%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CAT019-2 : TPTP v9.3.1. Released v1.0.0.
% 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 : n018.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 06:55:24 AM UTC 2026
% Result : Unsatisfiable 3.54s 12.30s
% Output : Refutation 3.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 13 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 4 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 0 ^; 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(c2_decl,type,
c2: $i ).
thf(c1_decl,type,
c1: $i ).
thf(9,axiom,
! [A: $i] :
( ( c1 = A )
| ( c2 != A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality_to_c1_and_c2_1) ).
thf(31,plain,
! [A: $i] :
( ( c1 = A )
| ( c2 != A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(32,plain,
! [A: $i] :
( ( c1 = A )
| ( c2 != A ) ),
inference(cnf,[status(esa)],[31]) ).
thf(33,plain,
! [A: $i] :
( ( c1 = A )
| ( c2 != A ) ),
inference(lifteq,[status(thm)],[32]) ).
thf(34,plain,
c1 = c2,
inference(simp,[status(thm)],[33]) ).
thf(1,negated_conjecture,
c2 != c1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c1_equals_c2) ).
thf(11,plain,
c2 != c1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(12,plain,
c2 != c1,
inference(polarity_switch,[status(thm)],[11]) ).
thf(13,plain,
c1 != c2,
inference(lifteq,[status(thm)],[12]) ).
thf(39,plain,
$false,
inference(simplifyReflect,[status(thm)],[34,13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT019-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % 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
% 0.15/10.42 % Computer : n018.cluster.edu
% 0.15/10.42 % Model : x86_64 x86_64
% 0.15/10.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/10.42 % Memory : 8046.5625MB
% 0.15/10.42 % OS : Linux 6.8.0-71-generic
% 0.15/10.42 % CPULimit : 300
% 0.15/10.42 % WCLimit : 300
% 0.15/10.42 % DateTime : Sat Sep 26 22:52:49 UTC 2026
% 0.15/10.42 % CPUTime :
% 0.15/10.42 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
% 0.19/11.02 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.36/11.21 % [INFO] Parsing done (189ms).
% 1.36/11.22 % [INFO] Running in sequential loop mode.
% 2.02/11.63 % [INFO] eprover registered as external prover.
% 2.02/11.64 % [INFO] Scanning for conjecture ...
% 2.22/11.72 % [INFO] Found a conjecture (or negated_conjecture) and 9 axioms. Running axiom selection ...
% 2.22/11.75 % [INFO] Axiom selection finished. Selected 9 axioms (removed 0 axioms).
% 2.22/11.77 % [INFO] Problem is propositional (TPTP CNF).
% 2.22/11.78 % [INFO] Type checking passed.
% 2.22/11.79 % [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 ...
% 3.25/12.30 % [INFO] Killing All external provers ...
% 3.54/12.30 % Time passed: 1728ms (effective reasoning time: 1068ms)
% 3.54/12.30 % Axioms used in derivation (1): equality_to_c1_and_c2_1
% 3.54/12.30 % No. of inferences in proof: 10
% 3.54/12.30 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1728 ms resp. 1068 ms w/o parsing
% 3.54/12.33 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.54/12.33 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------