TSTP Solution File: SYO179^5 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SYO179^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n027.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 Jun 24 20:50:29 EDT 2024
% Result : Theorem 3.35s 2.08s
% Output : Refutation 3.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 109 ( 0 equ; 0 cnn)
% Maximal formula atoms : 36 ( 27 avg)
% Number of connectives : 323 ( 2 ~; 48 |; 54 &; 216 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 15 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 18 ( 0 ^ 0 !; 18 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(cG_type,type,
cG: $i > $i > $o ).
thf(cR_type,type,
cR: $i > $i > $o ).
thf(cF_type,type,
cF: $i ).
thf(cE_type,type,
cE: $i ).
thf(cD_type,type,
cD: $i ).
thf(cC_type,type,
cC: $i ).
thf(cB_type,type,
cB: $i ).
thf(cA_type,type,
cA: $i ).
thf(1,conjecture,
( ( ( ( cR @ cA @ cB )
| ( cG @ cA @ cB ) )
& ( ( cR @ cA @ cC )
| ( cG @ cA @ cC ) )
& ( ( cR @ cA @ cD )
| ( cG @ cA @ cD ) )
& ( ( cR @ cA @ cE )
| ( cG @ cA @ cE ) )
& ( ( cR @ cA @ cF )
| ( cG @ cA @ cF ) )
& ( ( cR @ cB @ cC )
| ( cG @ cB @ cC ) )
& ( ( cR @ cB @ cD )
| ( cG @ cB @ cD ) )
& ( ( cR @ cB @ cE )
| ( cG @ cB @ cE ) )
& ( ( cR @ cB @ cF )
| ( cG @ cB @ cF ) )
& ( ( cR @ cC @ cD )
| ( cG @ cC @ cD ) )
& ( ( cR @ cC @ cE )
| ( cG @ cC @ cE ) )
& ( ( cR @ cC @ cF )
| ( cG @ cC @ cF ) )
& ( ( cR @ cD @ cE )
| ( cG @ cD @ cE ) )
& ( ( cR @ cD @ cF )
| ( cG @ cD @ cF ) )
& ( ( cR @ cE @ cF )
| ( cG @ cE @ cF ) ) )
=> ( ? [A: $i,B: $i,C: $i] :
( ( cR @ A @ B )
& ( cR @ A @ C )
& ( cR @ B @ C ) )
| ? [A: $i,B: $i,C: $i] :
( ( cG @ A @ B )
& ( cG @ A @ C )
& ( cG @ B @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSIX_THEOREM_B) ).
thf(2,negated_conjecture,
~ ( ( ( ( cR @ cA @ cB )
| ( cG @ cA @ cB ) )
& ( ( cR @ cA @ cC )
| ( cG @ cA @ cC ) )
& ( ( cR @ cA @ cD )
| ( cG @ cA @ cD ) )
& ( ( cR @ cA @ cE )
| ( cG @ cA @ cE ) )
& ( ( cR @ cA @ cF )
| ( cG @ cA @ cF ) )
& ( ( cR @ cB @ cC )
| ( cG @ cB @ cC ) )
& ( ( cR @ cB @ cD )
| ( cG @ cB @ cD ) )
& ( ( cR @ cB @ cE )
| ( cG @ cB @ cE ) )
& ( ( cR @ cB @ cF )
| ( cG @ cB @ cF ) )
& ( ( cR @ cC @ cD )
| ( cG @ cC @ cD ) )
& ( ( cR @ cC @ cE )
| ( cG @ cC @ cE ) )
& ( ( cR @ cC @ cF )
| ( cG @ cC @ cF ) )
& ( ( cR @ cD @ cE )
| ( cG @ cD @ cE ) )
& ( ( cR @ cD @ cF )
| ( cG @ cD @ cF ) )
& ( ( cR @ cE @ cF )
| ( cG @ cE @ cF ) ) )
=> ( ? [A: $i,B: $i,C: $i] :
( ( cR @ A @ B )
& ( cR @ A @ C )
& ( cR @ B @ C ) )
| ? [A: $i,B: $i,C: $i] :
( ( cG @ A @ B )
& ( cG @ A @ C )
& ( cG @ B @ C ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ( ( cR @ cA @ cB )
| ( cG @ cA @ cB ) )
& ( ( cR @ cA @ cC )
| ( cG @ cA @ cC ) )
& ( ( cR @ cA @ cD )
| ( cG @ cA @ cD ) )
& ( ( cR @ cA @ cE )
| ( cG @ cA @ cE ) )
& ( ( cR @ cA @ cF )
| ( cG @ cA @ cF ) )
& ( ( cR @ cB @ cC )
| ( cG @ cB @ cC ) )
& ( ( cR @ cB @ cD )
| ( cG @ cB @ cD ) )
& ( ( cR @ cB @ cE )
| ( cG @ cB @ cE ) )
& ( ( cR @ cB @ cF )
| ( cG @ cB @ cF ) )
& ( ( cR @ cC @ cD )
| ( cG @ cC @ cD ) )
& ( ( cR @ cC @ cE )
| ( cG @ cC @ cE ) )
& ( ( cR @ cC @ cF )
| ( cG @ cC @ cF ) )
& ( ( cR @ cD @ cE )
| ( cG @ cD @ cE ) )
& ( ( cR @ cD @ cF )
| ( cG @ cD @ cF ) )
& ( ( cR @ cE @ cF )
| ( cG @ cE @ cF ) ) )
=> ( ? [A: $i,B: $i,C: $i] :
( ( cR @ A @ B )
& ( cR @ A @ C )
& ( cR @ B @ C ) )
| ? [A: $i,B: $i,C: $i] :
( ( cG @ A @ B )
& ( cG @ A @ C )
& ( cG @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(64,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : SYO179^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.11 % Command : run_Leo-III %s %d THM
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun Jun 23 09:20:24 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.89/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.99/1.02 % [INFO] Parsing done (144ms).
% 1.21/1.03 % [INFO] Running in sequential loop mode.
% 1.64/1.32 % [INFO] eprover registered as external prover.
% 1.64/1.33 % [INFO] Scanning for conjecture ...
% 1.76/1.43 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.96/1.46 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.96/1.46 % [INFO] Problem is higher-order (TPTP THF).
% 1.96/1.46 % [INFO] Type checking passed.
% 1.96/1.47 % [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 ...
% 3.35/2.07 % External prover 'e' found a proof!
% 3.35/2.07 % [INFO] Killing All external provers ...
% 3.35/2.07 % Time passed: 1583ms (effective reasoning time: 1044ms)
% 3.35/2.07 % 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)>
% 3.35/2.08 % Axioms used in derivation (0):
% 3.35/2.08 % No. of inferences in proof: 4
% 3.35/2.08 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1583 ms resp. 1044 ms w/o parsing
% 3.43/2.12 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.43/2.12 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------