TSTP Solution File: PLA002-1 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : PLA002-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n020.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 : Tue May 21 02:20:00 EDT 2024
% Result : Unsatisfiable 13.00s 3.82s
% Output : Refutation 13.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 21
% Syntax : Number of formulae : 55 ( 11 unt; 13 typ; 0 def)
% Number of atoms : 95 ( 5 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 277 ( 45 ~; 43 |; 0 &; 189 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 49 ( 0 ^ 49 !; 0 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
thf(at_type,type,
at: $i > $i > $o ).
thf(a_type,type,
a: $i ).
thf(warm_type,type,
warm: $i > $o ).
thf(cold_type,type,
cold: $i > $o ).
thf(b_type,type,
b: $i ).
thf(walk_type,type,
walk: $i > $i > $i ).
thf(f_type,type,
f: $i ).
thf(s0_type,type,
s0: $i ).
thf(c_type,type,
c: $i ).
thf(skate_type,type,
skate: $i > $i > $i ).
thf(d_type,type,
d: $i ).
thf(go_type,type,
go: $i > $i > $i ).
thf(climb_type,type,
climb: $i > $i > $i ).
thf(4,axiom,
at @ f @ s0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial) ).
thf(24,plain,
at @ f @ s0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(15,axiom,
! [A: $i] :
( ~ ( at @ f @ A )
| ( at @ d @ ( go @ d @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',go_f_to_d) ).
thf(45,plain,
! [A: $i] :
( ~ ( at @ f @ A )
| ( at @ d @ ( go @ d @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(46,plain,
! [A: $i] :
( ~ ( at @ f @ A )
| ( at @ d @ ( go @ d @ A ) ) ),
inference(cnf,[status(esa)],[45]) ).
thf(898,plain,
! [A: $i] :
( ( at @ d @ ( go @ d @ A ) )
| ( ( at @ f @ s0 )
!= ( at @ f @ A ) ) ),
inference(paramod_ordered,[status(thm)],[24,46]) ).
thf(899,plain,
at @ d @ ( go @ d @ s0 ),
inference(pattern_uni,[status(thm)],[898:[bind(A,$thf( s0 ))]]) ).
thf(9,axiom,
! [A: $i] :
( ~ ( warm @ A )
| ~ ( at @ d @ A )
| ( at @ b @ ( climb @ b @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',climb_mountain_d_to_b) ).
thf(33,plain,
! [A: $i] :
( ~ ( warm @ A )
| ~ ( at @ d @ A )
| ( at @ b @ ( climb @ b @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(34,plain,
! [A: $i] :
( ~ ( warm @ A )
| ~ ( at @ d @ A )
| ( at @ b @ ( climb @ b @ A ) ) ),
inference(cnf,[status(esa)],[33]) ).
thf(3,axiom,
! [A: $i] :
( ~ ( at @ b @ A )
| ( at @ a @ ( walk @ a @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',walk_b_to_a) ).
thf(22,plain,
! [A: $i] :
( ~ ( at @ b @ A )
| ( at @ a @ ( walk @ a @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(23,plain,
! [A: $i] :
( ~ ( at @ b @ A )
| ( at @ a @ ( walk @ a @ A ) ) ),
inference(cnf,[status(esa)],[22]) ).
thf(1,negated_conjecture,
! [A: $i] :
~ ( at @ a @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_you_can_get_to_a) ).
thf(18,plain,
! [A: $i] :
~ ( at @ a @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(19,plain,
! [A: $i] :
~ ( at @ a @ A ),
inference(polarity_switch,[status(thm)],[18]) ).
thf(93,plain,
! [A: $i] :
( ~ ( at @ b @ A )
| $false ),
inference(rewrite,[status(thm)],[23,19]) ).
thf(94,plain,
! [A: $i] :
~ ( at @ b @ A ),
inference(simp,[status(thm)],[93]) ).
thf(296,plain,
! [A: $i] :
( ~ ( warm @ A )
| ~ ( at @ d @ A )
| $false ),
inference(rewrite,[status(thm)],[34,94]) ).
thf(297,plain,
! [A: $i] :
( ~ ( warm @ A )
| ~ ( at @ d @ A ) ),
inference(simp,[status(thm)],[296]) ).
thf(1004,plain,
! [A: $i] :
( ~ ( warm @ A )
| ( ( at @ d @ ( go @ d @ s0 ) )
!= ( at @ d @ A ) ) ),
inference(paramod_ordered,[status(thm)],[899,297]) ).
thf(1005,plain,
~ ( warm @ ( go @ d @ s0 ) ),
inference(pattern_uni,[status(thm)],[1004:[bind(A,$thf( go @ d @ s0 ))]]) ).
thf(6,axiom,
! [A: $i] :
( ~ ( at @ d @ A )
| ( at @ c @ ( go @ c @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',go_d_to_c) ).
thf(27,plain,
! [A: $i] :
( ~ ( at @ d @ A )
| ( at @ c @ ( go @ c @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(28,plain,
! [A: $i] :
( ~ ( at @ d @ A )
| ( at @ c @ ( go @ c @ A ) ) ),
inference(cnf,[status(esa)],[27]) ).
thf(2,axiom,
! [B: $i,A: $i] :
( ( warm @ A )
| ( cold @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',warm_or_cold) ).
thf(20,plain,
! [B: $i,A: $i] :
( ( warm @ A )
| ( cold @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(21,plain,
! [B: $i,A: $i] :
( ( warm @ A )
| ( cold @ B ) ),
inference(cnf,[status(esa)],[20]) ).
thf(5,axiom,
! [A: $i] :
( ~ ( cold @ A )
| ~ ( at @ c @ A )
| ( at @ b @ ( skate @ b @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cross_river_c_to_b) ).
thf(25,plain,
! [A: $i] :
( ~ ( cold @ A )
| ~ ( at @ c @ A )
| ( at @ b @ ( skate @ b @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(26,plain,
! [A: $i] :
( ~ ( cold @ A )
| ~ ( at @ c @ A )
| ( at @ b @ ( skate @ b @ A ) ) ),
inference(cnf,[status(esa)],[25]) ).
thf(55,plain,
! [C: $i,B: $i,A: $i] :
( ( warm @ A )
| ~ ( at @ c @ C )
| ( at @ b @ ( skate @ b @ C ) )
| ( ( cold @ B )
!= ( cold @ C ) ) ),
inference(paramod_ordered,[status(thm)],[21,26]) ).
thf(56,plain,
! [B: $i,A: $i] :
( ( warm @ A )
| ~ ( at @ c @ B )
| ( at @ b @ ( skate @ b @ B ) ) ),
inference(pattern_uni,[status(thm)],[55:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B ))]]) ).
thf(95,plain,
! [B: $i,A: $i] :
( ( warm @ A )
| ~ ( at @ c @ B )
| $false ),
inference(rewrite,[status(thm)],[56,94]) ).
thf(96,plain,
! [B: $i,A: $i] :
( ( warm @ A )
| ~ ( at @ c @ B ) ),
inference(simp,[status(thm)],[95]) ).
thf(120,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( at @ d @ A )
| ( warm @ B )
| ( ( at @ c @ ( go @ c @ A ) )
!= ( at @ c @ C ) ) ),
inference(paramod_ordered,[status(thm)],[28,96]) ).
thf(121,plain,
! [B: $i,A: $i] :
( ~ ( at @ d @ B )
| ( warm @ A ) ),
inference(pattern_uni,[status(thm)],[120:[bind(A,$thf( E )),bind(B,$thf( B )),bind(C,$thf( go @ c @ E ))]]) ).
thf(127,plain,
! [B: $i,A: $i] :
( ~ ( at @ d @ B )
| ( warm @ A ) ),
inference(simp,[status(thm)],[121]) ).
thf(1017,plain,
! [B: $i,A: $i] :
( ( warm @ A )
| ( ( at @ d @ ( go @ d @ s0 ) )
!= ( at @ d @ B ) ) ),
inference(paramod_ordered,[status(thm)],[899,127]) ).
thf(1018,plain,
! [A: $i] : ( warm @ A ),
inference(pattern_uni,[status(thm)],[1017:[bind(A,$thf( A )),bind(B,$thf( go @ d @ s0 ))]]) ).
thf(1116,plain,
~ $true,
inference(rewrite,[status(thm)],[1005,1018]) ).
thf(1117,plain,
$false,
inference(simp,[status(thm)],[1116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : PLA002-1 : TPTP v8.2.0. Released v1.0.0.
% 0.03/0.13 % Command : run_Leo-III %s %d
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat May 18 13:30:54 EDT 2024
% 0.13/0.33 % CPUTime :
% 1.02/0.97 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.26/1.14 % [INFO] Parsing done (166ms).
% 1.42/1.15 % [INFO] Running in sequential loop mode.
% 1.88/1.52 % [INFO] nitpick registered as external prover.
% 1.88/1.52 % [INFO] Scanning for conjecture ...
% 2.02/1.61 % [INFO] Found a conjecture (or negated_conjecture) and 16 axioms. Running axiom selection ...
% 2.14/1.67 % [INFO] Axiom selection finished. Selected 16 axioms (removed 0 axioms).
% 2.30/1.70 % [INFO] Problem is propositional (TPTP CNF).
% 2.30/1.70 % [INFO] Type checking passed.
% 2.30/1.71 % [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 ...
% 13.00/3.80 % [INFO] Killing All external provers ...
% 13.00/3.81 % Time passed: 3324ms (effective reasoning time: 2650ms)
% 13.00/3.82 % Axioms used in derivation (7): initial, go_d_to_c, go_f_to_d, walk_b_to_a, climb_mountain_d_to_b, cross_river_c_to_b, warm_or_cold
% 13.00/3.82 % No. of inferences in proof: 42
% 13.00/3.82 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 3324 ms resp. 2650 ms w/o parsing
% 13.11/3.95 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.11/3.95 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------