%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN200-1 : 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 : 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 09:16:59 AM UTC 2026
% Result : Unsatisfiable 193.94s 97.23s
% Output : Refutation 193.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 86 ( 10 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 161 ( 36 ~; 32 |; 0 &; 93 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 47 ( 0 ^; 47 !; 0 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
thf(s1_decl,type,
s1: $i > $o ).
thf(e_decl,type,
e: $i ).
thf(d_decl,type,
d: $i ).
thf(q0_decl,type,
q0: $i > $i > $o ).
thf(p0_decl,type,
p0: $i > $i > $o ).
thf(b_decl,type,
b: $i ).
thf(1,negated_conjecture,
~ ( e @ s1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(370,plain,
~ ( e @ s1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(371,plain,
~ ( e @ s1 ),
inference(polarity_switch,[status(thm)],[370]) ).
thf(78,axiom,
! [A: $i] : ( A @ ( b @ p0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
thf(515,plain,
! [A: $i] : ( A @ ( b @ p0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(290,axiom,
! [A: $i] :
( ~ ( A @ ( A @ p0 ) )
| ( A @ s1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_125) ).
thf(922,plain,
! [A: $i] :
( ~ ( A @ ( A @ p0 ) )
| ( A @ s1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[290]) ).
thf(923,plain,
! [A: $i] :
( ~ ( A @ ( A @ p0 ) )
| ( A @ s1 ) ),
inference(cnf,[status(esa)],[922]) ).
thf(5697,plain,
! [B: $i,A: $i] :
( ( ( A @ ( b @ p0 ) )
!= ( B @ ( B @ p0 ) ) )
| ~ $true
| ( B @ s1 ) ),
inference(paramod_ordered,[status(thm)],[515,923]) ).
thf(5698,plain,
! [B: $i,A: $i] :
( ( ( A @ ( b @ p0 ) )
!= ( B @ ( B @ p0 ) ) )
| ( B @ s1 ) ),
inference(simp,[status(thm)],[5697]) ).
thf(5699,plain,
b @ s1,
inference(pattern_uni,[status(thm)],[5698:[bind(A,$thf( b )),bind(B,$thf( b ))]]) ).
thf(53,axiom,
b @ ( d @ q0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
thf(468,plain,
b @ ( d @ q0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(348,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ s1 )
| ~ ( B @ ( A @ q0 ) )
| ( A @ s1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_126) ).
thf(1028,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ s1 )
| ~ ( B @ ( A @ q0 ) )
| ( A @ s1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[348]) ).
thf(1029,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ s1 )
| ~ ( B @ ( A @ q0 ) )
| ( A @ s1 ) ),
inference(cnf,[status(esa)],[1028]) ).
thf(47224,plain,
! [C: $i,B: $i,A: $i] :
( ( ( b @ ( d @ q0 ) )
!= ( B @ ( A @ q0 ) ) )
| ~ ( C @ s1 )
| ~ $true
| ( A @ s1 ) ),
inference(paramod_ordered,[status(thm)],[468,1029]) ).
thf(47225,plain,
! [C: $i,B: $i,A: $i] :
( ( ( b @ ( d @ q0 ) )
!= ( B @ ( A @ q0 ) ) )
| ~ ( C @ s1 )
| ( A @ s1 ) ),
inference(simp,[status(thm)],[47224]) ).
thf(47226,plain,
! [A: $i] :
( ~ ( A @ s1 )
| ( d @ s1 ) ),
inference(pattern_uni,[status(thm)],[47225:[bind(A,$thf( d )),bind(B,$thf( b ))]]) ).
thf(47251,plain,
! [A: $i] :
( ~ ( A @ s1 )
| ( d @ s1 ) ),
inference(simp,[status(thm)],[47226]) ).
thf(47554,plain,
! [A: $i] :
( ( ( b @ s1 )
!= ( A @ s1 ) )
| ~ $true
| ( d @ s1 ) ),
inference(paramod_ordered,[status(thm)],[5699,47251]) ).
thf(47555,plain,
! [A: $i] :
( ( ( b @ s1 )
!= ( A @ s1 ) )
| ( d @ s1 ) ),
inference(simp,[status(thm)],[47554]) ).
thf(47556,plain,
d @ s1,
inference(pattern_uni,[status(thm)],[47555:[bind(A,$thf( b ))]]) ).
thf(223,axiom,
! [A: $i] : ( d @ ( A @ q0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
thf(793,plain,
! [A: $i] : ( d @ ( A @ q0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[223]) ).
thf(47230,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( d @ ( A @ q0 ) )
!= ( C @ ( B @ q0 ) ) )
| ~ ( D @ s1 )
| ~ $true
| ( B @ s1 ) ),
inference(paramod_ordered,[status(thm)],[793,1029]) ).
thf(47231,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( d @ ( A @ q0 ) )
!= ( C @ ( B @ q0 ) ) )
| ~ ( D @ s1 )
| ( B @ s1 ) ),
inference(simp,[status(thm)],[47230]) ).
thf(47232,plain,
! [B: $i,A: $i] :
( ~ ( B @ s1 )
| ( A @ s1 ) ),
inference(pattern_uni,[status(thm)],[47231:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( d ))]]) ).
thf(47248,plain,
! [B: $i,A: $i] :
( ~ ( B @ s1 )
| ( A @ s1 ) ),
inference(simp,[status(thm)],[47232]) ).
thf(47874,plain,
! [B: $i,A: $i] :
( ( ( d @ s1 )
!= ( B @ s1 ) )
| ~ $true
| ( A @ s1 ) ),
inference(paramod_ordered,[status(thm)],[47556,47248]) ).
thf(47875,plain,
! [B: $i,A: $i] :
( ( ( d @ s1 )
!= ( B @ s1 ) )
| ( A @ s1 ) ),
inference(simp,[status(thm)],[47874]) ).
thf(47876,plain,
! [A: $i] : ( A @ s1 ),
inference(pattern_uni,[status(thm)],[47875:[bind(A,$thf( A )),bind(B,$thf( d ))]]) ).
thf(47994,plain,
~ $true,
inference(rewrite,[status(thm)],[371,47876]) ).
thf(47995,plain,
$false,
inference(simp,[status(thm)],[47994]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN200-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.12 % 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
% 0.22/0.49 % Computer : n011.cluster.edu
% 0.22/0.49 % Model : x86_64 x86_64
% 0.22/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.49 % Memory : 8046.5625MB
% 0.22/0.49 % OS : Linux 6.8.0-71-generic
% 0.22/0.50 % CPULimit : 300
% 0.22/0.50 % WCLimit : 300
% 0.22/0.50 % DateTime : Sat Sep 26 17:20:45 UTC 2026
% 0.22/0.50 % CPUTime :
% 0.22/0.50 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
% 1.24/1.29 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 2.53/1.74 % [INFO] Parsing done (445ms).
% 2.53/1.76 % [INFO] Running in sequential loop mode.
% 4.10/2.33 % [INFO] eprover registered as external prover.
% 4.10/2.34 % [INFO] Scanning for conjecture ...
% 4.55/2.54 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 5.10/2.78 % [INFO] Axiom selection finished. Selected 368 axioms (removed 0 axioms).
% 6.25/3.05 % [INFO] Problem is propositional (TPTP CNF).
% 6.25/3.08 % [INFO] Type checking passed.
% 6.25/3.08 % [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 ...
% 193.94/97.22 % [INFO] Killing All external provers ...
% 193.94/97.22 % Time passed: 96525ms (effective reasoning time: 95456ms)
% 193.94/97.23 % Axioms used in derivation (5): rule_125, rule_126, axiom_17, axiom_29, axiom_14
% 193.94/97.23 % No. of inferences in proof: 34
% 193.94/97.23 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 96525 ms resp. 95456 ms w/o parsing
% 193.94/97.26 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 193.94/97.26 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------