%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : COM009-2 : TPTP v9.3.1. Released v3.2.0.
% 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 : n003.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 06:57:51 AM UTC 2026
% Result : Unsatisfiable 3.49s 2.30s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 6 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 44 ( 6 ~; 6 |; 0 &; 32 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_UNITY_Ototalize_decl,type,
c_UNITY_Ototalize: $i > $i > $i ).
thf(v_F_decl,type,
v_F: $i ).
thf(t_a_decl,type,
t_a: $i ).
thf(c_UNITY_Oall__total_decl,type,
c_UNITY_Oall__total: $i > $i > $o ).
thf(1,negated_conjecture,
( ~ ( t_a @ ( v_F @ c_UNITY_Oall__total ) )
| ( ( t_a @ ( v_F @ c_UNITY_Ototalize ) )
!= v_F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(5,plain,
( ~ ( t_a @ ( v_F @ c_UNITY_Oall__total ) )
| ( ( t_a @ ( v_F @ c_UNITY_Ototalize ) )
!= v_F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
( ( ( t_a @ ( v_F @ c_UNITY_Ototalize ) )
= v_F )
| ( t_a @ ( v_F @ c_UNITY_Oall__total ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(6,plain,
( ( ( t_a @ ( v_F @ c_UNITY_Ototalize ) )
= v_F )
| ( t_a @ ( v_F @ c_UNITY_Oall__total ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ( ( B @ ( A @ c_UNITY_Ototalize ) )
= A )
| ~ ( B @ ( A @ c_UNITY_Oall__total ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNITY_Oall__total__imp__totalize_0) ).
thf(11,plain,
! [B: $i,A: $i] :
( ( ( B @ ( A @ c_UNITY_Ototalize ) )
= A )
| ~ ( B @ ( A @ c_UNITY_Oall__total ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [B: $i,A: $i] : ( B @ ( B @ ( A @ c_UNITY_Ototalize ) @ c_UNITY_Oall__total ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNITY_Oall__total__totalize_0) ).
thf(14,plain,
! [B: $i,A: $i] : ( B @ ( B @ ( A @ c_UNITY_Ototalize ) @ c_UNITY_Oall__total ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(19,plain,
$false,
inference(e,[status(thm)],[5,6,11,14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM009-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % 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
% 0.13/0.40 % Computer : n003.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sat Sep 26 23:22:25 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 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
% 0.86/1.00 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.25/1.18 % [INFO] Parsing done (176ms).
% 1.25/1.19 % [INFO] Running in sequential loop mode.
% 2.00/1.61 % [INFO] eprover registered as external prover.
% 2.00/1.62 % [INFO] Scanning for conjecture ...
% 2.19/1.71 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 2.19/1.75 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 2.19/1.75 % [INFO] Problem is propositional (TPTP CNF).
% 2.19/1.76 % [INFO] Type checking passed.
% 2.19/1.76 % [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 ...
% 3.49/2.30 % External prover 'e' found a proof!
% 3.49/2.30 % [INFO] Killing All external provers ...
% 3.49/2.30 % Time passed: 1749ms (effective reasoning time: 1105ms)
% 3.49/2.30 % Axioms used in derivation (2): cls_UNITY_Oall__total__imp__totalize_0, cls_UNITY_Oall__total__totalize_0
% 3.49/2.30 % No. of inferences in proof: 9
% 3.49/2.30 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1749 ms resp. 1105 ms w/o parsing
% 3.49/2.34 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.49/2.34 % [INFO] Killing All external provers ...
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