TSTP Solution File: CSR138^1 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : CSR138^1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n021.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 05:24:59 EDT 2024
% Result : Theorem 4.95s 2.24s
% Output : Refutation 4.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 23
% Syntax : Number of formulae : 47 ( 25 unt; 13 typ; 0 def)
% Number of atoms : 64 ( 21 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 133 ( 29 ~; 13 |; 9 &; 82 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 12 con; 0-2 aty)
% Number of variables : 61 ( 30 ^ 14 !; 17 ?; 61 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(lAnna_THFTYPE_i_type,type,
lAnna_THFTYPE_i: $i ).
thf(lBen_THFTYPE_i_type,type,
lBen_THFTYPE_i: $i ).
thf(lBill_THFTYPE_i_type,type,
lBill_THFTYPE_i: $i ).
thf(lBob_THFTYPE_i_type,type,
lBob_THFTYPE_i: $i ).
thf(lMary_THFTYPE_i_type,type,
lMary_THFTYPE_i: $i ).
thf(lSue_THFTYPE_i_type,type,
lSue_THFTYPE_i: $i ).
thf(likes_THFTYPE_IiioI_type,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(parent_THFTYPE_IiioI_type,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(sk4_type,type,
sk4: $i ).
thf(1,conjecture,
? [A: $i > $i > $o,B: $i > $i > $o,C: $i] :
( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i > $i > $o,B: $i > $i > $o,C: $i] :
( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(12,plain,
~ ? [A: $i > $i > $o,B: $i > $i > $o,C: $i] :
( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(13,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( B @ C @ lBill_THFTYPE_i )
| ~ ( A @ C @ lAnna_THFTYPE_i )
| ( B
= ( ^ [D: $i,E: $i] : $true ) )
| ( A
= ( ^ [D: $i,E: $i] : $true ) ) ),
inference(cnf,[status(esa)],[12]) ).
thf(14,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ( B
= ( ^ [D: $i,E: $i] : $true ) )
| ( A
= ( ^ [D: $i,E: $i] : $true ) )
| ~ ( B @ C @ lBill_THFTYPE_i )
| ~ ( A @ C @ lAnna_THFTYPE_i ) ),
inference(lifteq,[status(thm)],[13]) ).
thf(6,axiom,
? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_003) ).
thf(20,plain,
? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(3,axiom,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(15,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(46,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ( B
= ( ^ [D: $i,E: $i] : $true ) )
| ( A
= ( ^ [D: $i,E: $i] : $true ) )
| ~ ( A @ C @ lAnna_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[15,14]) ).
thf(74,plain,
! [A: $i > $i > $o] :
( ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ B @ lBill_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( A
= ( ^ [B: $i,C: $i] : $true ) )
| ~ ( A @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(pre_uni,[status(thm)],[46:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : ^ [E: $i] : ( likes_THFTYPE_IiioI @ D @ lBill_THFTYPE_i ) )),bind(C,$thf( lSue_THFTYPE_i ))]]) ).
thf(5,axiom,
? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).
thf(17,plain,
? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(8,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005) ).
thf(24,plain,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(9,axiom,
likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_006) ).
thf(25,plain,
likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(21,plain,
~ ! [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ A @ B ),
inference(miniscope,[status(thm)],[20]) ).
thf(22,plain,
~ ( likes_THFTYPE_IiioI @ sk3 @ sk4 ),
inference(cnf,[status(esa)],[21]) ).
thf(11,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_008) ).
thf(27,plain,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(4,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
thf(16,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(29,plain,
( ( likes_THFTYPE_IiioI @ sk3 @ sk4 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(paramod_ordered,[status(thm)],[15,22]) ).
thf(31,plain,
( ( sk3 != lSue_THFTYPE_i )
| ( sk4 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[29]) ).
thf(10,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_007) ).
thf(26,plain,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(7,axiom,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_004) ).
thf(23,plain,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(28,plain,
( ( likes_THFTYPE_IiioI @ sk3 @ sk4 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(paramod_ordered,[status(thm)],[16,22]) ).
thf(30,plain,
( ( sk3 != lMary_THFTYPE_i )
| ( sk4 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[28]) ).
thf(18,plain,
~ ! [A: $i,B: $i] : ( parent_THFTYPE_IiioI @ A @ B ),
inference(miniscope,[status(thm)],[17]) ).
thf(19,plain,
~ ( parent_THFTYPE_IiioI @ sk1 @ sk2 ),
inference(cnf,[status(esa)],[18]) ).
thf(218,plain,
$false,
inference(e,[status(thm)],[14,20,74,17,12,15,24,25,22,27,16,31,26,23,30,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : CSR138^1 : TPTP v8.2.0. Released v4.1.0.
% 0.12/0.12 % Command : run_Leo-III %s %d THM
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Jun 20 00:13:25 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.99/0.89 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.12/1.00 % [INFO] Parsing done (107ms).
% 1.34/1.01 % [INFO] Running in sequential loop mode.
% 1.67/1.21 % [INFO] eprover registered as external prover.
% 1.75/1.21 % [INFO] Scanning for conjecture ...
% 1.83/1.27 % [INFO] Found a conjecture (or negated_conjecture) and 9 axioms. Running axiom selection ...
% 1.83/1.29 % [INFO] Axiom selection finished. Selected 9 axioms (removed 0 axioms).
% 1.83/1.30 % [INFO] Problem is higher-order (TPTP THF).
% 1.83/1.30 % [INFO] Type checking passed.
% 1.83/1.30 % [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 ...
% 4.95/2.24 % External prover 'e' found a proof!
% 4.95/2.24 % [INFO] Killing All external provers ...
% 4.95/2.24 % Time passed: 1707ms (effective reasoning time: 1233ms)
% 4.95/2.24 % 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)>
% 4.95/2.24 % Axioms used in derivation (9): ax_007, ax_003, ax_002, ax_005, ax, ax_008, ax_004, ax_006, ax_001
% 4.95/2.24 % No. of inferences in proof: 34
% 4.95/2.24 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1707 ms resp. 1233 ms w/o parsing
% 4.95/2.27 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.95/2.27 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------