TSTP Solution File: GRP715-10 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : GRP715-10 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n009.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 : Mon May 20 21:02:37 EDT 2024
% Result : Unsatisfiable 9.52s 3.59s
% Output : Refutation 9.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 20
% Syntax : Number of formulae : 33 ( 25 unt; 8 typ; 0 def)
% Number of atoms : 25 ( 24 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 120 ( 2 ~; 0 |; 0 &; 118 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 34 ( 0 ^ 34 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(mult_type,type,
mult: $i > $i > $i ).
thf(x0_type,type,
x0: $i ).
thf(op_a_type,type,
op_a: $i ).
thf(op_b_type,type,
op_b: $i ).
thf(plus_type,type,
plus: $i > $i > $i ).
thf(op_0_type,type,
op_0: $i ).
thf(minus_type,type,
minus: $i > $i ).
thf(unit_type,type,
unit: $i ).
thf(6,axiom,
! [C: $i,B: $i,A: $i] :
( ( mult @ A @ ( plus @ B @ C ) )
= ( plus @ ( mult @ A @ B ) @ ( mult @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
thf(24,plain,
! [C: $i,B: $i,A: $i] :
( ( mult @ A @ ( plus @ B @ C ) )
= ( plus @ ( mult @ A @ B ) @ ( mult @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
! [A: $i] :
( ( plus @ A @ op_0 )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
thf(20,plain,
! [A: $i] :
( ( plus @ A @ op_0 )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ( mult @ A @ ( mult @ B @ B ) )
= ( mult @ ( mult @ A @ B ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
thf(28,plain,
! [B: $i,A: $i] :
( ( mult @ A @ ( mult @ B @ B ) )
= ( mult @ ( mult @ A @ B ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(1,negated_conjecture,
( ( mult @ ( mult @ x0 @ op_a ) @ op_b )
!= x0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
thf(13,plain,
( ( mult @ ( mult @ x0 @ op_a ) @ op_b )
!= x0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(5,axiom,
! [A: $i] :
( ( plus @ A @ ( minus @ A ) )
= op_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
thf(22,plain,
! [A: $i] :
( ( plus @ A @ ( minus @ A ) )
= op_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ( plus @ A @ B )
= ( plus @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
thf(18,plain,
! [B: $i,A: $i] :
( ( plus @ A @ B )
= ( plus @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(2,axiom,
! [C: $i,B: $i,A: $i] :
( ( plus @ ( plus @ A @ B ) @ C )
= ( plus @ A @ ( plus @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
thf(16,plain,
! [C: $i,B: $i,A: $i] :
( ( plus @ ( plus @ A @ B ) @ C )
= ( plus @ A @ ( plus @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,axiom,
! [C: $i,B: $i,A: $i] :
( ( mult @ ( mult @ ( mult @ A @ B ) @ C ) @ B )
= ( mult @ A @ ( mult @ ( mult @ B @ C ) @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
thf(26,plain,
! [C: $i,B: $i,A: $i] :
( ( mult @ ( mult @ ( mult @ A @ B ) @ C ) @ B )
= ( mult @ A @ ( mult @ ( mult @ B @ C ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(10,axiom,
! [A: $i] :
( ( mult @ unit @ A )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f09) ).
thf(32,plain,
! [A: $i] :
( ( mult @ unit @ A )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(11,axiom,
( ( mult @ op_a @ op_b )
= unit ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f10) ).
thf(34,plain,
( ( mult @ op_a @ op_b )
= unit ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(12,axiom,
( ( mult @ op_b @ op_a )
= unit ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f11) ).
thf(36,plain,
( ( mult @ op_b @ op_a )
= unit ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(9,axiom,
! [A: $i] :
( ( mult @ A @ unit )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
thf(30,plain,
! [A: $i] :
( ( mult @ A @ unit )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(640,plain,
$false,
inference(e,[status(thm)],[24,20,28,13,22,18,16,26,32,34,36,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP715-10 : TPTP v8.2.0. Released v8.1.0.
% 0.10/0.13 % Command : run_Leo-III %s %d
% 0.13/0.33 % Computer : n009.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 : Sun May 19 05:51:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 1.01/0.97 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.34/1.15 % [INFO] Parsing done (173ms).
% 1.34/1.16 % [INFO] Running in sequential loop mode.
% 1.93/1.60 % [INFO] eprover registered as external prover.
% 1.93/1.60 % [INFO] cvc4 registered as external prover.
% 1.93/1.61 % [INFO] Scanning for conjecture ...
% 2.27/1.70 % [INFO] Found a conjecture (or negated_conjecture) and 11 axioms. Running axiom selection ...
% 2.27/1.74 % [INFO] Axiom selection finished. Selected 11 axioms (removed 0 axioms).
% 2.27/1.76 % [INFO] Problem is propositional (TPTP CNF).
% 2.27/1.77 % [INFO] Type checking passed.
% 2.27/1.77 % [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 ...
% 9.52/3.58 % External prover 'e' found a proof!
% 9.52/3.58 % [INFO] Killing All external provers ...
% 9.52/3.58 % Time passed: 3090ms (effective reasoning time: 2415ms)
% 9.52/3.58 % Axioms used in derivation (11): f08, f03, f02, f07, f10, f06, f11, f05, f01, f04, f09
% 9.52/3.58 % No. of inferences in proof: 25
% 9.52/3.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3090 ms resp. 2415 ms w/o parsing
% 9.52/3.62 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.52/3.62 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------