%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ036-1.005 : TPTP v9.3.1. Released v2.0.0.
% 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 : n008.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 08:21:11 AM UTC 2026
% Result : Unsatisfiable 4.10s 2.40s
% Output : Refutation 4.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 334 ( 8 ~; 6 |; 0 &; 320 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 31 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 21 usr; 21 con; 0-20 aty)
% Number of variables : 120 ( 0 ^; 120 !; 0 ?; 120 :)
% Comments :
%------------------------------------------------------------------------------
thf(state_decl,type,
state: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(p_1_decl,type,
p_1: $i ).
thf(p_2_decl,type,
p_2: $i ).
thf(p_3_decl,type,
p_3: $i ).
thf(p_4_decl,type,
p_4: $i ).
thf(p_5_decl,type,
p_5: $i ).
thf(p_6_decl,type,
p_6: $i ).
thf(p_7_decl,type,
p_7: $i ).
thf(p_8_decl,type,
p_8: $i ).
thf(p_9_decl,type,
p_9: $i ).
thf(p_10_decl,type,
p_10: $i ).
thf(p_11_decl,type,
p_11: $i ).
thf(p_12_decl,type,
p_12: $i ).
thf(p_13_decl,type,
p_13: $i ).
thf(p_14_decl,type,
p_14: $i ).
thf(p_15_decl,type,
p_15: $i ).
thf(p_16_decl,type,
p_16: $i ).
thf(p_17_decl,type,
p_17: $i ).
thf(p_18_decl,type,
p_18: $i ).
thf(p_19_decl,type,
p_19: $i ).
thf(p_20_decl,type,
p_20: $i ).
thf(1,negated_conjecture,
~ ( p_20 @ ( p_19 @ ( p_18 @ ( p_17 @ ( p_16 @ ( p_15 @ ( p_14 @ ( p_13 @ ( p_12 @ ( p_11 @ ( p_10 @ ( p_9 @ ( p_8 @ ( p_7 @ ( p_6 @ ( p_5 @ ( p_4 @ ( p_3 @ ( p_2 @ ( p_1 @ state ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',make_like_this) ).
thf(6,plain,
~ ( p_20 @ ( p_19 @ ( p_18 @ ( p_17 @ ( p_16 @ ( p_15 @ ( p_14 @ ( p_13 @ ( p_12 @ ( p_11 @ ( p_10 @ ( p_9 @ ( p_8 @ ( p_7 @ ( p_6 @ ( p_5 @ ( p_4 @ ( p_3 @ ( p_2 @ ( p_1 @ state ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,axiom,
! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ state ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',move_left) ).
thf(9,plain,
! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ state ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( A @ ( B @ ( C @ ( D @ state ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',flip) ).
thf(13,plain,
! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( A @ ( B @ ( C @ ( D @ state ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ( T @ state ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',move_right) ).
thf(11,plain,
! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ ( T @ state ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( T @ ( S @ ( R @ ( Q @ ( P @ ( O @ ( N @ ( M @ ( L @ ( K @ ( J @ ( I @ ( H @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ state ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(2,axiom,
p_20 @ ( p_19 @ ( p_18 @ ( p_17 @ ( p_16 @ ( p_15 @ ( p_14 @ ( p_13 @ ( p_12 @ ( p_11 @ ( p_10 @ ( p_9 @ ( p_8 @ ( p_7 @ ( p_6 @ ( p_1 @ ( p_2 @ ( p_3 @ ( p_4 @ ( p_5 @ state ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_configuration) ).
thf(8,plain,
p_20 @ ( p_19 @ ( p_18 @ ( p_17 @ ( p_16 @ ( p_15 @ ( p_14 @ ( p_13 @ ( p_12 @ ( p_11 @ ( p_10 @ ( p_9 @ ( p_8 @ ( p_7 @ ( p_6 @ ( p_1 @ ( p_2 @ ( p_3 @ ( p_4 @ ( p_5 @ state ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(19,plain,
$false,
inference(e,[status(thm)],[6,9,13,11,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ036-1.005 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.08 % 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
% 0.13/0.40 % Computer : n008.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sat Sep 26 05:07:25 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 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
% 0.87/0.99 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.29/1.17 % [INFO] Parsing done (182ms).
% 1.29/1.19 % [INFO] Running in sequential loop mode.
% 2.07/1.63 % [INFO] eprover registered as external prover.
% 2.07/1.63 % [INFO] Scanning for conjecture ...
% 2.23/1.73 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 2.23/1.76 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 2.23/1.78 % [INFO] Problem is propositional (TPTP CNF).
% 2.23/1.79 % [INFO] Type checking passed.
% 2.23/1.79 % [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 ...
% 3.60/2.40 % External prover 'e' found a proof!
% 4.10/2.40 % [INFO] Killing All external provers ...
% 4.10/2.40 % Time passed: 1842ms (effective reasoning time: 1205ms)
% 4.10/2.40 % Axioms used in derivation (4): move_left, flip, move_right, initial_configuration
% 4.10/2.40 % No. of inferences in proof: 11
% 4.10/2.40 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1842 ms resp. 1205 ms w/o parsing
% 4.10/2.44 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.10/2.44 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------