%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : GEO147-1 : TPTP v9.3.1. Released v2.4.0.
% 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 : n009.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 07:12:28 AM UTC 2026
% Result : Unsatisfiable 213.09s 144.59s
% Output : Refutation 213.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 96 ( 12 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 321 ( 42 ~; 34 |; 0 &; 245 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 49 ( 0 ^; 49 !; 0 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
thf(connect_decl,type,
connect: $i > $i > $i > $o ).
thf(sk28_decl,type,
sk28: $i ).
thf(sk29_decl,type,
sk29: $i ).
thf(sk27_decl,type,
sk27: $i ).
thf(incident_o_decl,type,
incident_o: $i > $i > $o ).
thf(trajectory_of_decl,type,
trajectory_of: $i > $i ).
thf(once_decl,type,
once: $i > $o ).
thf(at_the_same_time_decl,type,
at_the_same_time: $i > $i > $i ).
thf(at_decl,type,
at: $i > $i > $i ).
thf(2,negated_conjecture,
( ~ ( sk29 @ trajectory_of @ ( sk27 @ incident_o ) )
| ~ ( sk28 @ trajectory_of @ ( sk27 @ incident_o ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_157) ).
thf(79,plain,
( ~ ( sk29 @ trajectory_of @ ( sk27 @ incident_o ) )
| ~ ( sk28 @ trajectory_of @ ( sk27 @ incident_o ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(80,plain,
( ~ ( sk29 @ trajectory_of @ ( sk27 @ incident_o ) )
| ~ ( sk28 @ trajectory_of @ ( sk27 @ incident_o ) ) ),
inference(cnf,[status(esa)],[79]) ).
thf(243,plain,
( ~ $true
| ( ( sk29 @ trajectory_of @ ( sk27 @ incident_o ) )
!= ( sk28 @ trajectory_of @ ( sk27 @ incident_o ) ) )
| ~ ( sk28 @ trajectory_of @ ( sk27 @ incident_o ) ) ),
inference(eqfactor_ordered,[status(thm)],[80]) ).
thf(244,plain,
( ( ( sk29 @ trajectory_of @ ( sk27 @ incident_o ) )
!= ( sk28 @ trajectory_of @ ( sk27 @ incident_o ) ) )
| ~ ( sk28 @ trajectory_of @ ( sk27 @ incident_o ) ) ),
inference(simp,[status(thm)],[243]) ).
thf(1,negated_conjecture,
sk27 @ ( sk29 @ ( sk28 @ connect ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_156) ).
thf(78,plain,
sk27 @ ( sk29 @ ( sk28 @ connect ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(55,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ at ) @ ( C @ ( A @ at ) @ at_the_same_time ) @ once )
| ~ ( C @ ( B @ ( A @ connect ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',connect_defn_1) ).
thf(190,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ at ) @ ( C @ ( A @ at ) @ at_the_same_time ) @ once )
| ~ ( C @ ( B @ ( A @ connect ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(191,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ at ) @ ( C @ ( A @ at ) @ at_the_same_time ) @ once )
| ~ ( C @ ( B @ ( A @ connect ) ) ) ),
inference(cnf,[status(esa)],[190]) ).
thf(126048,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk27 @ ( sk29 @ ( sk28 @ connect ) ) )
!= ( C @ ( B @ ( A @ connect ) ) ) )
| ( C @ ( B @ at ) @ ( C @ ( A @ at ) @ at_the_same_time ) @ once )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[78,191]) ).
thf(126049,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk27 @ ( sk29 @ ( sk28 @ connect ) ) )
!= ( C @ ( B @ ( A @ connect ) ) ) )
| ( C @ ( B @ at ) @ ( C @ ( A @ at ) @ at_the_same_time ) @ once ) ),
inference(simp,[status(thm)],[126048]) ).
thf(126050,plain,
sk27 @ ( sk29 @ at ) @ ( sk27 @ ( sk28 @ at ) @ at_the_same_time ) @ once,
inference(pattern_uni,[status(thm)],[126049:[bind(A,$thf( sk28 )),bind(B,$thf( sk29 )),bind(C,$thf( sk27 ))]]) ).
thf(41,axiom,
! [B: $i,A: $i] :
( ( A @ once )
| ~ ( B @ ( A @ at_the_same_time ) @ once ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjunction_at_the_same_time_8) ).
thf(160,plain,
! [B: $i,A: $i] :
( ( A @ once )
| ~ ( B @ ( A @ at_the_same_time ) @ once ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(161,plain,
! [B: $i,A: $i] :
( ( A @ once )
| ~ ( B @ ( A @ at_the_same_time ) @ once ) ),
inference(cnf,[status(esa)],[160]) ).
thf(126257,plain,
! [B: $i,A: $i] :
( ( ( sk27 @ ( sk29 @ at ) @ ( sk27 @ ( sk28 @ at ) @ at_the_same_time ) @ once )
!= ( B @ ( A @ at_the_same_time ) @ once ) )
| ( A @ once )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[126050,161]) ).
thf(126258,plain,
! [B: $i,A: $i] :
( ( ( sk27 @ ( sk29 @ at ) @ ( sk27 @ ( sk28 @ at ) @ at_the_same_time ) @ once )
!= ( B @ ( A @ at_the_same_time ) @ once ) )
| ( A @ once ) ),
inference(simp,[status(thm)],[126257]) ).
thf(126259,plain,
sk27 @ ( sk28 @ at ) @ once,
inference(pattern_uni,[status(thm)],[126258:[bind(A,$thf( sk27 @ ( sk28 @ at ) )),bind(B,$thf( sk27 @ ( sk29 @ at ) ))]]) ).
thf(62,axiom,
! [B: $i,A: $i] :
( ( A @ trajectory_of @ ( B @ incident_o ) )
| ~ ( B @ ( A @ at ) @ once ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',at_on_trajectory_10) ).
thf(205,plain,
! [B: $i,A: $i] :
( ( A @ trajectory_of @ ( B @ incident_o ) )
| ~ ( B @ ( A @ at ) @ once ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(206,plain,
! [B: $i,A: $i] :
( ( A @ trajectory_of @ ( B @ incident_o ) )
| ~ ( B @ ( A @ at ) @ once ) ),
inference(cnf,[status(esa)],[205]) ).
thf(158177,plain,
! [B: $i,A: $i] :
( ( ( sk27 @ ( sk28 @ at ) @ once )
!= ( B @ ( A @ at ) @ once ) )
| ( A @ trajectory_of @ ( B @ incident_o ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[126259,206]) ).
thf(158178,plain,
! [B: $i,A: $i] :
( ( ( sk27 @ ( sk28 @ at ) @ once )
!= ( B @ ( A @ at ) @ once ) )
| ( A @ trajectory_of @ ( B @ incident_o ) ) ),
inference(simp,[status(thm)],[158177]) ).
thf(158179,plain,
sk28 @ trajectory_of @ ( sk27 @ incident_o ),
inference(pattern_uni,[status(thm)],[158178:[bind(A,$thf( sk28 )),bind(B,$thf( sk27 ))]]) ).
thf(158567,plain,
( ~ ( sk29 @ trajectory_of @ ( sk27 @ incident_o ) )
| ~ $true ),
inference(rewrite,[status(thm)],[244,158179]) ).
thf(158568,plain,
~ ( sk29 @ trajectory_of @ ( sk27 @ incident_o ) ),
inference(simp,[status(thm)],[158567]) ).
thf(35,axiom,
! [B: $i,A: $i] :
( ( B @ once )
| ~ ( B @ ( A @ at_the_same_time ) @ once ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjunction_at_the_same_time_9) ).
thf(148,plain,
! [B: $i,A: $i] :
( ( B @ once )
| ~ ( B @ ( A @ at_the_same_time ) @ once ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(149,plain,
! [B: $i,A: $i] :
( ( B @ once )
| ~ ( B @ ( A @ at_the_same_time ) @ once ) ),
inference(cnf,[status(esa)],[148]) ).
thf(126260,plain,
! [B: $i,A: $i] :
( ( ( sk27 @ ( sk29 @ at ) @ ( sk27 @ ( sk28 @ at ) @ at_the_same_time ) @ once )
!= ( B @ ( A @ at_the_same_time ) @ once ) )
| ( B @ once )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[126050,149]) ).
thf(126261,plain,
! [B: $i,A: $i] :
( ( ( sk27 @ ( sk29 @ at ) @ ( sk27 @ ( sk28 @ at ) @ at_the_same_time ) @ once )
!= ( B @ ( A @ at_the_same_time ) @ once ) )
| ( B @ once ) ),
inference(simp,[status(thm)],[126260]) ).
thf(126262,plain,
sk27 @ ( sk29 @ at ) @ once,
inference(pattern_uni,[status(thm)],[126261:[bind(A,$thf( sk27 @ ( sk28 @ at ) )),bind(B,$thf( sk27 @ ( sk29 @ at ) ))]]) ).
thf(158279,plain,
! [B: $i,A: $i] :
( ( ( sk27 @ ( sk29 @ at ) @ once )
!= ( B @ ( A @ at ) @ once ) )
| ( A @ trajectory_of @ ( B @ incident_o ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[126262,206]) ).
thf(158280,plain,
! [B: $i,A: $i] :
( ( ( sk27 @ ( sk29 @ at ) @ once )
!= ( B @ ( A @ at ) @ once ) )
| ( A @ trajectory_of @ ( B @ incident_o ) ) ),
inference(simp,[status(thm)],[158279]) ).
thf(158281,plain,
sk29 @ trajectory_of @ ( sk27 @ incident_o ),
inference(pattern_uni,[status(thm)],[158280:[bind(A,$thf( sk29 )),bind(B,$thf( sk27 ))]]) ).
thf(159074,plain,
~ $true,
inference(rewrite,[status(thm)],[158568,158281]) ).
thf(159075,plain,
$false,
inference(simp,[status(thm)],[159074]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO147-1 : TPTP v9.3.1. Released v2.4.0.
% 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 : n009.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 12:56:14 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
% 0.86/0.98 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.45/1.27 % [INFO] Parsing done (283ms).
% 1.45/1.28 % [INFO] Running in sequential loop mode.
% 2.20/1.69 % [INFO] eprover registered as external prover.
% 2.42/1.70 % [INFO] Scanning for conjecture ...
% 2.61/1.81 % [INFO] Found a conjecture (or negated_conjecture) and 110 axioms. Running axiom selection ...
% 2.81/1.91 % [INFO] Axiom selection finished. Selected 75 axioms (removed 35 axioms).
% 2.81/2.01 % [INFO] Problem is propositional (TPTP CNF).
% 2.81/2.03 % [INFO] Type checking passed.
% 2.81/2.03 % [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 ...
% 213.09/144.58 % [INFO] Killing All external provers ...
% 213.09/144.59 % Time passed: 144053ms (effective reasoning time: 143299ms)
% 213.09/144.59 % Axioms used in derivation (4): connect_defn_1, conjunction_at_the_same_time_8, at_on_trajectory_10, conjunction_at_the_same_time_9
% 213.09/144.59 % No. of inferences in proof: 38
% 213.09/144.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 144053 ms resp. 143299 ms w/o parsing
% 213.36/144.63 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 213.36/144.63 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------