TSTP Solution File: PLA015-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PLA015-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 17:32:19 EDT 2022
% Result : Unsatisfiable 0.83s 1.03s
% Output : Refutation 0.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 27
% Syntax : Number of clauses : 60 ( 19 unt; 0 nHn; 60 RR)
% Number of literals : 208 ( 0 equ; 179 neg)
% Maximal clause size : 10 ( 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(a,b),on(b,d)),u),
file('PLA015-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ holds(u,v)
| ~ holds(w,v)
| holds(and__dfg(w,u),v) ),
file('PLA015-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ differ(u,table)
| ~ holds(empty,v)
| ~ holds(clear(u),v)
| holds(holding(u),do(pickup(u),v)) ),
file('PLA015-1.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('PLA015-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ differ(u,v)
| ~ holds(on(u,w),x)
| holds(on(u,w),do(pickup(v),x)) ),
file('PLA015-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ differ(u,v)
| ~ holds(clear(u),w)
| holds(clear(u),do(pickup(v),w)) ),
file('PLA015-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(empty,do(putdown(w,u),v)) ),
file('PLA015-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(on(w,u),do(putdown(w,u),v)) ),
file('PLA015-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(clear(w),do(putdown(w,u),v)) ),
file('PLA015-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ holds(on(u,v),w)
| holds(on(u,v),do(putdown(x,y),w)) ),
file('PLA015-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ differ(u,v)
| ~ holds(clear(u),w)
| holds(clear(u),do(putdown(x,v),w)) ),
file('PLA015-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ differ(u,v)
| differ(v,u) ),
file('PLA015-1.p',unknown),
[] ).
cnf(13,axiom,
differ(a,b),
file('PLA015-1.p',unknown),
[] ).
cnf(14,axiom,
differ(a,c),
file('PLA015-1.p',unknown),
[] ).
cnf(15,axiom,
differ(a,d),
file('PLA015-1.p',unknown),
[] ).
cnf(16,axiom,
differ(a,table),
file('PLA015-1.p',unknown),
[] ).
cnf(17,axiom,
differ(b,c),
file('PLA015-1.p',unknown),
[] ).
cnf(18,axiom,
differ(b,d),
file('PLA015-1.p',unknown),
[] ).
cnf(19,axiom,
differ(b,table),
file('PLA015-1.p',unknown),
[] ).
cnf(21,axiom,
differ(c,table),
file('PLA015-1.p',unknown),
[] ).
cnf(22,axiom,
differ(d,table),
file('PLA015-1.p',unknown),
[] ).
cnf(25,axiom,
holds(on(c,d),s0),
file('PLA015-1.p',unknown),
[] ).
cnf(27,axiom,
holds(clear(a),s0),
file('PLA015-1.p',unknown),
[] ).
cnf(28,axiom,
holds(clear(b),s0),
file('PLA015-1.p',unknown),
[] ).
cnf(29,axiom,
holds(clear(c),s0),
file('PLA015-1.p',unknown),
[] ).
cnf(30,axiom,
holds(empty,s0),
file('PLA015-1.p',unknown),
[] ).
cnf(31,axiom,
holds(clear(table),u),
file('PLA015-1.p',unknown),
[] ).
cnf(32,plain,
( ~ holds(on(b,d),u)
| ~ holds(on(a,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(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(a),u)
| ~ holds(on(b,d),do(putdown(a,b),u)) ),
inference(res,[status(thm),theory(equality)],[8,32]),
[iquote('0:Res:8.2,32.1')] ).
cnf(63,plain,
( ~ holds(on(b,d),u)
| ~ holds(clear(b),u)
| ~ holds(holding(a),u) ),
inference(res,[status(thm),theory(equality)],[10,58]),
[iquote('0:Res:10.1,58.2')] ).
cnf(65,plain,
( ~ differ(b,u)
| ~ holds(on(b,d),v)
| ~ holds(clear(b),do(pickup(u),v))
| ~ holds(holding(a),do(pickup(u),v)) ),
inference(res,[status(thm),theory(equality)],[5,63]),
[iquote('0:Res:5.2,63.0')] ).
cnf(78,plain,
( ~ differ(a,table)
| ~ holds(empty,u)
| ~ holds(clear(a),u)
| ~ differ(b,a)
| ~ holds(on(b,d),u)
| ~ holds(clear(b),do(pickup(a),u)) ),
inference(res,[status(thm),theory(equality)],[3,65]),
[iquote('0:Res:3.3,65.3')] ).
cnf(79,plain,
( ~ holds(empty,u)
| ~ holds(clear(a),u)
| ~ holds(on(b,d),u)
| ~ holds(clear(b),do(pickup(a),u)) ),
inference(mrr,[status(thm)],[78,16,42]),
[iquote('0:MRR:78.0,78.3,16.0,42.0')] ).
cnf(80,plain,
( ~ differ(b,a)
| ~ holds(clear(b),u)
| ~ holds(empty,u)
| ~ holds(clear(a),u)
| ~ holds(on(b,d),u) ),
inference(res,[status(thm),theory(equality)],[6,79]),
[iquote('0:Res:6.2,79.3')] ).
cnf(82,plain,
( ~ holds(clear(b),u)
| ~ holds(empty,u)
| ~ holds(clear(a),u)
| ~ holds(on(b,d),u) ),
inference(mrr,[status(thm)],[80,42]),
[iquote('0:MRR:80.0,42.0')] ).
cnf(86,plain,
( ~ holds(clear(d),u)
| ~ holds(holding(b),u)
| ~ holds(clear(b),do(putdown(b,d),u))
| ~ holds(empty,do(putdown(b,d),u))
| ~ holds(clear(a),do(putdown(b,d),u)) ),
inference(res,[status(thm),theory(equality)],[8,82]),
[iquote('0:Res:8.2,82.3')] ).
cnf(87,plain,
( ~ holds(clear(d),u)
| ~ holds(holding(b),u)
| ~ holds(clear(a),do(putdown(b,d),u)) ),
inference(mrr,[status(thm)],[86,9,7]),
[iquote('0:MRR:86.2,86.3,9.2,7.2')] ).
cnf(88,plain,
( ~ differ(a,d)
| ~ holds(clear(a),u)
| ~ holds(clear(d),u)
| ~ holds(holding(b),u) ),
inference(res,[status(thm),theory(equality)],[11,87]),
[iquote('0:Res:11.2,87.2')] ).
cnf(89,plain,
( ~ holds(clear(a),u)
| ~ holds(clear(d),u)
| ~ holds(holding(b),u) ),
inference(mrr,[status(thm)],[88,15]),
[iquote('0:MRR:88.0,15.0')] ).
cnf(90,plain,
( ~ differ(b,table)
| ~ holds(empty,u)
| ~ holds(clear(b),u)
| ~ holds(clear(a),do(pickup(b),u))
| ~ holds(clear(d),do(pickup(b),u)) ),
inference(res,[status(thm),theory(equality)],[3,89]),
[iquote('0:Res:3.3,89.2')] ).
cnf(91,plain,
( ~ holds(empty,u)
| ~ holds(clear(b),u)
| ~ holds(clear(a),do(pickup(b),u))
| ~ holds(clear(d),do(pickup(b),u)) ),
inference(mrr,[status(thm)],[90,19]),
[iquote('0:MRR:90.0,19.0')] ).
cnf(98,plain,
( ~ differ(a,b)
| ~ holds(clear(a),u)
| ~ holds(empty,u)
| ~ holds(clear(b),u)
| ~ holds(clear(d),do(pickup(b),u)) ),
inference(res,[status(thm),theory(equality)],[6,91]),
[iquote('0:Res:6.2,91.2')] ).
cnf(100,plain,
( ~ holds(clear(a),u)
| ~ holds(empty,u)
| ~ holds(clear(b),u)
| ~ holds(clear(d),do(pickup(b),u)) ),
inference(mrr,[status(thm)],[98,13]),
[iquote('0:MRR:98.0,13.0')] ).
cnf(102,plain,
( ~ differ(d,b)
| ~ holds(clear(d),u)
| ~ holds(clear(a),u)
| ~ holds(empty,u)
| ~ holds(clear(b),u) ),
inference(res,[status(thm),theory(equality)],[6,100]),
[iquote('0:Res:6.2,100.3')] ).
cnf(104,plain,
( ~ holds(clear(d),u)
| ~ holds(clear(a),u)
| ~ holds(empty,u)
| ~ holds(clear(b),u) ),
inference(mrr,[status(thm)],[102,38]),
[iquote('0:MRR:102.0,38.0')] ).
cnf(111,plain,
( ~ differ(a,u)
| ~ holds(clear(a),v)
| ~ holds(clear(d),do(putdown(w,u),v))
| ~ holds(empty,do(putdown(w,u),v))
| ~ holds(clear(b),do(putdown(w,u),v)) ),
inference(res,[status(thm),theory(equality)],[11,104]),
[iquote('0:Res:11.2,104.1')] ).
cnf(279,plain,
( ~ differ(b,u)
| ~ holds(clear(b),v)
| ~ differ(a,u)
| ~ holds(clear(a),v)
| ~ holds(clear(d),do(putdown(w,u),v))
| ~ holds(empty,do(putdown(w,u),v)) ),
inference(res,[status(thm),theory(equality)],[11,111]),
[iquote('0:Res:11.2,111.4')] ).
cnf(287,plain,
( ~ differ(d,u)
| ~ holds(clear(d),v)
| ~ differ(b,u)
| ~ holds(clear(b),v)
| ~ differ(a,u)
| ~ holds(clear(a),v)
| ~ holds(empty,do(putdown(w,u),v)) ),
inference(res,[status(thm),theory(equality)],[11,279]),
[iquote('0:Res:11.2,279.4')] ).
cnf(579,plain,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| ~ differ(d,u)
| ~ holds(clear(d),v)
| ~ differ(b,u)
| ~ holds(clear(b),v)
| ~ differ(a,u)
| ~ holds(clear(a),v) ),
inference(res,[status(thm),theory(equality)],[7,287]),
[iquote('0:Res:7.2,287.6')] ).
cnf(659,plain,
( ~ holds(holding(u),v)
| ~ differ(d,table)
| ~ holds(clear(d),v)
| ~ differ(b,table)
| ~ holds(clear(b),v)
| ~ differ(a,table)
| ~ holds(clear(a),v) ),
inference(res,[status(thm),theory(equality)],[31,579]),
[iquote('0:Res:31.0,579.0')] ).
cnf(664,plain,
( ~ holds(holding(u),v)
| ~ holds(clear(d),v)
| ~ holds(clear(b),v)
| ~ holds(clear(a),v) ),
inference(mrr,[status(thm)],[659,22,19,16]),
[iquote('0:MRR:659.1,659.3,659.5,22.0,19.0,16.0')] ).
cnf(665,plain,
( ~ differ(u,table)
| ~ holds(empty,v)
| ~ holds(clear(u),v)
| ~ holds(clear(d),do(pickup(u),v))
| ~ holds(clear(b),do(pickup(u),v))
| ~ holds(clear(a),do(pickup(u),v)) ),
inference(res,[status(thm),theory(equality)],[3,664]),
[iquote('0:Res:3.3,664.0')] ).
cnf(666,plain,
( ~ differ(a,u)
| ~ holds(clear(a),v)
| ~ differ(u,table)
| ~ holds(empty,v)
| ~ holds(clear(u),v)
| ~ holds(clear(d),do(pickup(u),v))
| ~ holds(clear(b),do(pickup(u),v)) ),
inference(res,[status(thm),theory(equality)],[6,665]),
[iquote('0:Res:6.2,665.5')] ).
cnf(841,plain,
( ~ differ(b,u)
| ~ holds(clear(b),v)
| ~ differ(a,u)
| ~ holds(clear(a),v)
| ~ differ(u,table)
| ~ holds(empty,v)
| ~ holds(clear(u),v)
| ~ holds(clear(d),do(pickup(u),v)) ),
inference(res,[status(thm),theory(equality)],[6,666]),
[iquote('0:Res:6.2,666.6')] ).
cnf(1849,plain,
( ~ holds(empty,u)
| ~ holds(clear(v),u)
| ~ holds(on(v,d),u)
| ~ differ(b,v)
| ~ holds(clear(b),u)
| ~ differ(a,v)
| ~ holds(clear(a),u)
| ~ differ(v,table)
| ~ holds(empty,u)
| ~ holds(clear(v),u) ),
inference(res,[status(thm),theory(equality)],[4,841]),
[iquote('0:Res:4.3,841.7')] ).
cnf(1850,plain,
( ~ holds(on(u,d),v)
| ~ differ(b,u)
| ~ holds(clear(b),v)
| ~ differ(a,u)
| ~ holds(clear(a),v)
| ~ differ(u,table)
| ~ holds(empty,v)
| ~ holds(clear(u),v) ),
inference(obv,[status(thm),theory(equality)],[1849]),
[iquote('0:Obv:1849.1')] ).
cnf(1851,plain,
( ~ differ(b,c)
| ~ holds(clear(b),s0)
| ~ differ(a,c)
| ~ holds(clear(a),s0)
| ~ differ(c,table)
| ~ holds(empty,s0)
| ~ holds(clear(c),s0) ),
inference(res,[status(thm),theory(equality)],[25,1850]),
[iquote('0:Res:25.0,1850.0')] ).
cnf(1855,plain,
$false,
inference(mrr,[status(thm)],[1851,17,28,14,27,21,30,29]),
[iquote('0:MRR:1851.0,1851.1,1851.2,1851.3,1851.4,1851.5,1851.6,17.0,28.0,14.0,27.0,21.0,30.0,29.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : PLA015-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n020.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
% 0.13/0.33 % DateTime : Tue May 31 23:40:53 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.83/1.03
% 0.83/1.03 SPASS V 3.9
% 0.83/1.03 SPASS beiseite: Proof found.
% 0.83/1.03 % SZS status Theorem
% 0.83/1.03 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.83/1.03 SPASS derived 1392 clauses, backtracked 0 clauses, performed 0 splits and kept 1058 clauses.
% 0.83/1.03 SPASS allocated 65122 KBytes.
% 0.83/1.03 SPASS spent 0:00:00.68 on the problem.
% 0.83/1.03 0:00:00.03 for the input.
% 0.83/1.03 0:00:00.00 for the FLOTTER CNF translation.
% 0.83/1.03 0:00:00.06 for inferences.
% 0.83/1.03 0:00:00.00 for the backtracking.
% 0.83/1.03 0:00:00.55 for the reduction.
% 0.83/1.03
% 0.83/1.03
% 0.83/1.03 Here is a proof with depth 21, length 60 :
% 0.83/1.03 % SZS output start Refutation
% See solution above
% 0.83/1.03 Formulae used in the proof : prove_ABD and_definition pickup_1 pickup_2 pickup_3 pickup_4 putdown_1 putdown_2 putdown_3 putdown_4 putdown_5 symmetry_of_differ differ_a_b differ_a_c differ_a_d differ_a_table differ_b_c differ_b_d differ_b_table differ_c_table differ_d_table initial_state3 initial_state5 initial_state6 initial_state7 initial_state8 clear_table
% 0.83/1.03
%------------------------------------------------------------------------------