TSTP Solution File: PLA007-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PLA007-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 17:32:18 EDT 2022
% Result : Unsatisfiable 0.20s 0.44s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of clauses : 35 ( 13 unt; 0 nHn; 35 RR)
% Number of literals : 104 ( 0 equ; 85 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ holds(on(a,d),u),
file('PLA007-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ differ(u,table)
| ~ holds(empty,v)
| ~ holds(clear(u),v)
| holds(holding(u),do(pickup(u),v)) ),
file('PLA007-1.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('PLA007-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ differ(u,v)
| ~ holds(clear(u),w)
| holds(clear(u),do(pickup(v),w)) ),
file('PLA007-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(empty,do(putdown(w,u),v)) ),
file('PLA007-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(on(w,u),do(putdown(w,u),v)) ),
file('PLA007-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ differ(u,v)
| ~ holds(clear(u),w)
| holds(clear(u),do(putdown(x,v),w)) ),
file('PLA007-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ differ(u,v)
| differ(v,u) ),
file('PLA007-1.p',unknown),
[] ).
cnf(14,axiom,
differ(a,c),
file('PLA007-1.p',unknown),
[] ).
cnf(15,axiom,
differ(a,d),
file('PLA007-1.p',unknown),
[] ).
cnf(16,axiom,
differ(a,table),
file('PLA007-1.p',unknown),
[] ).
cnf(21,axiom,
differ(c,table),
file('PLA007-1.p',unknown),
[] ).
cnf(22,axiom,
differ(d,table),
file('PLA007-1.p',unknown),
[] ).
cnf(25,axiom,
holds(on(c,d),s0),
file('PLA007-1.p',unknown),
[] ).
cnf(27,axiom,
holds(clear(a),s0),
file('PLA007-1.p',unknown),
[] ).
cnf(29,axiom,
holds(clear(c),s0),
file('PLA007-1.p',unknown),
[] ).
cnf(30,axiom,
holds(empty,s0),
file('PLA007-1.p',unknown),
[] ).
cnf(31,axiom,
holds(clear(table),u),
file('PLA007-1.p',unknown),
[] ).
cnf(34,plain,
( ~ holds(clear(d),u)
| ~ holds(holding(a),u) ),
inference(res,[status(thm),theory(equality)],[8,1]),
[iquote('0:Res:8.2,1.0')] ).
cnf(41,plain,
differ(d,a),
inference(res,[status(thm),theory(equality)],[15,12]),
[iquote('0:Res:15.0,12.0')] ).
cnf(58,plain,
( ~ differ(a,table)
| ~ holds(empty,u)
| ~ holds(clear(a),u)
| ~ holds(clear(d),do(pickup(a),u)) ),
inference(res,[status(thm),theory(equality)],[3,34]),
[iquote('0:Res:3.3,34.1')] ).
cnf(59,plain,
( ~ holds(empty,u)
| ~ holds(clear(a),u)
| ~ holds(clear(d),do(pickup(a),u)) ),
inference(mrr,[status(thm)],[58,16]),
[iquote('0:MRR:58.0,16.0')] ).
cnf(60,plain,
( ~ differ(d,a)
| ~ holds(clear(d),u)
| ~ holds(empty,u)
| ~ holds(clear(a),u) ),
inference(res,[status(thm),theory(equality)],[6,59]),
[iquote('0:Res:6.2,59.2')] ).
cnf(61,plain,
( ~ holds(clear(d),u)
| ~ holds(empty,u)
| ~ holds(clear(a),u) ),
inference(mrr,[status(thm)],[60,41]),
[iquote('0:MRR:60.0,41.0')] ).
cnf(64,plain,
( ~ 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)],[11,61]),
[iquote('0:Res:11.2,61.2')] ).
cnf(74,plain,
( ~ differ(d,u)
| ~ holds(clear(d),v)
| ~ differ(a,u)
| ~ holds(clear(a),v)
| ~ holds(empty,do(putdown(w,u),v)) ),
inference(res,[status(thm),theory(equality)],[11,64]),
[iquote('0:Res:11.2,64.2')] ).
cnf(95,plain,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| ~ differ(d,u)
| ~ holds(clear(d),v)
| ~ differ(a,u)
| ~ holds(clear(a),v) ),
inference(res,[status(thm),theory(equality)],[7,74]),
[iquote('0:Res:7.2,74.4')] ).
cnf(122,plain,
( ~ holds(holding(u),v)
| ~ differ(d,table)
| ~ holds(clear(d),v)
| ~ differ(a,table)
| ~ holds(clear(a),v) ),
inference(res,[status(thm),theory(equality)],[31,95]),
[iquote('0:Res:31.0,95.0')] ).
cnf(127,plain,
( ~ holds(holding(u),v)
| ~ holds(clear(d),v)
| ~ holds(clear(a),v) ),
inference(mrr,[status(thm)],[122,22,16]),
[iquote('0:MRR:122.1,122.3,22.0,16.0')] ).
cnf(128,plain,
( ~ differ(u,table)
| ~ holds(empty,v)
| ~ holds(clear(u),v)
| ~ holds(clear(d),do(pickup(u),v))
| ~ holds(clear(a),do(pickup(u),v)) ),
inference(res,[status(thm),theory(equality)],[3,127]),
[iquote('0:Res:3.3,127.0')] ).
cnf(129,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)) ),
inference(res,[status(thm),theory(equality)],[6,128]),
[iquote('0:Res:6.2,128.4')] ).
cnf(140,plain,
( ~ holds(empty,u)
| ~ holds(clear(v),u)
| ~ holds(on(v,d),u)
| ~ differ(a,v)
| ~ holds(clear(a),u)
| ~ differ(v,table)
| ~ holds(empty,u)
| ~ holds(clear(v),u) ),
inference(res,[status(thm),theory(equality)],[4,129]),
[iquote('0:Res:4.3,129.5')] ).
cnf(141,plain,
( ~ holds(on(u,d),v)
| ~ differ(a,u)
| ~ holds(clear(a),v)
| ~ differ(u,table)
| ~ holds(empty,v)
| ~ holds(clear(u),v) ),
inference(obv,[status(thm),theory(equality)],[140]),
[iquote('0:Obv:140.1')] ).
cnf(152,plain,
( ~ differ(a,c)
| ~ holds(clear(a),s0)
| ~ differ(c,table)
| ~ holds(empty,s0)
| ~ holds(clear(c),s0) ),
inference(res,[status(thm),theory(equality)],[25,141]),
[iquote('0:Res:25.0,141.0')] ).
cnf(156,plain,
$false,
inference(mrr,[status(thm)],[152,14,27,21,30,29]),
[iquote('0:MRR:152.0,152.1,152.2,152.3,152.4,14.0,27.0,21.0,30.0,29.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PLA007-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue May 31 21:57:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.44
% 0.20/0.44 SPASS V 3.9
% 0.20/0.44 SPASS beiseite: Proof found.
% 0.20/0.44 % SZS status Theorem
% 0.20/0.44 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.44 SPASS derived 104 clauses, backtracked 0 clauses, performed 0 splits and kept 95 clauses.
% 0.20/0.44 SPASS allocated 63285 KBytes.
% 0.20/0.44 SPASS spent 0:00:00.08 on the problem.
% 0.20/0.44 0:00:00.04 for the input.
% 0.20/0.44 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.44 0:00:00.00 for inferences.
% 0.20/0.44 0:00:00.00 for the backtracking.
% 0.20/0.44 0:00:00.01 for the reduction.
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 Here is a proof with depth 11, length 35 :
% 0.20/0.44 % SZS output start Refutation
% See solution above
% 0.20/0.44 Formulae used in the proof : prove_AD pickup_1 pickup_2 pickup_4 putdown_1 putdown_2 putdown_5 symmetry_of_differ differ_a_c differ_a_d differ_a_table differ_c_table differ_d_table initial_state3 initial_state5 initial_state7 initial_state8 clear_table
% 0.20/0.44
%------------------------------------------------------------------------------