%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN085-1.010 : 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 : n010.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 09:16:47 AM UTC 2026
% Result : Unsatisfiable 2.18s 1.39s
% Output : Refutation 2.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 12
% Syntax : Number of formulae : 25 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 45 ( 0 equ; 0 cnn)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 42 ( 22 ~; 20 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 11 usr; 12 con; 0-0 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(p_0_decl,type,
p_0: $o ).
thf(p_1_decl,type,
p_1: $o ).
thf(p_2_decl,type,
p_2: $o ).
thf(p_3_decl,type,
p_3: $o ).
thf(p_4_decl,type,
p_4: $o ).
thf(p_5_decl,type,
p_5: $o ).
thf(p_6_decl,type,
p_6: $o ).
thf(p_7_decl,type,
p_7: $o ).
thf(p_8_decl,type,
p_8: $o ).
thf(p_9_decl,type,
p_9: $o ).
thf(p_10_decl,type,
p_10: $o ).
thf(6,axiom,
p_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_5) ).
thf(20,plain,
p_4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(7,axiom,
p_5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_6) ).
thf(21,plain,
p_5,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,negated_conjecture,
~ p_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_goal_1) ).
thf(13,plain,
~ p_0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,axiom,
p_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_2) ).
thf(17,plain,
p_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
p_6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_7) ).
thf(22,plain,
p_6,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(4,axiom,
p_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_3) ).
thf(18,plain,
p_2,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
p_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_4) ).
thf(19,plain,
p_3,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(2,axiom,
( ~ p_10
| ~ p_9
| ~ p_8
| ~ p_7
| ~ p_6
| ~ p_5
| ~ p_4
| ~ p_3
| ~ p_2
| ~ p_1
| p_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_1) ).
thf(15,plain,
( ~ p_10
| ~ p_9
| ~ p_8
| ~ p_7
| ~ p_6
| ~ p_5
| ~ p_4
| ~ p_3
| ~ p_2
| ~ p_1
| p_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(10,axiom,
p_8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_9) ).
thf(24,plain,
p_8,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(11,axiom,
p_9,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_10) ).
thf(25,plain,
p_9,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(12,axiom,
p_10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_11) ).
thf(26,plain,
p_10,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(9,axiom,
p_7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_8) ).
thf(23,plain,
p_7,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(27,plain,
$false,
inference(e,[status(thm)],[20,21,13,17,22,18,19,15,24,25,26,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN085-1.010 : TPTP v9.3.1. Released v1.0.0.
% 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
% 0.12/0.38 % Computer : n010.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sat Sep 26 17:11:15 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 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
% 0.61/0.68 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.74/0.77 % [INFO] Parsing done (89ms).
% 0.74/0.78 % [INFO] Running in sequential loop mode.
% 1.16/0.97 % [INFO] eprover registered as external prover.
% 1.16/0.97 % [INFO] Scanning for conjecture ...
% 1.16/1.01 % [INFO] Found a conjecture (or negated_conjecture) and 11 axioms. Running axiom selection ...
% 1.16/1.02 % [INFO] Axiom selection finished. Selected 11 axioms (removed 0 axioms).
% 1.48/1.03 % [INFO] Problem is propositional (TPTP CNF).
% 1.48/1.03 % [INFO] Type checking passed.
% 1.48/1.03 % [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 ...
% 2.18/1.39 % External prover 'e' found a proof!
% 2.18/1.39 % [INFO] Killing All external provers ...
% 2.18/1.39 % Time passed: 923ms (effective reasoning time: 605ms)
% 2.18/1.39 % Axioms used in derivation (11): s1_4, s1_7, s1_5, s1_2, s1_8, s1_6, s1_1, s1_10, s1_9, s1_11, s1_3
% 2.18/1.39 % No. of inferences in proof: 25
% 2.18/1.39 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 923 ms resp. 605 ms w/o parsing
% 2.50/1.43 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.50/1.43 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------