TSTP Solution File: CSR147+1 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : CSR147+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n005.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 7 07:39:00 EDT 2024
% Result : Theorem 2.66s 1.70s
% Output : Refutation 2.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 25
% Syntax : Number of formulae : 41 ( 22 unt; 11 typ; 0 def)
% Number of atoms : 50 ( 6 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 102 ( 4 ~; 2 |; 6 &; 78 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 0 ^ 14 !; 4 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(s__more_experienced_type,type,
s__more_experienced: $i > $i > $o ).
thf(jim_type,type,
jim: $i ).
thf(geoff_type,type,
geoff: $i ).
thf(s__Human_type,type,
s__Human: $i > $o ).
thf(s__LivingThing_type,type,
s__LivingThing: $i > $o ).
thf(s__siblingFn_type,type,
s__siblingFn: $i > $i ).
thf(s__age_type,type,
s__age: $i > $i > $o ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(s__has_seen_more_type,type,
s__has_seen_more: $i > $i > $o ).
thf(n48_type,type,
n48: $i ).
thf(n54_type,type,
n54: $i ).
thf(5,axiom,
! [A: $i] :
( ( s__Human @ A )
=> ( s__LivingThing @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',humans_are_living) ).
thf(21,plain,
! [A: $i] :
( ( s__Human @ A )
=> ( s__LivingThing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( s__Human @ A )
=> ( ( ( s__age @ A @ B )
& ( s__age @ ( s__siblingFn @ A ) @ C )
& ( greater @ B @ C ) )
=> ( ( s__more_experienced @ A @ ( s__siblingFn @ A ) )
| ( s__has_seen_more @ ( s__siblingFn @ A ) @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',experience) ).
thf(27,plain,
! [A: $i,B: $i,C: $i] :
( ( s__Human @ A )
=> ( ( ( s__age @ A @ B )
& ( s__age @ ( s__siblingFn @ A ) @ C )
& ( greater @ B @ C ) )
=> ( ( s__more_experienced @ A @ ( s__siblingFn @ A ) )
| ( s__has_seen_more @ ( s__siblingFn @ A ) @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(15,axiom,
~ ( s__has_seen_more @ geoff @ jim ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jim_has_seen_more) ).
thf(39,plain,
~ ( s__has_seen_more @ geoff @ jim ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(12,axiom,
s__age @ jim @ n54,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jim_54) ).
thf(35,plain,
s__age @ jim @ n54,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(1,conjecture,
s__more_experienced @ jim @ geoff,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jim_is_experienced) ).
thf(2,negated_conjecture,
~ ( s__more_experienced @ jim @ geoff ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(16,plain,
~ ( s__more_experienced @ jim @ geoff ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,axiom,
s__Human @ geoff,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',geoff_human) ).
thf(23,plain,
s__Human @ geoff,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(7,axiom,
s__Human @ jim,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',jim_human) ).
thf(24,plain,
s__Human @ jim,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(14,axiom,
( geoff
= ( s__siblingFn @ jim ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',geoff_and_jim) ).
thf(37,plain,
( geoff
= ( s__siblingFn @ jim ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(8,axiom,
! [A: $i] :
( ( s__Human @ A )
=> ( s__Human @ ( s__siblingFn @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sibling_type) ).
thf(25,plain,
! [A: $i] :
( ( s__Human @ A )
=> ( s__Human @ ( s__siblingFn @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(11,axiom,
s__age @ geoff @ n48,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',geoff_48) ).
thf(34,plain,
s__age @ geoff @ n48,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(3,axiom,
? [A: $i] : ( s__Human @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',human_type) ).
thf(17,plain,
? [A: $i] : ( s__Human @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(13,axiom,
greater @ n54 @ n48,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greater_54_48) ).
thf(36,plain,
greater @ n54 @ n48,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( ( s__Human @ A )
& ( s__Human @ B ) )
=> ( ( A
= ( s__siblingFn @ B ) )
=> ( B
= ( s__siblingFn @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sibling_symmetry) ).
thf(30,plain,
! [A: $i,B: $i] :
( ( ( s__Human @ A )
& ( s__Human @ B ) )
=> ( ( A
= ( s__siblingFn @ B ) )
=> ( B
= ( s__siblingFn @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(4,axiom,
? [A: $i] : ( s__LivingThing @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',living_type) ).
thf(19,plain,
? [A: $i] : ( s__LivingThing @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(41,plain,
$false,
inference(e,[status(thm)],[21,27,39,35,16,23,24,37,25,34,17,36,30,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : CSR147+1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n005.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon May 6 15:35:10 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.95/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.21/1.00 % [INFO] Parsing done (127ms).
% 1.21/1.01 % [INFO] Running in sequential loop mode.
% 1.68/1.23 % [INFO] eprover registered as external prover.
% 1.68/1.23 % [INFO] cvc4 registered as external prover.
% 1.68/1.24 % [INFO] Scanning for conjecture ...
% 1.81/1.29 % [INFO] Found a conjecture and 13 axioms. Running axiom selection ...
% 1.81/1.31 % [INFO] Axiom selection finished. Selected 13 axioms (removed 0 axioms).
% 1.81/1.33 % [INFO] Problem is first-order (TPTP FOF).
% 1.81/1.33 % [INFO] Type checking passed.
% 1.81/1.33 % [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 ...
% 2.66/1.69 % External prover 'e' found a proof!
% 2.66/1.69 % [INFO] Killing All external provers ...
% 2.66/1.70 % Time passed: 1160ms (effective reasoning time: 686ms)
% 2.66/1.70 % 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)>
% 2.66/1.70 % Axioms used in derivation (13): geoff_human, jim_has_seen_more, jim_human, geoff_48, living_type, experience, human_type, sibling_type, geoff_and_jim, humans_are_living, jim_54, greater_54_48, sibling_symmetry
% 2.66/1.70 % No. of inferences in proof: 30
% 2.66/1.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1160 ms resp. 686 ms w/o parsing
% 2.92/1.77 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.92/1.77 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------