TSTP Solution File: LAT271-2 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : LAT271-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n032.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 23:30:38 EDT 2024
% Result : Unsatisfiable 4.26s 2.30s
% Output : Refutation 4.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 29 ( 10 unt; 12 typ; 0 def)
% Number of atoms : 32 ( 2 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 213 ( 20 ~; 11 |; 0 &; 182 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 8 con; 0-4 aty)
% Number of variables : 30 ( 0 ^ 30 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_lessequals_type,type,
c_lessequals: $i > $i > $i > $o ).
thf(v_S_type,type,
v_S: $i ).
thf(c_Tarski_Ointerval_type,type,
c_Tarski_Ointerval: $i > $i > $i > $i > $i ).
thf(v_r_type,type,
v_r: $i ).
thf(v_a_type,type,
v_a: $i ).
thf(v_b_type,type,
v_b: $i ).
thf(t_a_type,type,
t_a: $i ).
thf(tc_set_type,type,
tc_set: $i > $i ).
thf(c_in_type,type,
c_in: $i > $i > $i > $o ).
thf(v_x_type,type,
v_x: $i ).
thf(c_Pair_type,type,
c_Pair: $i > $i > $i > $i > $i ).
thf(tc_prod_type,type,
tc_prod: $i > $i > $i ).
thf(1,negated_conjecture,
c_lessequals @ v_S @ ( c_Tarski_Ointerval @ v_r @ v_a @ v_b @ t_a ) @ ( tc_set @ t_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(5,plain,
c_lessequals @ v_S @ ( c_Tarski_Ointerval @ v_r @ v_a @ v_b @ t_a ) @ ( tc_set @ t_a ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(4,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ B @ C )
| ~ ( c_lessequals @ B @ ( c_Tarski_Ointerval @ D @ E @ F @ C ) @ ( tc_set @ C ) )
| ( c_in @ ( c_Pair @ E @ A @ C @ C ) @ D @ ( tc_prod @ C @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ia1_M_Ax1_J_A_58_Ar_A_61_61_ATrue_0) ).
thf(9,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ B @ C )
| ~ ( c_lessequals @ B @ ( c_Tarski_Ointerval @ D @ E @ F @ C ) @ ( tc_set @ C ) )
| ( c_in @ ( c_Pair @ E @ A @ C @ C ) @ D @ ( tc_prod @ C @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(10,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ B @ C )
| ~ ( c_lessequals @ B @ ( c_Tarski_Ointerval @ D @ E @ F @ C ) @ ( tc_set @ C ) )
| ( c_in @ ( c_Pair @ E @ A @ C @ C ) @ D @ ( tc_prod @ C @ C ) ) ),
inference(cnf,[status(esa)],[9]) ).
thf(3,negated_conjecture,
~ ( c_in @ ( c_Pair @ v_a @ v_x @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
thf(7,plain,
~ ( c_in @ ( c_Pair @ v_a @ v_x @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,plain,
~ ( c_in @ ( c_Pair @ v_a @ v_x @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(19,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ B @ C )
| ~ ( c_lessequals @ B @ ( c_Tarski_Ointerval @ D @ E @ F @ C ) @ ( tc_set @ C ) )
| ( ( c_in @ ( c_Pair @ E @ A @ C @ C ) @ D @ ( tc_prod @ C @ C ) )
!= ( c_in @ ( c_Pair @ v_a @ v_x @ t_a @ t_a ) @ v_r @ ( tc_prod @ t_a @ t_a ) ) ) ),
inference(paramod_ordered,[status(thm)],[10,8]) ).
thf(20,plain,
! [B: $i,A: $i] :
( ~ ( c_in @ v_x @ A @ t_a )
| ~ ( c_lessequals @ A @ ( c_Tarski_Ointerval @ v_r @ v_a @ B @ t_a ) @ ( tc_set @ t_a ) ) ),
inference(pattern_uni,[status(thm)],[19:[bind(A,$thf( v_x )),bind(B,$thf( B )),bind(C,$thf( t_a )),bind(D,$thf( v_r )),bind(E,$thf( v_a ))]]) ).
thf(23,plain,
! [B: $i,A: $i] :
( ~ ( c_in @ v_x @ A @ t_a )
| ~ ( c_lessequals @ A @ ( c_Tarski_Ointerval @ v_r @ v_a @ B @ t_a ) @ ( tc_set @ t_a ) ) ),
inference(simp,[status(thm)],[20]) ).
thf(24,plain,
! [B: $i,A: $i] :
( ~ ( c_in @ v_x @ A @ t_a )
| ( ( c_lessequals @ v_S @ ( c_Tarski_Ointerval @ v_r @ v_a @ v_b @ t_a ) @ ( tc_set @ t_a ) )
!= ( c_lessequals @ A @ ( c_Tarski_Ointerval @ v_r @ v_a @ B @ t_a ) @ ( tc_set @ t_a ) ) ) ),
inference(paramod_ordered,[status(thm)],[5,23]) ).
thf(25,plain,
~ ( c_in @ v_x @ v_S @ t_a ),
inference(pattern_uni,[status(thm)],[24:[bind(A,$thf( v_S )),bind(B,$thf( v_b ))]]) ).
thf(2,negated_conjecture,
c_in @ v_x @ v_S @ t_a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
thf(6,plain,
c_in @ v_x @ v_S @ t_a,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(48,plain,
~ $true,
inference(rewrite,[status(thm)],[25,6]) ).
thf(49,plain,
$false,
inference(simp,[status(thm)],[48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT271-2 : TPTP v8.2.0. Released v3.2.0.
% 0.11/0.13 % Command : run_Leo-III %s %d
% 0.12/0.33 % Computer : n032.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun May 19 20:24:23 EDT 2024
% 0.12/0.33 % CPUTime :
% 1.00/0.94 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.29/1.09 % [INFO] Parsing done (149ms).
% 1.29/1.10 % [INFO] Running in sequential loop mode.
% 1.85/1.46 % [INFO] nitpick registered as external prover.
% 1.85/1.47 % [INFO] Scanning for conjecture ...
% 2.01/1.56 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 2.01/1.59 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 2.01/1.60 % [INFO] Problem is propositional (TPTP CNF).
% 2.01/1.60 % [INFO] Type checking passed.
% 2.12/1.60 % [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 ...
% 3.39/2.29 % [INFO] Killing All external provers ...
% 3.39/2.29 % Time passed: 1809ms (effective reasoning time: 1181ms)
% 3.39/2.30 % Axioms used in derivation (1): cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ia1_M_Ax1_J_A_58_Ar_A_61_61_ATrue_0
% 3.39/2.30 % No. of inferences in proof: 17
% 4.26/2.30 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1809 ms resp. 1181 ms w/o parsing
% 4.26/2.34 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.26/2.34 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------