holds(clear(u),do(putdown(x,v),w)) ),
file('PLA005-2.p',unknown),
[] ).
cnf(12,axiom,
( ~ differ(u,v)
| differ(v,u) ),
file('PLA005-2.p',unknown),
[] ).
cnf(13,axiom,
differ(a,b),
file('PLA005-2.p',unknown),
[] ).
cnf(14,axiom,
differ(a,c),
file('PLA005-2.p',unknown),
[] ).
cnf(15,axiom,
differ(a,d),
file('PLA005-2.p',unknown),
[] ).
cnf(17,axiom,
differ(b,c),
file('PLA005-2.p',unknown),
[] ).
cnf(18,axiom,
differ(b,d),
file('PLA005-2.p',unknown),
[] ).
cnf(20,axiom,
differ(c,d),
file('PLA005-2.p',unknown),
[] ).
cnf(21,axiom,
differ(c,table),
file('PLA005-2.p',unknown),
[] ).
cnf(22,axiom,
differ(d,table),
file('PLA005-2.p',unknown),
[] ).
cnf(25,axiom,
holds(on(c,d),s0),
file('PLA005-2.p',unknown),
[] ).
cnf(27,axiom,
holds(clear(a),s0),
file('PLA005-2.p',unknown),
[] ).
cnf(28,axiom,
holds(clear(b),s0),
file('PLA005-2.p',unknown),
[] ).
cnf(29,axiom,
holds(clear(c),s0),
file('PLA005-2.p',unknown),
[] ).
cnf(30,axiom,
holds(empty,s0),
file('PLA005-2.p',unknown),
[] ).
cnf(32,plain,
( ~ holds(on(c,a),u)
| ~ holds(on(d,b),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(58,plain,
( ~ holds(clear(b),u)
| ~ holds(holding(d),u)
| ~ holds(on(c,a),do(putdown(d,b),u)) ),
inference(res,[status(thm),theory(equality)],[8,32]),
[iquote('0:Res:8.2,32.1')] ).
cnf(63,plain,
( ~ holds(on(c,a),u)
| ~ holds(clear(b),u)
| ~ holds(holding(d),u) ),
inference(res,[status(thm),theory(equality)],[10,58]),
[iquote('0:Res:10.1,58.2')] ).
cnf(65,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)],[5,63]),
[iquote('0:Res:5.2,63.0')] ).
cnf(77,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)],[3,65]),
[iquote('0:Res:3.3,65.3')] ).
cnf(78,plain,
( ~ holds(empty,u)
| ~ holds(clear(d),u)
| ~ holds(on(c,a),u)
| ~ holds(clear(b),do(pickup(d),u)) ),
inference(mrr,[status(thm)],[77,22,20]),
[iquote('0:MRR:77.0,77.3,22.0,20.0')] ).
cnf(79,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)],[6,78]),
[iquote('0:Res:6.2,78.3')] ).
cnf(81,plain,
( ~ holds(clear(b),u)
| ~ holds(empty,u)
| ~ holds(clear(d),u)
| ~ holds(on(c,a),u) ),
inference(mrr,[status(thm)],[79,18]),
[iquote('0:MRR:79.0,18.0')] ).
cnf(85,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)],[8,81]),
[iquote('0:Res:8.2,81.3')] ).
cnf(86,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)],[85,7]),
[iquote('0:MRR:85.3,7.2')] ).
cnf(91,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)],[11,86]),
[iquote('0:Res:11.2,86.3')] ).
cnf(92,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)],[91,39]),
[iquote('0:MRR:91.0,39.0')] ).
cnf(95,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)],[11,92]),
[iquote('0:Res:11.2,92.3')] ).
cnf(96,plain,
( ~ holds(clear(b),u)
| ~ holds(clear(d),u)
| ~ holds(clear(a),u)
| ~ holds(holding(c),u) ),
inference(mrr,[status(thm)],[95,42]),
[iquote('0:MRR:95.0,42.0')] ).
cnf(97,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)],[3,96]),
[iquote('0:Res:3.3,96.3')] ).
cnf(98,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)],[97,21]),
[iquote('0:MRR:97.0,21.0')] ).
cnf(217,plain,
( ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(on(c,d),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(clear(b),do(pickup(c),u))
| ~ holds(clear(a),do(pickup(c),u)) ),
inference(res,[status(thm),theory(equality)],[4,98]),
[iquote('0:Res:4.3,98.3')] ).
cnf(219,plain,
( ~ holds(on(c,d),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(clear(b),do(pickup(c),u))
| ~ holds(clear(a),do(pickup(c),u)) ),
inference(obv,[status(thm),theory(equality)],[217]),
[iquote('0:Obv:217.1')] ).
cnf(248,plain,
( ~ differ(b,c)
| ~ holds(clear(b),u)
| ~ holds(on(c,d),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(clear(a),do(pickup(c),u)) ),
inference(res,[status(thm),theory(equality)],[6,219]),
[iquote('0:Res:6.2,219.3')] ).
cnf(250,plain,
( ~ holds(clear(b),u)
| ~ holds(on(c,d),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(clear(a),do(pickup(c),u)) ),
inference(mrr,[status(thm)],[248,17]),
[iquote('0:MRR:248.0,17.0')] ).
cnf(252,plain,
( ~ differ(a,c)
| ~ holds(clear(a),u)
| ~ holds(clear(b),u)
| ~ holds(on(c,d),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u) ),
inference(res,[status(thm),theory(equality)],[6,250]),
[iquote('0:Res:6.2,250.4')] ).
cnf(254,plain,
( ~ holds(clear(a),u)
| ~ holds(clear(b),u)
| ~ holds(on(c,d),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u) ),
inference(mrr,[status(thm)],[252,14]),
[iquote('0:MRR:252.0,14.0')] ).
cnf(256,plain,
( ~ holds(clear(a),s0)
| ~ holds(clear(b),s0)
| ~ holds(empty,s0)
| ~ holds(clear(c),s0) ),
inference(res,[status(thm),theory(equality)],[25,254]),
[iquote('0:Res:25.0,254.2')] ).
cnf(260,plain,
$false,
inference(mrr,[status(thm)],[256,27,28,30,29]),
[iquote('0:MRR:256.0,256.1,256.2,256.3,27.0,28.0,30.0,29.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PLA005-2 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue May 31 18:28:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46
% 0.20/0.46 SPASS V 3.9
% 0.20/0.46 SPASS beiseite: Proof found.
% 0.20/0.46 % SZS status Theorem
% 0.20/0.46 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 SPASS derived 169 clauses, backtracked 0 clauses, performed 0 splits and kept 172 clauses.
% 0.20/0.46 SPASS allocated 63411 KBytes.
% 0.20/0.46 SPASS spent 0:00:00.11 on the problem.
% 0.20/0.46 0:00:00.04 for the input.
% 0.20/0.46 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.46 0:00:00.01 for inferences.
% 0.20/0.46 0:00:00.00 for the backtracking.
% 0.20/0.46 0:00:00.04 for the reduction.
% 0.20/0.46
% 0.20/0.46
% 0.20/0.46 Here is a proof with depth 14, length 50 :
% 0.20/0.46 % SZS output start Refutation
% See solution above
% 0.20/0.46 Formulae used in the proof : prove_DB_AC 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
% 0.20/0.46
%------------------------------------------------------------------------------