%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN097-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 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 : n014.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 09:16:48 AM UTC 2026
% Result : Unsatisfiable 5.08s 2.93s
% Output : Refutation 5.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 26
% Syntax : Number of formulae : 53 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 127 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 126 ( 52 ~; 74 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 19 usr; 20 con; 0-0 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(u_1_decl,type,
u_1: $o ).
thf(p_1_2_decl,type,
p_1_2: $o ).
thf(q_1_2_decl,type,
q_1_2: $o ).
thf(u_5_decl,type,
u_5: $o ).
thf(u_4_decl,type,
u_4: $o ).
thf(p_2_2_decl,type,
p_2_2: $o ).
thf(u_12_decl,type,
u_12: $o ).
thf(u_7_decl,type,
u_7: $o ).
thf(q_1_1_decl,type,
q_1_1: $o ).
thf(u_8_decl,type,
u_8: $o ).
thf(p_1_1_decl,type,
p_1_1: $o ).
thf(u_10_decl,type,
u_10: $o ).
thf(u_11_decl,type,
u_11: $o ).
thf(q_2_2_decl,type,
q_2_2: $o ).
thf(u_13_decl,type,
u_13: $o ).
thf(u_9_decl,type,
u_9: $o ).
thf(u_6_decl,type,
u_6: $o ).
thf(u_2_decl,type,
u_2: $o ).
thf(u_3_decl,type,
u_3: $o ).
thf(22,axiom,
( ~ p_1_1
| ~ p_2_2
| p_1_2
| u_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s2_type11_1) ).
thf(69,plain,
( ~ p_1_1
| ~ p_2_2
| p_1_2
| u_2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(6,axiom,
( ~ u_8
| p_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_8_s2_type22_1) ).
thf(37,plain,
( ~ u_8
| p_2_2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(18,axiom,
( ~ u_7
| q_1_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_7_s2_type21_2) ).
thf(61,plain,
( ~ u_7
| q_1_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(4,axiom,
( ~ u_12
| p_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_12_t2_3) ).
thf(33,plain,
( ~ u_12
| p_2_2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(20,axiom,
( ~ u_2
| p_1_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_2_s2_type11_1) ).
thf(65,plain,
( ~ u_2
| p_1_2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(14,axiom,
( ~ u_13
| q_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_13_t2_4) ).
thf(53,plain,
( ~ u_13
| q_2_2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(26,axiom,
( ~ q_1_1
| ~ q_2_2
| p_1_2
| u_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s2_type11_2) ).
thf(77,plain,
( ~ q_1_1
| ~ q_2_2
| p_1_2
| u_3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(8,axiom,
( ~ u_10
| p_1_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_10_t2_1) ).
thf(41,plain,
( ~ u_10
| p_1_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(24,axiom,
( ~ u_3
| p_1_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_3_s2_type11_2) ).
thf(73,plain,
( ~ u_3
| p_1_2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(10,axiom,
( ~ p_1_1
| ~ q_2_2
| q_1_2
| u_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s2_type12_2) ).
thf(45,plain,
( ~ p_1_1
| ~ q_2_2
| q_1_2
| u_5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(7,axiom,
( p_2_2
| u_12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t2_3) ).
thf(39,plain,
( p_2_2
| u_12 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
( ~ q_1_2
| q_1_1
| u_7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s2_type21_2) ).
thf(35,plain,
( ~ q_1_2
| q_1_1
| u_7 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(19,axiom,
( ~ u_11
| q_1_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_11_t2_2) ).
thf(63,plain,
( ~ u_11
| q_1_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(9,axiom,
( q_1_1
| u_11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t2_2) ).
thf(43,plain,
( q_1_1
| u_11 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(15,axiom,
( ~ q_1_2
| q_2_2
| u_9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s2_type22_2) ).
thf(55,plain,
( ~ q_1_2
| q_2_2
| u_9 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(25,axiom,
~ u_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_1_s2_goal_1) ).
thf(75,plain,
~ u_1,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(13,axiom,
( ~ q_1_1
| ~ p_2_2
| q_1_2
| u_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s2_type12_1) ).
thf(51,plain,
( ~ q_1_1
| ~ p_2_2
| q_1_2
| u_4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(11,axiom,
( q_2_2
| u_13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t2_4) ).
thf(47,plain,
( q_2_2
| u_13 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(16,axiom,
( p_1_1
| u_10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t2_1) ).
thf(57,plain,
( p_1_1
| u_10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(2,axiom,
( ~ u_5
| q_1_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_5_s2_type12_2) ).
thf(29,plain,
( ~ u_5
| q_1_2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(17,axiom,
( ~ u_6
| p_1_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_6_s2_type21_1) ).
thf(59,plain,
( ~ u_6
| p_1_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(1,negated_conjecture,
( ~ p_1_2
| u_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s2_goal_1) ).
thf(27,plain,
( ~ p_1_2
| u_1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(23,axiom,
( ~ p_1_2
| p_2_2
| u_8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s2_type22_1) ).
thf(71,plain,
( ~ p_1_2
| p_2_2
| u_8 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(12,axiom,
( ~ u_9
| q_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_9_s2_type22_2) ).
thf(49,plain,
( ~ u_9
| q_2_2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(21,axiom,
( ~ p_1_2
| p_1_1
| u_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s2_type21_1) ).
thf(67,plain,
( ~ p_1_2
| p_1_1
| u_6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(3,axiom,
( ~ u_4
| q_1_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_4_s2_type12_1) ).
thf(31,plain,
( ~ u_4
| q_1_2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(81,plain,
$false,
inference(e,[status(thm)],[69,37,61,33,65,53,77,41,73,45,39,35,63,43,55,75,51,47,57,29,59,27,71,49,67,31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN097-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.11 % 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
% 0.21/0.47 % Computer : n014.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.48 % CPULimit : 300
% 0.21/0.48 % WCLimit : 300
% 0.21/0.48 % DateTime : Sat Sep 26 17:10:46 UTC 2026
% 0.21/0.48 % CPUTime :
% 0.21/0.48 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
% 1.10/1.08 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.65/1.30 % [INFO] Parsing done (211ms).
% 1.65/1.32 % [INFO] Running in sequential loop mode.
% 2.70/1.90 % [INFO] eprover registered as external prover.
% 2.70/1.91 % [INFO] Scanning for conjecture ...
% 2.70/2.03 % [INFO] Found a conjecture (or negated_conjecture) and 51 axioms. Running axiom selection ...
% 2.99/2.10 % [INFO] Axiom selection finished. Selected 25 axioms (removed 26 axioms).
% 2.99/2.12 % [INFO] Problem is propositional (TPTP CNF).
% 2.99/2.13 % [INFO] Type checking passed.
% 2.99/2.13 % [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 ...
% 5.08/2.92 % External prover 'e' found a proof!
% 5.08/2.92 % [INFO] Killing All external provers ...
% 5.08/2.92 % Time passed: 2265ms (effective reasoning time: 1594ms)
% 5.08/2.92 % Axioms used in derivation (25): u_s2_type22_1, u_3_s2_type11_2, u_4_s2_type12_1, u_12_t2_3, u_13_t2_4, u_s2_type22_2, u_t2_3, u_s2_type21_2, u_s2_type12_1, u_11_t2_2, u_5_s2_type12_2, u_s2_type11_2, u_t2_1, u_7_s2_type21_2, u_6_s2_type21_1, u_s2_type21_1, u_8_s2_type22_1, u_t2_4, u_2_s2_type11_1, u_s2_type12_2, u_1_s2_goal_1, u_9_s2_type22_2, u_t2_2, u_10_t2_1, u_s2_type11_1
% 5.08/2.92 % No. of inferences in proof: 53
% 5.08/2.93 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2265 ms resp. 1594 ms w/o parsing
% 5.08/2.97 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.08/2.97 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------