TSTP Solution File: CSR153^2 by Leo-III---1.7.10
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : CSR153^2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n005.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 07:39:03 EDT 2024
% Result : Theorem 50.11s 8.58s
% Output : Refutation 50.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 39 ( 13 unt; 9 typ; 0 def)
% Number of atoms : 46 ( 7 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 197 ( 38 ~; 17 |; 14 &; 128 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 39 ( 0 ^ 36 !; 3 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(brother_THFTYPE_IiioI_type,type,
brother_THFTYPE_IiioI: $i > $i > $o ).
thf(instance_THFTYPE_IIiioIioI_type,type,
instance_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).
thf(lBill_THFTYPE_i_type,type,
lBill_THFTYPE_i: $i ).
thf(lBob_THFTYPE_i_type,type,
lBob_THFTYPE_i: $i ).
thf(lIrreflexiveRelation_THFTYPE_i_type,type,
lIrreflexiveRelation_THFTYPE_i: $i ).
thf(lMary_THFTYPE_i_type,type,
lMary_THFTYPE_i: $i ).
thf(lSue_THFTYPE_i_type,type,
lSue_THFTYPE_i: $i ).
thf(sister_THFTYPE_IiioI_type,type,
sister_THFTYPE_IiioI: $i > $i > $o ).
thf(32,axiom,
( ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_029) ).
thf(215,plain,
( ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(218,plain,
sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(cnf,[status(esa)],[215]) ).
thf(1,conjecture,
? [A: $i > $i > $o] :
( ( A @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i > $i > $o] :
( ( A @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(131,plain,
~ ? [A: $i > $i > $o] :
( ( A @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(132,plain,
! [C: $i,B: $i,A: $i > $i > $o] :
( ~ ( A @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( A @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
| ( A @ B @ C ) ),
inference(cnf,[status(esa)],[131]) ).
thf(356,plain,
! [C: $i > $i > $o,B: $i,A: $i] :
( ~ ~ ( C @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ~ ( C @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
| ~ ( C @ A @ B ) ),
inference(prim_subst,[status(thm)],[132:[bind(A,$thf( ^ [E: $i] : ^ [F: $i] : ~ ( D @ E @ F ) ))]]) ).
thf(426,plain,
! [C: $i > $i > $o,B: $i,A: $i] :
( ~ ( C @ A @ B )
| ( C @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
| ( C @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(cnf,[status(esa)],[356]) ).
thf(427,plain,
! [C: $i > $i > $o,B: $i,A: $i] :
( ~ ( C @ A @ B )
| ( C @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
| ( C @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[426]) ).
thf(929,plain,
! [C: $i > $i > $o,B: $i,A: $i] :
( ( C @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
| ( C @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ( ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( C @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[218,427]) ).
thf(944,plain,
( ( sister_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ( sister_THFTYPE_IiioI @ lBill_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(pre_uni,[status(thm)],[929:[bind(A,$thf( A )),bind(B,$thf( lSue_THFTYPE_i )),bind(C,$thf( ^ [D: $i] : ^ [E: $i] : ( sister_THFTYPE_IiioI @ E @ lBill_THFTYPE_i ) ))]]) ).
thf(7,axiom,
( ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lSue_THFTYPE_i )
& ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lMary_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_004) ).
thf(145,plain,
( ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lSue_THFTYPE_i )
& ~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ( brother_THFTYPE_IiioI @ lBob_THFTYPE_i @ lMary_THFTYPE_i ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(147,plain,
~ ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
inference(cnf,[status(esa)],[145]) ).
thf(598,plain,
! [C: $i,B: $i,A: $i > $i > $o] :
( ~ ( A @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( A @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
| ( ( A @ B @ C )
!= ( sister_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[132,147]) ).
thf(601,plain,
( ~ ( sister_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( sister_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(pre_uni,[status(thm)],[598:[bind(A,$thf( ^ [D: $i] : ^ [E: $i] : ( sister_THFTYPE_IiioI @ D @ lBill_THFTYPE_i ) )),bind(B,$thf( lMary_THFTYPE_i )),bind(C,$thf( C ))]]) ).
thf(1343,plain,
( ~ ( sister_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ~ $true ),
inference(rewrite,[status(thm)],[601,218]) ).
thf(1344,plain,
~ ( sister_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ),
inference(simp,[status(thm)],[1343]) ).
thf(45,axiom,
! [A: $i > $i > $o] :
( ( instance_THFTYPE_IIiioIioI @ A @ lIrreflexiveRelation_THFTYPE_i )
= ( ! [B: $i] :
~ ( A @ B @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_042) ).
thf(253,plain,
! [A: $i > $i > $o] :
( ( instance_THFTYPE_IIiioIioI @ A @ lIrreflexiveRelation_THFTYPE_i )
= ( ! [B: $i] :
~ ( A @ B @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(254,plain,
! [A: $i > $i > $o] :
( ( instance_THFTYPE_IIiioIioI @ A @ lIrreflexiveRelation_THFTYPE_i )
= ( ! [B: $i] :
~ ( A @ B @ B ) ) ),
inference(cnf,[status(esa)],[253]) ).
thf(255,plain,
! [A: $i > $i > $o] :
( ( instance_THFTYPE_IIiioIioI @ A @ lIrreflexiveRelation_THFTYPE_i )
= ( ! [B: $i] :
~ ( A @ B @ B ) ) ),
inference(lifteq,[status(thm)],[254]) ).
thf(75,axiom,
instance_THFTYPE_IIiioIioI @ sister_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_072) ).
thf(288,plain,
instance_THFTYPE_IIiioIioI @ sister_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(5210,plain,
! [A: $i > $i > $o] :
( ! [B: $i] :
~ ( A @ B @ B )
| ( ( instance_THFTYPE_IIiioIioI @ A @ lIrreflexiveRelation_THFTYPE_i )
!= ( instance_THFTYPE_IIiioIioI @ sister_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[255,288]) ).
thf(5211,plain,
! [A: $i] :
~ ( sister_THFTYPE_IiioI @ A @ A ),
inference(pattern_uni,[status(thm)],[5210:[bind(A,$thf( sister_THFTYPE_IiioI ))]]) ).
thf(5431,plain,
! [A: $i] :
~ ( sister_THFTYPE_IiioI @ A @ A ),
inference(cnf,[status(esa)],[5211]) ).
thf(5992,plain,
( $false
| $false ),
inference(rewrite,[status(thm)],[944,1344,5431]) ).
thf(5993,plain,
$false,
inference(simp,[status(thm)],[5992]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : CSR153^2 : TPTP v8.1.2. Released v4.1.0.
% 0.09/0.12 % Command : run_Leo-III %s %d
% 0.11/0.32 % Computer : n005.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 : Mon May 6 15:32:09 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.85/0.82 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.33/1.04 % [INFO] Parsing done (220ms).
% 1.52/1.06 % [INFO] Running in sequential loop mode.
% 1.82/1.33 % [INFO] eprover registered as external prover.
% 1.95/1.34 % [INFO] cvc4 registered as external prover.
% 1.95/1.34 % [INFO] Scanning for conjecture ...
% 2.15/1.43 % [INFO] Found a conjecture and 128 axioms. Running axiom selection ...
% 2.15/1.45 % [INFO] Axiom selection finished. Selected 128 axioms (removed 0 axioms).
% 2.27/1.54 % [INFO] Problem is higher-order (TPTP THF).
% 2.56/1.55 % [INFO] Type checking passed.
% 2.56/1.55 % [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 ...
% 50.11/8.57 % [INFO] Killing All external provers ...
% 50.11/8.58 % Time passed: 8150ms (effective reasoning time: 7514ms)
% 50.11/8.58 % 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)>
% 50.11/8.58 % Axioms used in derivation (4): ax_029, ax_004, ax_042, ax_072
% 50.11/8.58 % No. of inferences in proof: 30
% 50.11/8.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 8150 ms resp. 7514 ms w/o parsing
% 50.11/8.62 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 50.11/8.62 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------