TSTP Solution File: SEV387^5 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SEV387^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n029.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 15:58:53 EDT 2024
% Result : Theorem 5.06s 2.21s
% Output : Refutation 5.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 1
% Syntax : Number of formulae : 27 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 216 ( 23 equ; 0 cnn)
% Maximal formula atoms : 13 ( 8 avg)
% Number of connectives : 493 ( 102 ~; 52 |; 130 &; 209 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 10 ^ 9 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(sk1_type,type,
sk1: a > $o ).
thf(sk2_type,type,
sk2: a > $o ).
thf(sk3_type,type,
sk3: a > $o ).
thf(sk4_type,type,
sk4: a ).
thf(sk5_type,type,
sk5: $o ).
thf(1,conjecture,
! [A: a > $o,B: a > $o,C: a > $o] :
( ( ^ [D: a] :
( ( A @ D )
& ( ( ( B @ D )
& ~ ( C @ D ) )
| ( ( C @ D )
& ~ ( B @ D ) ) ) ) )
= ( ^ [D: a] :
( ( ( A @ D )
& ( B @ D )
& ~ ( ( A @ D )
& ( C @ D ) ) )
| ( ( A @ D )
& ( C @ D )
& ~ ( ( A @ D )
& ( B @ D ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cGAZING_THM44_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > $o,B: a > $o,C: a > $o] :
( ( ^ [D: a] :
( ( A @ D )
& ( ( ( B @ D )
& ~ ( C @ D ) )
| ( ( C @ D )
& ~ ( B @ D ) ) ) ) )
= ( ^ [D: a] :
( ( ( A @ D )
& ( B @ D )
& ~ ( ( A @ D )
& ( C @ D ) ) )
| ( ( A @ D )
& ( C @ D )
& ~ ( ( A @ D )
& ( B @ D ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > $o,B: a > $o,C: a > $o] :
( ( ^ [D: a] :
( ( A @ D )
& ( ( ( B @ D )
& ~ ( C @ D ) )
| ( ( C @ D )
& ~ ( B @ D ) ) ) ) )
= ( ^ [D: a] :
( ( ( A @ D )
& ( B @ D )
& ~ ( ( A @ D )
& ( C @ D ) ) )
| ( ( A @ D )
& ( C @ D )
& ~ ( ( A @ D )
& ( B @ D ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( ( ^ [A: a] :
( ( sk1 @ A )
& ( ( ( sk2 @ A )
& ~ ( sk3 @ A ) )
| ( ( sk3 @ A )
& ~ ( sk2 @ A ) ) ) ) )
!= ( ^ [A: a] :
( ( ( sk1 @ A )
& ( sk2 @ A )
& ~ ( ( sk1 @ A )
& ( sk3 @ A ) ) )
| ( ( sk1 @ A )
& ( sk3 @ A )
& ~ ( ( sk1 @ A )
& ( sk2 @ A ) ) ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
( ( ^ [A: a] :
( ( sk1 @ A )
& ( ( ( sk2 @ A )
& ~ ( sk3 @ A ) )
| ( ( sk3 @ A )
& ~ ( sk2 @ A ) ) ) ) )
!= ( ^ [A: a] :
( ( ( sk1 @ A )
& ( sk2 @ A )
& ~ ( ( sk1 @ A )
& ( sk3 @ A ) ) )
| ( ( sk1 @ A )
& ( sk3 @ A )
& ~ ( ( sk1 @ A )
& ( sk2 @ A ) ) ) ) ) ),
inference(lifteq,[status(thm)],[4]) ).
thf(6,plain,
( ( ( sk1 @ sk4 )
& ( ( ( sk2 @ sk4 )
& ~ ( sk3 @ sk4 ) )
| ( ( sk3 @ sk4 )
& ~ ( sk2 @ sk4 ) ) ) )
!= ( ( ( sk1 @ sk4 )
& ( sk2 @ sk4 )
& ~ ( ( sk1 @ sk4 )
& ( sk3 @ sk4 ) ) )
| ( ( sk1 @ sk4 )
& ( sk3 @ sk4 )
& ~ ( ( sk1 @ sk4 )
& ( sk2 @ sk4 ) ) ) ) ),
inference(func_ext,[status(esa)],[5]) ).
thf(8,plain,
( ( ( sk1 @ sk4 )
& ( ( ( sk2 @ sk4 )
& ~ ( sk3 @ sk4 ) )
| ( ( sk3 @ sk4 )
& ~ ( sk2 @ sk4 ) ) ) )
| ( ( sk1 @ sk4 )
& ( sk2 @ sk4 )
& ~ ( ( sk1 @ sk4 )
& ( sk3 @ sk4 ) ) )
| ( ( sk1 @ sk4 )
& ( sk3 @ sk4 )
& ~ ( ( sk1 @ sk4 )
& ( sk2 @ sk4 ) ) ) ),
inference(bool_ext,[status(thm)],[6]) ).
thf(26,plain,
( ( sk1 @ sk4 )
| sk5
| ( sk1 @ sk4 ) ),
inference(cnf,[status(esa)],[8]) ).
thf(62,plain,
( ( sk1 @ sk4 )
| sk5 ),
inference(simp,[status(thm)],[26]) ).
thf(42,plain,
( ~ sk5
| ( sk1 @ sk4 )
| ( sk1 @ sk4 ) ),
inference(cnf,[status(esa)],[8]) ).
thf(57,plain,
( ~ sk5
| ( sk1 @ sk4 ) ),
inference(simp,[status(thm)],[42]) ).
thf(63,plain,
( ~ sk5
| ( ( ( ( sk2 @ sk4 )
& ~ ( sk3 @ sk4 ) )
| ( ( sk3 @ sk4 )
& ~ ( sk2 @ sk4 ) ) )
!= ( ( ( sk1 @ sk4 )
& ( sk2 @ sk4 )
& ~ ( ( sk1 @ sk4 )
& ( sk3 @ sk4 ) ) )
| ( ( sk1 @ sk4 )
& ( sk3 @ sk4 )
& ~ ( ( sk1 @ sk4 )
& ( sk2 @ sk4 ) ) ) ) )
| ( ( sk1 @ sk4 )
!= ( sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[57,6]) ).
thf(64,plain,
( ~ sk5
| ( ( ( ( sk2 @ sk4 )
& ~ ( sk3 @ sk4 ) )
| ( ( sk3 @ sk4 )
& ~ ( sk2 @ sk4 ) ) )
!= ( ( ( sk1 @ sk4 )
& ( sk2 @ sk4 )
& ~ ( ( sk1 @ sk4 )
& ( sk3 @ sk4 ) ) )
| ( ( sk1 @ sk4 )
& ( sk3 @ sk4 )
& ~ ( ( sk1 @ sk4 )
& ( sk2 @ sk4 ) ) ) ) ) ),
inference(pattern_uni,[status(thm)],[63:[]]) ).
thf(114,plain,
( ~ sk5
| ( ( ( ( sk2 @ sk4 )
& ~ ( ( sk1 @ sk4 )
& ( sk3 @ sk4 ) ) )
| ( ( sk1 @ sk4 )
& ( sk3 @ sk4 )
& ~ ( ( sk1 @ sk4 )
& ( sk2 @ sk4 ) ) ) )
!= ( ( ( sk2 @ sk4 )
& ~ ( sk3 @ sk4 ) )
| ( ( sk3 @ sk4 )
& ~ ( sk2 @ sk4 ) ) ) )
| ( ( sk1 @ sk4 )
!= ( sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[57,64]) ).
thf(115,plain,
( ~ sk5
| ( ( ( ( sk2 @ sk4 )
& ~ ( ( sk1 @ sk4 )
& ( sk3 @ sk4 ) ) )
| ( ( sk1 @ sk4 )
& ( sk3 @ sk4 )
& ~ ( ( sk1 @ sk4 )
& ( sk2 @ sk4 ) ) ) )
!= ( ( ( sk2 @ sk4 )
& ~ ( sk3 @ sk4 ) )
| ( ( sk3 @ sk4 )
& ~ ( sk2 @ sk4 ) ) ) ) ),
inference(pattern_uni,[status(thm)],[114:[]]) ).
thf(176,plain,
( ~ sk5
| ( ( ( ( sk2 @ sk4 )
& ~ ( sk3 @ sk4 ) )
| ( ( sk1 @ sk4 )
& ( sk3 @ sk4 )
& ~ ( ( sk1 @ sk4 )
& ( sk2 @ sk4 ) ) ) )
!= ( ( ( sk2 @ sk4 )
& ~ ( sk3 @ sk4 ) )
| ( ( sk3 @ sk4 )
& ~ ( sk2 @ sk4 ) ) ) )
| ( ( sk1 @ sk4 )
!= ( sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[57,115]) ).
thf(177,plain,
( ~ sk5
| ( ( ( ( sk2 @ sk4 )
& ~ ( sk3 @ sk4 ) )
| ( ( sk1 @ sk4 )
& ( sk3 @ sk4 )
& ~ ( ( sk1 @ sk4 )
& ( sk2 @ sk4 ) ) ) )
!= ( ( ( sk2 @ sk4 )
& ~ ( sk3 @ sk4 ) )
| ( ( sk3 @ sk4 )
& ~ ( sk2 @ sk4 ) ) ) ) ),
inference(pattern_uni,[status(thm)],[176:[]]) ).
thf(220,plain,
( ~ sk5
| ( ( ( sk2 @ sk4 )
& ~ ( sk3 @ sk4 ) )
!= ( ( sk2 @ sk4 )
& ~ ( sk3 @ sk4 ) ) )
| ( ( ( sk1 @ sk4 )
& ( sk3 @ sk4 )
& ~ ( ( sk1 @ sk4 )
& ( sk2 @ sk4 ) ) )
!= ( ( sk3 @ sk4 )
& ~ ( sk2 @ sk4 ) ) ) ),
inference(simp,[status(thm)],[177]) ).
thf(239,plain,
( ~ sk5
| ( ( ( sk1 @ sk4 )
& ( sk3 @ sk4 )
& ~ ( ( sk1 @ sk4 )
& ( sk2 @ sk4 ) ) )
!= ( ( sk3 @ sk4 )
& ~ ( sk2 @ sk4 ) ) ) ),
inference(simp,[status(thm)],[220]) ).
thf(262,plain,
( ~ sk5
| ( ( ( sk3 @ sk4 )
& ~ ( ( sk1 @ sk4 )
& ( sk2 @ sk4 ) ) )
!= ( ( sk3 @ sk4 )
& ~ ( sk2 @ sk4 ) ) )
| ( ( sk1 @ sk4 )
!= ( sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[57,239]) ).
thf(263,plain,
( ~ sk5
| ( ( ( sk3 @ sk4 )
& ~ ( ( sk1 @ sk4 )
& ( sk2 @ sk4 ) ) )
!= ( ( sk3 @ sk4 )
& ~ ( sk2 @ sk4 ) ) ) ),
inference(pattern_uni,[status(thm)],[262:[]]) ).
thf(355,plain,
( ~ sk5
| ( ( sk1 @ sk4 )
!= ( sk1 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[57,263]) ).
thf(356,plain,
~ sk5,
inference(pattern_uni,[status(thm)],[355:[]]) ).
thf(378,plain,
( ( sk1 @ sk4 )
| $false ),
inference(rewrite,[status(thm)],[62,356]) ).
thf(379,plain,
sk1 @ sk4,
inference(simp,[status(thm)],[378]) ).
thf(380,plain,
( ( $true
& ( ( ( sk2 @ sk4 )
& ~ ( sk3 @ sk4 ) )
| ( ( sk3 @ sk4 )
& ~ ( sk2 @ sk4 ) ) ) )
!= ( ( $true
& ( sk2 @ sk4 )
& ~ ( $true
& ( sk3 @ sk4 ) ) )
| ( $true
& ( sk3 @ sk4 )
& ~ ( $true
& ( sk2 @ sk4 ) ) ) ) ),
inference(rewrite,[status(thm)],[6,379]) ).
thf(381,plain,
$false,
inference(simp,[status(thm)],[380]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV387^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : run_Leo-III %s %d THM
% 0.12/0.33 % Computer : n029.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 : Fri Jun 21 18:52:10 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.80/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.09/0.95 % [INFO] Parsing done (98ms).
% 1.09/0.96 % [INFO] Running in sequential loop mode.
% 1.36/1.16 % [INFO] eprover registered as external prover.
% 1.36/1.17 % [INFO] Scanning for conjecture ...
% 1.71/1.22 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.80/1.25 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.80/1.25 % [INFO] Problem is higher-order (TPTP THF).
% 1.80/1.25 % [INFO] Type checking passed.
% 1.80/1.25 % [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 ...
% 5.06/2.20 % [INFO] Killing All external provers ...
% 5.06/2.21 % Time passed: 1751ms (effective reasoning time: 1241ms)
% 5.06/2.21 % 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)>
% 5.06/2.21 % Axioms used in derivation (0):
% 5.06/2.21 % No. of inferences in proof: 27
% 5.06/2.21 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1751 ms resp. 1241 ms w/o parsing
% 5.06/2.25 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.06/2.25 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------