%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN265-1 : 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 : n005.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 09:17:05 AM UTC 2026
% Result : Unsatisfiable 165.49s 95.66s
% Output : Refutation 165.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 81 ( 8 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 201 ( 37 ~; 30 |; 0 &; 134 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 55 ( 0 ^; 55 !; 0 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
thf(p3_decl,type,
p3: $i > $i > $i > $o ).
thf(a_decl,type,
a: $i ).
thf(k1_decl,type,
k1: $i > $o ).
thf(p0_decl,type,
p0: $i > $i > $o ).
thf(n0_decl,type,
n0: $i > $i > $o ).
thf(p1_decl,type,
p1: $i > $i > $i > $o ).
thf(b_decl,type,
b: $i ).
thf(n2_decl,type,
n2: $i > $o ).
thf(309,axiom,
! [A: $i] :
( ~ ( A @ n2 )
| ~ ( A @ k1 )
| ( A @ ( A @ ( A @ p3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_249) ).
thf(954,plain,
! [A: $i] :
( ~ ( A @ n2 )
| ~ ( A @ k1 )
| ( A @ ( A @ ( A @ p3 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[309]) ).
thf(955,plain,
! [A: $i] :
( ~ ( A @ n2 )
| ~ ( A @ k1 )
| ( A @ ( A @ ( A @ p3 ) ) ) ),
inference(cnf,[status(esa)],[954]) ).
thf(73,axiom,
! [A: $i] : ( A @ ( b @ p0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
thf(503,plain,
! [A: $i] : ( A @ ( b @ p0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(186,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p0 ) )
| ( A @ ( A @ ( A @ p1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_085) ).
thf(719,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p0 ) )
| ( A @ ( A @ ( A @ p1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).
thf(720,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p0 ) )
| ( A @ ( A @ ( A @ p1 ) ) ) ),
inference(cnf,[status(esa)],[719]) ).
thf(20175,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( b @ p0 ) )
!= ( B @ ( C @ p0 ) ) )
| ~ $true
| ( B @ ( B @ ( B @ p1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[503,720]) ).
thf(20176,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( b @ p0 ) )
!= ( B @ ( C @ p0 ) ) )
| ( B @ ( B @ ( B @ p1 ) ) ) ),
inference(simp,[status(thm)],[20175]) ).
thf(20177,plain,
! [A: $i] : ( A @ ( A @ ( A @ p1 ) ) ),
inference(pattern_uni,[status(thm)],[20176:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( b ))]]) ).
thf(108,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ p1 ) ) )
| ( A @ n2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_137) ).
thf(569,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ p1 ) ) )
| ( A @ n2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(570,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ ( B @ p1 ) ) )
| ( A @ n2 ) ),
inference(cnf,[status(esa)],[569]) ).
thf(20299,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( A @ p1 ) ) )
!= ( B @ ( D @ ( C @ p1 ) ) ) )
| ~ $true
| ( B @ n2 ) ),
inference(paramod_ordered,[status(thm)],[20177,570]) ).
thf(20300,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( A @ ( A @ ( A @ p1 ) ) )
!= ( B @ ( D @ ( C @ p1 ) ) ) )
| ( B @ n2 ) ),
inference(simp,[status(thm)],[20299]) ).
thf(20301,plain,
! [A: $i] : ( A @ n2 ),
inference(pattern_uni,[status(thm)],[20300:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( A )),bind(D,$thf( A ))]]) ).
thf(38845,plain,
! [A: $i] :
( ~ $true
| ~ ( A @ k1 )
| ( A @ ( A @ ( A @ p3 ) ) ) ),
inference(rewrite,[status(thm)],[955,20301]) ).
thf(38846,plain,
! [A: $i] :
( ~ ( A @ k1 )
| ( A @ ( A @ ( A @ p3 ) ) ) ),
inference(simp,[status(thm)],[38845]) ).
thf(1,negated_conjecture,
! [A: $i] :
~ ( a @ ( A @ ( A @ p3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(370,plain,
! [A: $i] :
~ ( a @ ( A @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(371,plain,
! [A: $i] :
~ ( a @ ( A @ ( A @ p3 ) ) ),
inference(polarity_switch,[status(thm)],[370]) ).
thf(38856,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ ( A @ p3 ) ) )
!= ( a @ ( B @ ( B @ p3 ) ) ) )
| ~ $true
| ~ ( A @ k1 ) ),
inference(paramod_ordered,[status(thm)],[38846,371]) ).
thf(38857,plain,
! [B: $i,A: $i] :
( ( ( A @ ( A @ ( A @ p3 ) ) )
!= ( a @ ( B @ ( B @ p3 ) ) ) )
| ~ ( A @ k1 ) ),
inference(simp,[status(thm)],[38856]) ).
thf(38858,plain,
~ ( a @ k1 ),
inference(pattern_uni,[status(thm)],[38857:[bind(A,$thf( a )),bind(B,$thf( a ))]]) ).
thf(317,axiom,
a @ ( b @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).
thf(970,plain,
a @ ( b @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[317]) ).
thf(143,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ n0 ) )
| ( A @ k1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).
thf(637,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ n0 ) )
| ( A @ k1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(638,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ n0 ) )
| ( A @ k1 ) ),
inference(cnf,[status(esa)],[637]) ).
thf(3279,plain,
! [B: $i,A: $i] :
( ( ( a @ ( b @ n0 ) )
!= ( A @ ( B @ n0 ) ) )
| ~ $true
| ( A @ k1 ) ),
inference(paramod_ordered,[status(thm)],[970,638]) ).
thf(3280,plain,
! [B: $i,A: $i] :
( ( ( a @ ( b @ n0 ) )
!= ( A @ ( B @ n0 ) ) )
| ( A @ k1 ) ),
inference(simp,[status(thm)],[3279]) ).
thf(3281,plain,
a @ k1,
inference(pattern_uni,[status(thm)],[3280:[bind(A,$thf( a )),bind(B,$thf( b ))]]) ).
thf(38869,plain,
~ $true,
inference(rewrite,[status(thm)],[38858,3281]) ).
thf(38870,plain,
$false,
inference(simp,[status(thm)],[38869]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN265-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.11 % 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
% 0.23/5.69 % Computer : n005.cluster.edu
% 0.23/5.69 % Model : x86_64 x86_64
% 0.23/5.69 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/5.69 % Memory : 8046.5625MB
% 0.23/5.69 % OS : Linux 6.8.0-71-generic
% 0.23/5.69 % CPULimit : 300
% 0.23/5.69 % WCLimit : 300
% 0.23/5.69 % DateTime : Sat Sep 26 17:27:22 UTC 2026
% 0.25/5.70 % CPUTime :
% 0.25/5.70 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
% 1.12/6.38 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 2.21/6.85 % [INFO] Parsing done (459ms).
% 2.21/6.87 % [INFO] Running in sequential loop mode.
% 3.68/7.43 % [INFO] eprover registered as external prover.
% 3.68/7.44 % [INFO] Scanning for conjecture ...
% 4.15/7.65 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 4.70/7.89 % [INFO] Axiom selection finished. Selected 368 axioms (removed 0 axioms).
% 5.62/8.13 % [INFO] Problem is propositional (TPTP CNF).
% 5.62/8.15 % [INFO] Type checking passed.
% 5.88/8.15 % [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 ...
% 165.49/95.64 % [INFO] Killing All external provers ...
% 165.49/95.65 % Time passed: 89780ms (effective reasoning time: 88771ms)
% 165.49/95.66 % Axioms used in derivation (6): rule_085, rule_249, rule_137, axiom_14, rule_001, axiom_37
% 165.49/95.66 % No. of inferences in proof: 35
% 165.49/95.66 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 89780 ms resp. 88771 ms w/o parsing
% 165.75/95.70 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 165.75/95.70 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------