%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN199-1 : TPTP v9.3.1. Released v1.1.0.
% 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 : n003.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 144.74s 79.99s
% Output : Refutation 144.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 79 ( 8 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 152 ( 34 ~; 30 |; 0 &; 88 @)
% ( 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; 6 con; 0-2 aty)
% Number of variables : 38 ( 0 ^; 38 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
thf(s1_decl,type,
s1: $i > $o ).
thf(d_decl,type,
d: $i ).
thf(a_decl,type,
a: $i ).
thf(c_decl,type,
c: $i ).
thf(q0_decl,type,
q0: $i > $i > $o ).
thf(p0_decl,type,
p0: $i > $i > $o ).
thf(b_decl,type,
b: $i ).
thf(75,axiom,
! [A: $i] : ( A @ ( b @ p0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
thf(511,plain,
! [A: $i] : ( A @ ( b @ p0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(292,axiom,
! [A: $i] :
( ~ ( A @ ( A @ p0 ) )
| ( A @ s1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_125) ).
thf(928,plain,
! [A: $i] :
( ~ ( A @ ( A @ p0 ) )
| ( A @ s1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[292]) ).
thf(929,plain,
! [A: $i] :
( ~ ( A @ ( A @ p0 ) )
| ( A @ s1 ) ),
inference(cnf,[status(esa)],[928]) ).
thf(4190,plain,
! [B: $i,A: $i] :
( ( ( A @ ( b @ p0 ) )
!= ( B @ ( B @ p0 ) ) )
| ~ $true
| ( B @ s1 ) ),
inference(paramod_ordered,[status(thm)],[511,929]) ).
thf(4191,plain,
! [B: $i,A: $i] :
( ( ( A @ ( b @ p0 ) )
!= ( B @ ( B @ p0 ) ) )
| ( B @ s1 ) ),
inference(simp,[status(thm)],[4190]) ).
thf(4192,plain,
b @ s1,
inference(pattern_uni,[status(thm)],[4191:[bind(A,$thf( b )),bind(B,$thf( b ))]]) ).
thf(239,axiom,
b @ ( a @ q0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).
thf(827,plain,
b @ ( a @ q0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[239]) ).
thf(347,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ s1 )
| ~ ( B @ ( A @ q0 ) )
| ( A @ s1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_126) ).
thf(1023,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ s1 )
| ~ ( B @ ( A @ q0 ) )
| ( A @ s1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[347]) ).
thf(1024,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ s1 )
| ~ ( B @ ( A @ q0 ) )
| ( A @ s1 ) ),
inference(cnf,[status(esa)],[1023]) ).
thf(48816,plain,
! [C: $i,B: $i,A: $i] :
( ( ( b @ ( a @ q0 ) )
!= ( B @ ( A @ q0 ) ) )
| ~ ( C @ s1 )
| ~ $true
| ( A @ s1 ) ),
inference(paramod_ordered,[status(thm)],[827,1024]) ).
thf(48817,plain,
! [C: $i,B: $i,A: $i] :
( ( ( b @ ( a @ q0 ) )
!= ( B @ ( A @ q0 ) ) )
| ~ ( C @ s1 )
| ( A @ s1 ) ),
inference(simp,[status(thm)],[48816]) ).
thf(48818,plain,
! [A: $i] :
( ~ ( A @ s1 )
| ( a @ s1 ) ),
inference(pattern_uni,[status(thm)],[48817:[bind(A,$thf( a )),bind(B,$thf( b ))]]) ).
thf(48825,plain,
! [A: $i] :
( ~ ( A @ s1 )
| ( a @ s1 ) ),
inference(simp,[status(thm)],[48818]) ).
thf(48845,plain,
! [A: $i] :
( ( ( b @ s1 )
!= ( A @ s1 ) )
| ~ $true
| ( a @ s1 ) ),
inference(paramod_ordered,[status(thm)],[4192,48825]) ).
thf(48846,plain,
! [A: $i] :
( ( ( b @ s1 )
!= ( A @ s1 ) )
| ( a @ s1 ) ),
inference(simp,[status(thm)],[48845]) ).
thf(48847,plain,
a @ s1,
inference(pattern_uni,[status(thm)],[48846:[bind(A,$thf( b ))]]) ).
thf(329,axiom,
c @ ( d @ q0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_33) ).
thf(994,plain,
c @ ( d @ q0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[329]) ).
thf(48801,plain,
! [C: $i,B: $i,A: $i] :
( ( ( c @ ( d @ q0 ) )
!= ( B @ ( A @ q0 ) ) )
| ~ ( C @ s1 )
| ~ $true
| ( A @ s1 ) ),
inference(paramod_ordered,[status(thm)],[994,1024]) ).
thf(48802,plain,
! [C: $i,B: $i,A: $i] :
( ( ( c @ ( d @ q0 ) )
!= ( B @ ( A @ q0 ) ) )
| ~ ( C @ s1 )
| ( A @ s1 ) ),
inference(simp,[status(thm)],[48801]) ).
thf(48803,plain,
! [A: $i] :
( ~ ( A @ s1 )
| ( d @ s1 ) ),
inference(pattern_uni,[status(thm)],[48802:[bind(A,$thf( d )),bind(B,$thf( c ))]]) ).
thf(48826,plain,
! [A: $i] :
( ~ ( A @ s1 )
| ( d @ s1 ) ),
inference(simp,[status(thm)],[48803]) ).
thf(1,negated_conjecture,
~ ( d @ s1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
thf(370,plain,
~ ( d @ s1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(371,plain,
~ ( d @ s1 ),
inference(polarity_switch,[status(thm)],[370]) ).
thf(49060,plain,
! [A: $i] :
( ~ ( A @ s1 )
| $false ),
inference(rewrite,[status(thm)],[48826,371]) ).
thf(49061,plain,
! [A: $i] :
~ ( A @ s1 ),
inference(simp,[status(thm)],[49060]) ).
thf(49062,plain,
$false,
inference(rewrite,[status(thm)],[48847,49061]) ).
thf(49063,plain,
$false,
inference(simp,[status(thm)],[49062]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN199-1 : TPTP v9.3.1. Released v1.1.0.
% 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
% 0.13/0.40 % Computer : n003.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sat Sep 26 17:22:39 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 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
% 0.84/0.99 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.34/1.28 % [INFO] Parsing done (287ms).
% 1.34/1.29 % [INFO] Running in sequential loop mode.
% 2.46/1.68 % [INFO] eprover registered as external prover.
% 2.46/1.69 % [INFO] Scanning for conjecture ...
% 2.87/1.82 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 3.09/1.96 % [INFO] Axiom selection finished. Selected 368 axioms (removed 0 axioms).
% 3.92/2.15 % [INFO] Problem is propositional (TPTP CNF).
% 3.92/2.16 % [INFO] Type checking passed.
% 3.92/2.17 % [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 ...
% 144.74/79.98 % [INFO] Killing All external provers ...
% 144.74/79.98 % Time passed: 79430ms (effective reasoning time: 78683ms)
% 144.74/79.99 % Axioms used in derivation (5): axiom_33, rule_125, rule_126, axiom_36, axiom_14
% 144.74/79.99 % No. of inferences in proof: 33
% 144.74/79.99 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 79430 ms resp. 78683 ms w/o parsing
% 144.74/80.02 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 144.74/80.02 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------