%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR150^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:47:01 AM UTC 2026
% Result : Theorem 5.54s 2.93s
% Output : Refutation 5.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 55 ( 11 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 111 ( 13 ~; 3 |; 4 &; 91 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 28 ( 9 ^; 12 !; 7 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(grandchild_THFTYPE_IiioI_decl,type,
grandchild_THFTYPE_IiioI: $i > $i > $o ).
thf(grandparent_THFTYPE_IiioI_decl,type,
grandparent_THFTYPE_IiioI: $i > $i > $o ).
thf(lCardinalityFn_THFTYPE_IIioIiI_decl,type,
lCardinalityFn_THFTYPE_IIioIiI: ( $i > $o ) > $i ).
thf(lJohn_THFTYPE_i_decl,type,
lJohn_THFTYPE_i: $i ).
thf(ltet_THFTYPE_IiioI_decl,type,
ltet_THFTYPE_IiioI: $i > $i > $o ).
thf(n3_THFTYPE_i_decl,type,
n3_THFTYPE_i: $i ).
thf(parent_THFTYPE_IiioI_decl,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(sk1_decl,type,
sk1: $i ).
thf(4,axiom,
ltet_THFTYPE_IiioI @ ( lCardinalityFn_THFTYPE_IIioIiI @ ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i ) ) @ n3_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
thf(11,plain,
ltet_THFTYPE_IiioI @ ( lCardinalityFn_THFTYPE_IIioIiI @ ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i ) ) @ n3_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,conjecture,
? [A: $i] :
( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [B: $i] : ( grandchild_THFTYPE_IiioI @ B @ lJohn_THFTYPE_i ) )
@ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [B: $i] : ( grandchild_THFTYPE_IiioI @ B @ lJohn_THFTYPE_i ) )
@ A ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ? [A: $i] :
( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [B: $i] : ( grandchild_THFTYPE_IiioI @ B @ lJohn_THFTYPE_i ) )
@ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,plain,
! [A: $i] :
~ ( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [B: $i] : ( grandchild_THFTYPE_IiioI @ B @ lJohn_THFTYPE_i ) )
@ A ),
inference(cnf,[status(esa)],[6]) ).
thf(15,plain,
! [A: $i] :
( ~ $true
| ( ( ltet_THFTYPE_IiioI @ ( lCardinalityFn_THFTYPE_IIioIiI @ ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i ) ) @ n3_THFTYPE_i )
!= ( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [B: $i] : ( grandchild_THFTYPE_IiioI @ B @ lJohn_THFTYPE_i ) )
@ A ) ) ),
inference(paramod_ordered,[status(thm)],[11,7]) ).
thf(16,plain,
! [A: $i] :
( ( ltet_THFTYPE_IiioI @ ( lCardinalityFn_THFTYPE_IIioIiI @ ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i ) ) @ n3_THFTYPE_i )
!= ( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [B: $i] : ( grandchild_THFTYPE_IiioI @ B @ lJohn_THFTYPE_i ) )
@ A ) ),
inference(simp,[status(thm)],[15]) ).
thf(17,plain,
! [A: $i] :
( ( ( lCardinalityFn_THFTYPE_IIioIiI @ ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i ) )
!= ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [B: $i] : ( grandchild_THFTYPE_IiioI @ B @ lJohn_THFTYPE_i ) ) )
| ( n3_THFTYPE_i != A ) ),
inference(simp,[status(thm)],[16]) ).
thf(18,plain,
( ( lCardinalityFn_THFTYPE_IIioIiI @ ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i ) )
!= ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [A: $i] : ( grandchild_THFTYPE_IiioI @ A @ lJohn_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[17]) ).
thf(19,plain,
( ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i )
!= ( ^ [A: $i] : ( grandchild_THFTYPE_IiioI @ A @ lJohn_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[18]) ).
thf(20,plain,
( ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ sk1 )
!= ( grandchild_THFTYPE_IiioI @ sk1 @ lJohn_THFTYPE_i ) ),
inference(func_ext,[status(esa)],[19]) ).
thf(21,plain,
( ~ ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ sk1 )
| ~ ( grandchild_THFTYPE_IiioI @ sk1 @ lJohn_THFTYPE_i ) ),
inference(bool_ext,[status(thm)],[20]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( grandchild_THFTYPE_IiioI @ A @ B )
= ( ? [C: $i] :
( ( parent_THFTYPE_IiioI @ C @ A )
& ( parent_THFTYPE_IiioI @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).
thf(12,plain,
! [A: $i,B: $i] :
( ( grandchild_THFTYPE_IiioI @ A @ B )
= ( ? [C: $i] :
( ( parent_THFTYPE_IiioI @ C @ A )
& ( parent_THFTYPE_IiioI @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( grandparent_THFTYPE_IiioI @ A @ B )
= ( ? [C: $i] :
( ( parent_THFTYPE_IiioI @ A @ C )
& ( parent_THFTYPE_IiioI @ C @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(8,plain,
! [A: $i,B: $i] :
( ( grandparent_THFTYPE_IiioI @ A @ B )
= ( ? [C: $i] :
( ( parent_THFTYPE_IiioI @ A @ C )
& ( parent_THFTYPE_IiioI @ C @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(49,plain,
$false,
inference(e,[status(thm)],[20,6,21,12,7,18,11,8,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR150^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.09 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.09/0.24 % Computer : n020.cluster.edu
% 0.09/0.24 % Model : x86_64 x86_64
% 0.09/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.24 % Memory : 8046.5625MB
% 0.09/0.24 % OS : Linux 6.8.0-71-generic
% 0.09/0.24 % CPULimit : 300
% 0.09/0.24 % WCLimit : 300
% 0.09/0.24 % DateTime : Tue Sep 29 17:58:19 UTC 2026
% 0.09/0.25 % CPUTime :
% 0.09/0.25 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.17/0.96 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.61/1.18 % [INFO] Parsing done (217ms).
% 1.78/1.21 % [INFO] Running in sequential loop mode.
% 2.40/1.64 % [INFO] eprover registered as external prover.
% 2.40/1.64 % [INFO] Scanning for conjecture ...
% 2.60/1.74 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 2.60/1.78 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 2.60/1.80 % [INFO] Problem is higher-order (TPTP THF).
% 2.79/1.80 % [INFO] Type checking passed.
% 2.79/1.81 % [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 ...
% 5.54/2.93 % External prover 'e' found a proof!
% 5.54/2.93 % [INFO] Killing All external provers ...
% 5.54/2.93 % Time passed: 2474ms (effective reasoning time: 1713ms)
% 5.54/2.93 % 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)>
% 5.54/2.93 % Axioms used in derivation (3): ax_001, ax_002, ax
% 5.54/2.93 % No. of inferences in proof: 18
% 5.54/2.93 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2474 ms resp. 1713 ms w/o parsing
% 5.54/2.99 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.54/2.99 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------