TSTP Solution File: PLA021-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PLA021-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 17:32:21 EDT 2022
% Result : Unsatisfiable 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 23
% Syntax : Number of clauses : 51 ( 18 unt; 0 nHn; 51 RR)
% Number of literals : 155 ( 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(b,d),on(c,a)),u),
file('PLA021-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ holds(u,v)
| ~ holds(w,v)
| holds(and__dfg(w,u),v) ),
file('PLA021-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ differ(u,table)
| ~ holds(empty,v)
| ~ holds(clear(u),v)
| holds(holding(u),do(pickup(u),v)) ),
file('PLA021-1.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('PLA021-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ differ(u,v)
| ~ holds(on(u,w),x)
| holds(on(u,w),do(pickup(v),x)) ),
file('PLA021-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ differ(u,v)
| ~ holds(clear(u),w)
| holds(clear(u),do(pickup(v),w)) ),
file('PLA021-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(empty,do(putdown(w,u),v)) ),
file('PLA021-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(on(w,u),do(putdown(w,u),v)) ),
file('PLA021-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ holds(on(u,v),w)
| holds(on(u,v),do(putdown(x,y),w)) ),
file('PLA021-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ differ(u,v)
| ~ holds(clear(u),w)
| holds(clear(u),do(putdown(x,v),w)) ),
file('PLA021-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ differ(u,v)
| differ(v,u) ),
file('PLA021-1.p',unknown),
[] ).
cnf(13,axiom,
differ(a,b),
file('PLA021-1.p',unknown),
[] ).
cnf(14,axiom,
differ(a,c),
file('PLA021-1.p',unknown),
[] ).
cnf(15,axiom,
differ(a,d),
file('PLA021-1.p',unknown),
[] ).
cnf(17,axiom,
differ(b,c),
file('PLA021-1.p',unknown),
[] ).
cnf(18,axiom,
differ(b,d),
file('PLA021-1.p',unknown),
[] ).
cnf(19,axiom,
differ(b,table),
file('PLA021-1.p',unknown),
[] ).
cnf(21,axiom,
differ(c,table),
file('PLA021-1.p',unknown),
[] ).
cnf(25,axiom,
holds(on(c,d),s0),
file('PLA021-1.p',unknown),
[] ).
cnf(27,axiom,
holds(clear(a),s0),
file('PLA021-1.p',unknown),
[] ).
cnf(28,axiom,
holds(clear(b),s0),
file('PLA021-1.p',unknown),
[] ).
cnf(29,axiom,
holds(clear(c),s0),
file('PLA021-1.p',unknown),
[] ).
cnf(30,axiom,
holds(empty,s0),
file('PLA021-1.p',unknown),
[] ).
cnf(32,plain,
( ~ holds(on(c,a),u)
| ~ holds(on(b,d),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(39,plain,
differ(d,a),
inference(res,[status(thm),theory(equality)],[15,12]),
[iquote('0:Res:15.0,12.0')] ).
cnf(40,plain,
differ(c,b),
inference(res,[status(thm),theory(equality)],[17,12]),
[iquote('0:Res:17.0,12.0')] ).
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(d),u)
| ~ holds(holding(b),u)
| ~ holds(on(c,a),do(putdown(b,d),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(d),u)
| ~ holds(holding(b),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(d),do(pickup(u),v))
| ~ holds(holding(b),do(pickup(u),v)) ),
inference(res,[status(thm),theory(equality)],[5,63]),
[iquote('0:Res:5.2,63.0')] ).
cnf(77,plain,
( ~ differ(b,table)
| ~ holds(empty,u)
| ~ holds(clear(b),u)
| ~ differ(c,b)
| ~ holds(on(c,a),u)
| ~ holds(clear(d),do(pickup(b),u)) ),
inference(res,[status(thm),theory(equality)],[3,65]),
[iquote('0:Res:3.3,65.3')] ).
cnf(78,plain,
( ~ holds(empty,u)
| ~ holds(clear(b),u)
| ~ holds(on(c,a),u)
| ~ holds(clear(d),do(pickup(b),u)) ),
inference(mrr,[status(thm)],[77,19,40]),
[iquote('0:MRR:77.0,77.3,19.0,40.0')] ).
cnf(79,plain,
( ~ differ(d,b)
| ~ holds(clear(d),u)
| ~ holds(empty,u)
| ~ holds(clear(b),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(d),u)
| ~ holds(empty,u)
| ~ holds(clear(b),u)
| ~ holds(on(c,a),u) ),
inference(mrr,[status(thm)],[79,38]),
[iquote('0:MRR:79.0,38.0')] ).
cnf(85,plain,
( ~ holds(clear(a),u)
| ~ holds(holding(c),u)
| ~ holds(clear(d),do(putdown(c,a),u))
| ~ holds(empty,do(putdown(c,a),u))
| ~ holds(clear(b),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(d),do(putdown(c,a),u))
| ~ holds(clear(b),do(putdown(c,a),u)) ),
inference(mrr,[status(thm)],[85,7]),
[iquote('0:MRR:85.3,7.2')] ).
cnf(91,plain,
( ~ differ(b,a)
| ~ holds(clear(b),u)
| ~ holds(clear(a),u)
| ~ holds(holding(c),u)
| ~ holds(clear(d),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(b),u)
| ~ holds(clear(a),u)
| ~ holds(holding(c),u)
| ~ holds(clear(d),do(putdown(c,a),u)) ),
inference(mrr,[status(thm)],[91,42]),
[iquote('0:MRR:91.0,42.0')] ).
cnf(95,plain,
( ~ differ(d,a)
| ~ holds(clear(d),u)
| ~ holds(clear(b),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(d),u)
| ~ holds(clear(b),u)
| ~ holds(clear(a),u)
| ~ holds(holding(c),u) ),
inference(mrr,[status(thm)],[95,39]),
[iquote('0:MRR:95.0,39.0')] ).
cnf(97,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))
| ~ 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(d),do(pickup(c),u))
| ~ holds(clear(b),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(218,plain,
( ~ differ(b,c)
| ~ holds(clear(b),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(clear(d),do(pickup(c),u))
| ~ holds(clear(a),do(pickup(c),u)) ),
inference(res,[status(thm),theory(equality)],[6,98]),
[iquote('0:Res:6.2,98.3')] ).
cnf(220,plain,
( ~ holds(clear(b),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(clear(d),do(pickup(c),u))
| ~ holds(clear(a),do(pickup(c),u)) ),
inference(mrr,[status(thm)],[218,17]),
[iquote('0:MRR:218.0,17.0')] ).
cnf(223,plain,
( ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(on(c,d),u)
| ~ holds(clear(b),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(clear(a),do(pickup(c),u)) ),
inference(res,[status(thm),theory(equality)],[4,220]),
[iquote('0:Res:4.3,220.3')] ).
cnf(225,plain,
( ~ holds(on(c,d),u)
| ~ holds(clear(b),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(clear(a),do(pickup(c),u)) ),
inference(obv,[status(thm),theory(equality)],[223]),
[iquote('0:Obv:223.1')] ).
cnf(229,plain,
( ~ differ(a,c)
| ~ holds(clear(a),u)
| ~ holds(on(c,d),u)
| ~ holds(clear(b),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u) ),
inference(res,[status(thm),theory(equality)],[6,225]),
[iquote('0:Res:6.2,225.4')] ).
cnf(231,plain,
( ~ holds(clear(a),u)
| ~ holds(on(c,d),u)
| ~ holds(clear(b),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u) ),
inference(mrr,[status(thm)],[229,14]),
[iquote('0:MRR:229.0,14.0')] ).
cnf(233,plain,
( ~ holds(clear(a),s0)
| ~ holds(clear(b),s0)
| ~ holds(empty,s0)
| ~ holds(clear(c),s0) ),
inference(res,[status(thm),theory(equality)],[25,231]),
[iquote('0:Res:25.0,231.1')] ).
cnf(237,plain,
$false,
inference(mrr,[status(thm)],[233,27,28,30,29]),
[iquote('0:MRR:233.0,233.1,233.2,233.3,27.0,28.0,30.0,29.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PLA021-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n018.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 23:03:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45
% 0.19/0.45 SPASS V 3.9
% 0.19/0.45 SPASS beiseite: Proof found.
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 SPASS derived 153 clauses, backtracked 0 clauses, performed 0 splits and kept 158 clauses.
% 0.19/0.45 SPASS allocated 63388 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.10 on the problem.
% 0.19/0.45 0:00:00.03 for the input.
% 0.19/0.45 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.45 0:00:00.01 for inferences.
% 0.19/0.45 0:00:00.00 for the backtracking.
% 0.19/0.45 0:00:00.04 for the reduction.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Here is a proof with depth 14, length 51 :
% 0.19/0.45 % SZS output start Refutation
% See solution above
% 0.19/0.45 Formulae used in the proof : prove_BD_CA 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_b_table differ_c_table initial_state3 initial_state5 initial_state6 initial_state7 initial_state8
% 0.19/0.45
%------------------------------------------------------------------------------