%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN579-1 : TPTP v9.3.1. Released v2.5.0.
% 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 : n026.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 09:17:54 AM UTC 2026
% Result : Unsatisfiable 4.50s 2.62s
% Output : Refutation 4.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 23
% Syntax : Number of formulae : 47 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 101 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 366 ( 54 ~; 54 |; 0 &; 258 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 84 ( 0 ^; 84 !; 0 ?; 84 :)
% Comments :
%------------------------------------------------------------------------------
thf(p10_decl,type,
p10: $i > $i > $o ).
thf(p7_decl,type,
p7: $i > $i > $o ).
thf(p3_decl,type,
p3: $i > $i > $o ).
thf(p2_decl,type,
p2: $i > $i > $o ).
thf(p9_decl,type,
p9: $i > $i > $o ).
thf(c12_decl,type,
c12: $i ).
thf(c13_decl,type,
c13: $i ).
thf(p11_decl,type,
p11: $i > $i > $o ).
thf(c14_decl,type,
c14: $i ).
thf(c15_decl,type,
c15: $i ).
thf(c16_decl,type,
c16: $i ).
thf(f5_decl,type,
f5: $i > $i ).
thf(f4_decl,type,
f4: $i > $i ).
thf(f6_decl,type,
f6: $i > $i ).
thf(f8_decl,type,
f8: $i > $i > $i ).
thf(11,negated_conjecture,
! [A: $i] :
( ~ ( c13 @ ( A @ p9 ) )
| ( c16 @ f6 @ ( A @ p9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_11) ).
thf(41,plain,
! [A: $i] :
( ~ ( c13 @ ( A @ p9 ) )
| ( c16 @ f6 @ ( A @ p9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(18,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_18) ).
thf(39,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(22,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( c12 @ p9 ) )
| ~ ( c15 @ ( B @ p11 ) )
| ( B @ f6 @ ( B @ ( A @ f8 ) @ p9 ) )
| ( A @ ( B @ ( A @ f8 ) @ p9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_22) ).
thf(35,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( c12 @ p9 ) )
| ~ ( c15 @ ( B @ p11 ) )
| ( B @ f6 @ ( B @ ( A @ f8 ) @ p9 ) )
| ( A @ ( B @ ( A @ f8 ) @ p9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(9,negated_conjecture,
! [A: $i] : ( A @ f6 @ ( A @ f5 @ f6 @ p3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_9) ).
thf(31,plain,
! [A: $i] : ( A @ f6 @ ( A @ f5 @ f6 @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(8,negated_conjecture,
! [A: $i] : ( A @ f4 @ ( A @ f5 @ f4 @ p3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).
thf(43,plain,
! [A: $i] : ( A @ f4 @ ( A @ f5 @ f4 @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(23,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ f6 @ ( A @ ( B @ f8 ) @ p9 ) )
| ~ ( B @ ( A @ ( B @ f8 ) @ p9 ) )
| ~ ( B @ ( c12 @ p9 ) )
| ~ ( c15 @ ( A @ p11 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_23) ).
thf(42,plain,
! [B: $i,A: $i] :
( ~ ( A @ f6 @ ( A @ ( B @ f8 ) @ p9 ) )
| ~ ( B @ ( A @ ( B @ f8 ) @ p9 ) )
| ~ ( B @ ( c12 @ p9 ) )
| ~ ( c15 @ ( A @ p11 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(5,negated_conjecture,
c13 @ ( c12 @ p9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_5) ).
thf(24,plain,
c13 @ ( c12 @ p9 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,negated_conjecture,
c14 @ f5 @ ( c16 @ p2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
thf(37,plain,
c14 @ f5 @ ( c16 @ p2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(10,negated_conjecture,
! [A: $i] :
( ~ ( c16 @ f6 @ ( A @ p9 ) )
| ( c13 @ ( A @ p9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_10) ).
thf(25,plain,
! [A: $i] :
( ~ ( c16 @ f6 @ ( A @ p9 ) )
| ( c13 @ ( A @ p9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(15,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p10 ) )
| ~ ( A @ ( C @ p10 ) )
| ( B @ ( A @ p10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_15) ).
thf(46,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p10 ) )
| ~ ( A @ ( C @ p10 ) )
| ( B @ ( A @ p10 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(6,negated_conjecture,
c15 @ ( c14 @ p11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_6) ).
thf(29,plain,
c15 @ ( c14 @ p11 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(2,negated_conjecture,
! [A: $i] : ( A @ ( A @ p7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
thf(33,plain,
! [A: $i] : ( A @ ( A @ p7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(1,negated_conjecture,
! [A: $i] : ( A @ ( A @ p10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).
thf(28,plain,
! [A: $i] : ( A @ ( A @ p10 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,negated_conjecture,
! [A: $i] : ( A @ ( A @ p3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_3) ).
thf(38,plain,
! [A: $i] : ( A @ ( A @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,negated_conjecture,
! [A: $i] : ( A @ ( A @ p2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
thf(45,plain,
! [A: $i] : ( A @ ( A @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(13,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f6 @ ( A @ f6 @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_13) ).
thf(32,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f6 @ ( A @ f6 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(17,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_17) ).
thf(34,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(19,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p10 ) )
| ~ ( A @ ( C @ p2 ) )
| ~ ( D @ ( C @ p11 ) )
| ( B @ ( A @ p11 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_19) ).
thf(44,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p10 ) )
| ~ ( A @ ( C @ p2 ) )
| ~ ( D @ ( C @ p11 ) )
| ( B @ ( A @ p11 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(20,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p3 ) )
| ~ ( D @ ( C @ p9 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_20) ).
thf(27,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p3 ) )
| ~ ( D @ ( C @ p9 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(16,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_16) ).
thf(40,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(14,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_14) ).
thf(26,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(12,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f5 @ ( A @ f5 @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
thf(36,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f5 @ ( A @ f5 @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(21,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p3 ) )
| ~ ( D @ ( B @ p2 ) )
| ( D @ ( C @ f8 ) @ ( B @ ( A @ f8 ) @ p7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_21) ).
thf(30,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p3 ) )
| ~ ( D @ ( B @ p2 ) )
| ( D @ ( C @ f8 ) @ ( B @ ( A @ f8 ) @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(86,plain,
$false,
inference(e,[status(thm)],[41,39,35,31,43,42,24,37,25,46,29,33,28,38,45,32,34,44,27,40,26,36,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN579-1 : TPTP v9.3.1. Released v2.5.0.
% 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
% 0.14/0.39 % Computer : n026.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sat Sep 26 18:17:27 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 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
% 0.87/0.98 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.27/1.18 % [INFO] Parsing done (193ms).
% 1.27/1.19 % [INFO] Running in sequential loop mode.
% 2.06/1.60 % [INFO] eprover registered as external prover.
% 2.06/1.61 % [INFO] Scanning for conjecture ...
% 2.25/1.74 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.43/1.82 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.43/1.82 % [INFO] Problem is propositional (TPTP CNF).
% 2.43/1.83 % [INFO] Type checking passed.
% 2.43/1.83 % [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 ...
% 4.50/2.61 % External prover 'e' found a proof!
% 4.50/2.61 % [INFO] Killing All external provers ...
% 4.50/2.61 % Time passed: 2074ms (effective reasoning time: 1413ms)
% 4.50/2.62 % Axioms used in derivation (0):
% 4.50/2.62 % No. of inferences in proof: 47
% 4.50/2.62 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2074 ms resp. 1413 ms w/o parsing
% 4.50/2.67 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.50/2.67 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------