TSTP Solution File: COL117-2 by Leo-III---1.7.10
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : COL117-2 : TPTP v8.1.2. Released v3.2.0.
% 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 : Tue May 7 07:29:41 EDT 2024
% Result : Unsatisfiable 2.64s 1.60s
% Output : Refutation 2.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 19
% Syntax : Number of formulae : 26 ( 9 unt; 13 typ; 0 def)
% Number of atoms : 19 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 232 ( 8 ~; 6 |; 0 &; 218 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 13 usr; 10 con; 0-4 aty)
% Number of variables : 16 ( 0 ^ 16 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_in_type,type,
c_in: $i > $i > $i > $o ).
thf(c_Pair_type,type,
c_Pair: $i > $i > $i > $i > $i ).
thf(v_z_type,type,
v_z: $i ).
thf(v_w_type,type,
v_w: $i ).
thf(tc_Comb_Ocomb_type,type,
tc_Comb_Ocomb: $i ).
thf(c_Comb_Oparcontract_type,type,
c_Comb_Oparcontract: $i ).
thf(tc_prod_type,type,
tc_prod: $i > $i > $i ).
thf(v_x_type,type,
v_x: $i ).
thf(v_x_H_type,type,
v_x_H: $i ).
thf(v_ya_type,type,
v_ya: $i ).
thf(v_y_Ha_type,type,
v_y_Ha: $i ).
thf(c_Comb_Ocomb_Oop_A_D_D_type,type,
c_Comb_Ocomb_Oop_A_D_D: $i > $i > $i ).
thf(c_Comb_Ocomb_OS_type,type,
c_Comb_Ocomb_OS: $i ).
thf(4,negated_conjecture,
! [A: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Comb_Ocomb_Oop_A_D_D @ ( c_Comb_Ocomb_Oop_A_D_D @ ( c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OS @ v_x_H ) @ v_y_Ha ) @ v_w ) @ A @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @ c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) )
| ~ ( c_in @ ( c_Pair @ ( c_Comb_Ocomb_Oop_A_D_D @ ( c_Comb_Ocomb_Oop_A_D_D @ v_x @ v_z ) @ ( c_Comb_Ocomb_Oop_A_D_D @ v_ya @ v_z ) ) @ A @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @ c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(10,plain,
! [A: $i] :
( ~ ( c_in @ ( c_Pair @ ( c_Comb_Ocomb_Oop_A_D_D @ ( c_Comb_Ocomb_Oop_A_D_D @ ( c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OS @ v_x_H ) @ v_y_Ha ) @ v_w ) @ A @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @ c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) )
| ~ ( c_in @ ( c_Pair @ ( c_Comb_Ocomb_Oop_A_D_D @ ( c_Comb_Ocomb_Oop_A_D_D @ v_x @ v_z ) @ ( c_Comb_Ocomb_Oop_A_D_D @ v_ya @ v_z ) ) @ A @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @ c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,negated_conjecture,
c_in @ ( c_Pair @ v_ya @ v_y_Ha @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @ c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(9,plain,
c_in @ ( c_Pair @ v_ya @ v_y_Ha @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @ c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ ( c_Pair @ A @ B @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @ c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) )
| ~ ( c_in @ ( c_Pair @ C @ D @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @ c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) )
| ( c_in @ ( c_Pair @ ( c_Comb_Ocomb_Oop_A_D_D @ C @ A ) @ ( c_Comb_Ocomb_Oop_A_D_D @ D @ B ) @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @ c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Comb_Oparcontract_Ointros__4_0) ).
thf(13,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ ( c_Pair @ A @ B @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @ c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) )
| ~ ( c_in @ ( c_Pair @ C @ D @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @ c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) )
| ( c_in @ ( c_Pair @ ( c_Comb_Ocomb_Oop_A_D_D @ C @ A ) @ ( c_Comb_Ocomb_Oop_A_D_D @ D @ B ) @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @ c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
! [C: $i,B: $i,A: $i] : ( c_in @ ( c_Pair @ ( c_Comb_Ocomb_Oop_A_D_D @ ( c_Comb_Ocomb_Oop_A_D_D @ ( c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OS @ A ) @ B ) @ C ) @ ( c_Comb_Ocomb_Oop_A_D_D @ ( c_Comb_Ocomb_Oop_A_D_D @ A @ C ) @ ( c_Comb_Ocomb_Oop_A_D_D @ B @ C ) ) @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @ c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Comb_Oparcontract_Ointros__3_0) ).
thf(12,plain,
! [C: $i,B: $i,A: $i] : ( c_in @ ( c_Pair @ ( c_Comb_Ocomb_Oop_A_D_D @ ( c_Comb_Ocomb_Oop_A_D_D @ ( c_Comb_Ocomb_Oop_A_D_D @ c_Comb_Ocomb_OS @ A ) @ B ) @ C ) @ ( c_Comb_Ocomb_Oop_A_D_D @ ( c_Comb_Ocomb_Oop_A_D_D @ A @ C ) @ ( c_Comb_Ocomb_Oop_A_D_D @ B @ C ) ) @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @ c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,negated_conjecture,
c_in @ ( c_Pair @ v_z @ v_w @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @ c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(7,plain,
c_in @ ( c_Pair @ v_z @ v_w @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @ c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
c_in @ ( c_Pair @ v_x @ v_x_H @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @ c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(8,plain,
c_in @ ( c_Pair @ v_x @ v_x_H @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @ c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(15,plain,
$false,
inference(e,[status(thm)],[10,9,13,12,7,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL117-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.16 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n011.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 : Mon May 6 14:03:10 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.98/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.14/0.99 % [INFO] Parsing done (112ms).
% 1.14/1.00 % [INFO] Running in sequential loop mode.
% 1.75/1.20 % [INFO] eprover registered as external prover.
% 1.75/1.20 % [INFO] cvc4 registered as external prover.
% 1.75/1.21 % [INFO] Scanning for conjecture ...
% 1.86/1.27 % [INFO] Found a conjecture and 2 axioms. Running axiom selection ...
% 1.86/1.30 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 1.86/1.30 % [INFO] Problem is propositional (TPTP CNF).
% 1.86/1.31 % [INFO] Type checking passed.
% 1.86/1.31 % [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 ...
% 2.64/1.59 % External prover 'e' found a proof!
% 2.64/1.59 % [INFO] Killing All external provers ...
% 2.64/1.59 % Time passed: 1051ms (effective reasoning time: 594ms)
% 2.64/1.59 % 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)>
% 2.64/1.59 % Axioms used in derivation (2): cls_Comb_Oparcontract_Ointros__4_0, cls_Comb_Oparcontract_Ointros__3_0
% 2.64/1.59 % No. of inferences in proof: 13
% 2.64/1.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1051 ms resp. 594 ms w/o parsing
% 2.64/1.62 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.64/1.62 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------