TSTP Solution File: PLA004-2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PLA004-2 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 0.42s
% Output : Refutation 0.20s
% 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 : 117 ( 0 equ; 95 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(b,a),on(c,b)),u),
file('PLA004-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ holds(u,v)
| ~ holds(w,v)
| holds(and__dfg(w,u),v) ),
file('PLA004-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ differ(u,table)
| ~ holds(empty,v)
| ~ holds(clear(u),v)
| holds(holding(u),do(pickup(u),v)) ),
file('PLA004-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ differ(u,v)
| ~ holds(on(u,w),x)
| holds(on(u,w),do(pickup(v),x)) ),
file('PLA004-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ differ(u,v)
| ~ holds(clear(u),w)
| holds(clear(u),do(pickup(v),w)) ),
file('PLA004-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(empty,do(putdown(w,u),v)) ),
file('PLA004-2.p',unknown),
[] ).
cnf(8,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(on(w,u),do(putdown(w,u),v)) ),
file('PLA004-2.p',unknown),
[] ).
cnf(9,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(clear(w),do(putdown(w,u),v)) ),
file('PLA004-2.p',unknown),
[] ).
cnf(10,axiom,
( ~ holds(on(u,v),w)
| holds(on(u,v),do(putdown(x,y),w)) ),
file('PLA004-2.p',unknown),
[] ).
cnf(11,axiom,
( ~ differ(u,v)
| ~ holds(clear(u),w)
| holds(clear(u),do(putdown(x,v),w)) ),
file('PLA004-2.p',unknown),
[] ).
cnf(12,axiom,
( ~ differ(u,v)
| differ(v,u) ),
file('PLA004-2.p',unknown),
[] ).
cnf(13,axiom,
differ(a,b),
file('PLA004-2.p',unknown),
[] ).
cnf(14,axiom,
differ(a,c),
file('PLA004-2.p',unknown),
[] ).
cnf(17,axiom,
differ(b,c),
file('PLA004-2.p',unknown),
[] ).
cnf(19,axiom,
differ(b,table),
file('PLA004-2.p',unknown),
[] ).
cnf(21,axiom,
differ(c,table),
file('PLA004-2.p',unknown),
[] ).
cnf(27,axiom,
holds(clear(a),s0),
file('PLA004-2.p',unknown),
[] ).
cnf(28,axiom,
holds(clear(b),s0),
file('PLA004-2.p',unknown),
[] ).
cnf(29,axiom,
holds(clear(c),s0),
file('PLA004-2.p',unknown),
[] ).
cnf(30,axiom,
holds(empty,s0),
file('PLA004-2.p',unknown),
[] ).
cnf(32,plain,
( ~ holds(on(c,b),u)
| ~ holds(on(b,a),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(54,plain,
( ~ holds(on(b,a),u)
| ~ holds(on(c,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(c),u)
| ~ holds(on(b,a),u) ),
inference(res,[status(thm),theory(equality)],[8,54]),
[iquote('0:Res:8.2,54.1')] ).
cnf(61,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)],[5,59]),
[iquote('0:Res:5.2,59.2')] ).
cnf(68,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)],[3,61]),
[iquote('0:Res:3.3,61.3')] ).
cnf(69,plain,
( ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(on(b,a),u)
| ~ holds(clear(b),do(pickup(c),u)) ),
inference(mrr,[status(thm)],[68,21,17]),
[iquote('0:MRR:68.0,68.3,21.0,17.0')] ).
cnf(70,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)],[6,69]),
[iquote('0:Res:6.2,69.3')] ).
cnf(72,plain,
( ~ holds(clear(b),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(on(b,a),u) ),
inference(mrr,[status(thm)],[70,17]),
[iquote('0:MRR:70.0,17.0')] ).
cnf(76,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)],[8,72]),
[iquote('0:Res:8.2,72.3')] ).
cnf(77,plain,
( ~ holds(clear(a),u)
| ~ holds(holding(b),u)
| ~ holds(clear(c),do(putdown(b,a),u)) ),
inference(mrr,[status(thm)],[76,9,7]),
[iquote('0:MRR:76.2,76.3,9.2,7.2')] ).
cnf(78,plain,
( ~ differ(c,a)
| ~ holds(clear(c),u)
| ~ holds(clear(a),u)
| ~ holds(holding(b),u) ),
inference(res,[status(thm),theory(equality)],[11,77]),
[iquote('0:Res:11.2,77.2')] ).
cnf(79,plain,
( ~ holds(clear(c),u)
| ~ holds(clear(a),u)
| ~ holds(holding(b),u) ),
inference(mrr,[status(thm)],[78,41]),
[iquote('0:MRR:78.0,41.0')] ).
cnf(82,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)],[3,79]),
[iquote('0:Res:3.3,79.2')] ).
cnf(83,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)],[82,19]),
[iquote('0:MRR:82.0,19.0')] ).
cnf(92,plain,
( ~ differ(a,b)
| ~ holds(clear(a),u)
| ~ holds(empty,u)
| ~ holds(clear(b),u)
| ~ holds(clear(c),do(pickup(b),u)) ),
inference(res,[status(thm),theory(equality)],[6,83]),
[iquote('0:Res:6.2,83.3')] ).
cnf(94,plain,
( ~ holds(clear(a),u)
| ~ holds(empty,u)
| ~ holds(clear(b),u)
| ~ holds(clear(c),do(pickup(b),u)) ),
inference(mrr,[status(thm)],[92,13]),
[iquote('0:MRR:92.0,13.0')] ).
cnf(96,plain,
( ~ differ(c,b)
| ~ holds(clear(c),u)
| ~ holds(clear(a),u)
| ~ holds(empty,u)
| ~ holds(clear(b),u) ),
inference(res,[status(thm),theory(equality)],[6,94]),
[iquote('0:Res:6.2,94.3')] ).
cnf(98,plain,
( ~ holds(clear(c),u)
| ~ holds(clear(a),u)
| ~ holds(empty,u)
| ~ holds(clear(b),u) ),
inference(mrr,[status(thm)],[96,40]),
[iquote('0:MRR:96.0,40.0')] ).
cnf(100,plain,
( ~ holds(clear(c),s0)
| ~ holds(clear(a),s0)
| ~ holds(empty,s0) ),
inference(res,[status(thm),theory(equality)],[28,98]),
[iquote('0:Res:28.0,98.3')] ).
cnf(105,plain,
$false,
inference(mrr,[status(thm)],[100,29,27,30]),
[iquote('0:MRR:100.0,100.1,100.2,29.0,27.0,30.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PLA004-2 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n023.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 22:56:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.42
% 0.20/0.42 SPASS V 3.9
% 0.20/0.42 SPASS beiseite: Proof found.
% 0.20/0.42 % SZS status Theorem
% 0.20/0.42 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.42 SPASS derived 58 clauses, backtracked 0 clauses, performed 0 splits and kept 74 clauses.
% 0.20/0.42 SPASS allocated 63214 KBytes.
% 0.20/0.42 SPASS spent 0:00:00.07 on the problem.
% 0.20/0.42 0:00:00.04 for the input.
% 0.20/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.42 0:00:00.00 for inferences.
% 0.20/0.42 0:00:00.00 for the backtracking.
% 0.20/0.42 0:00:00.01 for the reduction.
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 Here is a proof with depth 12, length 42 :
% 0.20/0.42 % SZS output start Refutation
% See solution above
% 0.20/0.42 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
% 0.20/0.42
%------------------------------------------------------------------------------