%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR098+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 : n001.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 07:01:22 AM UTC 2026
% Result : Theorem 13.40s 4.56s
% Output : Refutation 13.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 10 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 2 ~; 0 |; 2 &; 42 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 12 ( 0 ^; 6 !; 6 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(s__instance_decl,type,
s__instance: $i > $i > $o ).
thf(s__Animal29_1_decl,type,
s__Animal29_1: $i ).
thf(s__Amphibian_decl,type,
s__Amphibian: $i ).
thf(s__Animal_decl,type,
s__Animal: $i ).
thf(s__Frog29_1_decl,type,
s__Frog29_1: $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(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(3,axiom,
s__Animal @ ( s__Animal29_1 @ s__instance ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_2) ).
thf(10,plain,
s__Animal @ ( s__Animal29_1 @ s__instance ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,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(24,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)],[8]) ).
thf(1,conjecture,
s__Amphibian @ ( s__Animal29_1 @ s__instance ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO) ).
thf(2,negated_conjecture,
~ ( s__Amphibian @ ( s__Animal29_1 @ s__instance ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(9,plain,
~ ( s__Amphibian @ ( s__Animal29_1 @ s__instance ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,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(13,plain,
! [A: $i] :
( ( s__Circle @ ( A @ s__instance ) )
=> ? [B: $i] :
( ( A @ s__CenterOfCircleFn )
= B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,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(17,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)],[7]) ).
thf(6,axiom,
s__Amphibian @ ( s__Frog29_1 @ s__instance ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_1) ).
thf(16,plain,
s__Amphibian @ ( s__Frog29_1 @ s__instance ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
s__Frog29_1 = s__Animal29_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_3) ).
thf(11,plain,
s__Frog29_1 = s__Animal29_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(27,plain,
$false,
inference(e,[status(thm)],[10,24,9,13,17,16,11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR098+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 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
% 0.15/0.42 % Computer : n001.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sun Sep 27 00:59:29 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 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
% 1.02/1.09 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 6.32/2.43 % [INFO] Parsing done (1341ms).
% 6.32/2.46 % [INFO] Running in sequential loop mode.
% 7.01/2.89 % [INFO] eprover registered as external prover.
% 7.01/2.90 % [INFO] Scanning for conjecture ...
% 9.65/3.56 % [INFO] Found a conjecture (or negated_conjecture) and 14790 axioms. Running axiom selection ...
% 10.56/3.86 % [INFO] Axiom selection finished. Selected 6 axioms (removed 14784 axioms).
% 10.56/3.88 % [INFO] Problem is first-order (TPTP FOF).
% 10.56/3.89 % [INFO] Type checking passed.
% 10.56/3.89 % [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 ...
% 13.40/4.56 % External prover 'e' found a proof!
% 13.40/4.56 % [INFO] Killing All external provers ...
% 13.40/4.56 % Time passed: 3964ms (effective reasoning time: 2085ms)
% 13.40/4.56 % 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)>
% 13.40/4.56 % Axioms used in derivation (6): kb_SUMO_4175, kb_SUMO_3440, local_2, local_1, local_3, kb_SUMO_3322
% 13.40/4.56 % No. of inferences in proof: 16
% 13.40/4.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3964 ms resp. 2085 ms w/o parsing
% 13.71/4.60 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.71/4.60 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------