%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : GEO146-1 : 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 : 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 07:12:27 AM UTC 2026
% Result : Unsatisfiable 15.11s 9.98s
% Output : Refutation 15.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 111 ( 12 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 503 ( 52 ~; 49 |; 0 &; 402 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 56 ( 0 ^; 56 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
thf(connect_decl,type,
connect: $i > $i > $i > $o ).
thf(sk27_decl,type,
sk27: $i ).
thf(sk28_decl,type,
sk28: $i ).
thf(sk29_decl,type,
sk29: $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(1,negated_conjecture,
( ( sk29 @ ( sk27 @ ( sk28 @ connect ) ) )
| ( sk29 @ ( sk28 @ ( sk27 @ connect ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_156) ).
thf(20,plain,
( ( sk29 @ ( sk27 @ ( sk28 @ connect ) ) )
| ( sk29 @ ( sk28 @ ( sk27 @ connect ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(24,plain,
( ( sk29 @ ( sk27 @ ( sk28 @ connect ) ) )
| ( sk29 @ ( sk28 @ ( sk27 @ connect ) ) ) ),
inference(cnf,[status(esa)],[20]) ).
thf(19,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(54,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)],[19]) ).
thf(55,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)],[54]) ).
thf(1591,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk29 @ ( sk27 @ ( sk28 @ connect ) ) )
!= ( C @ ( B @ ( A @ connect ) ) ) )
| ( C @ ( B @ at ) @ ( C @ ( A @ at ) @ at_the_same_time ) @ once )
| ~ $true
| ( sk29 @ ( sk28 @ ( sk27 @ connect ) ) ) ),
inference(paramod_ordered,[status(thm)],[24,55]) ).
thf(1592,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk29 @ ( sk27 @ ( sk28 @ connect ) ) )
!= ( C @ ( B @ ( A @ connect ) ) ) )
| ( C @ ( B @ at ) @ ( C @ ( A @ at ) @ at_the_same_time ) @ once )
| ( sk29 @ ( sk28 @ ( sk27 @ connect ) ) ) ),
inference(simp,[status(thm)],[1591]) ).
thf(1593,plain,
( ( sk29 @ ( sk27 @ at ) @ ( sk29 @ ( sk28 @ at ) @ at_the_same_time ) @ once )
| ( sk29 @ ( sk28 @ ( sk27 @ connect ) ) ) ),
inference(pattern_uni,[status(thm)],[1592:[bind(A,$thf( sk28 )),bind(B,$thf( sk27 )),bind(C,$thf( sk29 ))]]) ).
thf(1608,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk29 @ ( sk28 @ ( sk27 @ connect ) ) )
!= ( C @ ( B @ ( A @ connect ) ) ) )
| ( C @ ( B @ at ) @ ( C @ ( A @ at ) @ at_the_same_time ) @ once )
| ~ $true
| ( sk29 @ ( sk27 @ at ) @ ( sk29 @ ( sk28 @ at ) @ at_the_same_time ) @ once ) ),
inference(paramod_ordered,[status(thm)],[1593,55]) ).
thf(1609,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk29 @ ( sk28 @ ( sk27 @ connect ) ) )
!= ( C @ ( B @ ( A @ connect ) ) ) )
| ( C @ ( B @ at ) @ ( C @ ( A @ at ) @ at_the_same_time ) @ once )
| ( sk29 @ ( sk27 @ at ) @ ( sk29 @ ( sk28 @ at ) @ at_the_same_time ) @ once ) ),
inference(simp,[status(thm)],[1608]) ).
thf(1610,plain,
( ( sk29 @ ( sk28 @ at ) @ ( sk29 @ ( sk27 @ at ) @ at_the_same_time ) @ once )
| ( sk29 @ ( sk27 @ at ) @ ( sk29 @ ( sk28 @ at ) @ at_the_same_time ) @ once ) ),
inference(pattern_uni,[status(thm)],[1609:[bind(A,$thf( sk27 )),bind(B,$thf( sk28 )),bind(C,$thf( sk29 ))]]) ).
thf(18,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( A @ connect ) ) )
| ~ ( B @ ( C @ at ) @ ( B @ ( A @ at ) @ at_the_same_time ) @ once ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',connect_defn_2) ).
thf(52,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( A @ connect ) ) )
| ~ ( B @ ( C @ at ) @ ( B @ ( A @ at ) @ at_the_same_time ) @ once ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(53,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( A @ connect ) ) )
| ~ ( B @ ( C @ at ) @ ( B @ ( A @ at ) @ at_the_same_time ) @ once ) ),
inference(cnf,[status(esa)],[52]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ( A @ ( B @ at_the_same_time ) @ once )
| ~ ( B @ ( A @ at_the_same_time ) @ once ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_at_the_same_time_3) ).
thf(34,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ at_the_same_time ) @ once )
| ~ ( B @ ( A @ at_the_same_time ) @ once ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(35,plain,
! [B: $i,A: $i] :
( ( A @ ( B @ at_the_same_time ) @ once )
| ~ ( B @ ( A @ at_the_same_time ) @ once ) ),
inference(cnf,[status(esa)],[34]) ).
thf(4,negated_conjecture,
( ~ ( sk29 @ ( sk28 @ ( sk27 @ connect ) ) )
| ~ ( sk29 @ ( sk27 @ ( sk28 @ connect ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_159) ).
thf(23,plain,
( ~ ( sk29 @ ( sk28 @ ( sk27 @ connect ) ) )
| ~ ( sk29 @ ( sk27 @ ( sk28 @ connect ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(25,plain,
( ~ ( sk29 @ ( sk28 @ ( sk27 @ connect ) ) )
| ~ ( sk29 @ ( sk27 @ ( sk28 @ connect ) ) ) ),
inference(cnf,[status(esa)],[23]) ).
thf(1383,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( C @ ( A @ connect ) ) )
!= ( sk29 @ ( sk27 @ ( sk28 @ connect ) ) ) )
| ~ ( sk29 @ ( sk28 @ ( sk27 @ connect ) ) )
| ~ $true
| ~ ( B @ ( C @ at ) @ ( B @ ( A @ at ) @ at_the_same_time ) @ once ) ),
inference(paramod_ordered,[status(thm)],[53,25]) ).
thf(1384,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( C @ ( A @ connect ) ) )
!= ( sk29 @ ( sk27 @ ( sk28 @ connect ) ) ) )
| ~ ( sk29 @ ( sk28 @ ( sk27 @ connect ) ) )
| ~ ( B @ ( C @ at ) @ ( B @ ( A @ at ) @ at_the_same_time ) @ once ) ),
inference(simp,[status(thm)],[1383]) ).
thf(1385,plain,
( ~ ( sk29 @ ( sk28 @ ( sk27 @ connect ) ) )
| ~ ( sk29 @ ( sk27 @ at ) @ ( sk29 @ ( sk28 @ at ) @ at_the_same_time ) @ once ) ),
inference(pattern_uni,[status(thm)],[1384:[bind(A,$thf( sk28 )),bind(B,$thf( sk29 )),bind(C,$thf( sk27 ))]]) ).
thf(1426,plain,
! [B: $i,A: $i] :
( ( ( A @ ( B @ at_the_same_time ) @ once )
!= ( sk29 @ ( sk27 @ at ) @ ( sk29 @ ( sk28 @ at ) @ at_the_same_time ) @ once ) )
| ~ ( sk29 @ ( sk28 @ ( sk27 @ connect ) ) )
| ~ $true
| ~ ( B @ ( A @ at_the_same_time ) @ once ) ),
inference(paramod_ordered,[status(thm)],[35,1385]) ).
thf(1427,plain,
! [B: $i,A: $i] :
( ( ( A @ ( B @ at_the_same_time ) @ once )
!= ( sk29 @ ( sk27 @ at ) @ ( sk29 @ ( sk28 @ at ) @ at_the_same_time ) @ once ) )
| ~ ( sk29 @ ( sk28 @ ( sk27 @ connect ) ) )
| ~ ( B @ ( A @ at_the_same_time ) @ once ) ),
inference(simp,[status(thm)],[1426]) ).
thf(1428,plain,
( ~ ( sk29 @ ( sk28 @ ( sk27 @ connect ) ) )
| ~ ( sk29 @ ( sk28 @ at ) @ ( sk29 @ ( sk27 @ at ) @ at_the_same_time ) @ once ) ),
inference(pattern_uni,[status(thm)],[1427:[bind(A,$thf( sk29 @ ( sk27 @ at ) )),bind(B,$thf( sk29 @ ( sk28 @ at ) ))]]) ).
thf(1507,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( C @ ( A @ connect ) ) )
!= ( sk29 @ ( sk28 @ ( sk27 @ connect ) ) ) )
| ~ $true
| ~ ( sk29 @ ( sk28 @ at ) @ ( sk29 @ ( sk27 @ at ) @ at_the_same_time ) @ once )
| ~ ( B @ ( C @ at ) @ ( B @ ( A @ at ) @ at_the_same_time ) @ once ) ),
inference(paramod_ordered,[status(thm)],[53,1428]) ).
thf(1508,plain,
! [C: $i,B: $i,A: $i] :
( ( ( B @ ( C @ ( A @ connect ) ) )
!= ( sk29 @ ( sk28 @ ( sk27 @ connect ) ) ) )
| ~ ( sk29 @ ( sk28 @ at ) @ ( sk29 @ ( sk27 @ at ) @ at_the_same_time ) @ once )
| ~ ( B @ ( C @ at ) @ ( B @ ( A @ at ) @ at_the_same_time ) @ once ) ),
inference(simp,[status(thm)],[1507]) ).
thf(1509,plain,
( ~ ( sk29 @ ( sk28 @ at ) @ ( sk29 @ ( sk27 @ at ) @ at_the_same_time ) @ once )
| ~ ( sk29 @ ( sk28 @ at ) @ ( sk29 @ ( sk27 @ at ) @ at_the_same_time ) @ once ) ),
inference(pattern_uni,[status(thm)],[1508:[bind(A,$thf( sk27 )),bind(B,$thf( sk29 )),bind(C,$thf( sk28 ))]]) ).
thf(1549,plain,
~ ( sk29 @ ( sk28 @ at ) @ ( sk29 @ ( sk27 @ at ) @ at_the_same_time ) @ once ),
inference(simp,[status(thm)],[1509]) ).
thf(1677,plain,
( $false
| ( sk29 @ ( sk27 @ at ) @ ( sk29 @ ( sk28 @ at ) @ at_the_same_time ) @ once ) ),
inference(rewrite,[status(thm)],[1610,1549]) ).
thf(1678,plain,
sk29 @ ( sk27 @ at ) @ ( sk29 @ ( sk28 @ at ) @ at_the_same_time ) @ once,
inference(simp,[status(thm)],[1677]) ).
thf(1699,plain,
! [B: $i,A: $i] :
( ( ( sk29 @ ( sk27 @ at ) @ ( sk29 @ ( sk28 @ at ) @ at_the_same_time ) @ once )
!= ( B @ ( A @ at_the_same_time ) @ once ) )
| ( A @ ( B @ at_the_same_time ) @ once )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[1678,35]) ).
thf(1700,plain,
! [B: $i,A: $i] :
( ( ( sk29 @ ( sk27 @ at ) @ ( sk29 @ ( sk28 @ at ) @ at_the_same_time ) @ once )
!= ( B @ ( A @ at_the_same_time ) @ once ) )
| ( A @ ( B @ at_the_same_time ) @ once ) ),
inference(simp,[status(thm)],[1699]) ).
thf(1701,plain,
sk29 @ ( sk28 @ at ) @ ( sk29 @ ( sk27 @ at ) @ at_the_same_time ) @ once,
inference(pattern_uni,[status(thm)],[1700:[bind(A,$thf( sk29 @ ( sk28 @ at ) )),bind(B,$thf( sk29 @ ( sk27 @ at ) ))]]) ).
thf(2094,plain,
$false,
inference(rewrite,[status(thm)],[1701,1549]) ).
thf(2095,plain,
$false,
inference(simp,[status(thm)],[2094]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO146-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08 % 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
% 0.12/5.40 % Computer : n011.cluster.edu
% 0.12/5.40 % Model : x86_64 x86_64
% 0.12/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.40 % Memory : 8046.5625MB
% 0.12/5.40 % OS : Linux 6.8.0-71-generic
% 0.12/5.40 % CPULimit : 300
% 0.12/5.40 % WCLimit : 300
% 0.12/5.40 % DateTime : Fri Sep 25 12:56:18 UTC 2026
% 0.12/5.41 % CPUTime :
% 0.12/5.41 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
% 0.16/6.00 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.40/6.28 % [INFO] Parsing done (282ms).
% 1.86/6.30 % [INFO] Running in sequential loop mode.
% 2.31/6.69 % [INFO] eprover registered as external prover.
% 2.53/6.70 % [INFO] Scanning for conjecture ...
% 2.73/6.81 % [INFO] Found a conjecture (or negated_conjecture) and 110 axioms. Running axiom selection ...
% 2.73/6.88 % [INFO] Axiom selection finished. Selected 15 axioms (removed 95 axioms).
% 2.95/6.91 % [INFO] Problem is propositional (TPTP CNF).
% 2.95/6.92 % [INFO] Type checking passed.
% 2.95/6.92 % [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 ...
% 15.11/9.97 % [INFO] Killing All external provers ...
% 15.11/9.97 % Time passed: 4417ms (effective reasoning time: 3665ms)
% 15.11/9.97 % Axioms used in derivation (3): connect_defn_1, connect_defn_2, symmetry_of_at_the_same_time_3
% 15.11/9.97 % No. of inferences in proof: 38
% 15.11/9.98 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 4417 ms resp. 3665 ms w/o parsing
% 15.11/10.01 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 15.11/10.01 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------