%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PLA002-1 : TPTP v9.3.1. Released v1.0.0.
% 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 : n019.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 08:19:52 AM UTC 2026
% Result : Unsatisfiable 3.81s 2.43s
% Output : Refutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 17
% Syntax : Number of formulae : 35 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 73 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 264 ( 38 ~; 38 |; 0 &; 188 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 34 ( 0 ^; 34 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(at_decl,type,
at: $i > $i > $o ).
thf(a_decl,type,
a: $i ).
thf(warm_decl,type,
warm: $i > $o ).
thf(cold_decl,type,
cold: $i > $o ).
thf(b_decl,type,
b: $i ).
thf(walk_decl,type,
walk: $i > $i > $i ).
thf(f_decl,type,
f: $i ).
thf(s0_decl,type,
s0: $i ).
thf(c_decl,type,
c: $i ).
thf(skate_decl,type,
skate: $i > $i > $i ).
thf(d_decl,type,
d: $i ).
thf(go_decl,type,
go: $i > $i > $i ).
thf(climb_decl,type,
climb: $i > $i > $i ).
thf(e_decl,type,
e: $i ).
thf(drive_decl,type,
drive: $i > $i > $i ).
thf(9,axiom,
! [A: $i] :
( ( A @ ( b @ climb ) @ ( b @ at ) )
| ~ ( A @ ( d @ at ) )
| ~ ( A @ warm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',climb_mountain_d_to_b) ).
thf(33,plain,
! [A: $i] :
( ( A @ ( b @ climb ) @ ( b @ at ) )
| ~ ( A @ ( d @ at ) )
| ~ ( A @ warm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(13,axiom,
! [A: $i] :
( ( A @ ( a @ drive ) @ ( a @ at ) )
| ~ ( A @ ( b @ at ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',drive_b_to_a) ).
thf(41,plain,
! [A: $i] :
( ( A @ ( a @ drive ) @ ( a @ at ) )
| ~ ( A @ ( b @ at ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(15,axiom,
! [A: $i] :
( ( A @ ( d @ go ) @ ( d @ at ) )
| ~ ( A @ ( f @ at ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',go_f_to_d) ).
thf(45,plain,
! [A: $i] :
( ( A @ ( d @ go ) @ ( d @ at ) )
| ~ ( A @ ( f @ at ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(17,axiom,
! [A: $i] :
( ( A @ ( c @ skate ) @ ( c @ at ) )
| ~ ( A @ ( b @ at ) )
| ~ ( A @ cold ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cross_river_b_to_c) ).
thf(49,plain,
! [A: $i] :
( ( A @ ( c @ skate ) @ ( c @ at ) )
| ~ ( A @ ( b @ at ) )
| ~ ( A @ cold ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(12,axiom,
! [A: $i] :
( ( A @ ( c @ go ) @ ( c @ at ) )
| ~ ( A @ ( e @ at ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',go_e_to_c) ).
thf(39,plain,
! [A: $i] :
( ( A @ ( c @ go ) @ ( c @ at ) )
| ~ ( A @ ( e @ at ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(10,axiom,
! [A: $i] :
( ( A @ ( e @ go ) @ ( e @ at ) )
| ~ ( A @ ( c @ at ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',go_c_to_e) ).
thf(35,plain,
! [A: $i] :
( ( A @ ( e @ go ) @ ( e @ at ) )
| ~ ( A @ ( c @ at ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(1,negated_conjecture,
! [A: $i] :
~ ( A @ ( a @ at ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_you_can_get_to_a) ).
thf(18,plain,
! [A: $i] :
~ ( A @ ( a @ at ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(8,axiom,
! [A: $i] :
( ( A @ ( b @ walk ) @ ( b @ at ) )
| ~ ( A @ ( a @ at ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',walk_a_to_b) ).
thf(31,plain,
! [A: $i] :
( ( A @ ( b @ walk ) @ ( b @ at ) )
| ~ ( A @ ( a @ at ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(14,axiom,
! [A: $i] :
( ( A @ ( b @ drive ) @ ( b @ at ) )
| ~ ( A @ ( a @ at ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',drive_a_to_b) ).
thf(43,plain,
! [A: $i] :
( ( A @ ( b @ drive ) @ ( b @ at ) )
| ~ ( A @ ( a @ at ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(16,axiom,
! [A: $i] :
( ( A @ ( d @ go ) @ ( d @ at ) )
| ~ ( A @ ( c @ at ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',go_c_to_d) ).
thf(47,plain,
! [A: $i] :
( ( A @ ( d @ go ) @ ( d @ at ) )
| ~ ( A @ ( c @ at ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(4,axiom,
s0 @ ( f @ at ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial) ).
thf(24,plain,
s0 @ ( f @ at ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(11,axiom,
! [A: $i] :
( ( A @ ( d @ climb ) @ ( d @ at ) )
| ~ ( A @ ( b @ at ) )
| ~ ( A @ warm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',climb_mountain_b_to_d) ).
thf(37,plain,
! [A: $i] :
( ( A @ ( d @ climb ) @ ( d @ at ) )
| ~ ( A @ ( b @ at ) )
| ~ ( A @ warm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ ( b @ skate ) @ ( b @ at ) )
| ~ ( A @ ( c @ at ) )
| ~ ( A @ cold ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cross_river_c_to_b) ).
thf(25,plain,
! [A: $i] :
( ( A @ ( b @ skate ) @ ( b @ at ) )
| ~ ( A @ ( c @ at ) )
| ~ ( A @ cold ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(2,axiom,
! [B: $i,A: $i] :
( ( B @ cold )
| ( A @ warm ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',warm_or_cold) ).
thf(20,plain,
! [B: $i,A: $i] :
( ( B @ cold )
| ( A @ warm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ ( f @ go ) @ ( f @ at ) )
| ~ ( A @ ( d @ at ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',go_d_to_f) ).
thf(29,plain,
! [A: $i] :
( ( A @ ( f @ go ) @ ( f @ at ) )
| ~ ( A @ ( d @ at ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ ( a @ walk ) @ ( a @ at ) )
| ~ ( A @ ( b @ at ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',walk_b_to_a) ).
thf(22,plain,
! [A: $i] :
( ( A @ ( a @ walk ) @ ( a @ at ) )
| ~ ( A @ ( b @ at ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ ( c @ go ) @ ( c @ at ) )
| ~ ( A @ ( d @ at ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',go_d_to_c) ).
thf(27,plain,
! [A: $i] :
( ( A @ ( c @ go ) @ ( c @ at ) )
| ~ ( A @ ( d @ at ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(55,plain,
$false,
inference(e,[status(thm)],[33,41,45,49,39,35,18,31,43,47,24,37,25,20,29,22,27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % 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
% 0.14/0.40 % Computer : n019.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sat Sep 26 04:42:21 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 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
% 0.86/1.00 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.25/1.19 % [INFO] Parsing done (192ms).
% 1.39/1.21 % [INFO] Running in sequential loop mode.
% 2.03/1.62 % [INFO] eprover registered as external prover.
% 2.03/1.63 % [INFO] Scanning for conjecture ...
% 2.21/1.73 % [INFO] Found a conjecture (or negated_conjecture) and 16 axioms. Running axiom selection ...
% 2.21/1.79 % [INFO] Axiom selection finished. Selected 16 axioms (removed 0 axioms).
% 2.39/1.82 % [INFO] Problem is propositional (TPTP CNF).
% 2.39/1.82 % [INFO] Type checking passed.
% 2.39/1.83 % [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 ...
% 3.81/2.43 % External prover 'e' found a proof!
% 3.81/2.43 % [INFO] Killing All external provers ...
% 3.81/2.43 % Time passed: 1879ms (effective reasoning time: 1214ms)
% 3.81/2.43 % Axioms used in derivation (16): initial, go_d_to_c, go_f_to_d, go_c_to_e, climb_mountain_d_to_b, walk_a_to_b, cross_river_b_to_c, go_e_to_c, go_c_to_d, cross_river_c_to_b, warm_or_cold, drive_b_to_a, walk_b_to_a, drive_a_to_b, climb_mountain_b_to_d, go_d_to_f
% 3.81/2.43 % No. of inferences in proof: 35
% 3.81/2.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1879 ms resp. 1214 ms w/o parsing
% 3.81/2.49 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.81/2.49 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------