%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN189-1 : 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 : n017.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 09:16:58 AM UTC 2026
% Result : Unsatisfiable 209.30s 117.18s
% Output : Refutation 209.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 86 ( 6 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 192 ( 42 ~; 39 |; 0 &; 111 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 33 ( 0 ^; 33 !; 0 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
thf(r2_decl,type,
r2: $i > $o ).
thf(c_decl,type,
c: $i ).
thf(d_decl,type,
d: $i ).
thf(q0_decl,type,
q0: $i > $i > $o ).
thf(q1_decl,type,
q1: $i > $i > $i > $o ).
thf(l0_decl,type,
l0: $i > $o ).
thf(s0_decl,type,
s0: $i > $o ).
thf(r1_decl,type,
r1: $i > $o ).
thf(311,axiom,
c @ l0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
thf(959,plain,
c @ l0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[311]) ).
thf(325,axiom,
! [A: $i] :
( ~ ( A @ l0 )
| ~ ( A @ r1 )
| ( A @ r2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_188) ).
thf(986,plain,
! [A: $i] :
( ~ ( A @ l0 )
| ~ ( A @ r1 )
| ( A @ r2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[325]) ).
thf(987,plain,
! [A: $i] :
( ~ ( A @ l0 )
| ~ ( A @ r1 )
| ( A @ r2 ) ),
inference(cnf,[status(esa)],[986]) ).
thf(239,axiom,
! [A: $i] : ( d @ ( A @ q0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
thf(819,plain,
! [A: $i] : ( d @ ( A @ q0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[239]) ).
thf(31,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(428,plain,
! [B: $i,A: $i] :
( ~ ( d @ ( B @ ( d @ q1 ) ) )
| ~ ( d @ s0 )
| ~ ( B @ ( A @ q0 ) )
| ( A @ r1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(429,plain,
! [B: $i,A: $i] :
( ~ ( d @ ( B @ ( d @ q1 ) ) )
| ~ ( d @ s0 )
| ~ ( B @ ( A @ q0 ) )
| ( A @ r1 ) ),
inference(cnf,[status(esa)],[428]) ).
thf(217,axiom,
d @ s0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(778,plain,
d @ s0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[217]) ).
thf(3136,plain,
! [B: $i,A: $i] :
( ~ ( d @ ( B @ ( d @ q1 ) ) )
| ~ $true
| ~ ( B @ ( A @ q0 ) )
| ( A @ r1 ) ),
inference(rewrite,[status(thm)],[429,778]) ).
thf(3137,plain,
! [B: $i,A: $i] :
( ~ ( d @ ( B @ ( d @ q1 ) ) )
| ~ ( B @ ( A @ q0 ) )
| ( A @ r1 ) ),
inference(simp,[status(thm)],[3136]) ).
thf(3144,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)],[819,3137]) ).
thf(3145,plain,
! [C: $i,B: $i,A: $i] :
( ( ( d @ ( A @ q0 ) )
!= ( C @ ( B @ q0 ) ) )
| ~ ( d @ ( C @ ( d @ q1 ) ) )
| ( B @ r1 ) ),
inference(simp,[status(thm)],[3144]) ).
thf(3146,plain,
! [A: $i] :
( ~ ( d @ ( d @ ( d @ q1 ) ) )
| ( A @ r1 ) ),
inference(pattern_uni,[status(thm)],[3145:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( d ))]]) ).
thf(28,axiom,
! [A: $i] :
( ~ ( A @ s0 )
| ( A @ ( A @ ( A @ q1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_097) ).
thf(422,plain,
! [A: $i] :
( ~ ( A @ s0 )
| ( A @ ( A @ ( A @ q1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(423,plain,
! [A: $i] :
( ~ ( A @ s0 )
| ( A @ ( A @ ( A @ q1 ) ) ) ),
inference(cnf,[status(esa)],[422]) ).
thf(2582,plain,
! [A: $i] :
( ( ( d @ s0 )
!= ( A @ s0 ) )
| ~ $true
| ( A @ ( A @ ( A @ q1 ) ) ) ),
inference(paramod_ordered,[status(thm)],[778,423]) ).
thf(2583,plain,
! [A: $i] :
( ( ( d @ s0 )
!= ( A @ s0 ) )
| ( A @ ( A @ ( A @ q1 ) ) ) ),
inference(simp,[status(thm)],[2582]) ).
thf(2584,plain,
d @ ( d @ ( d @ q1 ) ),
inference(pattern_uni,[status(thm)],[2583:[bind(A,$thf( d ))]]) ).
thf(7223,plain,
! [A: $i] :
( ~ $true
| ( A @ r1 ) ),
inference(rewrite,[status(thm)],[3146,2584]) ).
thf(7224,plain,
! [A: $i] : ( A @ r1 ),
inference(simp,[status(thm)],[7223]) ).
thf(74949,plain,
! [A: $i] :
( ~ ( A @ l0 )
| ~ $true
| ( A @ r2 ) ),
inference(rewrite,[status(thm)],[987,7224]) ).
thf(74950,plain,
! [A: $i] :
( ~ ( A @ l0 )
| ( A @ r2 ) ),
inference(simp,[status(thm)],[74949]) ).
thf(74951,plain,
! [A: $i] :
( ( ( c @ l0 )
!= ( A @ l0 ) )
| ~ $true
| ( A @ r2 ) ),
inference(paramod_ordered,[status(thm)],[959,74950]) ).
thf(74952,plain,
! [A: $i] :
( ( ( c @ l0 )
!= ( A @ l0 ) )
| ( A @ r2 ) ),
inference(simp,[status(thm)],[74951]) ).
thf(74953,plain,
c @ r2,
inference(pattern_uni,[status(thm)],[74952:[bind(A,$thf( c ))]]) ).
thf(1,negated_conjecture,
~ ( c @ r2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
thf(370,plain,
~ ( c @ r2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(371,plain,
~ ( c @ r2 ),
inference(polarity_switch,[status(thm)],[370]) ).
thf(74957,plain,
$false,
inference(rewrite,[status(thm)],[74953,371]) ).
thf(74958,plain,
$false,
inference(simp,[status(thm)],[74957]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN189-1 : 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 : n017.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 17:14:48 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 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
% 0.85/1.00 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.80/1.32 % [INFO] Parsing done (315ms).
% 1.80/1.34 % [INFO] Running in sequential loop mode.
% 2.68/1.74 % [INFO] eprover registered as external prover.
% 2.68/1.74 % [INFO] Scanning for conjecture ...
% 2.87/1.89 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 3.55/2.05 % [INFO] Axiom selection finished. Selected 368 axioms (removed 0 axioms).
% 4.17/2.25 % [INFO] Problem is propositional (TPTP CNF).
% 4.17/2.27 % [INFO] Type checking passed.
% 4.17/2.27 % [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 ...
% 209.30/117.17 % [INFO] Killing All external provers ...
% 209.30/117.18 % Time passed: 116623ms (effective reasoning time: 115827ms)
% 209.30/117.18 % Axioms used in derivation (6): rule_124, rule_097, axiom_1, axiom_17, axiom_24, rule_188
% 209.30/117.18 % No. of inferences in proof: 35
% 209.30/117.18 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 116623 ms resp. 115827 ms w/o parsing
% 209.30/117.19 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 209.30/117.19 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------