TSTP Solution File: COL105-2 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : COL105-2 : TPTP v8.1.2. Released v3.2.0.
% 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 : Tue May 7 07:29:37 EDT 2024
% Result : Unsatisfiable 2.53s 1.62s
% Output : Refutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 10
% Syntax : Number of formulae : 14 ( 5 unt; 7 typ; 0 def)
% Number of atoms : 9 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 78 ( 4 ~; 2 |; 0 &; 72 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 5 con; 0-4 aty)
% Number of variables : 4 ( 0 ^ 4 !; 0 ?; 4 :)
% 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_x_type,type,
v_x: $i ).
thf(v_xb_type,type,
v_xb: $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(1,negated_conjecture,
c_in @ ( c_Pair @ v_x @ v_xb @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @ c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(4,plain,
c_in @ ( c_Pair @ v_x @ v_xb @ 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,
! [A: $i] :
( ~ ( c_in @ ( c_Pair @ v_xb @ A @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @ c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) )
| ~ ( c_in @ ( c_Pair @ v_x @ A @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @ c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(5,plain,
! [A: $i] :
( ~ ( c_in @ ( c_Pair @ v_xb @ A @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @ c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) )
| ~ ( c_in @ ( c_Pair @ v_x @ 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)],[2]) ).
thf(3,axiom,
! [A: $i] : ( c_in @ ( c_Pair @ A @ A @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) @ c_Comb_Oparcontract @ ( tc_prod @ tc_Comb_Ocomb @ tc_Comb_Ocomb ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Oparcontract_Ointros__1_0) ).
thf(7,plain,
! [A: $i] : ( c_in @ ( c_Pair @ A @ 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)],[3]) ).
thf(8,plain,
$false,
inference(e,[status(thm)],[4,5,7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : COL105-2 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.17 % Command : run_Leo-III %s %d
% 0.17/0.38 % Computer : n009.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Mon May 6 14:04:24 EDT 2024
% 0.17/0.38 % CPUTime :
% 1.00/0.89 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.11/1.01 % [INFO] Parsing done (117ms).
% 1.11/1.02 % [INFO] Running in sequential loop mode.
% 1.72/1.23 % [INFO] eprover registered as external prover.
% 1.72/1.23 % [INFO] cvc4 registered as external prover.
% 1.72/1.24 % [INFO] Scanning for conjecture ...
% 1.84/1.30 % [INFO] Found a conjecture and 1 axioms. Running axiom selection ...
% 1.84/1.32 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.84/1.32 % [INFO] Problem is propositional (TPTP CNF).
% 1.84/1.32 % [INFO] Type checking passed.
% 1.84/1.32 % [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 ...
% 2.53/1.62 % External prover 'e' found a proof!
% 2.53/1.62 % [INFO] Killing All external provers ...
% 2.53/1.62 % Time passed: 1068ms (effective reasoning time: 598ms)
% 2.53/1.62 % 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)>
% 2.53/1.62 % Axioms used in derivation (1): cls_Comb_Oparcontract_Ointros__1_0
% 2.53/1.62 % No. of inferences in proof: 7
% 2.53/1.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1068 ms resp. 598 ms w/o parsing
% 2.87/1.64 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.87/1.64 % [INFO] Killing All external provers ...
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