%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PLA017-1 : 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 17:32:20 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 18 ( 8 unt; 0 nHn; 18 RR)
% Number of literals : 38 ( 0 equ; 27 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ holds(on(a,c),u),
file('PLA017-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ differ(u,table)
| ~ holds(empty,v)
| ~ holds(clear(u),v)
| holds(holding(u),do(pickup(u),v)) ),
file('PLA017-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ differ(u,v)
| ~ holds(clear(u),w)
| holds(clear(u),do(pickup(v),w)) ),
file('PLA017-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ holds(clear(u),v)
| ~ holds(holding(w),v)
| holds(on(w,u),do(putdown(w,u),v)) ),
file('PLA017-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ differ(u,v)
| differ(v,u) ),
file('PLA017-1.p',unknown),
[] ).
cnf(14,axiom,
differ(a,c),
file('PLA017-1.p',unknown),
[] ).
cnf(16,axiom,
differ(a,table),
file('PLA017-1.p',unknown),
[] ).
cnf(27,axiom,
holds(clear(a),s0),
file('PLA017-1.p',unknown),
[] ).
cnf(29,axiom,
holds(clear(c),s0),
file('PLA017-1.p',unknown),
[] ).
cnf(30,axiom,
holds(empty,s0),
file('PLA017-1.p',unknown),
[] ).
cnf(34,plain,
( ~ holds(clear(c),u)
| ~ holds(holding(a),u) ),
inference(res,[status(thm),theory(equality)],[8,1]),
[iquote('0:Res:8.2,1.0')] ).
cnf(43,plain,
differ(c,a),
inference(res,[status(thm),theory(equality)],[14,12]),
[iquote('0:Res:14.0,12.0')] ).
cnf(58,plain,
( ~ differ(a,table)
| ~ holds(empty,u)
| ~ holds(clear(a),u)
| ~ holds(clear(c),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(c),do(pickup(a),u)) ),
inference(mrr,[status(thm)],[58,16]),
[iquote('0:MRR:58.0,16.0')] ).
cnf(60,plain,
( ~ differ(c,a)
| ~ holds(clear(c),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(c),u)
| ~ holds(empty,u)
| ~ holds(clear(a),u) ),
inference(mrr,[status(thm)],[60,43]),
[iquote('0:MRR:60.0,43.0')] ).
cnf(62,plain,
( ~ holds(clear(c),s0)
| ~ holds(empty,s0) ),
inference(res,[status(thm),theory(equality)],[27,61]),
[iquote('0:Res:27.0,61.2')] ).
cnf(66,plain,
$false,
inference(mrr,[status(thm)],[62,29,30]),
[iquote('0:MRR:62.0,62.1,29.0,30.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PLA017-1 : 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 : Wed Jun 1 00:08:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.41
% 0.19/0.41 SPASS V 3.9
% 0.19/0.41 SPASS beiseite: Proof found.
% 0.19/0.41 % SZS status Theorem
% 0.19/0.41 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 SPASS derived 32 clauses, backtracked 0 clauses, performed 0 splits and kept 48 clauses.
% 0.19/0.41 SPASS allocated 63148 KBytes.
% 0.19/0.41 SPASS spent 0:00:00.06 on the problem.
% 0.19/0.41 0:00:00.03 for the input.
% 0.19/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.41 0:00:00.00 for inferences.
% 0.19/0.41 0:00:00.00 for the backtracking.
% 0.19/0.41 0:00:00.00 for the reduction.
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 Here is a proof with depth 4, length 18 :
% 0.19/0.41 % SZS output start Refutation
% See solution above
% 0.19/0.41 Formulae used in the proof : prove_AC pickup_1 pickup_4 putdown_2 symmetry_of_differ differ_a_c differ_a_table initial_state5 initial_state7 initial_state8
% 0.19/0.41
%------------------------------------------------------------------------------