TSTP Solution File: GRP657-10 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : GRP657-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n014.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 11:15:01 EDT 2023
% Result : Unsatisfiable 2.54s 1.65s
% Output : Refutation 2.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 12
% Syntax : Number of formulae : 19 ( 13 unt; 6 typ; 0 def)
% Number of atoms : 13 ( 12 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 82 ( 2 ~; 0 |; 0 &; 80 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(tuple_type,type,
tuple: $i > $i > $i ).
thf(mult_type,type,
mult: $i > $i > $i ).
thf(x1_type,type,
x1: $i > $i ).
thf(x1_2_type,type,
x1_2: $i > $i ).
thf(ld_type,type,
ld: $i > $i > $i ).
thf(rd_type,type,
rd: $i > $i > $i ).
thf(2,axiom,
! [B: $i,A: $i] :
( ( mult @ A @ ( ld @ A @ B ) )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
thf(10,plain,
! [B: $i,A: $i] :
( ( mult @ A @ ( ld @ A @ B ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( mult @ ( rd @ A @ B ) @ B )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
thf(14,plain,
! [B: $i,A: $i] :
( ( mult @ ( rd @ A @ B ) @ B )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ( ld @ A @ ( mult @ A @ B ) )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
thf(12,plain,
! [B: $i,A: $i] :
( ( ld @ A @ ( mult @ A @ B ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,negated_conjecture,
! [A: $i] :
( ( tuple @ ( mult @ A @ ( x1 @ A ) ) @ ( mult @ ( x1_2 @ A ) @ A ) )
!= ( tuple @ ( x1 @ A ) @ ( x1_2 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
thf(7,plain,
! [A: $i] :
( ( tuple @ ( mult @ A @ ( x1 @ A ) ) @ ( mult @ ( x1_2 @ A ) @ A ) )
!= ( tuple @ ( x1 @ A ) @ ( x1_2 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(6,axiom,
! [C: $i,B: $i,A: $i] :
( ( mult @ ( mult @ A @ B ) @ ( mult @ C @ A ) )
= ( mult @ A @ ( mult @ ( mult @ B @ C ) @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
thf(18,plain,
! [C: $i,B: $i,A: $i] :
( ( mult @ ( mult @ A @ B ) @ ( mult @ C @ A ) )
= ( mult @ A @ ( mult @ ( mult @ B @ C ) @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ( rd @ ( mult @ A @ B ) @ B )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
thf(16,plain,
! [B: $i,A: $i] :
( ( rd @ ( mult @ A @ B ) @ B )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(20,plain,
$false,
inference(e,[status(thm)],[10,14,12,7,18,16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP657-10 : TPTP v8.1.2. Released v8.1.0.
% 0.13/0.15 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n014.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri May 19 02:04:13 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.93/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.22/0.97 % [INFO] Parsing done (105ms).
% 1.22/0.98 % [INFO] Running in sequential loop mode.
% 1.59/1.17 % [INFO] eprover registered as external prover.
% 1.59/1.18 % [INFO] cvc4 registered as external prover.
% 1.59/1.18 % [INFO] Scanning for conjecture ...
% 1.70/1.23 % [INFO] Found a conjecture and 5 axioms. Running axiom selection ...
% 1.83/1.25 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 1.83/1.26 % [INFO] Problem is propositional (TPTP CNF).
% 1.83/1.26 % [INFO] Type checking passed.
% 1.83/1.26 % [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 ...
% 2.54/1.64 % External prover 'e' found a proof!
% 2.54/1.64 % [INFO] Killing All external provers ...
% 2.54/1.65 % Time passed: 1112ms (effective reasoning time: 667ms)
% 2.54/1.65 % 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)>
% 2.54/1.65 % Axioms used in derivation (5): f03, f02, f05, f04, f01
% 2.54/1.65 % No. of inferences in proof: 13
% 2.54/1.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1112 ms resp. 667 ms w/o parsing
% 2.68/1.68 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.68/1.68 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------