TSTP Solution File: NUM795^1 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : NUM795^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n025.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 10:45:46 EDT 2024
% Result : Theorem 4.22s 1.93s
% Output : Refutation 4.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 43 ( 13 unt; 10 typ; 0 def)
% Number of atoms : 68 ( 5 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 218 ( 15 ~; 13 |; 0 &; 178 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 50 ( 0 ^ 50 !; 0 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
thf(rat_type,type,
rat: $tType ).
thf(x0_type,type,
x0: rat ).
thf(y0_type,type,
y0: rat ).
thf(z0_type,type,
z0: rat ).
thf(u0_type,type,
u0: rat ).
thf(lessis_type,type,
lessis: rat > rat > $o ).
thf(less_type,type,
less: rat > rat > $o ).
thf(pl_type,type,
pl: rat > rat > rat ).
thf(more_type,type,
more: rat > rat > $o ).
thf(moreis_type,type,
moreis: rat > rat > $o ).
thf(4,axiom,
less @ z0 @ u0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k) ).
thf(11,plain,
less @ z0 @ u0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(8,axiom,
! [A: rat,B: rat] :
( ( less @ A @ B )
=> ( more @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz83) ).
thf(19,plain,
! [A: rat,B: rat] :
( ( less @ A @ B )
=> ( more @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(20,plain,
! [B: rat,A: rat] :
( ~ ( less @ A @ B )
| ( more @ B @ A ) ),
inference(cnf,[status(esa)],[19]) ).
thf(70,plain,
! [B: rat,A: rat] :
( ( more @ B @ A )
| ( ( less @ z0 @ u0 )
!= ( less @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[11,20]) ).
thf(71,plain,
more @ u0 @ z0,
inference(pattern_uni,[status(thm)],[70:[bind(A,$thf( z0 )),bind(B,$thf( u0 ))]]) ).
thf(3,axiom,
lessis @ x0 @ y0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l) ).
thf(10,plain,
lessis @ x0 @ y0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(7,axiom,
! [A: rat,B: rat] :
( ( lessis @ A @ B )
=> ( moreis @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz85) ).
thf(17,plain,
! [A: rat,B: rat] :
( ( lessis @ A @ B )
=> ( moreis @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(18,plain,
! [B: rat,A: rat] :
( ~ ( lessis @ A @ B )
| ( moreis @ B @ A ) ),
inference(cnf,[status(esa)],[17]) ).
thf(44,plain,
! [B: rat,A: rat] :
( ( moreis @ B @ A )
| ( ( lessis @ x0 @ y0 )
!= ( lessis @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[10,18]) ).
thf(45,plain,
moreis @ y0 @ x0,
inference(pattern_uni,[status(thm)],[44:[bind(A,$thf( x0 )),bind(B,$thf( y0 ))]]) ).
thf(6,axiom,
! [A: rat,B: rat,C: rat,D: rat] :
( ( moreis @ A @ B )
=> ( ( more @ C @ D )
=> ( more @ ( pl @ A @ C ) @ ( pl @ B @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz99a) ).
thf(14,plain,
! [A: rat,B: rat,C: rat,D: rat] :
( ( moreis @ A @ B )
=> ( ( more @ C @ D )
=> ( more @ ( pl @ A @ C ) @ ( pl @ B @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(15,plain,
! [A: rat,B: rat] :
( ( moreis @ A @ B )
=> ! [C: rat,D: rat] :
( ( more @ C @ D )
=> ( more @ ( pl @ A @ C ) @ ( pl @ B @ D ) ) ) ),
inference(miniscope,[status(thm)],[14]) ).
thf(16,plain,
! [D: rat,C: rat,B: rat,A: rat] :
( ~ ( moreis @ A @ B )
| ~ ( more @ C @ D )
| ( more @ ( pl @ A @ C ) @ ( pl @ B @ D ) ) ),
inference(cnf,[status(esa)],[15]) ).
thf(59,plain,
! [D: rat,C: rat,B: rat,A: rat] :
( ~ ( more @ C @ D )
| ( more @ ( pl @ A @ C ) @ ( pl @ B @ D ) )
| ( ( moreis @ y0 @ x0 )
!= ( moreis @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[45,16]) ).
thf(60,plain,
! [B: rat,A: rat] :
( ~ ( more @ A @ B )
| ( more @ ( pl @ y0 @ A ) @ ( pl @ x0 @ B ) ) ),
inference(pattern_uni,[status(thm)],[59:[bind(A,$thf( y0 )),bind(B,$thf( x0 ))]]) ).
thf(63,plain,
! [B: rat,A: rat] :
( ~ ( more @ A @ B )
| ( more @ ( pl @ y0 @ A ) @ ( pl @ x0 @ B ) ) ),
inference(simp,[status(thm)],[60]) ).
thf(88,plain,
! [B: rat,A: rat] :
( ( more @ ( pl @ y0 @ A ) @ ( pl @ x0 @ B ) )
| ( ( more @ u0 @ z0 )
!= ( more @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[71,63]) ).
thf(89,plain,
more @ ( pl @ y0 @ u0 ) @ ( pl @ x0 @ z0 ),
inference(pattern_uni,[status(thm)],[88:[bind(A,$thf( u0 )),bind(B,$thf( z0 ))]]) ).
thf(5,axiom,
! [A: rat,B: rat] :
( ( more @ A @ B )
=> ( less @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz82) ).
thf(12,plain,
! [A: rat,B: rat] :
( ( more @ A @ B )
=> ( less @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(13,plain,
! [B: rat,A: rat] :
( ~ ( more @ A @ B )
| ( less @ B @ A ) ),
inference(cnf,[status(esa)],[12]) ).
thf(104,plain,
! [B: rat,A: rat] :
( ( less @ B @ A )
| ( ( more @ ( pl @ y0 @ u0 ) @ ( pl @ x0 @ z0 ) )
!= ( more @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[89,13]) ).
thf(105,plain,
less @ ( pl @ x0 @ z0 ) @ ( pl @ y0 @ u0 ),
inference(pattern_uni,[status(thm)],[104:[bind(A,$thf( pl @ y0 @ u0 )),bind(B,$thf( pl @ x0 @ z0 ))]]) ).
thf(1,conjecture,
less @ ( pl @ x0 @ z0 ) @ ( pl @ y0 @ u0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz99c) ).
thf(2,negated_conjecture,
~ ( less @ ( pl @ x0 @ z0 ) @ ( pl @ y0 @ u0 ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(9,plain,
~ ( less @ ( pl @ x0 @ z0 ) @ ( pl @ y0 @ u0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(111,plain,
$false,
inference(rewrite,[status(thm)],[105,9]) ).
thf(112,plain,
$false,
inference(simp,[status(thm)],[111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM795^1 : TPTP v8.1.2. Released v3.7.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 6 19:47:09 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.89/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.19/0.95 % [INFO] Parsing done (114ms).
% 1.19/0.96 % [INFO] Running in sequential loop mode.
% 1.52/1.16 % [INFO] nitpick registered as external prover.
% 1.52/1.17 % [INFO] Scanning for conjecture ...
% 1.71/1.22 % [INFO] Found a conjecture and 6 axioms. Running axiom selection ...
% 1.83/1.24 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 1.83/1.25 % [INFO] Problem is higher-order (TPTP THF).
% 1.83/1.25 % [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 ...
% 4.22/1.92 % [INFO] Killing All external provers ...
% 4.22/1.93 % Time passed: 1407ms (effective reasoning time: 959ms)
% 4.22/1.93 % 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)>
% 4.22/1.93 % Axioms used in derivation (6): satz99a, satz83, l, satz82, k, satz85
% 4.22/1.93 % No. of inferences in proof: 33
% 4.22/1.93 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1407 ms resp. 959 ms w/o parsing
% 4.22/1.96 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.22/1.96 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------