%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN264-1 : 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 : n007.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 264.55s 167.93s
% Output : Refutation 264.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 84 ( 6 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 222 ( 42 ~; 38 |; 0 &; 142 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 46 ( 0 ^; 46 !; 0 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(p1_decl,type,
p1: $i > $i > $i > $o ).
thf(e_decl,type,
e: $i ).
thf(c_decl,type,
c: $i ).
thf(d_decl,type,
d: $i ).
thf(k0_decl,type,
k0: $i > $o ).
thf(l0_decl,type,
l0: $i > $o ).
thf(s0_decl,type,
s0: $i > $o ).
thf(b_decl,type,
b: $i ).
thf(n0_decl,type,
n0: $i > $i > $o ).
thf(259,axiom,
c @ l0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
thf(862,plain,
c @ l0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[259]) ).
thf(283,axiom,
e @ k0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
thf(907,plain,
e @ k0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[283]) ).
thf(254,axiom,
c @ ( d @ n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
thf(853,plain,
c @ ( d @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[254]) ).
thf(363,axiom,
! [B: $i,A: $i] :
( ~ ( B @ k0 )
| ~ ( A @ ( d @ n0 ) )
| ( B @ ( A @ ( A @ p1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_063) ).
thf(1055,plain,
! [B: $i,A: $i] :
( ~ ( B @ k0 )
| ~ ( A @ ( d @ n0 ) )
| ( B @ ( A @ ( A @ p1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[363]) ).
thf(1056,plain,
! [B: $i,A: $i] :
( ~ ( B @ k0 )
| ~ ( A @ ( d @ n0 ) )
| ( B @ ( A @ ( A @ p1 ) ) ) ),
inference(cnf,[status(esa)],[1055]) ).
thf(50852,plain,
! [B: $i,A: $i] :
( ( ( c @ ( d @ n0 ) )
!= ( A @ ( d @ n0 ) ) )
| ~ ( B @ k0 )
| ~ $true
| ( B @ ( A @ ( A @ p1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[853,1056]) ).
thf(50853,plain,
! [B: $i,A: $i] :
( ( ( c @ ( d @ n0 ) )
!= ( A @ ( d @ n0 ) ) )
| ~ ( B @ k0 )
| ( B @ ( A @ ( A @ p1 ) ) ) ),
inference(simp,[status(thm)],[50852]) ).
thf(50854,plain,
! [A: $i] :
( ~ ( A @ k0 )
| ( A @ ( c @ ( c @ p1 ) ) ) ),
inference(pattern_uni,[status(thm)],[50853:[bind(A,$thf( c ))]]) ).
thf(50935,plain,
! [A: $i] :
( ~ ( A @ k0 )
| ( A @ ( c @ ( c @ p1 ) ) ) ),
inference(simp,[status(thm)],[50854]) ).
thf(89837,plain,
! [A: $i] :
( ( ( e @ k0 )
!= ( A @ k0 ) )
| ~ $true
| ( A @ ( c @ ( c @ p1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[907,50935]) ).
thf(89838,plain,
! [A: $i] :
( ( ( e @ k0 )
!= ( A @ k0 ) )
| ( A @ ( c @ ( c @ p1 ) ) ) ),
inference(simp,[status(thm)],[89837]) ).
thf(89839,plain,
e @ ( c @ ( c @ p1 ) ),
inference(pattern_uni,[status(thm)],[89838:[bind(A,$thf( e ))]]) ).
thf(273,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( b @ s0 )
| ~ ( A @ ( D @ ( B @ p1 ) ) )
| ~ ( C @ l0 )
| ( A @ ( B @ ( A @ p1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_071) ).
thf(887,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( b @ s0 )
| ~ ( A @ ( D @ ( B @ p1 ) ) )
| ~ ( C @ l0 )
| ( A @ ( B @ ( A @ p1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[273]) ).
thf(888,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( b @ s0 )
| ~ ( A @ ( D @ ( B @ p1 ) ) )
| ~ ( C @ l0 )
| ( A @ ( B @ ( A @ p1 ) ) ) ),
inference(cnf,[status(esa)],[887]) ).
thf(46,axiom,
b @ s0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(456,plain,
b @ s0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(36776,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ ( A @ ( D @ ( B @ p1 ) ) )
| ~ ( C @ l0 )
| ( A @ ( B @ ( A @ p1 ) ) ) ),
inference(rewrite,[status(thm)],[888,456]) ).
thf(36777,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ ( B @ p1 ) ) )
| ~ ( C @ l0 )
| ( A @ ( B @ ( A @ p1 ) ) ) ),
inference(simp,[status(thm)],[36776]) ).
thf(89907,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( e @ ( c @ ( c @ p1 ) ) )
!= ( A @ ( D @ ( B @ p1 ) ) ) )
| ~ $true
| ~ ( C @ l0 )
| ( A @ ( B @ ( A @ p1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[89839,36777]) ).
thf(89908,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( e @ ( c @ ( c @ p1 ) ) )
!= ( A @ ( D @ ( B @ p1 ) ) ) )
| ~ ( C @ l0 )
| ( A @ ( B @ ( A @ p1 ) ) ) ),
inference(simp,[status(thm)],[89907]) ).
thf(89909,plain,
! [A: $i] :
( ~ ( A @ l0 )
| ( e @ ( c @ ( e @ p1 ) ) ) ),
inference(pattern_uni,[status(thm)],[89908:[bind(A,$thf( e )),bind(B,$thf( c )),bind(C,$thf( C )),bind(D,$thf( c ))]]) ).
thf(89982,plain,
! [A: $i] :
( ~ ( A @ l0 )
| ( e @ ( c @ ( e @ p1 ) ) ) ),
inference(simp,[status(thm)],[89909]) ).
thf(1,negated_conjecture,
~ ( e @ ( c @ ( e @ p1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
thf(370,plain,
~ ( e @ ( c @ ( e @ p1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(371,plain,
~ ( e @ ( c @ ( e @ p1 ) ) ),
inference(polarity_switch,[status(thm)],[370]) ).
thf(90425,plain,
! [A: $i] :
( ~ ( A @ l0 )
| $false ),
inference(rewrite,[status(thm)],[89982,371]) ).
thf(90426,plain,
! [A: $i] :
~ ( A @ l0 ),
inference(simp,[status(thm)],[90425]) ).
thf(90427,plain,
$false,
inference(rewrite,[status(thm)],[862,90426]) ).
thf(90428,plain,
$false,
inference(simp,[status(thm)],[90427]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN264-1 : 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
% 0.14/10.42 % Computer : n007.cluster.edu
% 0.14/10.42 % Model : x86_64 x86_64
% 0.14/10.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/10.42 % Memory : 8046.5625MB
% 0.14/10.42 % OS : Linux 6.8.0-71-generic
% 0.14/10.42 % CPULimit : 300
% 0.14/10.42 % WCLimit : 300
% 0.14/10.42 % DateTime : Sat Sep 26 17:25:50 UTC 2026
% 0.14/10.43 % CPUTime :
% 0.14/10.43 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
% 0.19/11.00 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.93/11.31 % [INFO] Parsing done (307ms).
% 1.93/11.32 % [INFO] Running in sequential loop mode.
% 2.73/11.72 % [INFO] eprover registered as external prover.
% 2.73/11.73 % [INFO] Scanning for conjecture ...
% 2.94/11.87 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 3.18/12.02 % [INFO] Axiom selection finished. Selected 368 axioms (removed 0 axioms).
% 4.28/12.21 % [INFO] Problem is propositional (TPTP CNF).
% 4.28/12.22 % [INFO] Type checking passed.
% 4.28/12.23 % [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 ...
% 264.55/167.92 % [INFO] Killing All external provers ...
% 264.55/167.93 % Time passed: 157355ms (effective reasoning time: 156594ms)
% 264.55/167.93 % Axioms used in derivation (6): axiom_26, rule_071, rule_063, axiom_24, axiom_28, axiom_5
% 264.55/167.93 % No. of inferences in proof: 34
% 264.55/167.93 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 157355 ms resp. 156594 ms w/o parsing
% 264.55/167.98 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 264.55/167.98 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------