TSTP Solution File: PLA023-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PLA023-1 : 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 17:32:21 EDT 2022
% Result : Unsatisfiable 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 23
% Syntax : Number of clauses : 58 ( 16 unt; 0 nHn; 58 RR)
% Number of literals : 185 ( 0 equ; 159 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 : 18 ( 18 usr; 11 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ holds(and__dfg(on(d,a),on(a,c)),u),
file('PLA023-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ holds(u,v)
| ~ holds(w,v)
| holds(and__dfg(w,u),v) ),
file('PLA023-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ differ(u,table)
| ~ holds(empty,v)
| ~ holds(clear(u),v)
| holds(holding(u),do(pickup(u),v)) ),
file('PLA023-1.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('PLA023-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ differ(u,v)
| ~ holds(on(u,w),x)
| holds(on(u,w),do(pickup(v),x)) ),
file('PLA023-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ differ(u,v)
| ~ holds(clear(u),w)
| holds(clear(u),do(pickup(v),w)) ),
file('PLA023-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(empty,do(putdown(w,u),v)) ),
file('PLA023-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(on(w,u),do(putdown(w,u),v)) ),
file('PLA023-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(clear(w),do(putdown(w,u),v)) ),
file('PLA023-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ holds(on(u,v),w)
| holds(on(u,v),do(putdown(x,y),w)) ),
file('PLA023-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ differ(u,v)
| ~ holds(clear(u),w)
| holds(clear(u),do(putdown(x,v),w)) ),
file('PLA023-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ differ(u,v)
| differ(v,u) ),
file('PLA023-1.p',unknown),
[] ).
cnf(14,axiom,
differ(a,c),
file('PLA023-1.p',unknown),
[] ).
cnf(15,axiom,
differ(a,d),
file('PLA023-1.p',unknown),
[] ).
cnf(16,axiom,
differ(a,table),
file('PLA023-1.p',unknown),
[] ).
cnf(20,axiom,
differ(c,d),
file('PLA023-1.p',unknown),
[] ).
cnf(21,axiom,
differ(c,table),
file('PLA023-1.p',unknown),
[] ).
cnf(22,axiom,
differ(d,table),
file('PLA023-1.p',unknown),
[] ).
cnf(25,axiom,
holds(on(c,d),s0),
file('PLA023-1.p',unknown),
[] ).
cnf(27,axiom,
holds(clear(a),s0),
file('PLA023-1.p',unknown),
[] ).
cnf(29,axiom,
holds(clear(c),s0),
file('PLA023-1.p',unknown),
[] ).
cnf(30,axiom,
holds(empty,s0),
file('PLA023-1.p',unknown),
[] ).
cnf(31,axiom,
holds(clear(table),u),
file('PLA023-1.p',unknown),
[] ).
cnf(32,plain,
( ~ holds(on(a,c),u)
| ~ holds(on(d,a),u) ),
inference(res,[status(thm),theory(equality)],[2,1]),
[iquote('0:Res:2.2,1.0')] ).
cnf(37,plain,
differ(d,c),
inference(res,[status(thm),theory(equality)],[20,12]),
[iquote('0:Res:20.0,12.0')] ).
cnf(39,plain,
differ(d,a),
inference(res,[status(thm),theory(equality)],[15,12]),
[iquote('0:Res:15.0,12.0')] ).
cnf(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(a),u)
| ~ holds(holding(d),u)
| ~ holds(on(a,c),do(putdown(d,a),u)) ),
inference(res,[status(thm),theory(equality)],[8,32]),
[iquote('0:Res:8.2,32.1')] ).
cnf(63,plain,
( ~ holds(on(a,c),u)
| ~ holds(clear(a),u)
| ~ holds(holding(d),u) ),
inference(res,[status(thm),theory(equality)],[10,58]),
[iquote('0:Res:10.1,58.2')] ).
cnf(65,plain,
( ~ differ(a,u)
| ~ holds(on(a,c),v)
| ~ holds(clear(a),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(78,plain,
( ~ differ(d,table)
| ~ holds(empty,u)
| ~ holds(clear(d),u)
| ~ differ(a,d)
| ~ holds(on(a,c),u)
| ~ holds(clear(a),do(pickup(d),u)) ),
inference(res,[status(thm),theory(equality)],[3,65]),
[iquote('0:Res:3.3,65.3')] ).
cnf(79,plain,
( ~ holds(empty,u)
| ~ holds(clear(d),u)
| ~ holds(on(a,c),u)
| ~ holds(clear(a),do(pickup(d),u)) ),
inference(mrr,[status(thm)],[78,22,15]),
[iquote('0:MRR:78.0,78.3,22.0,15.0')] ).
cnf(80,plain,
( ~ differ(a,d)
| ~ holds(clear(a),u)
| ~ holds(empty,u)
| ~ holds(clear(d),u)
| ~ holds(on(a,c),u) ),
inference(res,[status(thm),theory(equality)],[6,79]),
[iquote('0:Res:6.2,79.3')] ).
cnf(82,plain,
( ~ holds(clear(a),u)
| ~ holds(empty,u)
| ~ holds(clear(d),u)
| ~ holds(on(a,c),u) ),
inference(mrr,[status(thm)],[80,15]),
[iquote('0:MRR:80.0,15.0')] ).
cnf(86,plain,
( ~ holds(clear(c),u)
| ~ holds(holding(a),u)
| ~ holds(clear(a),do(putdown(a,c),u))
| ~ holds(empty,do(putdown(a,c),u))
| ~ holds(clear(d),do(putdown(a,c),u)) ),
inference(res,[status(thm),theory(equality)],[8,82]),
[iquote('0:Res:8.2,82.3')] ).
cnf(87,plain,
( ~ holds(clear(c),u)
| ~ holds(holding(a),u)
| ~ holds(clear(d),do(putdown(a,c),u)) ),
inference(mrr,[status(thm)],[86,9,7]),
[iquote('0:MRR:86.2,86.3,9.2,7.2')] ).
cnf(88,plain,
( ~ differ(d,c)
| ~ holds(clear(d),u)
| ~ holds(clear(c),u)
| ~ holds(holding(a),u) ),
inference(res,[status(thm),theory(equality)],[11,87]),
[iquote('0:Res:11.2,87.2')] ).
cnf(89,plain,
( ~ holds(clear(d),u)
| ~ holds(clear(c),u)
| ~ holds(holding(a),u) ),
inference(mrr,[status(thm)],[88,37]),
[iquote('0:MRR:88.0,37.0')] ).
cnf(90,plain,
( ~ differ(a,table)
| ~ holds(empty,u)
| ~ holds(clear(a),u)
| ~ holds(clear(d),do(pickup(a),u))
| ~ holds(clear(c),do(pickup(a),u)) ),
inference(res,[status(thm),theory(equality)],[3,89]),
[iquote('0:Res:3.3,89.2')] ).
cnf(91,plain,
( ~ holds(empty,u)
| ~ holds(clear(a),u)
| ~ holds(clear(d),do(pickup(a),u))
| ~ holds(clear(c),do(pickup(a),u)) ),
inference(mrr,[status(thm)],[90,16]),
[iquote('0:MRR:90.0,16.0')] ).
cnf(98,plain,
( ~ differ(d,a)
| ~ holds(clear(d),u)
| ~ holds(empty,u)
| ~ holds(clear(a),u)
| ~ holds(clear(c),do(pickup(a),u)) ),
inference(res,[status(thm),theory(equality)],[6,91]),
[iquote('0:Res:6.2,91.2')] ).
cnf(100,plain,
( ~ holds(clear(d),u)
| ~ holds(empty,u)
| ~ holds(clear(a),u)
| ~ holds(clear(c),do(pickup(a),u)) ),
inference(mrr,[status(thm)],[98,39]),
[iquote('0:MRR:98.0,39.0')] ).
cnf(102,plain,
( ~ differ(c,a)
| ~ holds(clear(c),u)
| ~ holds(clear(d),u)
| ~ holds(empty,u)
| ~ holds(clear(a),u) ),
inference(res,[status(thm),theory(equality)],[6,100]),
[iquote('0:Res:6.2,100.3')] ).
cnf(104,plain,
( ~ holds(clear(c),u)
| ~ holds(clear(d),u)
| ~ holds(empty,u)
| ~ holds(clear(a),u) ),
inference(mrr,[status(thm)],[102,41]),
[iquote('0:MRR:102.0,41.0')] ).
cnf(110,plain,
( ~ differ(d,u)
| ~ holds(clear(d),v)
| ~ holds(clear(c),do(putdown(w,u),v))
| ~ holds(empty,do(putdown(w,u),v))
| ~ holds(clear(a),do(putdown(w,u),v)) ),
inference(res,[status(thm),theory(equality)],[11,104]),
[iquote('0:Res:11.2,104.1')] ).
cnf(285,plain,
( ~ differ(a,u)
| ~ holds(clear(a),v)
| ~ differ(d,u)
| ~ holds(clear(d),v)
| ~ holds(clear(c),do(putdown(w,u),v))
| ~ holds(empty,do(putdown(w,u),v)) ),
inference(res,[status(thm),theory(equality)],[11,110]),
[iquote('0:Res:11.2,110.4')] ).
cnf(294,plain,
( ~ holds(clear(u),v)
| ~ holds(holding(c),v)
| ~ differ(a,u)
| ~ holds(clear(a),v)
| ~ differ(d,u)
| ~ holds(clear(d),v)
| ~ holds(empty,do(putdown(c,u),v)) ),
inference(res,[status(thm),theory(equality)],[9,285]),
[iquote('0:Res:9.2,285.4')] ).
cnf(295,plain,
( ~ holds(clear(u),v)
| ~ holds(holding(c),v)
| ~ differ(a,u)
| ~ holds(clear(a),v)
| ~ differ(d,u)
| ~ holds(clear(d),v) ),
inference(mrr,[status(thm)],[294,7]),
[iquote('0:MRR:294.6,7.2')] ).
cnf(299,plain,
( ~ holds(holding(c),u)
| ~ differ(a,table)
| ~ holds(clear(a),u)
| ~ differ(d,table)
| ~ holds(clear(d),u) ),
inference(res,[status(thm),theory(equality)],[31,295]),
[iquote('0:Res:31.0,295.0')] ).
cnf(304,plain,
( ~ holds(holding(c),u)
| ~ holds(clear(a),u)
| ~ holds(clear(d),u) ),
inference(mrr,[status(thm)],[299,16,22]),
[iquote('0:MRR:299.1,299.3,16.0,22.0')] ).
cnf(309,plain,
( ~ differ(c,table)
| ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(clear(a),do(pickup(c),u))
| ~ holds(clear(d),do(pickup(c),u)) ),
inference(res,[status(thm),theory(equality)],[3,304]),
[iquote('0:Res:3.3,304.0')] ).
cnf(310,plain,
( ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(clear(a),do(pickup(c),u))
| ~ holds(clear(d),do(pickup(c),u)) ),
inference(mrr,[status(thm)],[309,21]),
[iquote('0:MRR:309.0,21.0')] ).
cnf(312,plain,
( ~ holds(empty,u)
| ~ holds(clear(c),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)],[4,310]),
[iquote('0:Res:4.3,310.3')] ).
cnf(314,plain,
( ~ holds(on(c,d),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u)
| ~ holds(clear(a),do(pickup(c),u)) ),
inference(obv,[status(thm),theory(equality)],[312]),
[iquote('0:Obv:312.1')] ).
cnf(328,plain,
( ~ differ(a,c)
| ~ holds(clear(a),u)
| ~ holds(on(c,d),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u) ),
inference(res,[status(thm),theory(equality)],[6,314]),
[iquote('0:Res:6.2,314.3')] ).
cnf(330,plain,
( ~ holds(clear(a),u)
| ~ holds(on(c,d),u)
| ~ holds(empty,u)
| ~ holds(clear(c),u) ),
inference(mrr,[status(thm)],[328,14]),
[iquote('0:MRR:328.0,14.0')] ).
cnf(332,plain,
( ~ holds(clear(a),s0)
| ~ holds(empty,s0)
| ~ holds(clear(c),s0) ),
inference(res,[status(thm),theory(equality)],[25,330]),
[iquote('0:Res:25.0,330.1')] ).
cnf(336,plain,
$false,
inference(mrr,[status(thm)],[332,27,30,29]),
[iquote('0:MRR:332.0,332.1,332.2,27.0,30.0,29.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PLA023-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n023.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 21:45:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.47
% 0.19/0.47 SPASS V 3.9
% 0.19/0.47 SPASS beiseite: Proof found.
% 0.19/0.47 % SZS status Theorem
% 0.19/0.47 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 SPASS derived 234 clauses, backtracked 0 clauses, performed 0 splits and kept 204 clauses.
% 0.19/0.47 SPASS allocated 63492 KBytes.
% 0.19/0.47 SPASS spent 0:00:00.12 on the problem.
% 0.19/0.47 0:00:00.04 for the input.
% 0.19/0.47 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.47 0:00:00.01 for inferences.
% 0.19/0.47 0:00:00.00 for the backtracking.
% 0.19/0.47 0:00:00.06 for the reduction.
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 Here is a proof with depth 19, length 58 :
% 0.19/0.47 % SZS output start Refutation
% See solution above
% 0.19/0.47 Formulae used in the proof : prove_DAC 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_c differ_a_d differ_a_table differ_c_d differ_c_table differ_d_table initial_state3 initial_state5 initial_state7 initial_state8 clear_table
% 0.19/0.47
%------------------------------------------------------------------------------