TSTP Solution File: NUM848+1 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : NUM848+1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 01:36:34 EDT 2024
% Result : Theorem 53.61s 8.85s
% Output : Refutation 53.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 9 unt; 7 typ; 0 def)
% Number of atoms : 17 ( 16 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 138 ( 7 ~; 1 |; 3 &; 127 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 11 ( 0 ^ 11 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
thf(vplus_type,type,
vplus: $i > $i > $i ).
thf(vmul_type,type,
vmul: $i > $i > $i ).
thf(vd436_type,type,
vd436: $i ).
thf(vd437_type,type,
vd437: $i ).
thf(vd439_type,type,
vd439: $i ).
thf(vsucc_type,type,
vsucc: $i > $i ).
thf(v1_type,type,
v1: $i ).
thf(1,conjecture,
( ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) )
= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ ( vsucc @ vd439 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(286, 441, 4)') ).
thf(2,negated_conjecture,
( ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) )
!= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ ( vsucc @ vd439 ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(59,plain,
( ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) )
!= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ ( vsucc @ vd439 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(60,plain,
( ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ ( vsucc @ vd439 ) ) )
!= ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) ) ),
inference(lifteq,[status(thm)],[59]) ).
thf(252,plain,
( ( ( vmul @ vd436 @ vd437 )
!= ( vmul @ vd436 @ vd437 ) )
| ( ( vmul @ vd436 @ ( vsucc @ vd439 ) )
!= ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) ) ),
inference(simp,[status(thm)],[60]) ).
thf(265,plain,
( ( vmul @ vd436 @ ( vsucc @ vd439 ) )
!= ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) ),
inference(simp,[status(thm)],[252]) ).
thf(33,axiom,
! [A: $i,B: $i] :
( ( ( vmul @ A @ ( vsucc @ B ) )
= ( vplus @ ( vmul @ A @ B ) @ A ) )
& ( ( vmul @ A @ v1 )
= A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
thf(161,plain,
! [A: $i,B: $i] :
( ( ( vmul @ A @ ( vsucc @ B ) )
= ( vplus @ ( vmul @ A @ B ) @ A ) )
& ( ( vmul @ A @ v1 )
= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(162,plain,
( ! [A: $i,B: $i] :
( ( vmul @ A @ ( vsucc @ B ) )
= ( vplus @ ( vmul @ A @ B ) @ A ) )
& ! [A: $i] :
( ( vmul @ A @ v1 )
= A ) ),
inference(miniscope,[status(thm)],[161]) ).
thf(164,plain,
! [B: $i,A: $i] :
( ( vmul @ A @ ( vsucc @ B ) )
= ( vplus @ ( vmul @ A @ B ) @ A ) ),
inference(cnf,[status(esa)],[162]) ).
thf(167,plain,
! [B: $i,A: $i] :
( ( vmul @ A @ ( vsucc @ B ) )
= ( vplus @ ( vmul @ A @ B ) @ A ) ),
inference(lifteq,[status(thm)],[164]) ).
thf(7901,plain,
( ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 )
!= ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) ),
inference(rewrite,[status(thm)],[265,167]) ).
thf(7902,plain,
$false,
inference(simp,[status(thm)],[7901]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM848+1 : TPTP v8.2.0. Released v4.1.0.
% 0.13/0.14 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 06:43:24 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.91/0.93 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.28/1.14 % [INFO] Parsing done (205ms).
% 1.28/1.15 % [INFO] Running in sequential loop mode.
% 1.83/1.43 % [INFO] nitpick registered as external prover.
% 1.83/1.44 % [INFO] Scanning for conjecture ...
% 2.10/1.51 % [INFO] Found a conjecture (or negated_conjecture) and 56 axioms. Running axiom selection ...
% 2.22/1.56 % [INFO] Axiom selection finished. Selected 56 axioms (removed 0 axioms).
% 2.51/1.64 % [INFO] Problem is first-order (TPTP FOF).
% 2.51/1.65 % [INFO] Type checking passed.
% 2.51/1.65 % [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 ...
% 53.61/8.84 % [INFO] Killing All external provers ...
% 53.61/8.85 % Time passed: 8347ms (effective reasoning time: 7691ms)
% 53.61/8.85 % 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)>
% 53.61/8.85 % Axioms used in derivation (1): qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))
% 53.61/8.85 % No. of inferences in proof: 13
% 53.61/8.85 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 8347 ms resp. 7691 ms w/o parsing
% 53.61/8.92 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 53.61/8.94 % [INFO] Killing All external provers ...
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