%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN134-1 : TPTP v9.3.1. Released v1.1.0.
% 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 : n001.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 09:16:52 AM UTC 2026
% Result : Unsatisfiable 135.92s 74.57s
% Output : Refutation 136.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 57 ( 6 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 113 ( 24 ~; 21 |; 0 &; 68 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 28 ( 0 ^; 28 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(m2_decl,type,
m2: $i > $o ).
thf(d_decl,type,
d: $i ).
thf(n0_decl,type,
n0: $i > $i > $o ).
thf(a_decl,type,
a: $i ).
thf(b_decl,type,
b: $i ).
thf(s0_decl,type,
s0: $i > $o ).
thf(l1_decl,type,
l1: $i > $i > $o ).
thf(340,axiom,
d @ s0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(1011,plain,
d @ s0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[340]) ).
thf(111,axiom,
b @ ( a @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
thf(579,plain,
b @ ( a @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(50,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ n0 ) )
| ( A @ ( A @ l1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_002) ).
thf(461,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ n0 ) )
| ( A @ ( A @ l1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(462,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ n0 ) )
| ( A @ ( A @ l1 ) ) ),
inference(cnf,[status(esa)],[461]) ).
thf(5435,plain,
! [B: $i,A: $i] :
( ( ( b @ ( a @ n0 ) )
!= ( A @ ( B @ n0 ) ) )
| ~ $true
| ( A @ ( A @ l1 ) ) ),
inference(paramod_ordered,[status(thm)],[579,462]) ).
thf(5436,plain,
! [B: $i,A: $i] :
( ( ( b @ ( a @ n0 ) )
!= ( A @ ( B @ n0 ) ) )
| ( A @ ( A @ l1 ) ) ),
inference(simp,[status(thm)],[5435]) ).
thf(5437,plain,
b @ ( b @ l1 ),
inference(pattern_uni,[status(thm)],[5436:[bind(A,$thf( b )),bind(B,$thf( a ))]]) ).
thf(324,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ l1 ) )
| ~ ( A @ s0 )
| ( A @ m2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_135) ).
thf(983,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ l1 ) )
| ~ ( A @ s0 )
| ( A @ m2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[324]) ).
thf(984,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ l1 ) )
| ~ ( A @ s0 )
| ( A @ m2 ) ),
inference(cnf,[status(esa)],[983]) ).
thf(43704,plain,
! [C: $i,B: $i,A: $i] :
( ( ( b @ ( b @ l1 ) )
!= ( C @ ( B @ l1 ) ) )
| ~ $true
| ~ ( A @ s0 )
| ( A @ m2 ) ),
inference(paramod_ordered,[status(thm)],[5437,984]) ).
thf(43705,plain,
! [C: $i,B: $i,A: $i] :
( ( ( b @ ( b @ l1 ) )
!= ( C @ ( B @ l1 ) ) )
| ~ ( A @ s0 )
| ( A @ m2 ) ),
inference(simp,[status(thm)],[43704]) ).
thf(43706,plain,
! [A: $i] :
( ~ ( A @ s0 )
| ( A @ m2 ) ),
inference(pattern_uni,[status(thm)],[43705:[bind(A,$thf( A )),bind(B,$thf( b )),bind(C,$thf( b ))]]) ).
thf(43826,plain,
! [A: $i] :
( ( ( d @ s0 )
!= ( A @ s0 ) )
| ~ $true
| ( A @ m2 ) ),
inference(paramod_ordered,[status(thm)],[1011,43706]) ).
thf(43827,plain,
! [A: $i] :
( ( ( d @ s0 )
!= ( A @ s0 ) )
| ( A @ m2 ) ),
inference(simp,[status(thm)],[43826]) ).
thf(43828,plain,
d @ m2,
inference(pattern_uni,[status(thm)],[43827:[bind(A,$thf( d ))]]) ).
thf(1,negated_conjecture,
~ ( d @ m2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(368,plain,
~ ( d @ m2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(369,plain,
~ ( d @ m2 ),
inference(polarity_switch,[status(thm)],[368]) ).
thf(43832,plain,
$false,
inference(rewrite,[status(thm)],[43828,369]) ).
thf(43833,plain,
$false,
inference(simp,[status(thm)],[43832]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN134-1 : TPTP v9.3.1. Released v1.1.0.
% 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
% 0.06/5.40 % Computer : n001.cluster.edu
% 0.06/5.40 % Model : x86_64 x86_64
% 0.06/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/5.40 % Memory : 8046.5625MB
% 0.06/5.40 % OS : Linux 6.8.0-71-generic
% 0.06/5.40 % CPULimit : 300
% 0.06/5.40 % WCLimit : 300
% 0.06/5.40 % DateTime : Sat Sep 26 17:20:05 UTC 2026
% 0.06/5.40 % CPUTime :
% 0.06/5.40 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
% 0.16/5.99 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.95/6.31 % [INFO] Parsing done (321ms).
% 1.95/6.32 % [INFO] Running in sequential loop mode.
% 2.68/6.71 % [INFO] eprover registered as external prover.
% 2.68/6.72 % [INFO] Scanning for conjecture ...
% 2.87/6.86 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 3.09/7.01 % [INFO] Axiom selection finished. Selected 366 axioms (removed 2 axioms).
% 4.05/7.20 % [INFO] Problem is propositional (TPTP CNF).
% 4.05/7.21 % [INFO] Type checking passed.
% 4.05/7.22 % [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 ...
% 135.92/74.57 % [INFO] Killing All external provers ...
% 135.92/74.57 % Time passed: 69026ms (effective reasoning time: 68238ms)
% 135.92/74.57 % Axioms used in derivation (4): axiom_1, axiom_15, rule_002, rule_135
% 135.92/74.57 % No. of inferences in proof: 24
% 135.92/74.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 69026 ms resp. 68238 ms w/o parsing
% 136.12/74.60 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 136.12/74.60 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------