%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LCL104-1 : TPTP v9.3.1. Released v1.0.0.
% 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 : n020.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 07:50:49 AM UTC 2026
% Result : Unsatisfiable 4.88s 3.40s
% Output : Refutation 5.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 102 ( 6 ~; 4 |; 0 &; 92 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 0 ^; 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(is_a_theorem_decl,type,
is_a_theorem: $i > $o ).
thf(equivalent_decl,type,
equivalent: $i > $i > $i ).
thf(a_decl,type,
a: $i ).
thf(b_decl,type,
b: $i ).
thf(c_decl,type,
c: $i ).
thf(e_decl,type,
e: $i ).
thf(1,negated_conjecture,
~ ( c @ ( e @ ( a @ equivalent ) @ equivalent ) @ ( b @ ( e @ equivalent ) @ equivalent ) @ ( c @ ( b @ ( a @ equivalent ) @ equivalent ) @ equivalent ) @ is_a_theorem ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p_1) ).
thf(5,plain,
~ ( c @ ( e @ ( a @ equivalent ) @ equivalent ) @ ( b @ ( e @ equivalent ) @ equivalent ) @ ( c @ ( b @ ( a @ equivalent ) @ equivalent ) @ equivalent ) @ is_a_theorem ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,axiom,
! [B: $i,A: $i] :
( ( B @ is_a_theorem )
| ~ ( A @ is_a_theorem )
| ~ ( B @ ( A @ equivalent ) @ is_a_theorem ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
thf(7,plain,
! [B: $i,A: $i] :
( ( B @ is_a_theorem )
| ~ ( A @ is_a_theorem )
| ~ ( B @ ( A @ equivalent ) @ is_a_theorem ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [D: $i,C: $i,B: $i,A: $i] : ( A @ ( D @ ( C @ equivalent ) @ ( D @ ( B @ equivalent ) @ ( C @ ( B @ equivalent ) @ equivalent ) @ equivalent ) @ equivalent ) @ ( A @ equivalent ) @ is_a_theorem ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_4) ).
thf(9,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( A @ ( D @ ( C @ equivalent ) @ ( D @ ( B @ equivalent ) @ ( C @ ( B @ equivalent ) @ equivalent ) @ equivalent ) @ equivalent ) @ ( A @ equivalent ) @ is_a_theorem ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] : ( C @ ( C @ ( A @ ( B @ equivalent ) @ equivalent ) @ ( B @ ( A @ equivalent ) @ equivalent ) @ equivalent ) @ is_a_theorem ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_3) ).
thf(10,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( C @ ( A @ ( B @ equivalent ) @ equivalent ) @ ( B @ ( A @ equivalent ) @ equivalent ) @ equivalent ) @ is_a_theorem ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(63,plain,
$false,
inference(e,[status(thm)],[5,7,9,10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL104-1 : TPTP v9.3.1. Released v1.0.0.
% 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
% 0.12/0.39 % Computer : n020.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Fri Sep 25 21:52:04 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 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
% 0.82/1.02 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.22/1.21 % [INFO] Parsing done (185ms).
% 1.22/1.22 % [INFO] Running in sequential loop mode.
% 1.67/1.66 % [INFO] eprover registered as external prover.
% 1.67/1.67 % [INFO] Scanning for conjecture ...
% 1.84/1.77 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 1.96/1.82 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 1.96/1.84 % [INFO] Problem is propositional (TPTP CNF).
% 1.96/1.84 % [INFO] Type checking passed.
% 1.96/1.85 % [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 ...
% 4.88/3.39 % External prover 'e' found a proof!
% 4.88/3.39 % [INFO] Killing All external provers ...
% 4.88/3.39 % Time passed: 2866ms (effective reasoning time: 2160ms)
% 4.88/3.39 % Axioms used in derivation (3): condensed_detachment, p_4, q_3
% 4.88/3.39 % No. of inferences in proof: 9
% 4.88/3.40 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2866 ms resp. 2160 ms w/o parsing
% 5.13/3.44 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.13/3.44 % [INFO] Killing All external provers ...
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