TSTP Solution File: PLA022-2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PLA022-2 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 25 ( 9 unt; 0 nHn; 25 RR)
% Number of literals : 63 ( 0 equ; 48 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(a,c),on(c,d)),u),
file('PLA022-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ holds(u,v)
| ~ holds(w,v)
| holds(and__dfg(w,u),v) ),
file('PLA022-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ differ(u,table)
| ~ holds(empty,v)
| ~ holds(clear(u),v)
| holds(holding(u),do(pickup(u),v)) ),
file('PLA022-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ differ(u,v)
| ~ holds(on(u,w),x)
| holds(on(u,w),do(pickup(v),x)) ),
file('PLA022-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ differ(u,v)
| ~ holds(clear(u),w)
| holds(clear(u),do(pickup(v),w)) ),
file('PLA022-2.p',unknown),
[] ).
cnf(8,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(on(w,u),do(putdown(w,u),v)) ),
file('PLA022-2.p',unknown),
[] ).
cnf(10,axiom,
( ~ holds(on(u,v),w)
| holds(on(u,v),do(putdown(x,y),w)) ),
file('PLA022-2.p',unknown),
[] ).
cnf(12,axiom,
( ~ differ(u,v)
| differ(v,u) ),
file('PLA022-2.p',unknown),
[] ).
cnf(14,axiom,
differ(a,c),
file('PLA022-2.p',unknown),
[] ).
cnf(16,axiom,
differ(a,table),
file('PLA022-2.p',unknown),
[] ).
cnf(25,axiom,
holds(on(c,d),s0),
file('PLA022-2.p',unknown),
[] ).
cnf(27,axiom,
holds(clear(a),s0),
file('PLA022-2.p',unknown),
[] ).
cnf(29,axiom,
holds(clear(c),s0),
file('PLA022-2.p',unknown),
[] ).
cnf(30,axiom,
holds(empty,s0),
file('PLA022-2.p',unknown),
[] ).
cnf(32,plain,
( ~ holds(on(c,d),u)
| ~ holds(on(a,c),u) ),
inference(res,[status(thm),theory(equality)],[2,1]),
[iquote('0:Res:2.2,1.0')] ).
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(c),u)
| ~ holds(holding(a),u)
| ~ holds(on(c,d),do(putdown(a,c),u)) ),
inference(res,[status(thm),theory(equality)],[8,32]),
[iquote('0:Res:8.2,32.1')] ).
cnf(63,plain,
( ~ holds(on(c,d),u)
| ~ holds(clear(c),u)
| ~ holds(holding(a),u) ),
inference(res,[status(thm),theory(equality)],[10,58]),
[iquote('0:Res:10.1,58.2')] ).
cnf(66,plain,
( ~ differ(c,u)
| ~ holds(on(c,d),v)
| ~ holds(clear(c),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(80,plain,
( ~ differ(a,table)
| ~ holds(empty,u)
| ~ holds(clear(a),u)
| ~ differ(c,a)
| ~ holds(on(c,d),u)
| ~ holds(clear(c),do(pickup(a),u)) ),
inference(res,[status(thm),theory(equality)],[3,66]),
[iquote('0:Res:3.3,66.3')] ).
cnf(81,plain,
( ~ holds(empty,u)
| ~ holds(clear(a),u)
| ~ holds(on(c,d),u)
| ~ holds(clear(c),do(pickup(a),u)) ),
inference(mrr,[status(thm)],[80,16,41]),
[iquote('0:MRR:80.0,80.3,16.0,41.0')] ).
cnf(82,plain,
( ~ differ(c,a)
| ~ holds(clear(c),u)
| ~ holds(empty,u)
| ~ holds(clear(a),u)
| ~ holds(on(c,d),u) ),
inference(res,[status(thm),theory(equality)],[6,81]),
[iquote('0:Res:6.2,81.3')] ).
cnf(84,plain,
( ~ holds(clear(c),u)
| ~ holds(empty,u)
| ~ holds(clear(a),u)
| ~ holds(on(c,d),u) ),
inference(mrr,[status(thm)],[82,41]),
[iquote('0:MRR:82.0,41.0')] ).
cnf(86,plain,
( ~ holds(clear(c),s0)
| ~ holds(empty,s0)
| ~ holds(clear(a),s0) ),
inference(res,[status(thm),theory(equality)],[25,84]),
[iquote('0:Res:25.0,84.3')] ).
cnf(90,plain,
$false,
inference(mrr,[status(thm)],[86,29,30,27]),
[iquote('0:MRR:86.0,86.1,86.2,29.0,30.0,27.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PLA022-2 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue May 31 19:07:06 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.43
% 0.21/0.43 SPASS V 3.9
% 0.21/0.43 SPASS beiseite: Proof found.
% 0.21/0.43 % SZS status Theorem
% 0.21/0.43 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.43 SPASS derived 49 clauses, backtracked 0 clauses, performed 0 splits and kept 65 clauses.
% 0.21/0.43 SPASS allocated 63191 KBytes.
% 0.21/0.43 SPASS spent 0:00:00.07 on the problem.
% 0.21/0.43 0:00:00.04 for the input.
% 0.21/0.43 0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.43 0:00:00.00 for inferences.
% 0.21/0.43 0:00:00.00 for the backtracking.
% 0.21/0.43 0:00:00.00 for the reduction.
% 0.21/0.43
% 0.21/0.43
% 0.21/0.43 Here is a proof with depth 7, length 25 :
% 0.21/0.43 % SZS output start Refutation
% See solution above
% 0.21/0.43 Formulae used in the proof : prove_ACD and_definition pickup_1 pickup_3 pickup_4 putdown_2 putdown_4 symmetry_of_differ differ_a_c differ_a_table initial_state3 initial_state5 initial_state7 initial_state8
% 0.21/0.43
%------------------------------------------------------------------------------