TSTP Solution File: PLA009-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PLA009-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 0.15s 0.51s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of clauses : 37 ( 13 unt; 0 nHn; 37 RR)
% Number of literals : 128 ( 0 equ; 106 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ holds(and__dfg(on(a,b),clear(d)),u),
file('PLA009-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ holds(u,v)
| ~ holds(w,v)
| holds(and__dfg(w,u),v) ),
file('PLA009-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ differ(u,table)
| ~ holds(empty,v)
| ~ holds(clear(u),v)
| holds(holding(u),do(pickup(u),v)) ),
file('PLA009-1.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('PLA009-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ differ(u,v)
| ~ holds(on(u,w),x)
| holds(on(u,w),do(pickup(v),x)) ),
file('PLA009-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ differ(u,v)
| ~ holds(clear(u),w)
| holds(clear(u),do(pickup(v),w)) ),
file('PLA009-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(empty,do(putdown(w,u),v)) ),
file('PLA009-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(on(w,u),do(putdown(w,u),v)) ),
file('PLA009-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ holds(on(u,v),w)
| holds(on(u,v),do(putdown(x,y),w)) ),
file('PLA009-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ differ(u,v)
| ~ holds(clear(u),w)
| holds(clear(u),do(putdown(x,v),w)) ),
file('PLA009-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ differ(u,v)
| differ(v,u) ),
file('PLA009-1.p',unknown),
[] ).
cnf(13,axiom,
differ(a,b),
file('PLA009-1.p',unknown),
[] ).
cnf(14,axiom,
differ(a,c),
file('PLA009-1.p',unknown),
[] ).
cnf(16,axiom,
differ(a,table),
file('PLA009-1.p',unknown),
[] ).
cnf(17,axiom,
differ(b,c),
file('PLA009-1.p',unknown),
[] ).
cnf(25,axiom,
holds(on(c,d),s0),
file('PLA009-1.p',unknown),
[] ).
cnf(27,axiom,
holds(clear(a),s0),
file('PLA009-1.p',unknown),
[] ).
cnf(28,axiom,
holds(clear(b),s0),
file('PLA009-1.p',unknown),
[] ).
cnf(29,axiom,
holds(clear(c),s0),
file('PLA009-1.p',unknown),
[] ).
cnf(30,axiom,
holds(empty,s0),
file('PLA009-1.p',unknown),
[] ).
cnf(32,plain,
( ~ holds(clear(d),u)
| ~ holds(on(a,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(42,plain,
differ(b,a),
inference(res,[status(thm),theory(equality)],[13,12]),
[iquote('0:Res:13.0,12.0')] ).
cnf(57,plain,
( ~ differ(a,u)
| ~ holds(on(a,b),v)
| ~ holds(clear(d),do(pickup(u),v)) ),
inference(res,[status(thm),theory(equality)],[5,32]),
[iquote('0:Res:5.2,32.1')] ).
cnf(69,plain,
( ~ holds(empty,u)
| ~ holds(clear(v),u)
| ~ holds(on(v,d),u)
| ~ differ(a,v)
| ~ holds(on(a,b),u) ),
inference(res,[status(thm),theory(equality)],[4,57]),
[iquote('0:Res:4.3,57.2')] ).
cnf(75,plain,
( ~ holds(on(u,d),v)
| ~ holds(empty,do(putdown(w,x),v))
| ~ holds(clear(u),do(putdown(w,x),v))
| ~ differ(a,u)
| ~ holds(on(a,b),do(putdown(w,x),v)) ),
inference(res,[status(thm),theory(equality)],[10,69]),
[iquote('0:Res:10.1,69.2')] ).
cnf(109,plain,
( ~ holds(clear(b),u)
| ~ holds(holding(a),u)
| ~ holds(on(v,d),u)
| ~ holds(empty,do(putdown(a,b),u))
| ~ holds(clear(v),do(putdown(a,b),u))
| ~ differ(a,v) ),
inference(res,[status(thm),theory(equality)],[8,75]),
[iquote('0:Res:8.2,75.4')] ).
cnf(110,plain,
( ~ holds(clear(b),u)
| ~ holds(holding(a),u)
| ~ holds(on(v,d),u)
| ~ holds(clear(v),do(putdown(a,b),u))
| ~ differ(a,v) ),
inference(mrr,[status(thm)],[109,7]),
[iquote('0:MRR:109.3,7.2')] ).
cnf(112,plain,
( ~ differ(u,b)
| ~ holds(clear(u),v)
| ~ holds(clear(b),v)
| ~ holds(holding(a),v)
| ~ holds(on(u,d),v)
| ~ differ(a,u) ),
inference(res,[status(thm),theory(equality)],[11,110]),
[iquote('0:Res:11.2,110.3')] ).
cnf(189,plain,
( ~ differ(u,v)
| ~ holds(on(u,d),w)
| ~ differ(u,b)
| ~ holds(clear(u),do(pickup(v),w))
| ~ holds(clear(b),do(pickup(v),w))
| ~ holds(holding(a),do(pickup(v),w))
| ~ differ(a,u) ),
inference(res,[status(thm),theory(equality)],[5,112]),
[iquote('0:Res:5.2,112.4')] ).
cnf(327,plain,
( ~ differ(u,v)
| ~ holds(clear(u),w)
| ~ differ(u,v)
| ~ holds(on(u,d),w)
| ~ differ(u,b)
| ~ holds(clear(b),do(pickup(v),w))
| ~ holds(holding(a),do(pickup(v),w))
| ~ differ(a,u) ),
inference(res,[status(thm),theory(equality)],[6,189]),
[iquote('0:Res:6.2,189.3')] ).
cnf(329,plain,
( ~ holds(clear(u),v)
| ~ differ(u,w)
| ~ holds(on(u,d),v)
| ~ differ(u,b)
| ~ holds(clear(b),do(pickup(w),v))
| ~ holds(holding(a),do(pickup(w),v))
| ~ differ(a,u) ),
inference(obv,[status(thm),theory(equality)],[327]),
[iquote('0:Obv:327.0')] ).
cnf(382,plain,
( ~ differ(b,u)
| ~ holds(clear(b),v)
| ~ holds(clear(w),v)
| ~ differ(w,u)
| ~ holds(on(w,d),v)
| ~ differ(w,b)
| ~ holds(holding(a),do(pickup(u),v))
| ~ differ(a,w) ),
inference(res,[status(thm),theory(equality)],[6,329]),
[iquote('0:Res:6.2,329.4')] ).
cnf(600,plain,
( ~ differ(a,table)
| ~ holds(empty,u)
| ~ holds(clear(a),u)
| ~ differ(b,a)
| ~ holds(clear(b),u)
| ~ holds(clear(v),u)
| ~ differ(v,a)
| ~ holds(on(v,d),u)
| ~ differ(v,b)
| ~ differ(a,v) ),
inference(res,[status(thm),theory(equality)],[3,382]),
[iquote('0:Res:3.3,382.6')] ).
cnf(601,plain,
( ~ holds(empty,u)
| ~ holds(clear(a),u)
| ~ holds(clear(b),u)
| ~ holds(clear(v),u)
| ~ holds(on(v,d),u)
| ~ differ(v,b)
| ~ differ(a,v) ),
inference(mrr,[status(thm)],[600,16,42,12]),
[iquote('0:MRR:600.0,600.3,600.6,16.0,42.0,12.1')] ).
cnf(629,plain,
( ~ holds(empty,s0)
| ~ holds(clear(a),s0)
| ~ holds(clear(b),s0)
| ~ holds(clear(c),s0)
| ~ differ(c,b)
| ~ differ(a,c) ),
inference(res,[status(thm),theory(equality)],[25,601]),
[iquote('0:Res:25.0,601.4')] ).
cnf(633,plain,
$false,
inference(mrr,[status(thm)],[629,30,27,28,29,40,14]),
[iquote('0:MRR:629.0,629.1,629.2,629.3,629.4,629.5,30.0,27.0,28.0,29.0,40.0,14.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : PLA009-1 : TPTP v8.1.0. Released v1.1.0.
% 0.00/0.10 % Command : run_spass %d %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Tue May 31 19:19:43 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.15/0.51
% 0.15/0.51 SPASS V 3.9
% 0.15/0.51 SPASS beiseite: Proof found.
% 0.15/0.51 % SZS status Theorem
% 0.15/0.51 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.51 SPASS derived 484 clauses, backtracked 0 clauses, performed 0 splits and kept 409 clauses.
% 0.15/0.51 SPASS allocated 63856 KBytes.
% 0.15/0.51 SPASS spent 0:00:00.20 on the problem.
% 0.15/0.51 0:00:00.03 for the input.
% 0.15/0.51 0:00:00.00 for the FLOTTER CNF translation.
% 0.15/0.51 0:00:00.02 for inferences.
% 0.15/0.51 0:00:00.00 for the backtracking.
% 0.15/0.51 0:00:00.13 for the reduction.
% 0.15/0.51
% 0.15/0.51
% 0.15/0.51 Here is a proof with depth 11, length 37 :
% 0.15/0.51 % SZS output start Refutation
% See solution above
% 0.15/0.51 Formulae used in the proof : prove_AB_D and_definition pickup_1 pickup_2 pickup_3 pickup_4 putdown_1 putdown_2 putdown_4 putdown_5 symmetry_of_differ differ_a_b differ_a_c differ_a_table differ_b_c initial_state3 initial_state5 initial_state6 initial_state7 initial_state8
% 0.15/0.51
%------------------------------------------------------------------------------