TSTP Solution File: GRP703-10 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : GRP703-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n011.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 11:15:11 EDT 2023
% Result : Unsatisfiable 2.98s 1.67s
% Output : Refutation 3.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 24
% Syntax : Number of formulae : 39 ( 29 unt; 10 typ; 0 def)
% Number of atoms : 29 ( 28 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 170 ( 2 ~; 0 |; 0 &; 168 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 48 ( 0 ^; 48 !; 0 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(mult_type,type,
mult: $i > $i > $i ).
thf(op_e_type,type,
op_e: $i ).
thf(x2_type,type,
x2: $i ).
thf(x3_type,type,
x3: $i ).
thf(ld_type,type,
ld: $i > $i > $i ).
thf(rd_type,type,
rd: $i > $i > $i ).
thf(unit_type,type,
unit: $i ).
thf(op_c_type,type,
op_c: $i ).
thf(op_d_type,type,
op_d: $i ).
thf(op_f_type,type,
op_f: $i ).
thf(3,axiom,
! [B: $i,A: $i] :
( ( ld @ A @ ( mult @ A @ B ) )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
thf(20,plain,
! [B: $i,A: $i] :
( ( ld @ A @ ( mult @ A @ B ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( mult @ ( rd @ A @ B ) @ B )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
thf(22,plain,
! [B: $i,A: $i] :
( ( mult @ ( rd @ A @ B ) @ B )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(2,axiom,
! [B: $i,A: $i] :
( ( mult @ A @ ( ld @ A @ B ) )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
thf(18,plain,
! [B: $i,A: $i] :
( ( mult @ A @ ( ld @ A @ B ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(1,negated_conjecture,
( ( mult @ op_e @ ( mult @ x2 @ x3 ) )
!= ( mult @ ( mult @ op_e @ x2 ) @ x3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
thf(15,plain,
( ( mult @ op_e @ ( mult @ x2 @ x3 ) )
!= ( mult @ ( mult @ op_e @ x2 ) @ x3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(14,axiom,
! [B: $i,A: $i] :
( op_f
= ( mult @ A @ ( mult @ B @ ( ld @ ( mult @ A @ B ) @ op_c ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f13) ).
thf(42,plain,
! [B: $i,A: $i] :
( op_f
= ( mult @ A @ ( mult @ B @ ( ld @ ( mult @ A @ B ) @ op_c ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ( rd @ ( mult @ A @ B ) @ B )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
thf(24,plain,
! [B: $i,A: $i] :
( ( rd @ ( mult @ A @ B ) @ B )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,axiom,
! [A: $i] :
( ( mult @ unit @ A )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
thf(28,plain,
! [A: $i] :
( ( mult @ unit @ A )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(12,axiom,
! [A: $i] :
( op_d
= ( ld @ A @ ( mult @ op_c @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f11) ).
thf(38,plain,
! [A: $i] :
( op_d
= ( ld @ A @ ( mult @ op_c @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ( mult @ op_c @ ( mult @ A @ B ) )
= ( mult @ ( mult @ op_c @ A ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f08) ).
thf(32,plain,
! [B: $i,A: $i] :
( ( mult @ op_c @ ( mult @ A @ B ) )
= ( mult @ ( mult @ op_c @ A ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ( mult @ A @ ( mult @ B @ op_c ) )
= ( mult @ ( mult @ A @ B ) @ op_c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f09) ).
thf(34,plain,
! [B: $i,A: $i] :
( ( mult @ A @ ( mult @ B @ op_c ) )
= ( mult @ ( mult @ A @ B ) @ op_c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(13,axiom,
! [B: $i,A: $i] :
( op_e
= ( mult @ ( mult @ ( rd @ op_c @ ( mult @ A @ B ) ) @ B ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f12) ).
thf(40,plain,
! [B: $i,A: $i] :
( op_e
= ( mult @ ( mult @ ( rd @ op_c @ ( mult @ A @ B ) ) @ B ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(6,axiom,
! [A: $i] :
( ( mult @ A @ unit )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
thf(26,plain,
! [A: $i] :
( ( mult @ A @ unit )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(11,axiom,
! [B: $i,A: $i] :
( ( mult @ A @ ( mult @ op_c @ B ) )
= ( mult @ ( mult @ A @ op_c ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f10) ).
thf(36,plain,
! [B: $i,A: $i] :
( ( mult @ A @ ( mult @ op_c @ B ) )
= ( mult @ ( mult @ A @ op_c ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(8,axiom,
! [C: $i,B: $i,A: $i] :
( ( mult @ A @ ( mult @ B @ ( mult @ B @ C ) ) )
= ( mult @ ( mult @ ( mult @ A @ B ) @ B ) @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
thf(30,plain,
! [C: $i,B: $i,A: $i] :
( ( mult @ A @ ( mult @ B @ ( mult @ B @ C ) ) )
= ( mult @ ( mult @ ( mult @ A @ B ) @ B ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(48,plain,
$false,
inference(e,[status(thm)],[20,22,18,15,42,24,28,38,32,34,40,26,36,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP703-10 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.17/0.37 % Computer : n011.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Fri May 19 02:05:49 EDT 2023
% 0.17/0.37 % CPUTime :
% 0.97/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.20/0.98 % [INFO] Parsing done (117ms).
% 1.20/0.99 % [INFO] Running in sequential loop mode.
% 1.76/1.20 % [INFO] eprover registered as external prover.
% 1.76/1.21 % [INFO] cvc4 registered as external prover.
% 1.76/1.21 % [INFO] Scanning for conjecture ...
% 1.87/1.26 % [INFO] Found a conjecture and 13 axioms. Running axiom selection ...
% 1.87/1.28 % [INFO] Axiom selection finished. Selected 13 axioms (removed 0 axioms).
% 1.87/1.30 % [INFO] Problem is propositional (TPTP CNF).
% 1.87/1.30 % [INFO] Type checking passed.
% 1.87/1.31 % [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 ...
% 2.98/1.67 % External prover 'e' found a proof!
% 2.98/1.67 % [INFO] Killing All external provers ...
% 2.98/1.67 % Time passed: 1134ms (effective reasoning time: 678ms)
% 2.98/1.67 % 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)>
% 2.98/1.67 % Axioms used in derivation (13): f08, f03, f07, f10, f06, f11, f05, f01, f12, f02, f13, f04, f09
% 2.98/1.67 % No. of inferences in proof: 29
% 2.98/1.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1134 ms resp. 678 ms w/o parsing
% 3.11/1.74 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.11/1.74 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------