%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : GEO079-1 : TPTP v9.3.1. Released v1.1.0.
% 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 : n011.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 07:12:17 AM UTC 2026
% Result : Unsatisfiable 3.33s 2.23s
% Output : Refutation 3.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 126 ( 12 ~; 10 |; 0 &; 104 @)
% ( 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 : 10 ( 9 usr; 5 con; 0-6 aty)
% Number of variables : 40 ( 0 ^; 40 !; 0 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(eq_decl,type,
eq: $i > $i > $i > $i > $i > $i > $o ).
thf(a_decl,type,
a: $i ).
thf(c_decl,type,
c: $i ).
thf(b_decl,type,
b: $i ).
thf(d_decl,type,
d: $i ).
thf(right_angle_decl,type,
right_angle: $i > $i > $i > $o ).
thf(congruent_decl,type,
congruent: $i > $i > $i > $i > $i > $i > $o ).
thf(trapezoid_decl,type,
trapezoid: $i > $i > $i > $i > $o ).
thf(parallel_decl,type,
parallel: $i > $i > $i > $i > $o ).
thf(2,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ eq ) ) ) ) ) )
| ~ ( F @ ( E @ ( D @ right_angle ) ) )
| ~ ( C @ ( B @ ( A @ right_angle ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_angles_are_equal) ).
thf(9,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ eq ) ) ) ) ) )
| ~ ( F @ ( E @ ( D @ right_angle ) ) )
| ~ ( C @ ( B @ ( A @ right_angle ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( A @ ( C @ ( B @ parallel ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ trapezoid ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trapezoid_definition) ).
thf(13,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( A @ ( C @ ( B @ parallel ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ trapezoid ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
d @ ( c @ ( b @ ( a @ trapezoid ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_trapezoid) ).
thf(17,plain,
d @ ( c @ ( b @ ( a @ trapezoid ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,negated_conjecture,
~ ( d @ ( a @ ( c @ ( b @ ( c @ ( a @ eq ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_angles_equal) ).
thf(7,plain,
~ ( d @ ( a @ ( c @ ( b @ ( c @ ( a @ eq ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ eq ) ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ congruent ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corresponding_angles_are_equal) ).
thf(11,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ eq ) ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ congruent ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ ( B @ ( C @ eq ) ) ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ parallel ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',interior_angles_are_equal) ).
thf(15,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ ( B @ ( C @ eq ) ) ) ) ) )
| ~ ( D @ ( C @ ( B @ ( A @ parallel ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(18,plain,
$false,
inference(e,[status(thm)],[9,13,17,7,11,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO079-1 : TPTP v9.3.1. Released v1.1.0.
% 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
% 0.12/0.39 % Computer : n011.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 12:40:59 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 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
% 0.88/0.99 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.28/1.17 % [INFO] Parsing done (175ms).
% 1.28/1.19 % [INFO] Running in sequential loop mode.
% 2.02/1.60 % [INFO] eprover registered as external prover.
% 2.02/1.61 % [INFO] Scanning for conjecture ...
% 2.02/1.70 % [INFO] Found a conjecture (or negated_conjecture) and 5 axioms. Running axiom selection ...
% 2.19/1.73 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 2.19/1.74 % [INFO] Problem is propositional (TPTP CNF).
% 2.19/1.74 % [INFO] Type checking passed.
% 2.19/1.75 % [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 ...
% 3.33/2.23 % External prover 'e' found a proof!
% 3.33/2.23 % [INFO] Killing All external provers ...
% 3.33/2.23 % Time passed: 1692ms (effective reasoning time: 1039ms)
% 3.33/2.23 % Axioms used in derivation (5): interior_angles_are_equal, right_angles_are_equal, a_trapezoid, corresponding_angles_are_equal, trapezoid_definition
% 3.33/2.23 % No. of inferences in proof: 13
% 3.33/2.23 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1692 ms resp. 1039 ms w/o parsing
% 3.33/2.27 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.33/2.27 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------