TSTP Solution File: PLA004-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PLA004-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 0.17s 0.40s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 20
% Syntax : Number of clauses : 42 ( 13 unt; 0 nHn; 42 RR)
% Number of literals : 118 ( 0 equ; 96 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(b,a)),u),
file('PLA004-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ holds(u,v)
| ~ holds(w,v)
| holds(and__dfg(w,u),v) ),
file('PLA004-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ differ(u,table)
| ~ holds(empty,v)
| ~ holds(clear(u),v)
| holds(holding(u),do(pickup(u),v)) ),
file('PLA004-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ differ(u,v)
| ~ holds(on(u,w),x)
| holds(on(u,w),do(pickup(v),x)) ),
file('PLA004-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ differ(u,v)
| ~ holds(clear(u),w)
| holds(clear(u),do(pickup(v),w)) ),
file('PLA004-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(empty,do(putdown(w,u),v)) ),
file('PLA004-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(on(w,u),do(putdown(w,u),v)) ),
file('PLA004-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(clear(w),do(putdown(w,u),v)) ),
file('PLA004-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ holds(on(u,v),w)
| holds(on(u,v),do(putdown(x,y),w)) ),
file('PLA004-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ differ(u,v)
| ~ holds(clear(u),w)
| holds(clear(u),do(putdown(x,v),w)) ),
file('PLA004-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ differ(u,v)
| differ(v,u) ),
file('PLA004-1.p',unknown),
[] ).
cnf(13,axiom,
differ(a,b),
file('PLA004-1.p',unknown),
[] ).
cnf(14,axiom,
differ(a,c),
file('PLA004-1.p',unknown),
[] ).
cnf(17,axiom,
differ(b,c),
file('PLA004-1.p',unknown),
[] ).
cnf(19,axiom,
differ(b,table),
file('PLA004-1.p',unknown),
[] ).
cnf(21,axiom,
differ(c,table),
file('PLA004-1.p',unknown),
[] ).
cnf(27,axiom,
holds(clear(a),s0),
file('PLA004-1.p',unknown),
[] ).
cnf(28,axiom,
holds(clear(b),s0),
file('PLA004-1.p',unknown),
[] ).
cnf(29,axiom,
holds(clear(c),s0),
file('PLA004-1.p',unknown),
[] ).
cnf(30,axiom,
holds(empty,s0),
file('PLA004-1.p',unknown),
[] ).
cnf(32,plain,
( ~ holds(on(b,a),u)
| ~ holds(on(c,b),u) ),
inference(res,[status(thm),theory(equality)],[2,1]),
[iquote('0:Res:2.2,1.0')] ).
cnf(40,plain,
differ(c,b),
inference(res,[status(thm),theory(equality)],[17,12]),
[iquote('0:Res:17.0,12.0')] ).
cnf(41,plain,
differ(c,a),
inference(res,[status(thm),theory(equality)],[14,12]),
[iquote('0:Res:14.0,12.0')] ).
cnf(58,plain,
( ~ holds(clear(b),u)
| ~ holds(holding(c),u)
| ~ holds(on(b,a),do(putdown(c,b),u)) ),
inference(res,[status(thm),theory(equality)],[8,32]),
[iquote('0:Res:8.2,32.1')] ).
cnf(63,plain,
( ~ holds(on(b,a),u)
| ~ holds(clear(b),u)
| ~ holds(holding(c),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,a),v)
| ~ holds(clear(b),do(pickup(u),v))
| ~ holds(holding(c),do(pickup(u),v)) ),
inference(res,[status(thm),theory(equality)],[5,63]),
[iquote('0:Res:5.2,63.0')] ).
cnf(78,plain,
( ~ differ(c,table)
| ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ differ(b,c)
| ~ holds(on(b,a),u)
| ~ holds(clear(b),do(pickup(c),u)) ),
inference(res,[status(thm),theory(equality)],[3,65]),
[iquote('0:Res:3.3,65.3')] ).
cnf(79,plain,
( ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(on(b,a),u)
| ~ holds(clear(b),do(pickup(c),u)) ),
inference(mrr,[status(thm)],[78,21,17]),
[iquote('0:MRR:78.0,78.3,21.0,17.0')] ).
cnf(80,plain,
( ~ differ(b,c)
| ~ holds(clear(b),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(on(b,a),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(c),u)
| ~ holds(on(b,a),u) ),
inference(mrr,[status(thm)],[80,17]),
[iquote('0:MRR:80.0,17.0')] ).
cnf(86,plain,
( ~ holds(clear(a),u)
| ~ holds(holding(b),u)
| ~ holds(clear(b),do(putdown(b,a),u))
| ~ holds(empty,do(putdown(b,a),u))
| ~ holds(clear(c),do(putdown(b,a),u)) ),
inference(res,[status(thm),theory(equality)],[8,82]),
[iquote('0:Res:8.2,82.3')] ).
cnf(87,plain,
( ~ holds(clear(a),u)
| ~ holds(holding(b),u)
| ~ holds(clear(c),do(putdown(b,a),u)) ),
inference(mrr,[status(thm)],[86,9,7]),
[iquote('0:MRR:86.2,86.3,9.2,7.2')] ).
cnf(88,plain,
( ~ differ(c,a)
| ~ holds(clear(c),u)
| ~ holds(clear(a),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(c),u)
| ~ holds(clear(a),u)
| ~ holds(holding(b),u) ),
inference(mrr,[status(thm)],[88,41]),
[iquote('0:MRR:88.0,41.0')] ).
cnf(90,plain,
( ~ differ(b,table)
| ~ holds(empty,u)
| ~ holds(clear(b),u)
| ~ holds(clear(c),do(pickup(b),u))
| ~ holds(clear(a),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(c),do(pickup(b),u))
| ~ holds(clear(a),do(pickup(b),u)) ),
inference(mrr,[status(thm)],[90,19]),
[iquote('0:MRR:90.0,19.0')] ).
cnf(98,plain,
( ~ differ(c,b)
| ~ holds(clear(c),u)
| ~ holds(empty,u)
| ~ holds(clear(b),u)
| ~ holds(clear(a),do(pickup(b),u)) ),
inference(res,[status(thm),theory(equality)],[6,91]),
[iquote('0:Res:6.2,91.2')] ).
cnf(100,plain,
( ~ holds(clear(c),u)
| ~ holds(empty,u)
| ~ holds(clear(b),u)
| ~ holds(clear(a),do(pickup(b),u)) ),
inference(mrr,[status(thm)],[98,40]),
[iquote('0:MRR:98.0,40.0')] ).
cnf(102,plain,
( ~ differ(a,b)
| ~ holds(clear(a),u)
| ~ holds(clear(c),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(a),u)
| ~ holds(clear(c),u)
| ~ holds(empty,u)
| ~ holds(clear(b),u) ),
inference(mrr,[status(thm)],[102,13]),
[iquote('0:MRR:102.0,13.0')] ).
cnf(109,plain,
( ~ holds(clear(a),s0)
| ~ holds(empty,s0)
| ~ holds(clear(b),s0) ),
inference(res,[status(thm),theory(equality)],[29,104]),
[iquote('0:Res:29.0,104.1')] ).
cnf(114,plain,
$false,
inference(mrr,[status(thm)],[109,27,30,28]),
[iquote('0:MRR:109.0,109.1,109.2,27.0,30.0,28.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : PLA004-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.13/0.31 % Computer : n017.cluster.edu
% 0.13/0.31 % Model : x86_64 x86_64
% 0.13/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31 % Memory : 8042.1875MB
% 0.13/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31 % CPULimit : 300
% 0.13/0.31 % WCLimit : 600
% 0.13/0.31 % DateTime : Tue May 31 19:48:11 EDT 2022
% 0.13/0.31 % CPUTime :
% 0.17/0.40
% 0.17/0.40 SPASS V 3.9
% 0.17/0.40 SPASS beiseite: Proof found.
% 0.17/0.40 % SZS status Theorem
% 0.17/0.40 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.40 SPASS derived 63 clauses, backtracked 0 clauses, performed 0 splits and kept 78 clauses.
% 0.17/0.40 SPASS allocated 63225 KBytes.
% 0.17/0.40 SPASS spent 0:00:00.07 on the problem.
% 0.17/0.40 0:00:00.04 for the input.
% 0.17/0.40 0:00:00.00 for the FLOTTER CNF translation.
% 0.17/0.40 0:00:00.00 for inferences.
% 0.17/0.40 0:00:00.00 for the backtracking.
% 0.17/0.40 0:00:00.01 for the reduction.
% 0.17/0.40
% 0.17/0.40
% 0.17/0.40 Here is a proof with depth 12, length 42 :
% 0.17/0.40 % SZS output start Refutation
% See solution above
% 0.17/0.40 Formulae used in the proof : prove_CBA and_definition pickup_1 pickup_3 pickup_4 putdown_1 putdown_2 putdown_3 putdown_4 putdown_5 symmetry_of_differ differ_a_b differ_a_c differ_b_c differ_b_table differ_c_table initial_state5 initial_state6 initial_state7 initial_state8
% 0.17/0.40
%------------------------------------------------------------------------------