TSTP Solution File: PLA017-10 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PLA017-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 96.07s 96.24s
% Output : Refutation 96.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 24 ( 24 unt; 0 nHn; 24 RR)
% Number of literals : 24 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(ifeq(u,u,v,w),v),
file('PLA017-10.p',unknown),
[] ).
cnf(3,axiom,
equal(ifeq(differ(u,table),true__dfg,ifeq(holds(empty,v),true__dfg,ifeq(holds(clear(u),v),true__dfg,holds(holding(u),do(pickup(u),v)),true__dfg),true__dfg),true__dfg),true__dfg),
file('PLA017-10.p',unknown),
[] ).
cnf(6,axiom,
equal(ifeq(differ(u,v),true__dfg,ifeq(holds(clear(u),w),true__dfg,holds(clear(u),do(pickup(v),w)),true__dfg),true__dfg),true__dfg),
file('PLA017-10.p',unknown),
[] ).
cnf(8,axiom,
equal(ifeq(holds(holding(u),v),true__dfg,ifeq(holds(clear(w),v),true__dfg,holds(on(u,w),do(putdown(u,w),v)),true__dfg),true__dfg),true__dfg),
file('PLA017-10.p',unknown),
[] ).
cnf(12,axiom,
equal(ifeq(differ(u,v),true__dfg,differ(v,u),true__dfg),true__dfg),
file('PLA017-10.p',unknown),
[] ).
cnf(14,axiom,
equal(differ(a,c),true__dfg),
file('PLA017-10.p',unknown),
[] ).
cnf(16,axiom,
equal(differ(a,table),true__dfg),
file('PLA017-10.p',unknown),
[] ).
cnf(27,axiom,
equal(holds(clear(a),s0),true__dfg),
file('PLA017-10.p',unknown),
[] ).
cnf(29,axiom,
equal(holds(clear(c),s0),true__dfg),
file('PLA017-10.p',unknown),
[] ).
cnf(30,axiom,
equal(holds(empty,s0),true__dfg),
file('PLA017-10.p',unknown),
[] ).
cnf(32,axiom,
~ equal(holds(on(a,c),u),true__dfg),
file('PLA017-10.p',unknown),
[] ).
cnf(72,plain,
equal(ifeq(true__dfg,true__dfg,differ(c,a),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[14,12]),
[iquote('0:SpR:14.0,12.0')] ).
cnf(90,plain,
equal(differ(c,a),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,72]),
[iquote('0:Rew:1.0,72.0')] ).
cnf(192,plain,
equal(ifeq(differ(c,u),true__dfg,ifeq(true__dfg,true__dfg,holds(clear(c),do(pickup(u),s0)),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[29,6]),
[iquote('0:SpR:29.0,6.0')] ).
cnf(217,plain,
equal(ifeq(differ(c,u),true__dfg,holds(clear(c),do(pickup(u),s0)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,192]),
[iquote('0:Rew:1.0,192.0')] ).
cnf(617,plain,
equal(ifeq(differ(a,table),true__dfg,ifeq(holds(empty,s0),true__dfg,ifeq(true__dfg,true__dfg,holds(holding(a),do(pickup(a),s0)),true__dfg),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[27,3]),
[iquote('0:SpR:27.0,3.0')] ).
cnf(625,plain,
equal(holds(holding(a),do(pickup(a),s0)),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,617,16,30]),
[iquote('0:Rew:1.0,617.0,16.0,617.0,1.0,617.0,30.0,617.0,1.0,617.0')] ).
cnf(637,plain,
equal(ifeq(true__dfg,true__dfg,ifeq(holds(clear(u),do(pickup(a),s0)),true__dfg,holds(on(a,u),do(putdown(a,u),do(pickup(a),s0))),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[625,8]),
[iquote('0:SpR:625.0,8.0')] ).
cnf(645,plain,
equal(ifeq(holds(clear(u),do(pickup(a),s0)),true__dfg,holds(on(a,u),do(putdown(a,u),do(pickup(a),s0))),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,637]),
[iquote('0:Rew:1.0,637.0')] ).
cnf(4904,plain,
equal(ifeq(true__dfg,true__dfg,holds(clear(c),do(pickup(a),s0)),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[90,217]),
[iquote('0:SpR:90.0,217.0')] ).
cnf(4908,plain,
equal(holds(clear(c),do(pickup(a),s0)),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,4904]),
[iquote('0:Rew:1.0,4904.0')] ).
cnf(35641,plain,
equal(ifeq(true__dfg,true__dfg,holds(on(a,c),do(putdown(a,c),do(pickup(a),s0))),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[4908,645]),
[iquote('0:SpR:4908.0,645.0')] ).
cnf(35646,plain,
equal(holds(on(a,c),do(putdown(a,c),do(pickup(a),s0))),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,35641]),
[iquote('0:Rew:1.0,35641.0')] ).
cnf(35647,plain,
$false,
inference(mrr,[status(thm)],[35646,32]),
[iquote('0:MRR:35646.0,32.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PLA017-10 : TPTP v8.1.0. Released v7.3.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n028.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 22:59:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 96.07/96.24
% 96.07/96.24 SPASS V 3.9
% 96.07/96.24 SPASS beiseite: Proof found.
% 96.07/96.24 % SZS status Theorem
% 96.07/96.24 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 96.07/96.24 SPASS derived 18291 clauses, backtracked 0 clauses, performed 0 splits and kept 14973 clauses.
% 96.07/96.24 SPASS allocated 108487 KBytes.
% 96.07/96.24 SPASS spent 0:1:32.55 on the problem.
% 96.07/96.24 0:00:00.03 for the input.
% 96.07/96.24 0:00:00.00 for the FLOTTER CNF translation.
% 96.07/96.24 0:00:00.21 for inferences.
% 96.07/96.24 0:00:00.00 for the backtracking.
% 96.07/96.24 0:1:31.60 for the reduction.
% 96.07/96.24
% 96.07/96.24
% 96.07/96.24 Here is a proof with depth 3, length 24 :
% 96.07/96.24 % SZS output start Refutation
% See solution above
% 96.07/96.24 Formulae used in the proof : ifeq_axiom pickup_1 pickup_4 putdown_2 symmetry_of_differ differ_a_c differ_a_table initial_state5 initial_state7 initial_state8 prove_AC
% 96.07/96.24
%------------------------------------------------------------------------------