TSTP Solution File: PLA020-1 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : PLA020-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n001.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 : 300s
% DateTime : Fri May 19 11:46:50 EDT 2023
% Result : Unsatisfiable 3.21s 1.72s
% Output : Refutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 47
% Syntax : Number of formulae : 79 ( 41 unt; 16 typ; 0 def)
% Number of atoms : 107 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 450 ( 46 ~; 44 |; 0 &; 360 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 74 ( 0 ^; 74 !; 0 ?; 74 :)
% Comments :
%------------------------------------------------------------------------------
thf(holds_type,type,
holds: $i > $i > $o ).
thf(clear_type,type,
clear: $i > $i ).
thf(d_type,type,
d: $i ).
thf(differ_type,type,
differ: $i > $i > $o ).
thf(b_type,type,
b: $i ).
thf(table_type,type,
table: $i ).
thf(c_type,type,
c: $i ).
thf(a_type,type,
a: $i ).
thf(empty_type,type,
empty: $i ).
thf(s0_type,type,
s0: $i ).
thf(on_type,type,
on: $i > $i > $i ).
thf(do_type,type,
do: $i > $i > $i ).
thf(pickup_type,type,
pickup: $i > $i ).
thf(putdown_type,type,
putdown: $i > $i > $i ).
thf(holding_type,type,
holding: $i > $i ).
thf(and_type,type,
and: $i > $i > $i ).
thf(29,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( holds @ ( clear @ A ) @ ( do @ ( putdown @ B @ C ) @ D ) )
| ~ ( holds @ ( clear @ A ) @ D )
| ~ ( differ @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_5) ).
thf(69,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( holds @ ( clear @ A ) @ ( do @ ( putdown @ B @ C ) @ D ) )
| ~ ( holds @ ( clear @ A ) @ D )
| ~ ( differ @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(20,axiom,
differ @ a @ d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_d) ).
thf(56,plain,
differ @ a @ d,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(17,axiom,
holds @ ( clear @ a ) @ s0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state5) ).
thf(52,plain,
holds @ ( clear @ a ) @ s0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(23,axiom,
! [C: $i,B: $i,A: $i] :
( ( holds @ ( and @ A @ B ) @ C )
| ~ ( holds @ A @ C )
| ~ ( holds @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition) ).
thf(60,plain,
! [C: $i,B: $i,A: $i] :
( ( holds @ ( and @ A @ B ) @ C )
| ~ ( holds @ A @ C )
| ~ ( holds @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ( differ @ A @ B )
| ~ ( differ @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_differ) ).
thf(38,plain,
! [B: $i,A: $i] :
( ( differ @ A @ B )
| ~ ( differ @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(18,axiom,
holds @ ( clear @ c ) @ s0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state7) ).
thf(53,plain,
holds @ ( clear @ c ) @ s0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(8,axiom,
differ @ a @ c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_c) ).
thf(41,plain,
differ @ a @ c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(31,axiom,
! [B: $i,A: $i] :
( ( holds @ ( holding @ A ) @ ( do @ ( pickup @ A ) @ B ) )
| ~ ( holds @ empty @ B )
| ~ ( holds @ ( clear @ A ) @ B )
| ~ ( differ @ A @ table ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_1) ).
thf(73,plain,
! [B: $i,A: $i] :
( ( holds @ ( holding @ A ) @ ( do @ ( pickup @ A ) @ B ) )
| ~ ( holds @ empty @ B )
| ~ ( holds @ ( clear @ A ) @ B )
| ~ ( differ @ A @ table ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(26,axiom,
holds @ ( on @ a @ table ) @ s0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state1) ).
thf(66,plain,
holds @ ( on @ a @ table ) @ s0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(3,axiom,
differ @ b @ c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_b_c) ).
thf(35,plain,
differ @ b @ c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(15,axiom,
! [C: $i,B: $i,A: $i] :
( ( holds @ ( clear @ A ) @ ( do @ ( pickup @ B ) @ C ) )
| ~ ( holds @ ( on @ B @ A ) @ C )
| ~ ( holds @ ( clear @ B ) @ C )
| ~ ( holds @ empty @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_2) ).
thf(48,plain,
! [C: $i,B: $i,A: $i] :
( ( holds @ ( clear @ A ) @ ( do @ ( pickup @ B ) @ C ) )
| ~ ( holds @ ( on @ B @ A ) @ C )
| ~ ( holds @ ( clear @ B ) @ C )
| ~ ( holds @ empty @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(10,axiom,
! [A: $i] : ( holds @ ( clear @ table ) @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clear_table) ).
thf(43,plain,
! [A: $i] : ( holds @ ( clear @ table ) @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(7,axiom,
differ @ c @ table,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_c_table) ).
thf(40,plain,
differ @ c @ table,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(4,axiom,
differ @ a @ b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_b) ).
thf(36,plain,
differ @ a @ b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(9,axiom,
holds @ empty @ s0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state8) ).
thf(42,plain,
holds @ empty @ s0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(5,axiom,
differ @ a @ table,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_table) ).
thf(37,plain,
differ @ a @ table,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(13,axiom,
differ @ b @ d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_b_d) ).
thf(46,plain,
differ @ b @ d,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(21,axiom,
! [C: $i,B: $i,A: $i] :
( ( holds @ ( clear @ A ) @ ( do @ ( pickup @ B ) @ C ) )
| ~ ( holds @ ( clear @ A ) @ C )
| ~ ( differ @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_4) ).
thf(57,plain,
! [C: $i,B: $i,A: $i] :
( ( holds @ ( clear @ A ) @ ( do @ ( pickup @ B ) @ C ) )
| ~ ( holds @ ( clear @ A ) @ C )
| ~ ( differ @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(12,axiom,
holds @ ( on @ b @ table ) @ s0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state2) ).
thf(45,plain,
holds @ ( on @ b @ table ) @ s0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(25,axiom,
! [C: $i,B: $i,A: $i] :
( ( holds @ ( on @ A @ B ) @ ( do @ ( putdown @ A @ B ) @ C ) )
| ~ ( holds @ ( holding @ A ) @ C )
| ~ ( holds @ ( clear @ B ) @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_2) ).
thf(64,plain,
! [C: $i,B: $i,A: $i] :
( ( holds @ ( on @ A @ B ) @ ( do @ ( putdown @ A @ B ) @ C ) )
| ~ ( holds @ ( holding @ A ) @ C )
| ~ ( holds @ ( clear @ B ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(1,negated_conjecture,
! [A: $i] :
~ ( holds @ ( clear @ d ) @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_D) ).
thf(32,plain,
! [A: $i] :
~ ( holds @ ( clear @ d ) @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,axiom,
differ @ b @ table,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_b_table) ).
thf(34,plain,
differ @ b @ table,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(11,axiom,
holds @ ( on @ d @ table ) @ s0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state4) ).
thf(44,plain,
holds @ ( on @ d @ table ) @ s0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(22,axiom,
differ @ c @ d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_c_d) ).
thf(59,plain,
differ @ c @ d,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(30,axiom,
! [C: $i,B: $i,A: $i] :
( ( holds @ empty @ ( do @ ( putdown @ A @ B ) @ C ) )
| ~ ( holds @ ( holding @ A ) @ C )
| ~ ( holds @ ( clear @ B ) @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_1) ).
thf(71,plain,
! [C: $i,B: $i,A: $i] :
( ( holds @ empty @ ( do @ ( putdown @ A @ B ) @ C ) )
| ~ ( holds @ ( holding @ A ) @ C )
| ~ ( holds @ ( clear @ B ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(19,axiom,
! [C: $i,B: $i,A: $i] :
( ( holds @ ( clear @ A ) @ ( do @ ( putdown @ A @ B ) @ C ) )
| ~ ( holds @ ( holding @ A ) @ C )
| ~ ( holds @ ( clear @ B ) @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_3) ).
thf(54,plain,
! [C: $i,B: $i,A: $i] :
( ( holds @ ( clear @ A ) @ ( do @ ( putdown @ A @ B ) @ C ) )
| ~ ( holds @ ( holding @ A ) @ C )
| ~ ( holds @ ( clear @ B ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(16,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( holds @ ( on @ A @ B ) @ ( do @ ( putdown @ C @ D ) @ E ) )
| ~ ( holds @ ( on @ A @ B ) @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_4) ).
thf(50,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( holds @ ( on @ A @ B ) @ ( do @ ( putdown @ C @ D ) @ E ) )
| ~ ( holds @ ( on @ A @ B ) @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(27,axiom,
differ @ d @ table,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_d_table) ).
thf(67,plain,
differ @ d @ table,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(14,axiom,
holds @ ( on @ c @ d ) @ s0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state3) ).
thf(47,plain,
holds @ ( on @ c @ d ) @ s0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(28,axiom,
holds @ ( clear @ b ) @ s0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state6) ).
thf(68,plain,
holds @ ( clear @ b ) @ s0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(24,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( holds @ ( on @ A @ B ) @ ( do @ ( pickup @ C ) @ D ) )
| ~ ( holds @ ( on @ A @ B ) @ D )
| ~ ( differ @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_3) ).
thf(62,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( holds @ ( on @ A @ B ) @ ( do @ ( pickup @ C ) @ D ) )
| ~ ( holds @ ( on @ A @ B ) @ D )
| ~ ( differ @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(75,plain,
$false,
inference(e,[status(thm)],[69,56,52,60,38,53,41,73,66,35,48,43,40,36,42,37,46,57,45,64,32,34,44,59,71,54,50,67,47,68,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PLA020-1 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n001.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu May 18 21:15:51 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.93/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.35/0.98 % [INFO] Parsing done (124ms).
% 1.35/0.98 % [INFO] Running in sequential loop mode.
% 1.75/1.19 % [INFO] eprover registered as external prover.
% 1.75/1.19 % [INFO] cvc4 registered as external prover.
% 1.75/1.19 % [INFO] Scanning for conjecture ...
% 1.91/1.25 % [INFO] Found a conjecture and 30 axioms. Running axiom selection ...
% 1.97/1.30 % [INFO] Axiom selection finished. Selected 30 axioms (removed 0 axioms).
% 2.20/1.32 % [INFO] Problem is propositional (TPTP CNF).
% 2.20/1.33 % [INFO] Type checking passed.
% 2.20/1.33 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 3.21/1.71 % External prover 'e' found a proof!
% 3.21/1.71 % [INFO] Killing All external provers ...
% 3.21/1.72 % Time passed: 1193ms (effective reasoning time: 729ms)
% 3.21/1.72 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 3.21/1.72 % Axioms used in derivation (30): differ_a_table, initial_state7, differ_b_table, initial_state4, pickup_4, putdown_2, initial_state5, clear_table, initial_state6, differ_a_b, differ_c_table, initial_state2, putdown_4, initial_state8, pickup_1, initial_state3, putdown_3, differ_b_c, differ_b_d, and_definition, initial_state1, differ_a_c, pickup_3, differ_d_table, differ_a_d, putdown_5, putdown_1, symmetry_of_differ, differ_c_d, pickup_2
% 3.21/1.72 % No. of inferences in proof: 63
% 3.21/1.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1193 ms resp. 729 ms w/o parsing
% 3.57/1.81 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.57/1.81 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------