%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR150^3 : TPTP v9.3.1. Released v5.3.0.
% 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 : n004.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 7.63s 2.99s
% Output : Refutation 8.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 35 ( 8 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 63 ( 2 ~; 2 |; 4 &; 55 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 22 ( 3 ^; 12 !; 7 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(lCardinalityFn_THFTYPE_IIioIiI_decl,type,
lCardinalityFn_THFTYPE_IIioIiI: ( $i > $o ) > $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(grandchild_THFTYPE_IiioI_decl,type,
grandchild_THFTYPE_IiioI: $i > $i > $o ).
thf(grandparent_THFTYPE_IiioI_decl,type,
grandparent_THFTYPE_IiioI: $i > $i > $o ).
thf(lJohn_THFTYPE_i_decl,type,
lJohn_THFTYPE_i: $i ).
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) ).
thf(9,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(4,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_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)],[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/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(7,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(6,axiom,
! [A: $i,B: $i] :
( ( ltet_THFTYPE_IiioI @ B @ A )
= ( ( B = A )
| ( lt_THFTYPE_IiioI @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1848) ).
thf(16,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)],[6]) ).
thf(5,axiom,
ltet_THFTYPE_IiioI @ ( lCardinalityFn_THFTYPE_IIioIiI @ ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i ) ) @ n3_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).
thf(15,plain,
ltet_THFTYPE_IiioI @ ( lCardinalityFn_THFTYPE_IIioIiI @ ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i ) ) @ n3_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(23,plain,
$false,
inference(e,[status(thm)],[9,12,7,16,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR150^3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.07 % 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
% 0.07/0.19 % Computer : n004.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 17:57:36 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 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
% 0.87/0.76 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 3.55/1.54 % [INFO] Parsing done (779ms).
% 3.55/1.56 % [INFO] Running in sequential loop mode.
% 4.36/1.92 % [INFO] eprover registered as external prover.
% 4.36/1.93 % [INFO] Scanning for conjecture ...
% 5.21/2.24 % [INFO] Found a conjecture (or negated_conjecture) and 3580 axioms. Running axiom selection ...
% 5.46/2.34 % [INFO] Axiom selection finished. Selected 4 axioms (removed 3576 axioms).
% 5.46/2.36 % [INFO] Problem is higher-order (TPTP THF).
% 5.46/2.36 % [INFO] Type checking passed.
% 5.46/2.37 % [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 ...
% 7.63/2.99 % External prover 'e' found a proof!
% 7.63/2.99 % [INFO] Killing All external provers ...
% 7.63/2.99 % Time passed: 2663ms (effective reasoning time: 1430ms)
% 7.63/2.99 % 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)>
% 7.63/2.99 % Axioms used in derivation (4): ax, ax_002, ax1848, ax_001
% 7.63/2.99 % No. of inferences in proof: 12
% 7.63/2.99 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2663 ms resp. 1430 ms w/o parsing
% 8.20/3.04 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.20/3.04 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------