%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ALG397-1 : TPTP v9.3.1. Released v4.1.0.
% 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 : n005.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 06:46:52 AM UTC 2026
% Result : Unsatisfiable 24.52s 7.42s
% Output : Refutation 24.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 7 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 28 ( 3 ~; 0 |; 0 &; 25 @)
% ( 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 : 5 ( 4 usr; 3 con; 0-3 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant_decl,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant: $i > $i > $i > $o ).
thf(c_Polynomial_Opoly_decl,type,
c_Polynomial_Opoly: $i > $i > $i ).
thf(v_q_____decl,type,
v_q____: $i ).
thf(tc_Complex_Ocomplex_decl,type,
tc_Complex_Ocomplex: $i ).
thf(1,negated_conjecture,
tc_Complex_Ocomplex @ ( tc_Complex_Ocomplex @ ( tc_Complex_Ocomplex @ ( v_q____ @ c_Polynomial_Opoly ) @ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(646,plain,
tc_Complex_Ocomplex @ ( tc_Complex_Ocomplex @ ( tc_Complex_Ocomplex @ ( v_q____ @ c_Polynomial_Opoly ) @ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(611,axiom,
~ ( tc_Complex_Ocomplex @ ( tc_Complex_Ocomplex @ ( tc_Complex_Ocomplex @ ( v_q____ @ c_Polynomial_Opoly ) @ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
thf(2029,plain,
~ ( tc_Complex_Ocomplex @ ( tc_Complex_Ocomplex @ ( tc_Complex_Ocomplex @ ( v_q____ @ c_Polynomial_Opoly ) @ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[611]) ).
thf(2030,plain,
~ ( tc_Complex_Ocomplex @ ( tc_Complex_Ocomplex @ ( tc_Complex_Ocomplex @ ( v_q____ @ c_Polynomial_Opoly ) @ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant ) ) ),
inference(polarity_switch,[status(thm)],[2029]) ).
thf(2087,plain,
$false,
inference(rewrite,[status(thm)],[646,2030]) ).
thf(2088,plain,
$false,
inference(simp,[status(thm)],[2087]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG397-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.09 % 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
% 0.20/0.44 % Computer : n005.cluster.edu
% 0.20/0.44 % Model : x86_64 x86_64
% 0.20/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.44 % Memory : 8046.5625MB
% 0.20/0.44 % OS : Linux 6.8.0-71-generic
% 0.20/0.44 % CPULimit : 300
% 0.20/0.44 % WCLimit : 300
% 0.20/0.44 % DateTime : Sat Sep 26 21:57:31 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.45 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
% 1.28/1.27 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 3.06/1.88 % [INFO] Parsing done (602ms).
% 3.52/1.90 % [INFO] Running in sequential loop mode.
% 4.47/2.49 % [INFO] eprover registered as external prover.
% 4.67/2.51 % [INFO] Scanning for conjecture ...
% 5.60/2.81 % [INFO] Found a conjecture (or negated_conjecture) and 712 axioms. Running axiom selection ...
% 7.36/3.25 % [INFO] Axiom selection finished. Selected 644 axioms (removed 68 axioms).
% 9.27/3.71 % [INFO] Problem is propositional (TPTP CNF).
% 9.27/3.75 % [INFO] Type checking passed.
% 9.27/3.76 % [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 ...
% 24.52/7.41 % [INFO] Killing All external provers ...
% 24.52/7.41 % Time passed: 6796ms (effective reasoning time: 5498ms)
% 24.52/7.42 % Axioms used in derivation (1): cls_CHAINED_0
% 24.52/7.42 % No. of inferences in proof: 7
% 24.52/7.42 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 6796 ms resp. 5498 ms w/o parsing
% 24.52/7.45 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 24.52/7.45 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------