%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : NUM854+1 : TPTP v9.3.1. Released v4.1.0.
% 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 : n011.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 08:10:12 AM UTC 2026
% Result : Theorem 35.04s 7.49s
% Output : Refutation 26.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 2 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 92 ( 10 ~; 4 |; 0 &; 76 @)
% ( 0 <=>; 2 =>; 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 : 8 ( 5 usr; 5 con; 0-2 aty)
% Number of variables : 15 ( 0 ^; 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(greater_decl,type,
greater: $i > $i > $o ).
thf(vmul_decl,type,
vmul: $i > $i > $i ).
thf(vd508_decl,type,
vd508: $i ).
thf(vd511_decl,type,
vd511: $i ).
thf(vd509_decl,type,
vd509: $i ).
thf(37,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ greater ) )
=> ( A @ ( C @ vmul ) @ ( A @ ( B @ vmul ) @ greater ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(299, 0), 2)') ).
thf(194,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ greater ) )
=> ( A @ ( C @ vmul ) @ ( A @ ( B @ vmul ) @ greater ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(195,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( C @ vmul ) @ ( A @ ( B @ vmul ) @ greater ) )
| ~ ( C @ ( B @ greater ) ) ),
inference(cnf,[status(esa)],[194]) ).
thf(1,conjecture,
vd511 @ ( vd509 @ vmul ) @ ( vd511 @ ( vd508 @ vmul ) @ greater ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(315), 514, 0)') ).
thf(2,negated_conjecture,
~ ( vd511 @ ( vd509 @ vmul ) @ ( vd511 @ ( vd508 @ vmul ) @ greater ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(61,plain,
~ ( vd511 @ ( vd509 @ vmul ) @ ( vd511 @ ( vd508 @ vmul ) @ greater ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8490,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( C @ vmul ) @ ( A @ ( B @ vmul ) @ greater ) )
!= ( vd511 @ ( vd509 @ vmul ) @ ( vd511 @ ( vd508 @ vmul ) @ greater ) ) )
| ~ $true
| ~ ( C @ ( B @ greater ) ) ),
inference(paramod_ordered,[status(thm)],[195,61]) ).
thf(8491,plain,
! [C: $i,B: $i,A: $i] :
( ( ( A @ ( C @ vmul ) @ ( A @ ( B @ vmul ) @ greater ) )
!= ( vd511 @ ( vd509 @ vmul ) @ ( vd511 @ ( vd508 @ vmul ) @ greater ) ) )
| ~ ( C @ ( B @ greater ) ) ),
inference(simp,[status(thm)],[8490]) ).
thf(8492,plain,
~ ( vd509 @ ( vd508 @ greater ) ),
inference(pattern_uni,[status(thm)],[8491:[bind(A,$thf( vd511 )),bind(B,$thf( vd508 )),bind(C,$thf( vd509 ))]]) ).
thf(50,axiom,
vd509 @ ( vd508 @ greater ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(314), 510, 0)') ).
thf(236,plain,
vd509 @ ( vd508 @ greater ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(8562,plain,
~ $true,
inference(rewrite,[status(thm)],[8492,236]) ).
thf(8563,plain,
$false,
inference(simp,[status(thm)],[8562]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM854+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % 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 : n011.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 04:13:43 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
% 0.71/0.70 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.96/0.83 % [INFO] Parsing done (127ms).
% 0.96/0.84 % [INFO] Running in sequential loop mode.
% 1.72/1.04 % [INFO] eprover registered as external prover.
% 1.72/1.04 % [INFO] Scanning for conjecture ...
% 1.72/1.09 % [INFO] Found a conjecture (or negated_conjecture) and 58 axioms. Running axiom selection ...
% 1.94/1.17 % [INFO] Axiom selection finished. Selected 58 axioms (removed 0 axioms).
% 2.08/1.27 % [INFO] Problem is first-order (TPTP FOF).
% 2.08/1.28 % [INFO] Type checking passed.
% 2.08/1.29 % [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 ...
% 35.04/7.48 % [INFO] Killing All external provers ...
% 35.04/7.49 % Time passed: 6993ms (effective reasoning time: 6647ms)
% 35.04/7.49 % Solved by 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)>
% 35.04/7.49 % Axioms used in derivation (2): ass(cond(299, 0), 2), holds(conjunct1(314), 510, 0)
% 35.04/7.49 % No. of inferences in proof: 13
% 35.04/7.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 6993 ms resp. 6647 ms w/o parsing
% 26.09/7.52 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 26.09/7.52 % [INFO] Killing All external provers ...
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