%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR109+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 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 : n016.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 : Sun Sep 27 07:01:51 AM UTC 2026
% Result : Theorem 11.77s 19.32s
% Output : Refutation 11.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 14
% Syntax : Number of formulae : 30 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 130 ( 14 equ; 0 cnn)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 348 ( 2 ~; 0 |; 62 &; 246 @)
% ( 2 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 66 ( 0 ^; 40 !; 26 ?; 66 :)
% Comments :
%------------------------------------------------------------------------------
thf(s__instance_decl,type,
s__instance: $i > $i > $o ).
thf(s__Creature50_1_decl,type,
s__Creature50_1: $i ).
thf(s__Reptile_decl,type,
s__Reptile: $i ).
thf(s__SetOrClass_decl,type,
s__SetOrClass: $i ).
thf(s__subclass_decl,type,
s__subclass: $i > $i > $o ).
thf(s__Animal_decl,type,
s__Animal: $i ).
thf(s__PlaneAngleMeasure_decl,type,
s__PlaneAngleMeasure: $i ).
thf(s__TangentFn_decl,type,
s__TangentFn: $i > $i ).
thf(divide_decl,type,
divide: $i > $i > $i ).
thf(s__SineFn_decl,type,
s__SineFn: $i > $i ).
thf(s__CosineFn_decl,type,
s__CosineFn: $i > $i ).
thf(s__Circle_decl,type,
s__Circle: $i ).
thf(s__CenterOfCircleFn_decl,type,
s__CenterOfCircleFn: $i > $i ).
thf(s__ComplexNumber_decl,type,
s__ComplexNumber: $i ).
thf(s__RealNumberFn_decl,type,
s__RealNumberFn: $i > $i ).
thf(s__ImaginaryPartFn_decl,type,
s__ImaginaryPartFn: $i > $i ).
thf(14,axiom,
! [A: $i] :
( ( s__ComplexNumber @ ( A @ s__instance ) )
=> ? [B: $i,C: $i] :
( ( C
= ( A @ s__ImaginaryPartFn ) )
& ( B
= ( A @ s__RealNumberFn ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_3322) ).
thf(56,plain,
! [A: $i] :
( ( s__ComplexNumber @ ( A @ s__instance ) )
=> ? [B: $i,C: $i] :
( ( C
= ( A @ s__ImaginaryPartFn ) )
& ( B
= ( A @ s__RealNumberFn ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( s__SetOrClass @ ( A @ s__instance ) )
& ( s__SetOrClass @ ( B @ s__instance ) )
& ( s__SetOrClass @ ( C @ s__instance ) ) )
=> ( ( ( C @ ( B @ s__subclass ) )
& ( B @ ( A @ s__subclass ) ) )
=> ( C @ ( A @ s__subclass ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_1294) ).
thf(20,plain,
! [A: $i,B: $i,C: $i] :
( ( ( s__SetOrClass @ ( A @ s__instance ) )
& ( s__SetOrClass @ ( B @ s__instance ) )
& ( s__SetOrClass @ ( C @ s__instance ) ) )
=> ( ( ( C @ ( B @ s__subclass ) )
& ( B @ ( A @ s__subclass ) ) )
=> ( C @ ( A @ s__subclass ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(13,axiom,
! [A: $i] :
( ( s__Circle @ ( A @ s__instance ) )
=> ? [B: $i] :
( ( A @ s__CenterOfCircleFn )
= B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_4175) ).
thf(53,plain,
! [A: $i] :
( ( s__Circle @ ( A @ s__instance ) )
=> ? [B: $i] :
( ( A @ s__CenterOfCircleFn )
= B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(5,axiom,
s__Animal @ ( s__Reptile @ s__subclass ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMOcache_7275) ).
thf(22,plain,
s__Animal @ ( s__Reptile @ s__subclass ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(11,axiom,
s__Animal @ ( s__Creature50_1 @ s__instance ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_1) ).
thf(49,plain,
s__Animal @ ( s__Creature50_1 @ s__instance ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(15,axiom,
( ( s__Animal @ ( s__Reptile @ s__subclass ) )
=> ? [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
( ( A @ ( s__Creature50_1 @ s__instance ) )
& ( s__Reptile @ ( J @ s__subclass ) )
& ( J @ ( I @ s__subclass ) )
& ( I @ ( H @ s__subclass ) )
& ( H @ ( G @ s__subclass ) )
& ( G @ ( F @ s__subclass ) )
& ( F @ ( E @ s__subclass ) )
& ( E @ ( D @ s__subclass ) )
& ( D @ ( C @ s__subclass ) )
& ( C @ ( B @ s__subclass ) )
& ( B @ ( A @ s__subclass ) )
& ( s__SetOrClass @ ( J @ s__instance ) )
& ( s__SetOrClass @ ( I @ s__instance ) )
& ( s__SetOrClass @ ( H @ s__instance ) )
& ( s__SetOrClass @ ( G @ s__instance ) )
& ( s__SetOrClass @ ( F @ s__instance ) )
& ( s__SetOrClass @ ( E @ s__instance ) )
& ( s__SetOrClass @ ( D @ s__instance ) )
& ( s__SetOrClass @ ( C @ s__instance ) )
& ( s__SetOrClass @ ( B @ s__instance ) )
& ( s__SetOrClass @ ( A @ s__instance ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_2) ).
thf(63,plain,
( ( s__Animal @ ( s__Reptile @ s__subclass ) )
=> ? [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
( ( A @ ( s__Creature50_1 @ s__instance ) )
& ( s__Reptile @ ( J @ s__subclass ) )
& ( J @ ( I @ s__subclass ) )
& ( I @ ( H @ s__subclass ) )
& ( H @ ( G @ s__subclass ) )
& ( G @ ( F @ s__subclass ) )
& ( F @ ( E @ s__subclass ) )
& ( E @ ( D @ s__subclass ) )
& ( D @ ( C @ s__subclass ) )
& ( C @ ( B @ s__subclass ) )
& ( B @ ( A @ s__subclass ) )
& ( s__SetOrClass @ ( J @ s__instance ) )
& ( s__SetOrClass @ ( I @ s__instance ) )
& ( s__SetOrClass @ ( H @ s__instance ) )
& ( s__SetOrClass @ ( G @ s__instance ) )
& ( s__SetOrClass @ ( F @ s__instance ) )
& ( s__SetOrClass @ ( E @ s__instance ) )
& ( s__SetOrClass @ ( D @ s__instance ) )
& ( s__SetOrClass @ ( C @ s__instance ) )
& ( s__SetOrClass @ ( B @ s__instance ) )
& ( s__SetOrClass @ ( A @ s__instance ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ s__subclass ) )
=> ( ( s__SetOrClass @ ( B @ s__instance ) )
& ( s__SetOrClass @ ( A @ s__instance ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_26) ).
thf(36,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ s__subclass ) )
=> ( ( s__SetOrClass @ ( B @ s__instance ) )
& ( s__SetOrClass @ ( A @ s__instance ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(8,axiom,
! [A: $i] :
( ( s__SetOrClass @ ( A @ s__instance ) )
=> ( A @ ( A @ s__subclass ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_987) ).
thf(34,plain,
! [A: $i] :
( ( s__SetOrClass @ ( A @ s__instance ) )
=> ( A @ ( A @ s__subclass ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( ( s__SetOrClass @ ( A @ s__instance ) )
& ( s__SetOrClass @ ( B @ s__instance ) ) )
=> ( ( ( A @ ( B @ s__subclass ) )
& ( B @ ( A @ s__subclass ) ) )
=> ( A = B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_1220) ).
thf(17,plain,
! [A: $i,B: $i] :
( ( ( s__SetOrClass @ ( A @ s__instance ) )
& ( s__SetOrClass @ ( B @ s__instance ) ) )
=> ( ( ( A @ ( B @ s__subclass ) )
& ( B @ ( A @ s__subclass ) ) )
=> ( A = B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(12,axiom,
! [A: $i] :
( ( s__PlaneAngleMeasure @ ( A @ s__instance ) )
=> ( ( A @ s__TangentFn )
= ( A @ s__CosineFn @ ( A @ s__SineFn @ divide ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_3440) ).
thf(50,plain,
! [A: $i] :
( ( s__PlaneAngleMeasure @ ( A @ s__instance ) )
=> ( ( A @ s__TangentFn )
= ( A @ s__CosineFn @ ( A @ s__SineFn @ divide ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(1,conjecture,
s__Reptile @ ( s__Creature50_1 @ s__instance ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO) ).
thf(2,negated_conjecture,
~ ( s__Reptile @ ( s__Creature50_1 @ s__instance ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(16,plain,
~ ( s__Reptile @ ( s__Creature50_1 @ s__instance ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( s__SetOrClass @ ( A @ s__instance ) )
& ( s__SetOrClass @ ( B @ s__instance ) ) )
=> ( ( ( A @ ( C @ s__instance ) )
& ( B @ ( A @ s__subclass ) ) )
=> ( B @ ( C @ s__instance ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_27) ).
thf(31,plain,
! [A: $i,B: $i,C: $i] :
( ( ( s__SetOrClass @ ( A @ s__instance ) )
& ( s__SetOrClass @ ( B @ s__instance ) ) )
=> ( ( ( A @ ( C @ s__instance ) )
& ( B @ ( A @ s__subclass ) ) )
=> ( B @ ( C @ s__instance ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( A = B )
=> ! [C: $i] :
( ( ( s__SetOrClass @ ( A @ s__instance ) )
& ( s__SetOrClass @ ( B @ s__instance ) ) )
=> ( ( A @ ( C @ s__instance ) )
<=> ( B @ ( C @ s__instance ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_174) ).
thf(40,plain,
! [A: $i,B: $i] :
( ( A = B )
=> ! [C: $i] :
( ( ( s__SetOrClass @ ( A @ s__instance ) )
& ( s__SetOrClass @ ( B @ s__instance ) ) )
=> ( ( ( B @ ( C @ s__instance ) )
=> ( A @ ( C @ s__instance ) ) )
& ( ( A @ ( C @ s__instance ) )
=> ( B @ ( C @ s__instance ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( B = A )
=> ! [C: $i] :
( ( s__SetOrClass @ ( C @ s__instance ) )
=> ( ( C @ ( B @ s__instance ) )
<=> ( C @ ( A @ s__instance ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_173) ).
thf(23,plain,
! [A: $i,B: $i] :
( ( B = A )
=> ! [C: $i] :
( ( s__SetOrClass @ ( C @ s__instance ) )
=> ( ( ( C @ ( A @ s__instance ) )
=> ( C @ ( B @ s__instance ) ) )
& ( ( C @ ( B @ s__instance ) )
=> ( C @ ( A @ s__instance ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(91,plain,
$false,
inference(e,[status(thm)],[56,20,53,22,49,63,36,34,17,50,16,31,40,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR109+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 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
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.13/15.89 % CPULimit : 300
% 0.13/15.89 % WCLimit : 300
% 0.13/15.89 % DateTime : Sun Sep 27 01:00:19 UTC 2026
% 0.13/15.90 % CPUTime :
% 0.37/15.90 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
% 0.91/16.20 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 3.90/17.03 % [INFO] Parsing done (827ms).
% 4.46/17.05 % [INFO] Running in sequential loop mode.
% 5.59/17.42 % [INFO] eprover registered as external prover.
% 5.59/17.43 % [INFO] Scanning for conjecture ...
% 7.55/17.97 % [INFO] Found a conjecture (or negated_conjecture) and 14789 axioms. Running axiom selection ...
% 9.12/18.44 % [INFO] Axiom selection finished. Selected 13 axioms (removed 14776 axioms).
% 9.47/18.50 % [INFO] Problem is first-order (TPTP FOF).
% 9.47/18.51 % [INFO] Type checking passed.
% 9.47/18.51 % [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 ...
% 11.77/19.32 % External prover 'e' found a proof!
% 11.77/19.32 % [INFO] Killing All external provers ...
% 11.77/19.32 % Time passed: 3317ms (effective reasoning time: 2256ms)
% 11.77/19.32 % 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)>
% 11.77/19.32 % Axioms used in derivation (13): kb_SUMO_987, kb_SUMO_3440, kb_SUMOcache_7275, local_1, kb_SUMO_173, kb_SUMO_174, kb_SUMO_27, kb_SUMO_3322, kb_SUMO_26, kb_SUMO_4175, kb_SUMO_1220, kb_SUMO_1294, local_2
% 11.77/19.32 % No. of inferences in proof: 30
% 11.77/19.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3317 ms resp. 2256 ms w/o parsing
% 11.77/19.37 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.77/19.37 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------