%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR150^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n014.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 7.14s 2.82s
% Output : Refutation 7.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 55 ( 12 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 99 ( 2 ~; 2 |; 8 &; 87 @)
% ( 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 : 10 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 34 ( 3 ^; 20 !; 11 ?; 34 :)
% 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(lt_THFTYPE_IiioI_decl,type,
lt_THFTYPE_IiioI: $i > $i > $o ).
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(1,conjecture,
? [A: $i] :
( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [B: $i] : ( grandchild_THFTYPE_IiioI @ B @ lJohn_THFTYPE_i ) )
@ A ),
file('/export/starexec/sandbox/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(10,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,axiom,
! [A: $i,B: $i] :
( ( ltet_THFTYPE_IiioI @ B @ A )
= ( ( B = A )
| ( lt_THFTYPE_IiioI @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).
thf(24,plain,
! [A: $i,B: $i] :
( ( ltet_THFTYPE_IiioI @ B @ A )
= ( ( B = A )
| ( lt_THFTYPE_IiioI @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(8,axiom,
ltet_THFTYPE_IiioI @ ( lCardinalityFn_THFTYPE_IIioIiI @ ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i ) ) @ n3_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_013) ).
thf(27,plain,
ltet_THFTYPE_IiioI @ ( lCardinalityFn_THFTYPE_IIioIiI @ ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i ) ) @ n3_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
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/sandbox/benchmark/theBenchmark.p',ax_076) ).
thf(12,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(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/sandbox/benchmark/theBenchmark.p',ax_037) ).
thf(18,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(4,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/sandbox/benchmark/theBenchmark.p',ax_077) ).
thf(15,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)],[4]) ).
thf(9,axiom,
ltet_THFTYPE_IiioI @ ( lCardinalityFn_THFTYPE_IIioIiI @ ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i ) ) @ n3_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_012) ).
thf(28,plain,
ltet_THFTYPE_IiioI @ ( lCardinalityFn_THFTYPE_IIioIiI @ ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i ) ) @ n3_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(6,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/sandbox/benchmark/theBenchmark.p',ax_036) ).
thf(21,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)],[6]) ).
thf(34,plain,
$false,
inference(e,[status(thm)],[10,24,27,12,18,15,28,21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR150^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.10/0.22 % Computer : n014.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Tue Sep 29 17:57:29 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 1.03/0.80 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 2.42/1.21 % [INFO] Parsing done (406ms).
% 2.42/1.23 % [INFO] Running in sequential loop mode.
% 4.18/1.72 % [INFO] eprover registered as external prover.
% 4.18/1.72 % [INFO] Scanning for conjecture ...
% 4.83/1.90 % [INFO] Found a conjecture (or negated_conjecture) and 255 axioms. Running axiom selection ...
% 4.83/1.97 % [INFO] Axiom selection finished. Selected 7 axioms (removed 248 axioms).
% 4.83/2.00 % [INFO] Problem is higher-order (TPTP THF).
% 4.83/2.00 % [INFO] Type checking passed.
% 4.83/2.01 % [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 ...
% 7.14/2.81 % External prover 'e' found a proof!
% 7.14/2.81 % [INFO] Killing All external provers ...
% 7.14/2.81 % Time passed: 2442ms (effective reasoning time: 1578ms)
% 7.14/2.81 % 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)>
% 7.14/2.82 % Axioms used in derivation (7): ax_037, ax_002, ax_013, ax_076, ax_036, ax_012, ax_077
% 7.14/2.82 % No. of inferences in proof: 18
% 7.14/2.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2442 ms resp. 1578 ms w/o parsing
% 7.14/2.89 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.14/2.89 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------