%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN188-1 : 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 09:16:57 AM UTC 2026
% Result : Unsatisfiable 252.51s 143.94s
% Output : Refutation 252.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 63 ( 4 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 170 ( 31 ~; 27 |; 0 &; 112 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 41 ( 0 ^; 41 !; 0 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
thf(r1_decl,type,
r1: $i > $o ).
thf(e_decl,type,
e: $i ).
thf(d_decl,type,
d: $i ).
thf(q1_decl,type,
q1: $i > $i > $i > $o ).
thf(m0_decl,type,
m0: $i > $i > $i > $o ).
thf(q0_decl,type,
q0: $i > $i > $o ).
thf(s0_decl,type,
s0: $i > $o ).
thf(1,negated_conjecture,
~ ( e @ r1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
thf(370,plain,
~ ( e @ r1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(371,plain,
~ ( e @ r1 ),
inference(polarity_switch,[status(thm)],[370]) ).
thf(226,axiom,
! [A: $i] : ( d @ ( A @ q0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
thf(799,plain,
! [A: $i] : ( d @ ( A @ q0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[226]) ).
thf(297,axiom,
! [B: $i,A: $i] :
( ~ ( d @ ( B @ ( d @ q1 ) ) )
| ~ ( d @ s0 )
| ~ ( B @ ( A @ q0 ) )
| ( A @ r1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_124) ).
thf(934,plain,
! [B: $i,A: $i] :
( ~ ( d @ ( B @ ( d @ q1 ) ) )
| ~ ( d @ s0 )
| ~ ( B @ ( A @ q0 ) )
| ( A @ r1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[297]) ).
thf(935,plain,
! [B: $i,A: $i] :
( ~ ( d @ ( B @ ( d @ q1 ) ) )
| ~ ( d @ s0 )
| ~ ( B @ ( A @ q0 ) )
| ( A @ r1 ) ),
inference(cnf,[status(esa)],[934]) ).
thf(207,axiom,
d @ s0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(763,plain,
d @ s0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[207]) ).
thf(45918,plain,
! [B: $i,A: $i] :
( ~ ( d @ ( B @ ( d @ q1 ) ) )
| ~ $true
| ~ ( B @ ( A @ q0 ) )
| ( A @ r1 ) ),
inference(rewrite,[status(thm)],[935,763]) ).
thf(45919,plain,
! [B: $i,A: $i] :
( ~ ( d @ ( B @ ( d @ q1 ) ) )
| ~ ( B @ ( A @ q0 ) )
| ( A @ r1 ) ),
inference(simp,[status(thm)],[45918]) ).
thf(45962,plain,
! [C: $i,B: $i,A: $i] :
( ( ( d @ ( A @ q0 ) )
!= ( C @ ( B @ q0 ) ) )
| ~ ( d @ ( C @ ( d @ q1 ) ) )
| ~ $true
| ( B @ r1 ) ),
inference(paramod_ordered,[status(thm)],[799,45919]) ).
thf(45963,plain,
! [C: $i,B: $i,A: $i] :
( ( ( d @ ( A @ q0 ) )
!= ( C @ ( B @ q0 ) ) )
| ~ ( d @ ( C @ ( d @ q1 ) ) )
| ( B @ r1 ) ),
inference(simp,[status(thm)],[45962]) ).
thf(45964,plain,
! [A: $i] :
( ~ ( d @ ( d @ ( d @ q1 ) ) )
| ( A @ r1 ) ),
inference(pattern_uni,[status(thm)],[45963:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( d ))]]) ).
thf(203,axiom,
! [B: $i,A: $i] : ( B @ ( d @ ( A @ m0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
thf(757,plain,
! [B: $i,A: $i] : ( B @ ( d @ ( A @ m0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[203]) ).
thf(101,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( A @ m0 ) ) )
| ( A @ ( A @ ( A @ q1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_122) ).
thf(558,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( A @ m0 ) ) )
| ( A @ ( A @ ( A @ q1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(559,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ ( A @ m0 ) ) )
| ( A @ ( A @ ( A @ q1 ) ) ) ),
inference(cnf,[status(esa)],[558]) ).
thf(12571,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( d @ ( A @ m0 ) ) )
!= ( C @ ( D @ ( C @ m0 ) ) ) )
| ~ $true
| ( C @ ( C @ ( C @ q1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[757,559]) ).
thf(12572,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( d @ ( A @ m0 ) ) )
!= ( C @ ( D @ ( C @ m0 ) ) ) )
| ( C @ ( C @ ( C @ q1 ) ) ) ),
inference(simp,[status(thm)],[12571]) ).
thf(12573,plain,
! [A: $i] : ( A @ ( A @ ( A @ q1 ) ) ),
inference(pattern_uni,[status(thm)],[12572:[bind(A,$thf( B )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( d ))]]) ).
thf(12596,plain,
! [A: $i] : ( A @ ( A @ ( A @ q1 ) ) ),
inference(simp,[status(thm)],[12573]) ).
thf(46976,plain,
! [A: $i] :
( ~ $true
| ( A @ r1 ) ),
inference(rewrite,[status(thm)],[45964,12596]) ).
thf(46977,plain,
! [A: $i] : ( A @ r1 ),
inference(simp,[status(thm)],[46976]) ).
thf(46980,plain,
~ $true,
inference(rewrite,[status(thm)],[371,46977]) ).
thf(46981,plain,
$false,
inference(simp,[status(thm)],[46980]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN188-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.11 % 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
% 0.22/0.46 % Computer : n007.cluster.edu
% 0.22/0.46 % Model : x86_64 x86_64
% 0.22/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.46 % Memory : 8046.5625MB
% 0.22/0.46 % OS : Linux 6.8.0-71-generic
% 0.22/0.46 % CPULimit : 300
% 0.22/0.46 % WCLimit : 300
% 0.22/0.46 % DateTime : Sat Sep 26 17:17:24 UTC 2026
% 0.22/0.47 % CPUTime :
% 0.22/0.47 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
% 1.26/1.23 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.03/1.58 % [INFO] Parsing done (344ms).
% 2.03/1.60 % [INFO] Running in sequential loop mode.
% 4.13/2.19 % [INFO] eprover registered as external prover.
% 4.26/2.20 % [INFO] Scanning for conjecture ...
% 4.73/2.40 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 5.34/2.63 % [INFO] Axiom selection finished. Selected 368 axioms (removed 0 axioms).
% 6.07/2.89 % [INFO] Problem is propositional (TPTP CNF).
% 6.29/2.90 % [INFO] Type checking passed.
% 6.29/2.91 % [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 ...
% 252.51/143.93 % [INFO] Killing All external provers ...
% 252.51/143.94 % Time passed: 143256ms (effective reasoning time: 142323ms)
% 252.51/143.94 % Axioms used in derivation (5): rule_124, axiom_19, axiom_1, rule_122, axiom_17
% 252.51/143.94 % No. of inferences in proof: 28
% 252.51/143.94 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 143256 ms resp. 142323 ms w/o parsing
% 252.51/143.98 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 252.51/143.98 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------